Locally one-dimensional-alternating segment explicit–implicit and locally one-dimensional-alternating segment Crank–Nicolson methods for two-dimension parabolic equations

DOI10.1080/00207160.2014.895336zbMath1317.65181OpenAlexW2059541335MaRDI QIDQ5259055

Dong Liang, Shouhui Zhang

Publication date: 24 June 2015

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

Full work available at URL: https://doi.org/10.1080/00207160.2014.895336

zbMATH Keywords

domain decompositionparallel algorithmparabolic problemalternating segment schemelocally one-dimension

Mathematics Subject Classification ID

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) Parallel numerical computation (65Y05)

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New Parallel Algorithm for Convection-Dominated Diffusion Equation

Cites Work

• Fourth-order alternating direction implicit compact finite difference schemes for two-dimensional Schrödinger equations
• A fractional step ELLAM approach to high-dimensional convection-diffusion problems with forward particle tracking
• Alternating segment explicit-implicit scheme for nonlinear third-order KdV equation
• The new alternating direction implicit difference methods for solving three-dimensional parabolic equations
• A new explicit method for the diffusion-convection equation
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• Energy-conserved splitting FDTD methods for Maxwell's equations
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Group explicit methods for parabolic equations
• Efficient Parallel Algorithms for Parabolic Problems
• Alternating group explicit parallel algorithms for the solution of one-space dimensional non-linear singular parabolic equations using an O(k² + h⁴) difference method
• IMPROVED ACCURACY FOR LOCALLY ONE-DIMENSIONAL METHODS FOR PARABOLIC EQUATIONS
• Difference schemes with a “disintegrating” operator for multidimensional problems

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