### 2017

17-01 Numerical study on the convergence to steady state solutions of a new class of finite volume WENO schemes: triangular meshes. Jun Zhu and Chi-Wang Shu.

17-02 Entropy stable high order discontinuous Galerkin methods for ideal compressible MHD on structured meshes. Yong Liu, Chi-Wang Shu and Mengping Zhang.

17-03 Bound-preserving modified exponential Runge-Kutta discontinuous Galerkin methods for scalar conservation laws with stiff source terms, Juntao Huang and Chi-Wang Shu.

17-04 Discontinuous-Galerkin Methods for a Kinetic Model of Self-Organized Dynamics, Francis Filbet and Chi-Wang Shu.

17-05 On the convergence to steady state solutions of a new class of high order WENO schemes, Jun Zhu and Chi-Wang Shu.

17-06 A discontinuous Galerkin method for nonlinear parabolic equations and gradient flow problems with interaction potentials, Zheng Sun, Jose A. Carillo and Chi-Wang Shu.

17-07 Implicit positivity preserving high order discontinuous Galerkin methods for conservation laws, Tong Qin and Chi-Wang Shu.

17-08 Positivity-preserving and symmetry-preserving Lagrangian schemes for compressible Euler equations in cylindrical coordinates, Dan Ling, Juan Cheng, and Chi-Wang Shu.

17-09 On local conservation of numerical methods for conservation laws, Cengke Shi and Chi-Wang Shu.

17-10 On the time growth of the error of the DG method for advective problems, Václav Kučera and Chi-Wang Shu.

17-11 Unconditional energy stability analysis of a second order implicit-explicit local discontinuous Galerkin method for the Cahn-Hilliard equation, Huailing Song and Chi-Wang Shu.

17-12 A New Trouble-Cell Indicator for Discontinuous Galerkin Methods for Hyperbolic Conservation Laws, Guosheng Fu and Chi-Wang Shu.

17-13 Entropy stable high order discontinuous Galerkin methods with suitable quadrature rules for hyperbolic conservation laws, Tianheng Chen and Chi-Wang Shu

### 2016

16-01 Positivity-preserving high-order schemes for conservation laws onarbitrarily distributed point clouds with a simple WENO limiter, Jie Du and Chi-Wang Shu.

16-02 Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs, Haijin Wang, Qiang Zhang, and Chi-Wang Shu.

16-03 Finite difference Hermite WENO schemes for the Hamilton-Jacobi equations, Feng Zheng, Chi-Wang Shu, and Jianxian Qiu.

16-04 Analysis of an embedded discontinuous Galerkin method with implicit-explicit time-marching for convection-diffusion problems. Guosheng Fu and Chi Wang Shu.

16-05 Local discontinuous Galerkin methods with implicit-explicit

time-marching for time-dependent incompressible fluid flow, Haijin Wang, Yunxian Liu, Qing Zhang, Chi-Wang Shu.

16-06 Optimal error estimates of the semidiscrete central discontinuous Galerkin methods for linear hyperbolic equations, Yong Liu, Chi-Wang Shu, and Mengping Zhang.

16-07 Discontinuous Galerkin methods for weakly coupled hyperbolic

multi-domain problems, Qingyuan Liu, Chi-Wang Shu and Mengping Zhang.

16-08 Stability of the fourth order Runge-Kutta method for time-dependent partial differential equations, Zheng Sun and Chi-Wang Shu.

16-09 Robust Flux Error Estimation of Nitsche’s Method for High Contrast Interface Problems, Erik Burman, Johnny Guzman, Manuel A. Sanchez and Marcus Sarkis.

16-10 A phase-based interior penalty discontinuous Galerkin method for the Helmholtz equation with spatially varying wave number, Chi Yeung Lam and Chi-Wang Shu.

16-11 A second-order asymptotic-preserving and positive-preserving discontinuous Galerkin scheme for the Kerr-Debye model, Juntao Huang and Chi-Wang Shu.

16-12 INF-SUP stability of geometrically unfitted Stokes finite elements, Johnny Guzman and Maxim Olshanskii.

16-13 Error estimates to smooth solutions of semi-discrete discontinuous Galerkin methods with quadrature rules for scalar conservation laws, by Juntao Huang and Chi-Wang Shu

16-14 Inverse Lax-Wendroff procedure for numerical boundary treatment of hyperbolic equations, by Chi-Wang Shu and Sirui Tan

16-15 Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients by Waixiang Cao, Chi-Wang Shu, and Zhimin Zhang

16-16 A simple bound-preserving sweeping technique for conservative numerical approximations by Yuan Liu, Yingda Cheng, and Chi-Wang Shu

16-17 Stability analysis and error estimates of Lax-Wendroff discontinuous Galerkin methods for linear conservation laws by Zheng Sun and Chi-Wang Shu

16-18 A high order stable conservative method for solving hyperbolic conservation laws on arbitrarily distributed point clouds by Jie Du and Chi-Wang Shu on February 9, 2016.

16-19 High order positivity-preserving discontinuous Galerkin methods for radiative transfer equations by Daming Yuan, Juan Cheng and Chi-Wang Shu on February 11, 2016.

16-20 Inverse Lax-Wendroff procedure for numerical boundary conditions of

convection-diffusion equations, by Jianfang Lu, Jinwei Fang, Sirui Tan, Chi-Wang Shu, and Mengping Zhang

16-21 High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments, by Chi-Wang Shu

16-22 Stability analysis of the inverse Lax-Wendroff boundary treatment for high order central difference schemes for diffusion equations, by Tingting Li, Chi-Wang Shu and Mengping Zhang

### 2015

15-01 Analysis of the local discontinuous Galerkin method for the drift-diffusion model of semiconductor devices by Yuanxian Liu and Chi-Wang Shu on Jan. 20, 2015.

15-02 A new multiscale discontinuous Galerkin method for the one-dimensional stationary Schrodinger equation by Bo Dong, Chi-Wang Shu, and Wei Wang on February 27, 2015.

15-03 Parallel adaptive mesh refinement method based on WENO finite difference scheme for the simulation of multi-dimensional detonation by Cheng Wang, Xin Zhuang Dong, and Chi-Wang Shu on March 21, 2015.

15-04 Local discontinuous Galerkin methods with implicit-explicit time-marching for multi-dimensional convection-diffusion problems by Haijin Wang, Shiping Wang, Qiang Zhang, and Chi-Wang Shu on March 24, 2015.

15-05 Bound-preserving discontinuous Galerkin methods for relativistic hydrodynamics by Tong Qin, Chi-Wang Shu, and Yang Yang on April 14, 2015.

15-06 Stability analysis of the inverse Lax-Wendroff boundary treatment for high order upwind-biased finite difference schemes by Tingting Li, Chi-Wang Shu, and Mengping Zhang on May 4, 2015.

15-07 H(div) conforming and DG methods for incompressible Euler’s equations by Johnny Guzman, Filander A. Sequeira, and Chi-Wang Shu on June 24, 2015.

15-08 A Finite Element Method for High-Contrast Interface Problems with Error Estimates Independent of Contrast by Johnny Guzman, Manuel A. Sanchez, and Marcus Sarkis on July 13, 2015.

15-09 High order fixed-point sweeping WENO methods for steady state of hyperbolic conservation laws and its convergence study by Liang Wu, Yong-Tao Zhang, Shuhai Zhang, Chi-Wang Shu on July 28, 2015.

15-10 Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: From first-order to high-orders by Francois Vilar, Chi-Wang Shu, and Pierre-Henri Maire on September 4, 2015.

15-11 Local discontinuous Galerkin method for the Keller-Segel chemotaxis model by Xingjie Helen Li, Chi-Wang Shu, and Yang Yang on September 29, 2015.

15-12 Optimal non-dissipative discontinuous Galerkin methods for Maxwell’s equations in Drude metamaterials by Jichun Li, Cengke Shi, Chi-Wang Shu on October 16, 2015.

15-13 Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter on unstructured meshes by Jun Zhu, Xinghui Zhong, Chi-Wang Shu, and Jianxian Qiu on October 23, 2015.

15-14 Computing the Bezier control points of the Lagrangian interpolant in arbitrary dimension by Mark Ainsworth and Manuel Sanchez on October 30, 2015.

15-15 Three-dimensional high order large-scale numerical investigation on the air explosion by Cheng Wang, Jian Xu Ding, Chi-Wang Shu, and Tao Li on November 9, 2015.

15-16 Multigrid at Scale? by Mark Ainsworth and Christian Glusa on December 11, 2015.

### 2014

14-01 Reformulating the Hoogendoorn-Bovy predictive dynamic user-optimal model in continuum space with anisotropic condition by Jie Du, S.C. Wong, Chi-Wang Shu, and Mengping Zhang, Dec. 2, 2014.

14-02 Higher-order finite element methods for elliptic problems with interfaces by Johnny Guzman, Manuel Sanchez-Uribe, Marcus Sarkis on Nov. 13, 2014.

14-03 Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for nonlinear convection-diffusion problems by Haijin Wang , Chi-Wang Shu and Qiang Zhang on Sept. 16, 2014.

14-04 A new class of central compact schemes with spectral-like resolution II: Hybrid weighted nonlinear schemes by Xuliang Liu, Shuhai Zhang, Hanxin Zhang and Chi-Wang Sh on Aug. 26, 2014.

14-05 Runge-Kutta discontinuous Galerkin method with a simple and compact Hermite WENO limiter by Jun Zhu, Xinghui Zhong, Chi-Wang Shu and Jianxian Qiu on Aug. 12, 2014.

14-06 A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework on unstructured meshes by Jie Du, Chi-Wang Shu and Mengping Zhang on Aug. 5, 2014.

14-07 Stabilization of high aspect ratio mixed finite elements for incompressible flow by Mark Ainsworth, Gabriel R. Barrenechea and Andreas Wachtel on June 18, 2014

14-08 Discrete Extension Operators for Mixed finite element spaces on locally refined meshes by Mark Ainsworth, Johnny Guzman, Francisco J. Sayas on June 18, 2014

14-09 Numerical Solution of the viscous surface wave with discontinuous Galerkin method by Lei Wu and Chi-Wang SHu on June 2, 2014

14-10 On the accuracy of finite element approximations to a class of interface problems by Johnny Guzman , Manuel Sanchez-Uribe and Marcus Sarkis on March 28, 2014

14-11 A Survey of High Order Schemes for the Shallow Water Equations by Yulong Xing and Chi-Wang Shu on March 17, 2014

14-12 Recovering exponential accuracy in Fourier spectral methods involving piecewise smooth functions with unbounded derivative singularities by Zheng Chen and Chi-Wang Shu on March 5, 2014

14-13 High order finite difference methods with subcell resolution for stiff multispecies detonation capturing by Wei Wang , Chi-Wang Shu, H. C. Yee, Dmitry V. Kotov and Bjorn Sjogreen on Feb. 26, 2014

14-14 Stability and error estimates of local discontinous Galerkin Methods with implicit-explicit time-marching for convection-diffusion, by Haijin Wang, Chi-Wang Shu, and Qiang Zhang on Feb. 11, 2014

14-15 High order ﬁnite diﬀerence WENO schemes with positivity-preserving limiter for correlated random walk with density-dependent turning rates, by Yan Jiang , Chi-Wang Shu and Mengping Zhang on Feb. 5, 2014

### 2013

13-01 Second order symmetry-preserving conservative Lagrangian scheme for compressible Euler equations in two-dimensional cylindrical coordinates, by Juang Cheng and Chi-Wang Shu on Dec. 12, 2013

13-02 Development and stability analysis of the inverse Lax-Wendroff boundary treatment for central compact schemes, by Francois Vilar and Chi-Wang Shu on Nov. 12, 2013

13-03 Max-norm Stability of low order Taylor-Hood elements in three dimensions, by J. Guzman and M. Sanchez-Uribe on Sept. 16, 2013

13-04 Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations, by Xiong Meng, Chi-Wang Shu and Boying Wu on Aug. 23, 2013

13-05* A priori* error estimates to smooth solutions of the third order Runge-Kutta discontinuous Galerkin method for symmetrizable systems of conservation, by Juan Luo, Chi-Wang Shu and Qiang Zhang on Aug. 23, 2013

13-06 Analysis of optimal superconvergence of local discontinuous Galerkin method for one-dimensional linear parabolic equations, by Yang Yang and Chi-Wang Shu on Aug. 14, 2013

13-07 Multi-scale discontinuous Galerkin method for solving elliptic problems with curvilinear unidirectional rough coefficients, by Y. Zhang, W. Wang, J. Guzman and C.-W Shu on July 23, 2013

13-08 Convergence of discontinuous Galerkin schemes for front propogation with obstacles, by Olivier Bokanowski, Yingda Cheng and Chi-Wang Shu on June 14, 2013

13-09 A simple weighted essentially non-oscillatory limiter for the correction procedure via reconstruction (CPR) framework, by Jie Du, Chi-Wang Shu and Mengping Zhang on June 14, 2013

13-10 Positivity-preserving Lagrangian scheme for multi-material compressible flow, by J. Cheng and C.-W. Shu on June 11, 2013

13-11 Stability analysis and a priori error estimate of explicit Runge-Kutta discontinuous Galerkin methods for correlated random walk with density-dependent turning rates, by Jianfang Lu, Chi-Wang Shu and Mengping Zhang on May 14, 2013

13-12 Optimal energy conserving local discontinuous Galerkin methods for second-order wave equation in heterogeneous media, by Ching-Shan Chou, Chi-Wang Shu and Yulong Xing on May 2, 2013

13-13 Discontinuous Galerkin method for fractional convection-diffusion equations, by Q. Wu and J.S. Hesthaven on April 22, 2013

13-14 Free-stream preserving finite difference schemes on curvilinear meshes, by Yan Jiang, Chi-Wang Shu and Mengping Zhang on April 15, 2013

13-15 Pyramid algorithms for Bernstein-Bezier finite elements of high, non-uniform order in any dimension, by M. Ainsworth on March 21, 2013

13-16 The interpolation of gravitational waveforms, by J. Kaye on March 11, 2013

13-17 On the adaptive selection of the parameter in stabilized finite element approximations, by M. Ainsworth, A. Allendes, G.R. Barrenechea, and R. Rankin on March 11, 2013

13-18 Dispersive behavior of high order finite element schemes for the one-way wave equation, by M. Ainsworth on Feb. 22, 2013

13-20 Conforming and divergence-free Stokes elements in three dimensions, by Johnny Guzman and Michael Neilan on Feb. 19, 2013

13-21 On the use of reduced basis methods to accelerate and stabilize the Parareal method, by F. Chen, J. S. Hesthaven and X. Zhu on Feb. 7, 2013

13-22 Multi-dimensional hybrid Fourier continuation-WENO solvers for conservation laws, by K. Shahbazi, J. S. Hesthaven, and X. Zhu on Jan. 13, 2013

13-23 On the consistency of the combinatorial codifferential, by D. N. Arnold, R. S. Falk, J. Guzman, G. Tsogtgerel on Jan. 9, 2013

13-24 Revisiting Jiang’s dynamic continuum model for urban cities, by J. Du, S.C. Wong, C.-W. Shu, T. Xiong, M. Zhang and K. Choi on Jan. 3, 2013

### 2012

12-01 Analysis and application of the nodal discontinuous Galerkin method for wave propagation in meta-materials, by J. Li and J.S Hesthaven, on Dec. 29, 2012

12-02 Stable Multi-domain Spectral Penalty Methods for Fractional Partial Differential Equation, by Q. Wu and J.S. Hesthaven, on Dec. 11, 2012

12-03 A new class of central compact schemes with spectral-like resolution I: Linear schemes, by X. Liu, S. Zhang, H. Zhang and C.-W. Shu, on Dec. 9, 2012

12-04 Discontinuous Galerkin method for Krause’s consensus models and pressureless Euler equations, by Y. Yang, D. Wei and C.-W. Shu, on Dec. 3, 2012

12-05 Discontinuous Galerkin methods for time dependent problems: Survey and recent developments, by C.-W. Shu on, Nov. 25, 2012

12-06 Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities, by Z. Chen and C.-W. Shu, on Nov. 18, 2012

12-07 High-order multiscale finite element method for elliptic problems, by J.S. Hesthaven, S. Zhang, and X. Zhu, on Nov. 6, 2012

12-08 Accurate reconstruction of discontinuous functions using the singular Chebyshev-Pade method, by A.L. Tampos, J.E.C.Lope, and J.S.Hesthaven, on Oct. 25, 2012

12-09 A Bernstein-Bezier basis for arbitrary order Raviart-Thomas finite elements, by M. Ainsworth, G. Andriamaro and O. Davydov on Oct. 3, 2012

12-10 Computable error bounds for finite element approximation on non-polygonal domains, by M. Ainsworth and R. Rankin, on Oct. 3, 2012

12-11 Error Analysis of Discontinuous Galerkin Methods for Stokes Problem under Minimal Regularity, by S. Badia, R. Codina, T. Gudi, and J. Guzman, on Oct. 2, 2012

12-12 Positivity-preserving flux limiters for high-order conservative schemes, by X.Y. Hu, N.A. Adams and C.-W. Shu, on Sept. 27, 2012

12-13 Multiscale modeling of sound propagation through the lung parenchyma, by P. Cazeaux and J.S. Hesthaven, on Sept. 27, 2012

12-14 Spurious Behavior of Shock-Capturing Methods: Problems Containing Stiff Source Terms and Discontinuities, by H.C. Yee, D. V. Kotov, W. Wang and C.-W. Shu, on Sept. 26, 2012

12-15 Convergence analysis of the lowest order weakly penalized adaptive discontinuous Galerkin methods, by T. Gudi and J. Guzman on Sept. 11, 2012

12-16 A homotopy method based on WENO schemes for solving steady state problems of hyperbolic conservation laws, by W. Hao, J.D. Hauenstein, C.-W. Shu, A. J. Sommese, Z. Xu, Y.-T. Zhang, on Sept. 5, 2012

12-17 An alternative formulation of finite difference WENO schemes with Lax-Wendroff time discretization for conservation laws, by Y. Jiang, C.-W. Shu and M. Zhang, on Sept. 2, 2012

12-18 Maximum-principle-satisfying second order discontinuous Galerkin schemes for convection-diffusion equations on triangular meshes, by Y. Zhang, X. Zhang and C.-W. Shu, on April 27, 2012

12-19 A Non-Oscillatory Discontinuous Galerkin Transport Scheme on the Cubed-Sphere, by Y. Zhang and R.-D. Nair, on April 20, 2012

12-20 Sparse Gradient Image Reconstruction from Incomplete Fourier Measurements and Prior Edge Information, by K. Chowdhary, J. S. Hesthaven, and E. G. Walsh, on April 14, 2012

12-21 Runge-Kutta discontinuous Galerkin method using a new type of WENO limiters on unstructured mesh, by J. Zhu, X. Zhong, C.-W. Shu and J. Qiu, on March 30, 2012

12-22 Symmetric and conforming mixed finite elements for plane elasticity using rational bubbles, by J. Guzman and M. Neilan, on March 14, 2012

12-23 A note on the LADYZENSKAJA-BABUSKA-BREZZI condition, by J. Guzman, A. Salgado and F.-J. Sayas, on March 8, 2012

12-24 High resolution WENO simulation of 3D detonation waves, by C. Wang, C.-W. Shu, W. Han and J. Ning, on Feb. 27, 2012

12-25 Angular distribution of Lyα resonant photons emergent from optically thick medium, by Y. Yang, I. Roy, C.-W. Shu and L.-Z. Fang, on Feb. 26, 2012

12-26 A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods, by X. Zhong and C.-W. Shu, on Feb. 12, 2012

12-27 Sound generation in the interaction of two isentropic vortices, by S. Zhang, H. Zhang and C.-W. Shu, on Feb. 2, 2012

12-28 Discontinuous Galerkin method for hyperbolic equations involving δ-functions, by Y. Yang and C.-W. Shu, on Jan. 11, 2012

### 2011

11-01 Superconvergence of discontinuous Galerkin method for scalar nonlinear conservation laws in one space dimension, by X. Meng, C.-W. Shu, Q. Zhang, and B. Wu on Dec. 4, 2011

11-02 Numerical simulations with a first order BSSN formulation of Einstein’s field equations, by J. D. Brown, P. Diener, S. E. Field, J. S. Hesthaven, F. Herrmann, A. H. Mroue, O. Sarbach, E. Schnetter, M. Tiglio and M. Wagman on Dec. 31, 2011

11-03 Efficient Absorbing Layers for Weakly Compressible Flows, by Z. Gao, J.S. Hesthaven, T. Warburton on Dec. 31, 2011

11-04 On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations, by J. S. Hesthaven, S. Zhang on Dec. 31, 2011

11-05 Superconvergence of discontinuous Galerkin method for linear hyperbolic equations in one space dimension, by Y. Yang and C.-W. Shu on Dec. 4, 2011

11-06 A priori error estimates for semi-discrete discontinuous Galerkin methods solving nonlinear Hamilton-Jacobi equations with smooth solutions, by T. Xiong, C.-W. Shu and M. Zhang on Nov. 29, 2011

11-07 Certified reduced basis method for electromagnetic scattering and radar cross section estimation, by Y. Chen, J. S. Hesthaven, Y. Maday, J. Rodrıguez and X. Zhu on Nov. 19, 2011

11-08 High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields, by Y. Xing and C.-W. Shu on Nov. 12, 2011

11-09 WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows, by T. Xiong, C.-W. Shu and M. Zhang on Nov. 12, 2011

11-10 Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for linear hyperbolic equation in one-dimension with discontinuous initial data, by Q. Zhang and C.-W. Shu on Nov. 3, 2011

11-11 Energy conserving local discontinuous Galerkin methods for wave propagation problems, by Y. Xing, C.-S. Chou and C.-W. Shu on Oct. 28, 2011

11-12 Efficient greedy algorithms for successive constraints methods with high-dimensional parameters, by S. Zhang on Oct. 4, 2011

11-13 Conforming and divergence free Stokes elements on general triangular meshes, by J. Guzman and M. Neilan on Oct. 3, 2011

11-14 Certified reduced basis methods for the electric field integral equation, by J.S. Hesthaven, B. Stamm and S. Zhang on Sept. 15, 2011

11-15 Inverse Lax-Wendroff procedure for numerical boundary conditions of hyperbolic equations: survey and new developments, by S. Tan and C.-W. Shu on Sept. 12, 2011

11-16 A minimum entropy principle of high order schemes for gas dynamics equations, by X. Zhang and C.-W. Shu on July 18, 2011

11-17 Positivity-preserving high order finite difference WENO schemes for compressible Euler equations, by X. Zhang and C.-W. Shu on July 15, 2011

11-18 Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws, by S. Tan, C. Wang, C.-W. Shu and J. Ning on July 15, 2011

11-19 Maximum-principle-satisfying high order finite volume WENO schemes for convection-diffusion equations, by X. Zhang, Y. Liu and C.-W. Shu on July 3, 2011

11-20 Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods, by J. S. Hesthaven, B. Stamm, and S. Zhang on June 22, 2011

11-21 High order finite difference methods with subcell resolution for advection equations with stiff source terms, by W. Wang, C.-W. Shu, H. C. Yee, and B. Sjogreen on June 16, 2011

11-22 High-Order Discontinuous Galerkin Methods by GPU Metaprogramming, by A. Kloeckner, T. Warburton and J. S. Hesthaven on June 12, 2011

11-23 Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations, by C. Wang, X. Zhang, C.-W. Shu and J. Ning on May 22, 2011

11-24 A family of non-conforming elements for the Brinkman Problem, by J. Guzman and M. Neilan on May 3, 2011

11-25 A family of non-conforming elements and the analysis of Nitsche’s method for a singularly perturbed fourth order problem, by J. Guzman, D. Leykekhman, M. Neilan on May 3, 2011

11-26 A reduced basis method for multiple electromagnetic scattering in three dimensions, by M. Ganesh, J.S. Hesthaven, B. Stamm on May 3, 2011

11-27 Effect of Dust on Lyman-alpha Photon Transfer in Optically Thick Halo, by Y. Yang, I. Roy, C.-W. Shu and L.-Z. Fang on April 30, 2011

11-28 Superconvergence of the local discontinuous Galerkin method for linear fourth order time dependent problems in one space dimension, by X. Meng, C.-W. Shu and B. Wu on April 2, 2011

11-29 High-order finite volume WENO schemes for the shallow water equations with dry states, by Y. Xing and C.-W. Shu on March 23, 2011

11-30 A conservative Lagrangian scheme for solving compressible fluid flows with multiple internal energy equations, by J. Cheng, C.-W. Shu and Q. Zeng on March 16, 2011

11-31 Maximum-principle-satisfying and positivity-preserving high order schemes for conservation laws: Survey and new developments, by X. Zhang and C.-W. Shu on March 9, 2011

11-32 Optimal error estimates of the semi-discrete local discontinuous Galerkin methods for high order wave equations, by Y. Xu and C.-W. Shu on Jan. 27, 2011

11-33 Reduced basis catalogs for gravitational wave templates, by S. E. Field, C. R. Galley, F. Herrmann, J. S. Hesthaven, E. Ochsner, and M. Tiglio on Jan. 19, 2011

11-34 Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system, by J.-M. Qiu and C.-W. Shu on Jan. 7, 2011

### 2010

10-01 Numerical resolution of discontinuous Galerkin methods for time dependent wave equations by X. Zhong and C.-W. Shu on Dec. 9, 2010

10-02 A high order moving boundary treatment for compressible inviscid flows by S. Tan and C.-W. Shu on Dec. 9, 2010

10-03 A method for simulation of underwater acoustic wavefront propagation by S. L. Martinelli on Dec. 3, 2010

10-04 A Discontinuous Galerkin Scheme for Front Propagation with Obstacles by O. Bokanowski, Y. Cheng, and C.-W. Shu on Nov. 20, 2010

10-05 A Macroscopic Approach to the Lane Formation Phenomenon in Pedestrian Counter Flow by T. Xiong, P. Zhang, S.C. Wong, C.-W. Shu, M. Zhang on Oct. 23, 2010

10-06 Multi-Domain Fourier-Continuation/WENO Hybrid Solver for Conservation Laws by K. Shahbazi, N. Albin, O.P. Bruno, and J.S. Hesthaven on Oct. 17, 2010

10-07 High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model by R. Zhang, M. Zhang and C.-W. Shu on Oct. 8, 2010

10-08 Improvement of convergence to steady state solutions of Euler equations with weighted compact nonlinear schemes by S. Zhang, X. Deng, M. Mao and C.-W. Shu on Sept. 29, 2010

10-09 A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations by Y. Cheng, I.M. Gamba, A. Majorana, and C.-W. Shu on Sept. 14, 2010

10-10 Point-wise Hierarchical Reconstruction for Discontinuous Galerkin and Finite Volume Methods for Solving Conservation Laws by Z. Xu, Y. Liu, H. Du, G. Lin and C.-W. Shu on Sept. 7, 2010

10-11 Discontinuous Galerkin methods for the Multi-dimensional Vlasov-Poisson problem by B. Ayuso de Dios, J. A. Carrillo, C.-W. Shu on Sept. 6, 2010

10-12 Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms by X. Zhang and C.-W. Shu on Aug. 30, 2010

10-13 Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators by S.E. Field, J.S. Hesthaven, S.R. Lau, and A.H. Mroue on Aug. 11, 2010

10-14 Improvement of convergence to steady state solutions of Euler equations with the WENO schemes by S. Zhang, S. Jiang and C.-W. Shu on July 21, 2010

10-15 Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method by A. Klöckner, T. Warburton and J. S. Hesthaven on July 21, 2010

10-16 Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra by J. Guzman and D. Leykekhman on July 19, 2010

10-17 Symmetric non-conforming mixed finite elements for linear elasticity by J. Gopalakrishnan and J. Guzman on July 19, 2010

10-18 Improvement on spherical symmetry in two-dimensional cylindrical coordinates for a class of control volume Lagrangian schemes by J. Cheng and C.-W. Shu on July 3, 2010

10-19 Bubble stabilized discontinuous Galerkin method on conforming and non-conforming meshes by E. Burman and B. Stamm on June 25, 2010

10-20 Discontinuous Galerkin Method for Fractional Diffusion Equations by W. Deng and J.S. Hesthaven on May 27, 2010

10-21 Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes

by X. Zhang, Y. Xia and C.-W. Shu on May 14, 2010

10-22 On ANOVA expansions and strategies for choosing the anchor point

by Z. Gao and J. S. Hesthaven on April 29, 2010

10-23 Local discontinuous Galerkin methods for the Degasperis-Procesi equation by Y. Xu and C.-W. Shu on April 29, 2010

10-24 The reduced basis method for the electric field integral equation

by B. Fares, J.S. Hesthaven, Y. Maday, and B. Stamm on April 21, 2010

10-25 A high order adaptive finite element method for solving nonlinear hyperbolic conservation laws by Z. Xu, J. Xu, and C.-W. Shu on April 21, 2010

10-26 Inverse Lax-Wendroff Procedure for Numerical Boundary Conditions of Conservation Laws by S. Tan and C.-W. Shu on April 7, 2010

10-27 High order finite difference WENO schemes for nonlinear degenerate parabolic equations by Y. Liu, C.-W. Shu and M. Zhang on April 7, 2010

10-28 High-porosity channels for melt migration in the mantle: Top is the dunite and bottom is the harzburgite by Y. Liang, A. Schiemenz, M. A. Hesse, E. M. Parmentier, and J. S. Hesthaven on March 24, 2010

10-29 Positivity preserving high order well balanced discontinuous Galerkin methods for the shallow water equations by Y. Xing, X. Zhang and C.-W. Shu on March 15, 2010

10-30 On positivity preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes by X. Zhang and C.-W. Shu on March 4, 2010

10-31 Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation by J.-M. Qiu and C.-W. Shu on Feb. 18, 2010

10-32 A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry by J. Cheng and C.-W. Shu on Feb. 9, 2010

10-33 On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations by Y. Xing, C.-W. Shu and S. Noelle on Feb. 5, 2010

10-34 Resonant scattering and Lyα radiation emergent from neutral Hydrogen halos by I. Roy, C.-W. Shu, and L.-Z. Fang on Jan. 31, 2010

10-35 Modeling magma dynamics with a mixed Fourier collocation – discontinuous Galerkin method by A.R. Schiemenz, M.A. Hesse, and J.S. Hesthaven on Jan. 30, 2010

10-36 Efficient solution of ordinary differential equations with high-dimensional parametrized uncertainty by Z. Gao and J. S. Hesthaven on Jan. 18, 2010

10-37 Persistent junk solutions in time-domain modeling of extreme mass ratio binaries by S. E. Field, J. S. Hesthaven, and S. R. Lau on Jan. 14, 2010

10-38 Error Analysis of the Semi-discrete Local Discontinuous Galerkin Method for Semiconductor Device Simulation Models by Y. Liu and C.-W. Shu on Jan. 5, 2010

### 2009

09-01 An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method by C. Wang and C.-W. Shu on Dec. 31, 2009

09-02 Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty by M. Liu, Z. Gao, and J.S. Hesthaven on Dec. 29, 2009

09-03 A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows by W. Liu, L. Yuan, and C.-W. Shu on Dec. 21, 2009

09-04 Central Local Discontinuous Galerkin Methods on Overlapping Cells for Diffusion Equations by Y. Liu, C.-W. Shu, E. Tadmor and M. Zhang on Dec. 20, 2009

09-05 A new family of mixed methods for the Reissner-Mindlin plate model based on a system of first-order equations by E.M. Behrens and J. Guzman on Dec. 18, 2009

09-06 Construction of Low Dissipative High-Order Well-Balanced Filter Schemes for Non-Equilibrium Flows by W. Wang, H.C. Yee, B. Sjogreen, T. Magin, and C.-W. Shu on Dec. 7, 2009

09-07 Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow by J.-M. Qiu and C.-W. Shu on Nov. 30, 2009

09-08 On the order of accuracy and numerical performance of two classes of finite volume WENO schemes by R. Zhang, M. Zhang, and C.-W. Shu on Nov. 29, 2009

09-09 Discontinuous Galerkin Methods for the One-Dimensional Vlasov-Poisson System by B. Ayuso, J.A. Carillo, and C.-W. Shu on Nov. 27, 2009

09-10 PyCUDA: GPU Run-Time Code Generation for High-Performance Computing by A. Kloeckner, N. Pinto, Y. Lee, B. Catanzaro, P. Ivanov, and A. Fasih on Nov. 18, 2009

09-11 Deterministic numerical schemes for the Boltzmann equation by A. Narayan and A. Kloeckner on Nov. 18, 2009

09-12 The multiscale discontinuous Galerkin method for solving a class of second order elliptic problems with rough coefficients by W. Wang, J. Guzman, and C.-W. Shu on Oct. 29, 2009

09-13 A mixed method for the biharmonic problem based on a system of first-order equations by E.M. Behrens and J. Guzman on Oct. 27, 2009

09-14 On maximum-principle-satisfying high order schemes for scalar conservation laws by X. Zhang and C.-W. Shu on Oct. 27, 2009

09-15 A seamless reduced basis element method for 2D Maxwell’s Problem: An Introduction by Y. Chen, J.S. Hesthaven, and Y. Maday on Oct. 19, 2009

09-16 Development and application of a multirate multistep AB method to a discontinuous Galerkin method based particle-in-cell scheme by A. Stock on Oct. 15, 2009

09-17 A generalization of the Wiener rational basis functions on infinite intervals. Part II – Numerical Investigations by A.C. Narayan and J.S. Hesthaven on Oct. 15, 2009

09-18 Efficient numerical treatment of the compressible Navier-Stokes equations with nodal discontinuous Galerkin methods on graphics processors by H. Riedmann on Oct. 13, 2009

09-19 A discontinuous Galerkin solver for front propagation by O. Bokanowski, Y. Cheng, and C.-W. Shu on Sept. 23, 2009

09-20 A unified analysis of several mixed methods for elasticity with weak stress symmetry by J. Guzman on Sept. 17, 2009

09-21 A second elasticity element using the matrix bubble by J. Gopalakrishnan and J. Guzman on Sept. 17, 2009

09-22 Stability analysis and a priori error estimates to the third order explicit Runge-Kutta discontinuous Galerkin Method for scalar conservation laws by Q. Zhang and C.-W. Shu on Sept. 16, 2009

09-23 Uniformly accurate discontinuous Galerkin fast sweeping methods for Eikonal equations by Y.-T. Zhang, S. Chen, F. Li, H. Zhao, and C.-W. Shu on Sept. 6, 2009

09-24 High order computational scheme for a dynamic continuum model for bi-directional flow by T. Xiong, M. Zhang, C.-W. Shu, S.C. Wong, and P. Zhang on Aug. 24, 2009

09-25 Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws by Y. Liu, C.-W. Shu and Z. Xu on Aug. 1, 2009

09-26 genuinely high order total variation diminishing scheme for one-dimensional scalar conservation laws by X. Zhang and C.-W. Shu on July 9, 2009

09-27 A natural norm successive constraint method for inf-sub lower bounds by D.B.P. Huynh, D.J. Knezevic, Y. Chen, J.S. Hesthaven and A.T. Patera on June 5, 2009

09-28 A generalization of the Wiener rational basis functions on infinite intervals. Part I – Derivation and properties by A.C. Narayan and J.S. Hesthaven on May 28, 2009

09-29 High Order Conservative Lagrangian Schemes with Lax-Wendroﬀ Type Time Discretization for the Compressible Euler Equations by W. Liu, J. Cheng and C.-W. Shu on May 21, 2009

09-30 Fifth order fast sweeping WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment by T. Xiong, M. Zhang, Y.-T. Zhangand C.-W. Shu on May 8, 2009

09-31 Dynamic continuum pedestrian flow model with memory effect by Y. Xia, S.C. Wong, and C.-W. Shu on April 30, 2009

09-32 Wouthuysen-Field Coupling in 21 cm Region Around High Redshift Sources by I. Roy, W. Xu, J.-M. Qiu, C.-W. Shu, and L.-Z. Fang on April 28, 2009

09-33 A posteriori estimates for the bubble stabilized discontinuous Galerkin method by B Stamm on March 26, 2009

09-34 Bubble stabilized discontinuous Galerkin method for Stokes’ problem by E. Burman and B. Stamm on March 18, 2009

09-35 On the positivity of linear weights in WENO approximations by Y. Liu, C.-W. Shu and M. Zhang on March 15, 2009

09-36 Certified reduced basis methods and output bounds for the harmonic Maxwell’s equations by Y. Chen, J.S. Hesthaven, Y. Maday, and J. Rodriguez on March 12, 2009

09-37 High-order accurate thin layer approximations for time-domain electromagnetics. Part II: Transmission layers by S. Chun, H. Haddar, and J.S. Hesthaven on March 12, 2009

09-38 Optimal convergence of the original DG method in special meshes for variable velocity by B. Cockburn, B. Dong, J. Guzmán and J. Qian on March 2, 2009

09-39 Local energy estimates for the finite element method on sharply varying grids by A. Demlow, J. Guzmán, and A.H. Schatz on March 2, 2009

09-40 Dissipative numerical methods for the Hunter-Saxton equation by Y. Xu and C.-W. Shu on Feb. 25, 2009

09-41 Topological structure of shock induced vortex breakdown by S. Zhang, H. Zhang, and C.-W. Shu on Feb. 18, 2009

09-42 High-order well-balanced schemes and applications to non-equilibrium flow with stiff source terms by W. Wang, C.-W. Shu, H.C. Yee, and B. Sjogreen on Feb. 15, 2009

09-43 Local discontinuous Galerkin methods for the generalized Zhakarov system by Y. Xia, Y. Xu, and C.-W. Shu on Feb. 11, 2009

09-44 Discontinuous Galerkin method for computing gravitational waveforms for extreme mass ratio binaries by S.E. Field, J.S. Hesthaven, and S.R. Lau on Feb. 8, 2009

09-45 High-order schemes for CFD: A review by J. Cheng and C.-W. Shu on Feb. 6, 2009

09-46 Local discontinuous Galerkin methods for high-order time-dependent partial differential equations by Y. Xu and C.-W. Shu on Feb. 1, 2009

09-47 Superconvergence of discontinuous Galerkin and local discontinuous Galerkin schemes for linear hyperbolic and convection diffusion equations in one space dimension by Y. Cheng and C.-W. Shu on Jan. 27, 2009

### 2008

08-01 A discontinuous Galerkin solver for Boltzmann Poisson systems in nano devices by Y. Cheng, I.M. Gamba, A. Majorana, and C.-W. Shu on Dec. 26, 2008

08-02 Nodal Discontinuous Galerkin Methods on Graphics Processors by A. Kloeckner, T. Warburton, J. Bridge, and J.S. Hesthaven on Dec. 18, 2008

08-03 Hierarchical reconstruction for spectral volume method on unstructured grids by Z. Xu, Y. Liu, and C.-W. Shu on Dec. 4, 2008

08-04 Time evolution of Wouthuysen-Field coupling by I. Roy, W. Xu, J.-M. Qiu , C.-W. Shu, and L.-Z. Fang on Jan. 1, 2008

08-05 Fourier analysis for discontinuous Galerkin and related methods by M. Zhang and C.-W. Shu on Jan. 1, 2008

08-06 The application of the Fast Fourier Transform to Jacobi polynomial expansions by A. C. Narayan and J.S. Hesthaven on Oct. 1, 2008

08-07 High-order well-balanced schemes by S. Noelle, Y. Xing, and C.-W. Shu on Jan. 1, 2008

08-08 Analysis of a local discontinuous Galerkin method for fourth-order time-dependent problems by B. Dong and C.-W. Shu on Jan. 1, 2008

08-09 A Fast Stroud-based Collocation Method for Statistically Characterizing EMI/EMC Phenomena on Complex Platforms by A.C. Yucel, H. Bagci, J.S. Hesthaven, and E. Michielssen on Jan. 1, 2008

08-10 A WENO algorithm for radiative transfer with resonant scattering: the time scale of the Wouthuysen-Field Coupling by I Roy, J.-M. Qiu, C.-W. Shu, and L.-Z. Fang on Jan. 1, 2008

08-11 Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning by G.B. Jacobs and J.S. Hesthaven on Jan. 1, 2008

08-12 IMEX evolution of scalar fields on curved backgrounds by S.R. Lau, H.P. Pfeiffer, and J.S. Hesthaven on Jan. 1, 2008

08-13 Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell’s problem by Y. Chen, J.S. Hesthaven, Y. Maday, and J. Rodriguez on Jan. 1, 2008

08-14 Local discontinuous Galerkin method for surface diﬀusion and Willmore ﬂow of graphs by Y. Xu and C.-W. Shu on Jan. 1, 2008

08-15 Revisiting and extending interface penalties for multi-domain summation-by-parts operators by M.H. Carpenter, J. Nordstrom, and D. Gottlieb on Jan. 1, 2008

08-16 Galerkin method for wave equations with uncertain coefficients by D Gottlieb and D Xiu on Jan. 1, 2008

08-17 Modiﬁed Optimal Prediction and its Application to a Particle-Method Problem by A Chertock, D Gottlieb and A Solonomoff on Jan. 1, 2008

08-18 High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings by S. Chun and J. S. Hesthaven on Jan. 1, 2008

08-19 Superconvergence of Local Discontinuous Galerkin Methods for Convection-Diﬀusion Equations by Y. Cheng and C.-W. Shu on Jan. 1, 2008

08-20 High Order Strong Stability Preserving Time Discretizations by S. Gottlieb, D.I. Ketcheson, and C.-W. Shu on Jan. 1, 2008

08-21 Discontinuous Galerkin Methods: General Approach and Stability by C.-W. Shu on Jan. 1, 2008

08-22 Numerical Boundary Conditions for the Fast Sweeping High-Order WENO Methods for Solving the Eikonal Equation by L. Huang, C.-W. Shu and M. Zhang on Jan. 1, 2008

08-23 The WKB local discontinuous Galerkin method for the simulation of Schrodinger equation in a resonant tunneling diode by W. Wang and C.-W. Shu on Jan. 1, 2008

08-24 A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations by J. Cheng and C.-W. Shu on Jan. 1, 2008

08-25 Polymorphic Nodal Elements and their Application in Discontinuous Galerkin Methods by G.J. Gassner, F. Lörcher, C.-D. Munz and J.S. Hesthaven on Jan. 1, 2008

08-26 Local discontinuous Galerkin method for the Hunter-Saxton equation and its zero-viscosity and zero-dispersion limit by Y. Xu and C.-W. Shu on Jan. 1, 2008

08-27 Front tracking algorithm for the Lighthill-Whitham-Richards traffic flow model with a piecewise quadratic, continuous, non-smooth, and non-concave fundamental diagram by W. Chen, S.C. Wong, C.-W. Shu and P. Zhang on Jan. 1, 2008

08-28 Hierarchial Reconstruction for Discontinuous Galerkin Methods on Unstructured Grids with a WENO Type Linear Reconstruction by Z. Xu, Y. Liu, and C.-W. Shu on Jan. 11, 2008

### 2007

07-01 Development of Nonlinear Weighted Compact Schemes with Increasingly Higher Order Accuracy by S Zhang, S Jiang and C-W Shu on Jan. 1, 2007

07-02 Superconvergence and Time Evolution of Discontinuous Galerkin Finite Element Solutions by Y. Cheng and C.-W. Shu on Jan. 1, 2007

07-03 On Partial Spherical Means Formulas and Radiation Boundary Conditions for the 3+1 Wave Equation by S Lau on Jan. 1, 2007

07-04 Runge−Kutta discontinuous Galerkin method using WENO limiters II: unstructured meshes by J. Zhu, J. Qiu, C.-W. Shu, and M. Dumbser on Jan. 1, 2007

07-05 An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model by Y. Xia, S.C. Wong, M. Zhang, C.-W. Shu, and W. H.K. Lam on Jan. 1, 2007

07-06 Development of Residual Distribution Schemes for Discontinuous Galerkin Method: The Scalar Case with Linear Elements by R Abgrall and C.-W. Shu on Jan. 1, 2007

07-07 Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hillard System by Y. Xia, Y. Xu, and C.-W. Shu on Jan. 1, 2007

07-08 Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes by Y.-T. Zhang and C.-W. Shu on Jan. 1, 2007

07-09 A Second Order Discontinuous Galerkin Fast Sweeping Method for Eikonal Equations by F.Li, C.-W. Shu, Y.-T. Zhang and H. Zhao on Jan. 1, 2007

07-10 A High-Order ENO Conservative Lagrangian Scheme for the Compressible Euler Equations by J. Cheng and C.-W. Shu on Jan. 1, 2007

07-11 Radiation Boundary Conditions for Maxwell’s Equations: A Review of Accurate Time-Domain Formulations by T Hagstrom and S Lau on Jan. 1, 2007

07-12 Strong Stability Preserving Property of the Deferred Correction Time Discretization by Y. Liu, C.-W. Shu, and M. Zhang on Jan. 1, 2007

07-13 The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship by Y. Lu, S.C. Wong, M. Zhang, and C.-W. Shu on Jan. 1, 2007

07-14 A High Order WENO Scheme for a Hierarchical Size-Structured Model by J. Shen, C.-W. Shu and M. Zhang on Jan. 1, 2007

07-15 L2 Stability Analysis of the Central Discontinuous Galerkin Method and a Comparison between the Central and Regular Discontinuous Galerkin Methods by Y. Liu, C.-W. Shu, E. Tadmor, and M. Zhang on Jan. 1, 2007

07-16 Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Schemes and Discontinuous Galerkin Methods for Nonconvex Conservation Laws by J.-M. Qiu and C.-W. Shu on Jan. 1, 2007

07-17 Discontinuous Galerkin Method for a Class of Elliptic Multi-Scale Problems by L. Yuan and C.-W. Shu on Jan. 1, 2007

07-18 Local Discontinuous Galerkin Methods for the Cahn-Hilliard Type Equations by Y. Xia, Y. Xu, and C.-W. Shu on Jan. 1, 2007

07-19 A Local Discontinuous Galerkin Method for the Camassa-Holm Equation by Y. Xu and C.-W. Shu on Jan. 1, 2007

07-20 Post-Processing for the Discontinuous Galerkin Method over Non-Uniform Meshes by S. Curtis, R.M Kirby, J.K. Ryan, C.-W. Shu on Jan. 1, 2007

07-21 Multidomain Spectral Method for the Helically Reduced Wave Equation by S. R. Lau and R.H. Price on Jan. 1, 2007

### 2006

06-01 High Order Weighted Essentially Non-Oscillatory Schemes for Convection Dominated Problems by C.-W. Shu on Jan. 1, 2006

06-02 High Order Well-Balanced Finite Volume WENO Schemes for Shallow Water Equation with Moving Water by S. Noelle, Y. Xing, and C.-W. Shu on Jan. 1, 2006

06-03 Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes by Y. Liu, C.-W. Shu, E. Tadmor, and M. Zhang on Jan. 1, 2006

06-04 A Discontinuous Galerkin Finite Element Method for Time Dependent Partial Differential Equations with Higher Order Derivatives by Y. Cheng and C.-W. Shu on Jan. 1, 2006

06-05 Efficient Time-Discretization for Local Discontinuous Galerkin Methods by Y. Xia, Y. Xu, and C.-W. Shu on Jan. 1, 2006

06-06 Central Discontinuous Galerkin Methods on Overlapping Cells With a Non-Oscillatory Hierarchical Reconstruction by Y. Liu, C.-W. Shu, E. Tadmor, and M. Zhang on Jan. 1, 2006

06-07 Pade-Gegenbauer Suppression of Runge Phenomenon in the Diagonal Limit of Gegenbauer Approximations by L. Lurati on Jan. 1, 2006

06-08 An Improved Weighted Essentially Non-Oscillatory Scheme for Hyperbolic Conservation Laws by R. Borges, B. Costa, and W.S. Don on Jan. 1, 2006

06-09 A Reactive Dynamic User Equilibrium Model for Pedestrian Flows: A Continuum Modeling Approach by L. Huang, S.C. Wong, M. Zhang, C.-W. Shu, and W.H.K. Lam on Jan. 1, 2006

06-10 21 cm Emisson from Ionized Clouds of UV Sources by L.-L. Feng, J.-M. Qiu, C.-W. Shu, and L.-Z. Fang on Jan. 1, 2006

06-11 Explicit Construction of Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Non-Smooth Flow-Density Relationship by Y. Li, S.C. Wong, M. Zhang, C.-W. Shu, and W. Chen on Jan. 1, 2006

06-12 High Order Residual Distribution Conservative Finite Difference WENO Schemes for Convection-Diffusion Steady State Problems on Non-smooth Meshes by C.-S. Chou and C.-W. Shu on Jan. 1, 2006

06-13 A Discontinuous Galerkin Finite Element Method for Directly Solving the Hamilton-Jacobi Equations by Y. Cheng and C.-W. Shu on Jan. 1, 2006

06-14 Interaction of a Shock Wave with an Oblique Vortex Pair: Shock Dynamics and Mechanism of Sound Generation by S. Zhang, Y.-T. Zhang, and C.-W. Shu on Jan. 1, 2006

06-15 Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Multi-Domain Hybrid Spectral-WENO Methods for Hyperbolic Conservation Laws by B. Costa and W.S. Don on Jan. 1, 2006

06-16 Anti-Diffusive Finite Difference WENO Methods for Shallow Water with Transport of Pollutant by Z. Xu and C.-W. Shu on Jan. 1, 2006

06-17 Two-Dimensional Multi-Domain Hybrid Spectral-WENO Methods for Conservation Laws by B. Costa, W.S. Don, D. Gottlieb, and R. Sendersky on Jan. 1, 2006

06-18 A WENO Algorithm for the Radiative Transfer and Ionized Sphere at Reionization by J. Qiu, C.-W. Shu, L.-L. Feng, and L.-Z. Fang on Jan. 1, 2006

### 2005

05-01 Long-Term Behavior of Polynomial Chaos in Stochastic Flow Simulations by X. Wan and G.E. Karniadakis on Jan. 1, 2005

05-02 Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method for Nonlinear Convection-Diffusion and KdV Equations by Y. Xu and C.-W. Shu on Jan. 1, 2005

05-03 A High Order Accurate Conservative Remapping Method on Staggered Meshes by J. Cheng and C.-W. Shu on Jan. 1, 2005

05-04 Discontinuous Galerkin Method Based on Non-Polynomial Approximation by L. Yuan and C.-W. Shu on Jan. 1, 2005

05-05 A Local-Structure Preserving Local Discontinuous Galerkin Method for the Laplace Equation by F. Li and C.-W. Shu on Jan. 1, 2005

05-06 Local Discontinuous Galerkin Methods for Moment Models in Device Simulations: Performance Assessment and Two-Dimensional Results by Y. Liu and C.-W. Shu on Jan. 1, 2005

05-07 A Domain Decomposition Method for Kinetic-Hydrodynamic Multiscale Problems in Gas Dynamics and Device Simulations Using the Discontinuous Galerkin Methods by S. Chen, W.E., Y. Liu, and C.-W. Shu on Jan. 1, 2005

05-08 High Resolution Schemes for a Hierarchical Size-Structured Model by J. Shen, C.-W. Shu, and M. Zhang on Jan. 1, 2005

05-09 Reduced Navier-Stokes Equations Near a Flow Boundary by M.S. Kilic, G.B. Jacobs, J.S. Hesthaven, and G. Haller on Jan. 1, 2005

05-10 A New Approach of High Order Well-Balanced Finite Volume WENO Schemes and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms by Y. Xing and C.-W. Shu on Jan. 1, 2005

05-11 High Order Residual Distribution Conservative Finite Difference WENO Schemes for Steady State Problems on Non-Smooth Meshes by C.-C. Chou, and C.-W. Shu on Jan. 1, 2005

05-12 Low-Redshift Cosmic Baryon Fluid on Large Scales: A Fully Developed Turbulence by P. He, L.-L. Feng, C.-W. Shu, and L.-Z. Fang on Jan. 1, 2005

05-13 Demonstrating Shock Mitigation and Drag Reduced by Pulsed Energy Linesby K. Kremeyer, K. Sebastian, and C.-W. Shu on Jan. 1, 2005

05-14 Effects of Shock Waves on Rayleigh-Taylor Instabilities by Y.-T. Zhang, C.-W. Shu, and Y. Zhou on Jan. 1, 2005

05-15 2D Semiconductor Device Simulations by WENO-Boltzmann Schemes: Efficiency, Boundary Conditions, and Comparison to Monte Carlo Methods by J.A. Carillo, I.M. Gamba, A. Majorana, and C.-W. Shu on Jan. 1, 2005

05-16 A Weighted Essentially Non-Oscillatory Numerical Scheme for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway by S. Abarbanel, D. Gottlieb, and J.S. Hesthaven on Jan. 1, 2005

05-17 Gappy Data: To Krig or Not To Krig by H. Gunes, S. Sirisup, and G.E. Karniadakis on Jan. 1, 2005

05-18 A Numerical Study of the Performance of the Runge-Kutta Discontinuous Galerkin Method Based on Different Numerical Fluxes by J. Qiu, B.C. Khoo, and C.-W. Shu on Jan. 1, 2005

05-19 Anti-Diffusive High-Order WENO Schemes for Hamilton-Jacobi Equations by Z. Xu and C.-W. Shu on Jan. 1, 2005

05-20 The Next Step in Coastal Numerical Models: Spectral/hp Element Methods by C. Eskilsson, A.P. Engsig-Karup, S.J. Sherwin, J.S. Hesthaven, and L. Bergdahl on Jan. 1, 2005

05-21 Non-Linear PML Equations for Time-Dependent Electromagnetics in Three Dimensions by S. Abarbanel, D. Gottlieb, and J.S. Hesthaven on Jan. 1, 2005

05-22 Time-Consistent Filtering in Spectral and Spectral Element Methods by A. Kanevksy, M.H. Carpenter, and J.S. Hesthaven on Jan. 1, 2005

05-23 Pade-Jacobi Approximants by J.S. Hesthaven and S.M. Kaber on Jan. 1, 2005

05-24 Pade-Legendre Interpolants for Gibbs Reconstruction by J.S. Hesthaven, S.M. Kaber, and L. Lurati on Jan. 1, 2005

05-25 A Survey of Parallel Mesh Generation Methods by N. Chrisochoides on Jan. 1, 2005

05-26 High-Order Well-balanced Finite Volume WENO and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms by Y. Xing and C.-W. Shu on Jan. 1, 2005

05-27 An Adaptive Multi-Element Generalized Polynomial Chaos Method for Stochastic Differential Equations by X. Wan and G.E. Karniadakis on Jan. 1, 2005

05-28 A Discontinuous Galerkin Method for Two-Temperature Plasmas by G. Lin and G.E. Karniadakis on Jan. 1, 2005

05-29 Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation by X. Wan, D. Xiu, and G.E. Karniadakis on Jan. 1, 2005

05-30 Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillations by D. Lucor and G.E. Karniadakis on Jan. 1, 2005

05-31 The Interaction of a Shock and a Strong Vortex: Shock and Vortex Deformation and Vorticity and Sound Generation by S. Zhang, Y.-T. Zhang, and C.-W. Shu on Jan. 1, 2005

05-32 A New Method to Impose No-Slip Boundary Conditions in Dissipative Particle Dynamics by I.V. Pivkin and G.E. Karniadakis on Jan. 1, 2005

05-33 Equation-free/Galerkin-free POD-Assisted Computation of Incompressible Flows by S. Sirisup, D. Xiu, G.E. Karniadakis, and I.G. Kevrekidis on Jan. 1, 2005

### 2004

04-01 Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Symmetrizable Systems of Conservation Laws by Q. Zhang and C.-W. Shu on Jan. 1, 2004

04-02 High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems With Source Terms by Y. Xing and C.-W. Shu on Jan. 1, 2004

04-03 Anti-Diffusive Flux Correction for High-Order Finite Difference WENO Schemes by Z. Xu and C.-W. Shu on Jan. 1, 2004

04-04 Local Discontinuous Galerkin Methods for Two Classes of Two-Dimensional Nonlinear Wave Equations by Y. Xu and C.-W. Shu on Jan. 1, 2004

04-05 The Stochastic Piston Problem by G. Lin, C.-H. Su, and G.E. Karniadakis on Jan. 1, 2004

04-06 Hermite WENO Schemes For Hamilton-Jacobi Equations by J. Qiu and C.-W. Shu on Jan. 1, 2004

04-07 A Comparison of Troubled Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using WENO Limiters by J. Qiu and C.-W. Shu on Jan. 1, 2004

04-08 Analysis of Preconditioning and Relaxation Operators for the Discontinuous Galerkin Method Applied to Diffusion by H. Atkins and C.-W. Shu on Jan. 1, 2004

04-09 The Heterogeneous Multi-Scale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems by S. Chen, W.E., and C.-W. Shu on Jan. 1, 2004

04-10 High Order Finite Difference WENO Schemes with the Exact Conservation Property for the Shallow Water Equations by Y. Xing and C.-W. Shu on Jan. 1, 2004

04-11 ocal Discontinuous Galerkin Methods for Nonlinear Shroedinger Equations by Y. Xu and C.-W. Shu on Jan. 1, 2004

04-12 Central WENO Schemes for Hamilton-Jacobi Equations on Triangular M Local Discontinuous Galerkin Methods for the Kuramoto-Sivashinsky Equations and the Ito-type Coupled KdV Equations by Y. Xu and C.-W. Shu on Jan. 1, 2004

04-13 Analytical Theory of Grating Couplers for Waveguilde Sensing: A Perturbation Approach and its Limitations by R. Horvath, L.C. Wilcox, H.C. Pedersen, N. Skivesen, J.S. Hesthaven, and P.M. Johansen on Jan. 1, 2004

04-14 A Hybrid Cosmological Hydrodynamic/N-Body Code Based on a Weighted Essentially Non-Oscillatory Scheme by L.-L. Feng, C.-W. Shu, and M. Zhang on Jan. 1, 2004

04-15 Discontinuous Galerkin Methods for the Time-Domain Maxwell’s Equations: An Introduction by J.S. Hesthaven and T. Warburton on Jan. 1, 2004

04-16 Approximation of Hyperbolic Models for Chemosensitive Movements by F. Filbet and C.-W. Shu on Jan. 1, 2004

04-17 Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations by Y. Xu and C.-W. Shu on Jan. 1, 2004

04-18 The Discontinuous Galerkin Method with Lax-Wendroff Type Time Discretizations by J. Qiu, M. Dumbser, and C.-W. Shu on Jan. 1, 2004

### 2003

03-01 Filtering in Legendre Spectral Methods by J.S. Hesthaven and R.M. Kirby on Jan. 1, 2003

03-02 Uncertainly Analysis For Steady-State Inviscid Burgers’ Equationby Q.Y. Chen, D. Gottlieb, and J.S. Hesthaven on Jan. 1, 2003

03-03 Spectral Methods for Compressible Reactive Flows by D. Gottlieb and S. Gottlieb on Jan. 1, 2003

03-04 Hermite WENO Schemes and Their Application As Limiters For Runge-Kutta Discontinuous Galerkin Method II: Two Dimensional Case by J. Qiu and C.-W. Shu on Jan. 1, 2003

03-05 Reinterpretation and Simplified Implementation of a Discontinuous Galerkin Method for Hamilton-Jacobi Equations by F. Li and C.-W. Shu on Jan. 1, 2003

03-06 A Spectral Multidomain Penalty Method Model For the Simulation of High Reynolds Number Localized Incompressible Stratified Turbulence by P.J. Diasmessis, J.A. Domaradzki, and J.S. Hesthaven on Jan. 1, 2003

03-07 On the Computation of High-Order Pseudospectral Derivatives by B. Costa and W.S. Don on Jan. 1, 2003

03-08 Spectral Convergence of Mapped Chebyshev Methods by B. Costa, W.S. Don, and A. Simas on Jan. 1, 2003

03-09 Numerical Simulations of High Mach Number Astrophysical Jets With Radiative Cooling by Y. Ha, C.L. Gardner, A. Gelb, and C.-W. Shu on Jan. 1, 2003

03-10 Local Divergence-Free Discontinuous Galerkin Methods for MHD Equations by F. Li and C.-W. Shu on Jan. 1, 2003

03-11 Local Discontinuous Galerkin Methods for Nonlinear Dispersive Equations by D. Levy, C.-W. Shu, and J. Yan on Jan. 1, 2003

03-12 Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs by Q.Y. Chen, D. Gottlieb, and J.S. Hesthaven on Jan. 1, 2003

03-13 Simulation of Complex Viscoelastic Flows Using Fokker-Planck Equation: 3D FENE Model by C. Chauviere and A. Lozinski on Jan. 1, 2003

03-14 Locally Divergence-Free Galerkin Methods for the Maxwell Equations by B. Cockburn, F. Li, and C.-W. Shu on Jan. 1, 2003

03-15 Fourier-Pade Approximations and Filtering for the Spectral Simulations of Incompressible Boussinesq Convection Problem by M.S. Min, S.M Kaber, and W.S. Don on Jan. 1, 2003

03-16 Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method: One Dimensional Case by J. Qiu and C.-W. Shu on Jan. 1, 2003

03-17 Fast and Accurate Boundary Variation Method for Multi-Layered Diffractive Optics by L.C. Wilcox, P.G. Dinesen, and J.S. Hesthaven on Jan. 1, 2003

03-18 High Order Nodal Discontinuous Galerkin Methods for the Maxwell Eigenvalue Problem by J.S. Hesthaven and T. Warburton on Jan. 1, 2003

03-19 An Analysis Of and a Comparison Between the Discontinuous Galerkin and the Spectral Finite Volume Methods by M. Zhang and C.-W. Shu on Jan. 1, 2003

03-20 On a One-Sided Post-Processing Technique for the Discontinuous Galerkin Methods by J. Ryan and C.-W. Shu on Jan. 1, 2003

03-21 Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters by J. Qiu and C.-W. Shu on Jan. 1, 2003

03-22 The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations by D. Xiu and G.E. Karniadakis on Jan. 1, 2003

03-23 Modeling Uncertainty in Flow Simulations Via Generalized Polynomial Chaos by D. Xiu and G.E. Karniadakis on Jan. 1, 2003

03-24 Modeling Uncertainty in Steady-State Diffusion Problems Via Generalized Polynomial Chaos by D. Xiu and G.E. Karniadakis on Jan. 1, 2003

03-25 Extension of a Post-Processing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Applications to an Aeroacoustic Problem by J. Ryan, C.-W. Shu, and H. Atkins on Jan. 1, 2003

03-26 Numerical Convergence Study of Nearly-Incompressible, Inviscid Taylor-Green Vortex Flow by W.S. Don, D. Gottlieb, C.-W. Shu, O. Shilling, L. Jameson on Jan. 1, 2003

03-27 A Fast Solver for Fokker-Planck Equation Applied to Viscoelastic Flow Calculations: 2D FENE model by A. Lozinski and C. Chauviere on Jan. 1, 2003

### 2002

02-01 A Spectral Vanishing Viscosity Method for Stabilizing Low-Dimensional Galerkin Systems by S. Sirisup and G. E. Karniadakis on Jan. 1, 2002

02-02 On the Constants in hp-Finite Element Trace Inequalities by T. Warburton and J. S. Hesthaven on Jan. 1, 2002

02-03 A Fokker-Planck Simulation of Fast Flows of Concentrated Polymer Solutions in Complex Geometries by A. Lozinski, C. Chauviere, J. Fang, and R. G. Owens on Jan. 1, 2002

02-04 High-Order Accurate Methods in Time-Domain Computational Electromagnetics: A Review by J. S. Hesthaven on Jan. 1, 2002

02-05 Spatial Discretization Of the Dusty Gas Equations by D. Gottlieb and R. Teman on Jan. 1, 2002

02-06 High-Order Accurate Methods For Time-Domain Electromagnetics by J.S. Hesthaven and T. Warburton on Jan. 1, 2002

02-07 P-Refinement and P-Threads by S. Dong and G.E. Karniadakis on Jan. 1, 2002

02-08 An Analysis of Three Different Formulations of the Discontinuous Galerkin Method For Diffusion Equations by M. Zhang and C.-W. Shu on Jan. 1, 2002

02-09 Finite Difference WENO Schemes With Lax-Wendroff Type Time Discretizations by J. Qiu and C.-W. Shu on Jan. 1, 2002

02-10 Multi-Domain WENO Finite Difference Method With Implementation at Sub-Domain Interfaces by K. Sebastian and C.-W. Shu on Jan. 1, 2002

02-11 Simulation of Dilute Polymer Solutions Using a Fokker-Planck Equation by C. Chauviere and A. Lozinski on Jan. 1, 2002

02-12 On the Engquist-Majda Absorbing Boundary Conditions for Hyperbolic Systems by A. Ditkowski and D. Gottlieb on Jan. 1, 2002

02-13 Resolution of High-Order WENO Schemes for Complicated Flow Structures by J. Shi, Y. T. Zhang, and C.-W. Shu on Jan. 1, 2002

02-14 A Weighted Essentially Non-Oscillatory Numerical Scheme for a Multi-Class LWR Model by M. Zhang, C.-W. Shu, G. C. K. Wong, and S. C. Wong on Jan. 1, 2002

02-15 A Multi-Domain Spectral Method for Supersonic Reactive Flows by W.S. Don, D. Gottlieb, and J.H. Jung on Jan. 1, 2002

02-16 Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods For Scalar Conservation Laws by Q. Zhang and C.-W. Shu on Jan. 1, 2002

02-17 On the Convergence of the Fourier Approximation For Eigenvalues and Eigenfunctions of Discontinuous Problems by M.S. Min and D. Gottlieb on Jan. 1, 2002

02-18 A WENO-Solver For the Transients of Boltzmann-Poisson System for Semiconductor Devices. Performance and Comparisons With Monte-Carlo Methods by J. A. Carrillo, I. M. Gamba, A. Majorana, and C.-W. Shu on Jan. 1, 2002

02-18 An Efficient Technique For Simulation of Viscoelastic Flows Derived From the Brownian Configuration Field Method by Q. Zhang, M. Zhang, G. Jin, D. Lin, and C.-W. Shu on Jan. 1, 2002

02-19 Modeling Numerical Methods and Simulation For Particle-Fluid Two-Phase Flow Problems by Q. Zhang, M. Zhang, G. Jin, D. Lin, and C.-W. Shu on Jan. 1, 2002

### 2001

01-01 Shock Capturing, Level Sets, and PDE-Based Methods in Computer Vision and Image Processing: A Review of Osher’s Contribution by R. I. Fedkiw, G. Sapiro, and C.-W. Shu on Jan. 1, 2001

01-02 Local Discontinuous Galerkin Methods For Partial Differential Equations With Higher-Order Derivatives by J. Yan and C.-W. Shu on Jan. 1, 2001

01-03 Under-Resolution and Diagnostics in Spectral Simulations of Complex-Geometry Flowsby R. M. Kirby and G. E. Karniadakis on Jan. 1, 2001

01-04 A Semi-Lagrangian Method For Turbulence Simulations Using Mixed Spectral Discretizations by J. Xu, D. Xiu, and G. E. Karniadakis on Jan. 1, 2001

01-05 Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation by M. Jardak, C. H. Su, and G. E. Karniadakis on Jan. 1, 2001

01-06 Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos by d. Xiu, D. Lucor, C. H. Su, and G. E. Karniadakis on Jan. 1, 2001

01-07 High-Order Unstructured Grid Methods for Time-Domain Electromagnetics by J. S. Hesthaven and T. Warburton on Jan. 1, 2001

01-08 High-Order WENO Schemes For the Hamilton-Jacobi Equations on Triangular Meshes by Y. Zhang and C.-W. Shu on Jan. 1, 2001

01-09 A WENO Solver For the 1D Non-Stationary Boltzmann-Poisson System for Semiconductor Devices by J. A. Carrillo, I. M. Gamba, A. Majorana, and C.-W. Shu on Jan. 1, 2001

01-10 Long-Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics by S. Abarbanel, D. Gottlieb, and J. S. Hesthaven on Jan. 1, 2001

01-11 On the Conservation and Convergence to Weak Solutions of Global Schemes by M. H. Carpenter, D. Gottlieb, and C.-W. Shu on Jan. 1, 2001

01-12 Numerical Solution of a Virtual Internal Bond Model For Material Fracture by P. Lin and C.-W. Shu on Jan. 1, 2001

01-13 Nodal High-Order Discontinuous Galerkin Method for the Spherical Shallow Water Equations by F. X. Giraldo, J. S. Hesthaven, and T. Warburton on Jan. 1, 2001

01-14 On the Construction, Comparison, and Local Characteristic Decomposition For High-Order Central WENO Schemes by J. Qiu and C.-W. Shu on Jan. 1, 2001

01-15 A Local Discontinuous Galerkin Method for KdV-Type Equations by J. Yan and C.-W. Shu on Jan. 1, 2001

01-16 Multi-Domain Pseudospectral Time-Domain Simulations of Scattering By Objects Buried in Lossy Media by G. X. Fan, Q. H. Liu, and J. S. Hesthaven on Jan. 1, 2001

01-17 A Multidomain Pseudospectral Formulation For the Simulation of Elastic Wave Scattering by S. A. Nielsen and J. S. Hesthaven on Jan. 1, 2001

01-18 High-Order Finite-Difference and Finite-Volume WENO Schemes and Discontinuous Galerkin Methods for CFD by C.-W. Shu on Jan. 1, 2001

01-19 Adaptive High-Order Finite-Difference Method For Nonlinear Wave Problems by I. Fatkullin and J. S. Hesthaven on Jan. 1, 2001

01-20 Modeling Uncertainty in Flow Simulations Via Polynomial Chaos by D. Xiu and G. E. Karniadakis on Jan. 1, 2001

01-21 A Semi-Lagrangian High-Order Method for Navier-Stokes Equations by D. Xiu and G. E. Karniadakis on Jan. 1, 2001

01-22 High-Order/Spectral Methods on Unstructured Grids I. Time-Domain Solution of Maxwell’s Equations by J. S. Hesthaven and T. Warburton on Jan. 1, 2001

01-23 Numerical Study on Landau Damping by T. Zhou, Y. Guo, and C.-W. Shu on Jan. 1, 2001

01-24 Fast and Accurate Modeling of Waveguide Grating Couplers. II. The Three-Dimensional Vectorial Case by P. Dinesen and J.S. Hesthaven on Jan. 1, 2001

### 2000

00-01 The Instability of the Yee Scheme For the “Magic Time Step” by M. S. Min and C. H. Teng on Jan. 1, 2000

00-02 A Technique of Treating Negative Weights in WENO Schemes by J. Shi, C. Hu, and C.-W. Shu on Jan. 1, 2000

00-03 Comparison of Monte-Carlo and Deterministic Simulations of a Silicon Diode by J. A. Carrillo, I. M. Gamba, O. Muscato, and C.-W. Shu on Jan. 1, 2000

00-04 Enhanced Accuracy By Post-Processing For Finite-Element Methods for Hyperbolic Equations by B. Cockburn, M. Luskin, C.-W. Shu, and E. Suli on Jan. 1, 2000

00-05 Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems by B. Cockburn and C.-W. Shu on Jan. 1, 2000

00-06 Modelling Dielectric Interfaces in the FDTD Method: A Comparative Study by C. H. Teng, A. Ditkowski, and J. S. Hesthaven on Jan. 1, 2000

00-07 On Error Bounds of Finite-Difference Approximations to Partial Differential Equations — Temporal Behavior and Rate of Convergence by S. Abarbanel, A. Ditkowski, and B. Gustafsson on Jan. 1, 2000

00-08 Analysis of Electrosmotically-Driven Micro-Channel Flows by P. Dutta, T. C. Warburton, and A. Beskok on Jan. 1, 2000

00-09 Ground States of Dispersion-Managed NLS by E. Grenier, S. K. Turitsyn, C. K. R. T. Jones, V. Zharnitsky, and J. S. Hesthaven on Jan. 1, 2000

00-10 Different Formulations of the Discontinuous Galerkin Method For the Viscous Terms by C.-W. Shu on Jan. 1, 2000

00-11 Numerical Comparison of WENO Finite-Volume and Runge-Kutta Discontinuous Galerkin Methods by T. Zhou, Y. Li, and C.-W. Shu on Jan. 1, 2000

00-12 Fast and Accurate Modeling of Waveguide Grating Couplers by P. G. Dinesen and J. S. Hesthaven on Jan. 1, 2000

00-13 An Unstructured hp Finite-Element Scheme For Fluid Flow and Heat Transfer in Moving Domains by A. Beskok and T. Warburton on Jan. 1, 2000

00-14 Computational Macroscopic Approximations to the 1D Relaxation-Time Kinetic System For Semiconductors by J. A. Carrillo, I. Gamba, and C.-W. Shu on Jan. 1, 2000

00-15 Strong Stability-Preserving High-Order Time Discretization Methods by S. Gottlieb, C.-W. Shu, and E. Tadmor on Jan. 1, 2000

00-16 Spectral Methods For Hyperbolic Problems by D. Gottlieb and J. S. Hesthaven on Jan. 1, 2000