A fast method for solving quasi-pentadiagonal Toeplitz linear systems and its application to the Lax-Wendroff scheme

DOI10.1016/j.matcom.2021.03.031OpenAlexW3149573942MaRDI QIDQ2664781

Maher Moakher, Skander Belhaj, Fahd Hcini

Publication date: 18 November 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2021.03.031

zbMATH Keywords

Sherman-Morrison-Woodbury inversionLax-Wendroff schemequasi-pentadiagonal Toeplitz matrix\( L U\) decomposition

Mathematics Subject Classification ID

Numerical analysis (65-XX) Computer science (68-XX)

Related Items (1)

New algorithm for solving pentadiagonal CUPL-Toeplitz linear systems

Uses Software

• Matlab

Cites Work

• An algorithm for solving nonsymmetric penta-diagonal Toeplitz linear systems
• A new algorithm for solving nearly penta-diagonal Toeplitz linear systems
• An elementary algorithm for computing the determinant of pentadiagonal Toeplitz matrices
• New algorithms for solving periodic tridiagonal and periodic pentadiagonal linear systems
• A simple adaptive technique for nonlinear wave problems
• Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method
• A fast algorithm for solving tridiagonal quasi-Toeplitz linear systems
• A fast method for solving a block tridiagonal quasi-Toeplitz linear system
• A note on solving nearly penta-diagonal linear systems
• The Asymptotic Spectra of Banded Toeplitz and Quasi-Toeplitz Matrices
• An Efficient Method for Second Order Boundary Value Problems with Two Point Boundary Conditions
• Updating the Inverse of a Matrix
• Stable Parallel Algorithms for Two-Point Boundary Value Problems
• Perturbation method with triangular propagators and anharmonicities of intermediate strength

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