Sharp bounds of the inverse matrices resulted from five-point stencil in solving Poisson equations

DOI10.1016/j.laa.2013.11.029zbMath1286.15026OpenAlexW2057773537MaRDI QIDQ2442262

Jianhong Xu, Mingqing Xiao

Publication date: 2 April 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.11.029

zbMATH Keywords

convergencerandom walkPoisson equationsmatrix inverseinfinity normfive-point stencil

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Theory of matrix inversion and generalized inverses (15A09) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• Estimation of the diffusion rate and crossing probability for biased edge movement between two different types of habitat
• Matrix analysis of a Markov chain small-world model
• Bubble dynamics in DNA
• Theory of Financial Risk and Derivative Pricing

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