HPC Topics

Topic: Jacobin Iterative Solvers

TOPIC	DOCUMENTS/NOTES/LINKS
Gropp Iterative Solvers and Advanced MPI Notes	Gropp: Using MPI - Intermediate Kjoldstad and Gropp (2010), "Ghost Cell Pattern" Gropp (2003), The 2-D Poisson Problem MThomas Notes: Jacobian-IterSolver-C (Gropp)
3D Iterative Solvers:	3D Heat Transfer Problem PPT presentation @ TeraGrid'09. Good explanation of 2D/3D heat equation and solution using finite volume method, example of parallel code snippets, scaling information. The Heat Equation (AeroStudents.com) Basic approach to 2D and 3D equation formulation. M. Qubeissi, Proposing a Numeric Solution for the 3D Heat Conduction Equations Good example of boundary conditions and visualization of 1D, 2D, and 3D results.
Wiki Notes on Iterative Solvers:	Jacobi Method Gauss Seidel Method Successive Over Relaxation (SOR)
Kaden Tseng Notes:	IterSolvers-hkbu.edu.hk-tdgc-2008.pdf [C-lang] KT_IterativeSolversFundamentals-Jacobi_F90.pdf KT_SerialJacobiIterativeScheme_F90.pdf KT_ParallelJacobiIterativeScheme_F90.pdf KT_ParallelSuccessiveOverRelaxationRed-blackScheme_F90.pdf Kaden F90, F77, and C Source Code: KadenTsang-JacobiSolvers.tar.gz
Victor Eijkhout HPC Book	Victor Eijkhout Text Notes: VE_Ch4_DifferentialEquations-slides.pdf M. Thomas Notes: MThomas_JacobianIterSolver.pdf

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