On the stability of an operator-difference scheme of the type of hyperbolic-parabolic systems of differential equations
DOI10.1134/S0012266111080088zbMath1232.65127MaRDI QIDQ647738
Publication date: 24 November 2011
Published in: Differential Equations (Search for Journal in Brave)
stabilityerror estimatesabstract Cauchy problemthermoelasticityoperator-difference schemeabstract hyperbolic and parabolic equationsprojection-difference schemes
Thermodynamics in solid mechanics (74A15) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for PDEs of mixed type (35M11)
Cites Work
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- On the high smoothness of the solution of an abstract hyperbolic-parabolic system like systems of thermoelasticity equations
- Estimates for the accuracy of the projection-difference method for an abstract hyperbolic-parabolic system like systems of thermoelasticity equations
- Stability of three-layer difference schemes on grids that are nonuniform with respect to time.
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