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.