{"id":"https://openalex.org/T11205","display_name":"Numerical methods in inverse problems","description":"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, Calder\u00f3n's problem, boundary value problems, inverse scattering theory, Tikhonov regularization, transmission eigenvalues, and numerical methods.","keywords":[{"id":"https://openalex.org/keywords/inverse-problems","display_name":"inverse problems","score":0.2204},{"id":"https://openalex.org/keywords/ill-posed-problems","display_name":"ill-posed problems","score":0.4665},{"id":"https://openalex.org/keywords/inverse-scattering","display_name":"inverse scattering","score":0.3025},{"id":"https://openalex.org/keywords/tikhonov-regularization","display_name":"Tikhonov regularization","score":0.3158},{"id":"https://openalex.org/keywords/inverse-heat-conduction-problem","display_name":"inverse heat conduction problem","score":0.2968},{"id":"https://openalex.org/keywords/regularization-parameter-selection","display_name":"regularization parameter selection","score":0.3728},{"id":"https://openalex.org/keywords/ill-posed-inverse-problems","display_name":"ill-posed inverse problems","score":0.2055},{"id":"https://openalex.org/keywords/inverse-source-problem","display_name":"inverse source problem","score":0.6332},{"id":"https://openalex.org/keywords/nonlinear-inverse-problems","display_name":"nonlinear inverse problems","score":0.2381},{"id":"https://openalex.org/keywords/stability-estimates","display_name":"stability estimates","score":0.2978},{"id":"https://openalex.org/keywords/dirichlet-to-neumann-map","display_name":"Dirichlet-to-Neumann map","score":0.3089},{"id":"https://openalex.org/keywords/boundary-measurements","display_name":"boundary measurements","score":0.6178},{"id":"https://openalex.org/keywords/inverse-boundary-value-problem","display_name":"inverse boundary value problem","score":0.6476},{"id":"https://openalex.org/keywords/iterative-regularization","display_name":"iterative regularization","score":0.5732},{"id":"https://openalex.org/keywords/linear-inverse-problems","display_name":"linear inverse problems","score":0.3939},{"id":"https://openalex.org/keywords/regularization-methods","display_name":"regularization methods","score":0.353},{"id":"https://openalex.org/keywords/fredholm-integral-equations-of-the-first-kind","display_name":"Fredholm integral equation of the first kind","score":0.3654},{"id":"https://openalex.org/keywords/coefficient-inverse-problem","display_name":"inverse coefficient problem","score":0.5835},{"id":"https://openalex.org/keywords/discrepancy-principle","display_name":"discrepancy principle","score":0.759},{"id":"https://openalex.org/keywords/coefficient-identification","display_name":"coefficient identification","score":0.4376},{"id":"https://openalex.org/keywords/carleman-estimates","display_name":"Carleman estimates","score":0.238},{"id":"https://openalex.org/keywords/inverse-conductivity-problem","display_name":"inverse conductivity problem","score":0.8092},{"id":"https://openalex.org/keywords/cauchy-data","display_name":"Cauchy data","score":0.4644},{"id":"https://openalex.org/keywords/integral-equations-of-the-first-kind","display_name":"integral equations of the first kind","score":0.2585},{"id":"https://openalex.org/keywords/nonlinear-ill-posed-problems","display_name":"nonlinear ill-posed problems","score":0.8488}],"legacy_keywords":"Inverse Problems; Regularization Methods; Ill-Posed Problems; Electrical Impedance Tomography; Calder\u00f3n's Problem; Boundary Value Problem; Inverse Scattering Theory; Tikhonov Regularization; Transmission Eigenvalues; Numerical Methods","ids":{"openalex":"https://openalex.org/T11205","wikipedia":"https://en.wikipedia.org/wiki/Inverse_problem"},"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"},"siblings":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals"},{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology"},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research"},{"id":"https://openalex.org/T11022","display_name":"Spectral Theory in Mathematical Physics"},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics"},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory"},{"id":"https://openalex.org/T11654","display_name":"Advanced Mathematical Physics Problems"},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry"},{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories"},{"id":"https://openalex.org/T13400","display_name":"Mathematical and Theoretical Analysis"},{"id":"https://openalex.org/T14500","display_name":"Advanced Mathematical Theories"}],"works_count":58626,"cited_by_count":688929,"works_api_url":"https://api.openalex.org/works?filter=topics.id:T11205","updated_date":"2026-10-16T03:01:39","created_date":"2024-01-23T15:27:09"}