Numerical methods for solving inverse problems of mathematical physics.

DOI10.1515/9783110205794zbMath1136.65105OpenAlexW622090884MaRDI QIDQ2508985

Petr N. Vabishchevich, A. A. Samarskij

Publication date: 23 October 2006

Published in: Inverse and Ill-Posed Problems Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110205794

zbMATH Keywords

stabilityconvergenceevolution equationtextbookboundary value problemselliptic equationsparabolic equationsill-posed problemsmathematical physicsTikhonov regularization methodevolutionary inverse problemsright-hand side identificationfinite-difference problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Inverse problems for PDEs (35R30) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Initial value problems for second-order parabolic equations (35K15) Inverse problems involving ordinary differential equations (34A55) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution of inverse problems involving ordinary differential equations (65L09) Partial differential equations of mathematical physics and other areas of application (35Qxx)

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