Theory of stability and regularization of difference schemes and its application to ill-posed problems of mathematical physics

DOI10.1016/0168-9274(94)00044-1zbMath0814.65092OpenAlexW2084706125MaRDI QIDQ1344318

A. A. Samarskij

Publication date: 18 June 1995

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(94)00044-1

zbMATH Keywords

stabilitydifference schemesevolutionary equationsill-posed problemregularization principle

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) 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 linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30)

Related Items (1)

An operator-difference scheme for abstract Cauchy problems

Cites Work

• Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1)
• REGULARIZED DIFFERENCE SCHEMES FOR EVOLUTIONARY SECOND ORDER EQUATIONS
• Stability Theory for Partial Difference Operators
• Classes of stable schemes
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