Parallel preconditioners for large scale partial difference equation systems

DOI10.1016/j.cam.2008.05.039zbMath1160.65014OpenAlexW2027020769MaRDI QIDQ1008673

Chao Yang, Jian-Wen Cao, Jiachang Sun

Publication date: 30 March 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.05.039

zbMATH Keywords

numerical resultsconservation lawsfinite difference methodpreconditioningparallel computationpetroleum reservoir simulation

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

Uses Software

• ITSOL
• FFTW
• SPARSKIT

Cites Work

• A Sherman-Morrison approach to the solution of linear systems
• Generalized Fourier transform on an arbitrary triangular domain
• Approximate eigen-decomposition preconditioners for solving numerical PDE problems
• Aspects of the dynamical core of a nonhydrostatic, deep-atmosphere, unified weather and climate-prediction model
• On Deriving the Inverse of a Sum of Matrices
• Factorized Sparse Approximate Inverse Preconditionings I. Theory
• The Discrete Cosine Transform
• On Fourier-Toeplitz Methods for Separable Elliptic Problems
• Conservative Finite-Difference Methods on General Grids
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