Additive schemes (splitting schemes) for some systems of evolutionary equations

DOI10.1090/S0025-5718-2014-02799-3zbMath1297.65099arXiv1112.1294MaRDI QIDQ3189449

Petr N. Vabishchevich

Publication date: 10 September 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.1294

zbMATH Keywords

systemsCauchy probleminitial boundary value problemsevolutionary problemssplitting schemesstability of operator-difference schemesadditive operator-difference schemes

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) Initial value problems for nonlinear first-order PDEs (35F25)

Related Items (1)

Numerical solution of time-dependent problems with a fractional-power elliptic operator

Cites Work

• Domain decomposition methods for the numerical solution of partial differential equations
• Theory of fluid flows through natural rocks
• On the necessity of negative coefficients for operator splitting schemes of order higher than two
• Difference schemes for nonstationary vector problems
• Operator-splitting Schemes for Solving Unsteady Elasticity Problems
• On a new class of additive (splitting) operator-difference schemes
• Numerical Methods for Evolutionary Differential Equations
• Solving Linear Partial Differential Equations by Exponential Splitting
• Numerical Methods for Elliptic and Parabolic Partial Differential Equations
• High Order Difference Methods for Time Dependent PDE
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