Lecture 4

APMA 2560 – Spring 2011

Lecture 4
Numerical Solution of PDEs II
Instructor: Professor G.E. Karniadakis
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• Approximation Theory and Resolution Rules-of-Thumb
– Chebyshev polynomials and convergence
– Regular versus singular Sturm-Liuville problems
– Legendre polynomials and convergence
– Laguerre and Hermite polynomials
– Askey family of orthogonal polynomials
• Reading: Gottlieb & Orszag, section 3; also Karniadakis & Sherwin, Appendix A