APMA 2560 – Spring 2011
Lecture 4
Numerical Solution of PDEs II
Instructor: Professor G.E. Karniadakis
*******************************************************************
• 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