An Introduction to Inverse Problems with Applications

DOI10.1007/978-3-642-32557-1zbMath1264.65183OpenAlexW1584287217MaRDI QIDQ4648701

Antônio José da Silva Neto, Francisco Duarte Moura Neto

Publication date: 16 November 2012

Full work available at URL: https://doi.org/10.1007/978-3-642-32557-1

algorithm modeling singular value decomposition inverse problems textbook heat conduction radiative transfer ill-posed problems conjugate gradient image restoration Levenberg-Marquardt regularization techniques modified Newton

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Ill-posed problems for PDEs (35R25) Inverse problems for PDEs (35R30) Inverse problems involving ordinary differential equations (34A55) 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) Linear operators and ill-posed problems, regularization (47A52) Numerical solution of inverse problems involving ordinary differential equations (65L09) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to numerical analysis (65-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations (35-01) Numerical methods for ill-posed problems for initial value and initial-boundary value problems involving PDEs (65M30) Numerical methods for ill-posed problems for boundary value problems involving PDEs (65N20)

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