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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

Articles on Scinovex in this research area

11 articles, most cited first

  1. MSM fractional integration and differentiation operators of multi-parametric K-Mittag Leffler function and generalized multi-index Bessel function
    International Journal of Statistics and Applied Mathematics · 2018 · 3 citations · AI summary
  2. Variations in ground temperature in the presence of radiative heat flux and spatial-dependent soil thermophysical property
    International Journal of Statistics and Applied Mathematics · 2017 · 3 citations
  3. Numerical solution of three-parameter eigenvalue problems using newton’s method
    International Journal of Statistics and Applied Mathematics · 2026 · 0 citations
  4. Characteristic surfaces for coupled burger’s equation
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  5. Numerical solution of 1-dimensional heat conduction problem using double interpolation method
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  6. On numerical range distortion under metric similarity in Hilbert space operators
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  7. Examining stieltjes transform methods for moment problems with applications to Gujarat coastline recession mapping
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  8. Constructing green function estimates for Schrodinger operators with applications to atlas mountain erosion models
    International Journal of Statistics and Applied Mathematics · 2025 · 0 citations
  9. On numerical range and spectral properties of some classes of operators in hilbert spaces
    International Journal of Statistics and Applied Mathematics · 2020 · 0 citations
  10. Fluctuations in ground temperature with variable suction velocity and a convective boundary condition
    International Journal of Statistics and Applied Mathematics · 2020 · 0 citations · AI summary
  11. Determination of temperature or heat distribution (Potential Function) over multiply connected infinite medium
    International Journal of Statistics and Applied Mathematics · 2017 · 0 citations · AI summary