Numerical solution by the quasi-reversibility method of unstable problems for the first-order evolution equation

DOI10.1007/BF01128155zbMath1331.47086WikidataQ57694691 ScholiaQ57694691MaRDI QIDQ5965184

Petr N. Vabishchevich

Publication date: 2 March 2016

Published in: Computational Mathematics and Modeling (Search for Journal in Brave)

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Canonical models for contractions and nonselfadjoint linear operators (47A45) Finite difference and finite volume methods for ordinary differential equations (65L12) Nonlinear evolution equations (47J35) Linear operators and ill-posed problems, regularization (47A52) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Cites Work

• The final value problem for evolution equations
• The Approximation of Certain Parabolic Equations Backward in Time by Sobolev Equations
• Some questions from the general theory of difference schemes
• Monotonic difference schemes for elliptic and parabolic equations in the case of a non-selfadjoint elliptic operator
• Pseudoparabolic Partial Differential Equations
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