1. A.D. Jagtap, G.E. Karniadakis, “Adaptive activation functions accelerate convergence in deep and physics-informed neural networks.” arXiv preprint arXiv:1906.01170, 2019.
  2. A. L. Blumers, Y. Tang, Z. Li, X. Li, G. E. Karniadakis, “GPU-accelerated red blood cells simulations with transport dissipative particle dynamics.” Comp. Physics Comm. 217:171-179, 2017.
  3. S. Lee, I. G. Kevrekidis, G. E. Karniadakis, “A resilient and efficient CFD framework: Statistical learning tools for multi-fidelity and heterogeneous information fusion.” J. Comp. Physics, 344:516-533, 2017.
  4. P. Perdikaris, J. A. Insley, L. Grinberg, Y. Yu, M. E. Papka, G. E. Karniadakis, “Visualizing multiphysics, fluid-structure interaction phenomena in intracranial aneurysms.” Parallel Computing 55, 9-16, 2016.
  5. Y-H. Tang, S. Kudo, X. Bian, Z. Li and G.E. Karniadakis, ”Multiscale universal interface: A concurrent framework for coupling heterogeneous solvers.” J. Comp. Phys. 297, 13-31, 2015.
  6. Y.-H. Tang and G.E. Karniadakis, “Accelerating Dissipative Particle Dynamics Simulations on GPUs: Algorithms, Numerics and Applications.” Comp. Phys. Commun., 185, 2809-2822, 2014.
  7. L. Grinberg, D. Fedosov and G. E. Karniadakis, “Parallel multiscale simulations of a brain aneurysm.” J. Comp. Phys. 244:131-147, 2013.
  8. L. Grinberg, J. Insley, D. Fedosov, V. Morozov, M. Papka, G. E. Karniadakis, “Tightly coupled atomistic-continuum simulations of brian flow on petaflop supercomputers.” Comp. Sci. Engin. 14(6), 58-67, 2012.
  9. L. Grinberg, G. E. Karniadakis, “A new domain decomposition method with overlapping patches for ultrascale simulations: Application to biological flows.” J. Comp. Phys. 229, 5541-5563, 2010.
  10. L. Grinberg, D. Pekurovsky, S. Sherwin, G. E. Karniadakis, “Parallel performance of the coarse space linear vertex solver  and low energy basis preconditioner for spectral/hp elements.” Parallel Computing. 35, 284-304, 2009.
  11. L. Grinberg, G. E. Karniadakis, “A scalable domain decomposition method for  ultra-parallel arterial flow simulations.” Commun. Comput. Phys. 4, 1151-1169, 2008.
  12. S. Dong, J. Insley, N. T. Karonis, M. Papka, J. Binns, G. E. Karniadakis, “Simulating and visualizing the human arterial system on the  TeraGrid.” Future Generation Computer Systems,  The International Journal of Grid Computing: Theory, Methods and Applications, 22, 1011- 1017, 2006.
  13. S. Dong, G. E. Karniadakis, N. T. Karonis, ”Cross-site computations on the TeraGrid.” Comp. Sci. Engin., 7(5), 14-23, 2005.
  14. S. Dong, G. E. Karniadakis, “Dual-level parallelism for high-order CFD methods.” Parallel Computing, 30(1), 1-20, 2004.
  15. S. Dong, G. E. Karniadakis, ”Multilevel parallelization models in CFD.” J. Aerospace Comp. Inform. Com., 1, 256-268, 2004.
  16. J. S. Sobel, A. S. Forsberg, D. H. Laidlaw, R. C. Zelesnik, D. F. Keefe, I. Pivkin, G. E. Karniadakis, P. Richardson, S. Swartz, “Particle Flurries.” IEEE Computer Graphics and Applications,  24(2), 76-85, 2004.
  17. S. Dong, G. E. Karniadakis, “P-refinement and P-threads.” Comput. Methods Appl. Mech. Engrg. 192, 2191-2201, 2003.
  18. J. Xu, S. Dong, M. R. Maxey, G. E. Karniadakis, ”Direct numerical simulation of turbulent channel flow with bubbles.” Contemporary Mathematics, Current Trends in Scientific Computing, 329, 347-354, American Mathematical Society, edited by Z. Chen, R. Glowinski, K. Li, 2003.
  19. G. E. Karniadakis, R. M. Kirby, ”Parallel Scientific Computing in C and MPI.” Cambridge University Press, 2003.
  20. S. Dong, G. E. Karniadakis, ”Dual level parallelism for deterministic and stochastic CFD problems.” Proceedings of Supercomputing 2002, Baltimore,MD.  November 2002.
  21. R. M. Kirby, Y. Du, D. Lucor, X. Ma, G. S. Karamanos, G. E. Karniadakis, ”Parallel DNS and LES of turbulence and flow-structure interactions.” Proceedings of the DoD HPCMP Users Group Conference, June 5-8, 2000.
  22. C. Evangelinos, S. J. Sherwin, G. E. Karniadakis, “Parallel DNS algorithms on unstructured grids.” Comp. Meth. Appl. Mech. Engr., 184, 401-425, 2000.
  23. R. M. Kirby, I. Lomtev, C. Evangelinos, G. S. Karamanos, G. E. Karniadakis, ”Parallel DNS of flow-structure interactions.” Proceedings of the DoD HPCMP Users Group Conference, June 7-10, 1999.
  24. G.-S. Karamanos, C. Evangelinos, R. Boes, R. M. Kirby, G. E. Karniadakis, ”DNS of turbulence on a PC/Linux cluster: Fact or fiction?” Proc. SuperComputing, 1999.
  25. S. J. Sherwin, C. Evangelinos, H. Tufo, G. E. Karniadakis, ”Development of a parallel unstructured spectral/hp method for unsteady fluid dynamics.” Proc. Parallel CFD’97, May 1997.
  26. C. Evangelinos, G. E. Karniadakis, ”Communication performance models in PRISM: A spectral element-Fourier parallel Navier-Stokes solver.” Proc. Supercomputing, 1996. (* Note: finalist for best student paper)
  27. C. Evangelinos, G. E. Karniadakis, “Parallel CFD Benchmarks on Cray Computers.” Parallel Algorithms and Applications, 9, 273, 1996, [also in Proc. Int. Conf. Parallel Algorithms,  October 1995, Wuhan, China (invited presentation).]
  28. C. H. Crawford, C. Evangelinos, D. J. Newman, G. E. Karniadakis, “Parallel  benchmarks of turbulence in complex geometries.” Computers and Fluids, 25, 677, 1996, [also in Proc. Parallel CFD’95, June 26-29, 1995, Pasadena, CA.]
  29. G. E. Karniadakis, S. A. Orszag, ”Nodes, Modes, and Flow Codes.” Physics Today, pp. 34-42, March 1993.
  30. R. D. Henderson, G. E. Karniadakis, ”A hybrid spectral element-finite difference method for parallel computers.”  Unstructured Scientific Computation on Scalable Multi- Processors, ed. P. Mehrotra, J. Saltz, R. Voigt, M.I.T. Press, p. 221, 1992.
  31. D. Chu, R. D. Henderson, G. E. Karniadakis, ”Parallel spectral element-Fourier simulation of turbulence over riblet-mounted surfaces.” Theor. and Comput. Fluid Dynamics, vol. 3, p.219, 1992.
  32. D. Chu, R. D. Henderson, G. E. Karniadakis, ”Parallel hybrid spectral element methods for incompressible flows.” Proc. 4th Int. Conf. on CFD, UC Davis, 1991.
  33. G. E. Karniadakis, S. A. Orszag, ”Parallel spectral computations of complex engineering flows.” Chapter 9 in Supercomputing in Engineering Analysis, New Generation Computing, ed. H. Adeli, 1990.
  34. P. Fischer, L. W. Ho, G. E. Karniadakis, E. M. Ronquist, A. T. Patera, ”Recent advances in parallel spectral element simulation of unsteady incompressible flows.” Comp. and Structures, vol. 30, p. 217, 1988.