APMA 2560 – Spring 2011
Lecture 2
Numerical Solution of PDEs II
Instructor: Professor G.E. Karniadakis
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Lecture #2
• Methods of Weighted Residuals
– Collocation method
– Least-squares method
– Galerkin and Petro-Galerkin method
– Tau method
• Multi-domain formulation – Finite Elements
• Reading: Karniadakis & Sherwin, sections 2.1-2.2; Gottlieb & Orszag, section 2