scientific article; zbMATH DE number 1936602

zbMath1034.65036MaRDI QIDQ4406446

A. I. Grebennikov

Publication date: 2002

Full work available at URL: http://mathnet.ru/eng/mm/v14/i5/p35

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zbMATH Keywords

algorithmconvergencecollocation methodinverse problemnumerical experimentsboundary integral methodparabolic equationLaplace equationsingular integral equationlinear ill-posed problemsspline functionsregularization methodsparameter estimation problemsrecursive smoothing method

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solutions to equations with linear operators (65J10) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Linear operators and ill-posed problems, regularization (47A52)

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