On a new class of additive (splitting) operator-difference schemes

DOI10.1090/S0025-5718-2011-02492-0zbMath1251.65125arXiv1005.2086OpenAlexW2962832646WikidataQ57694620 ScholiaQ57694620MaRDI QIDQ3117210

Petr N. Vabishchevich

Publication date: 17 February 2012

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

Full work available at URL: https://arxiv.org/abs/1005.2086

zbMATH Keywords

stabilityoperator-difference schemesevolutionary problemssplitting schemessystem of evolution equationsvector additive 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 second-order parabolic systems (35K45)

Related Items (9)

A numerical method for solving the second initial-boundary value problem for a multidimensional third-order pseudoparabolic equation ⋮ Additive schemes (splitting schemes) for some systems of evolutionary equations ⋮ Splitting schemes for one class of operator differential equations ⋮ A splitting scheme for diffusion and heat conduction problems ⋮ Splitting schemes for pseudoparabolic equations ⋮ The First Boundary Value Problem for Multidimensional Pseudoparabolic Equation of the Third Order in the Domain with an Arbitrary Boundary ⋮ Flux-splitting schemes for parabolic equations with mixed derivatives ⋮ Numerical solution of time-dependent problems with a fractional-power elliptic operator ⋮ ON CONSTRUCTION AND ANALYSIS OF FINITE DIFFERENCE SCHEMES FOR PSEUDOPARABOLIC PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Domain decomposition methods for the numerical solution of partial differential equations
• Vector additive difference schemes for first-order evolution equations.
• Regularized additive full approximation schemes
• Stability of vector additive schemes
• Partial differential equations of Sobolev-Galpern type
• Regularized additive operator-difference schemes
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• Domain Decomposition Methods With Overlapping Subdomains For The Time-Dependent Problems Of Mathematical Physics
• Numerical Solution of Sobolev Partial Differential Equations
• Time-Stepping Galerkin Methods for Nonlinear Sobolev Partial Differential Equations
• Pseudoparabolic Partial Differential Equations
• Regularization of difference schemes

This page was built for publication: On a new class of additive (splitting) operator-difference schemes