Characteristic features of error in high-order difference calculation of 1D Poisson equation and unlimited high-accurate calculation under multi-precision calculation

DOI10.1016/j.matcom.2021.05.011OpenAlexW3165233741MaRDI QIDQ2666241

Tsugio Fukuchi

Publication date: 22 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.2021.05.011

zbMATH Keywords

finite difference methodPoisson equationnumerical calculationband diagonal matrix algorithmhigh-precision calculation

Mathematics Subject Classification ID

Numerical analysis (65-XX) Statistical mechanics, structure of matter (82-XX)

Uses Software

• Excel

Cites Work

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• Guidelines for Poisson solvers on irregular domains with Dirichlet boundary conditions using the ghost fluid method
• A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
• A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
• Level set methods and dynamic implicit surfaces
• The Numerical Solution of Laplace's Equation
• Numerical Analysis

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