Full Index for Basic foilset 
| This Introduces the three fundamental types of PDE's -- Elliptic, Parabolic and Hyperbolic and studies the numerical solution of Elliptic Equations |
| The sparse matrix formulation is used and iterative approaches -- Jacobi, Gauss Seidel and SOR are defined |
| These are motivated by analogies between equilibrium of diffusive equations and elliptic systems |
| Parallel Computing is Discussed for Gauss Seidel |
| Eigenvalue analysis is used to discuss convergence of methods |
| We discuss Multigrid methods at a simple level |
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CPS 615 -- Computational Science in Simulation Track Solution of Simple Partial Differential Equations and Iterative Solvers
Abstract of Simple Partial Differential Equations and Iterative Solvers
Boundary Conditions I
Boundary Conditions II
Boundary Conditions III
Iterative Methods for Solving Sparse Matrices
Formalism for Iterative Methods
Preconditioning
Convergence of Jacobi in One Dimension
What is Easy/Hard for Jacobi?
Information Moves Slowly
Lowest Eigenvalue converges fastest
Successive Over Relaxation I
Successive Over Relaxation II
Some Mathematical Details
Multigrid Methods
Gauss Seidel is Slow I
Gauss Seidel is Slow II
Multigrid Philosophically
Multigrid Hierarchy
Basic Multigrid Ideas
Multigrid Algorithm: procedure MG(level, A, u, f)
Multigrid Cycles
What can we do for Parallel Gauss Seidel?
16 by 16 Wavefront Parallel Gauss Seidel
Wavefront
Red Black Parallel Gauss Seidel I
Red Black
Red Black Parallel Gauss Seidel II
Parallel Red Black
Red Black Parallel Gauss Seidel III
Red Black Parallel Gauss Seidel IV Full WebWisdom URL and this Foilset Search
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