A stable noniterative prediction/correction domain decomposition method for hyperbolic problems

DOI10.1016/J.AMC.2010.03.064zbMath1193.65169OpenAlexW2047750041MaRDI QIDQ983973

Younbae Jun

Publication date: 13 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.064

zbMATH Keywords

algorithmfinite difference methoddomain decompositionnumerical experimentsunconditional stabilitytelegraph equationhyperbolic equation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (2)

Explicit/implicit and Crank-Nicolson domain decomposition methods for parabolic partial differential equations ⋮ Second-order treatment of the interface of domain decomposition method for parabolic problems

Cites Work

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• Hyperbolic partial differential-difference equation in the mathematical modeling of neuronal firing and its numerical solution
• An unconditionally stable finite difference formula for a linear second order one space dimensional hyperbolic equation with variable coefficients
• Stability interval for explicit difference schemes for multi-dimensional second-order hyperbolic equations with significant first-order space derivative terms
• Solving parabolic and hyperbolic equations by the generalized finite difference method
• IPIC domain decomposition algorithm for parabolic problems
• ADI method -- domain decomposition
• An explicit difference method for the wave equation with extended stability range
• Combined finite difference and spectral methods for the numerical solution of hyperbolic equation with an integral condition

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