Spectral decomposition of a finite-difference operator

DOI10.1080/00207160500113215zbMath1119.65365OpenAlexW2082046501MaRDI QIDQ5699924

Shiu Hong Lui, Pappur N. Shivakumar

Publication date: 27 October 2005

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160500113215

zbMATH Keywords

eigenvaluenumerical examplesasymptotic expansionsfinite differenceLaplacian operatorabsorbing boundary conditionsSommerfeld boundary conditions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical approximation of eigenvalues and of other parts of the spectrum of ordinary differential operators (34L16) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Cites Work

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• Differential equations for the magnetic confinement of a plasma
• A Nonstandard Cyclic Reduction Method, Its Variants and Stability
• A Parallel Fast Direct Solver for Block Tridiagonal Systems with Separable Matrices of Arbitrary Dimension
• A Parallel Fictitious Domain Method for the Three-Dimensional Helmholtz Equation

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