Analytical and numerical investigation of the spectra of three-point difference operators

DOI10.1007/s10598-008-9011-0zbMath1177.65138OpenAlexW2072386958MaRDI QIDQ1037025

L. V. Dorodnitsyn

Publication date: 13 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10598-008-9011-0

zbMATH Keywords

stabilityfinite difference methodconvection-diffusion equationnonstandard boundary conditionsnumerical examplesheat conduction equationnonreflecting boundary conditionsexplicit algorithms

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (1)

A method for approximate analysis of Courant stability of central-difference schemes with boundary conditions

Uses Software

• RODAS

Cites Work

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• Stiff differential equations solved by Radau methods
• Discretely nonreflecting boundary conditions for linear hyperbolic systems
• Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II

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