### APMA 2560 – Spring 2011

Lecture 3

Numerical Solution of PDEs II

Instructor: Professor G.E. Karniadakis

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• Fourier Spectral Methods

– Fourier-Galerkin method; stability for hyperbolic problems

– Fourier-Collocation method; stability for hyperbolic problems

– Stability of parabolic equations

– Stability of nonlinear equations

• Reading: section 6 of Gottlieb & Orszag; chapter 3 of Hesthaven et al.