Operator-difference schemes for a class of systems of evolution equations

DOI10.1134/S0001434613010045zbMath1269.65080OpenAlexW2023918342WikidataQ57694578 ScholiaQ57694578MaRDI QIDQ1947765

Petr N. Vabishchevich

Publication date: 26 April 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613010045

zbMATH Keywords

stabilityregularizationCauchy problemboundary-value problemsplitting schemediscrete time approximationspatial approximationskew-symmetric operatorsystem of evolution equationstwo-time-level weighted operator-difference scheme

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) 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)

Cites Work

• Problems in compressible fluid dynamics with a variable viscosity
• Numerical treatment of partial differential equations. Revised translation of the 3rd German edition of `Numerische Behandlung partieller Differentialgleichungen' by Martin Stynes.
• Difference schemes for nonstationary vector problems
• Operator-splitting Schemes for Solving Unsteady Elasticity Problems
• Mixed and Hybrid Finite Element Methods
• Numerical Methods for Elliptic and Parabolic Partial Differential Equations
• Regularization of difference schemes
• Finite-difference Approximation of Mathematical Physics Problems on Irregular Grids
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