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Physical Sciences → Mathematics → Mathematical Physics

Numerical methods in inverse problems

This cluster of papers focuses on the mathematical theory and computational methods for solving inverse problems in various fields, including mathematical physics and imaging. It covers topics such as regularization methods, ill-posed problems, electrical impedance tomography, Calderón's problem, boundary value problems, inverse scattering theory, Tikhonov regularization, transmission eigenvalues, and numerical methods.

58.4K works worldwide621K citations
Inverse ProblemsRegularization MethodsIll-Posed ProblemsElectrical Impedance TomographyCalderón's ProblemBoundary Value ProblemInverse Scattering TheoryTikhonov RegularizationTransmission EigenvaluesNumerical Methods

Journals publishing in this area

1Journal of Mathematical Analysis and Applications cover
Journal of Mathematical Analysis and Applications
ISSN 0022-247X2,076 articles in this topic
235h-index
2Journal of Mathematical Physics cover
Journal of Mathematical Physics
ISSN 0022-2488895 articles in this topic
273h-index
3Applied Mathematics and Computation cover
Applied Mathematics and Computation
ISSN 0096-3003731 articles in this topic
195h-index
4Computers & Mathematics with Applications cover
Computers & Mathematics with Applications
ISSN 0898-1221551 articles in this topic
231h-index
5Mathematics of Computation cover
Mathematics of Computation
ISSN 0025-5718510 articles in this topic
322h-index
6Journal of Computational Physics cover
Journal of Computational Physics
ISSN 0021-9991497 articles in this topic
411h-index