HTML version of Abstract of Basic Foils prepared March 15 00

Abstract of Collection of Extra Foils for CPS615 PDE Iterative Solution Discussion

From Collection of Extra Foils for CPS615 PDE Iterative Solution Discussion CPS615 Spring Semester 00 -- March 00. by Geoffrey C. Fox *
1 This Introduces the three fundamental types of PDE's -- Elliptic, Parabolic and Hyperbolic and studies the numerical solution of Elliptic Equations
2 The sparse matrix formulation is used and iterative approaches -- Jacobi, Gauss Seidel and SOR are defined
3 These are motivated by analogies between equilibrium of diffusive equations and elliptic systems
4 Parallel Computing is Discussed for Gauss Seidel
5 Eigenvalue analysis is used to discuss convergence of methods
6 We discuss Multigrid methods at a simple level
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