# Numerical methods in inverse problems

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/numerical-methods-in-inverse-problems/

## Facts

| Field | Value |
| --- | --- |
| Citations | 623,169 |
| 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, Calderón's problem, boundary value problems, inverse scattering theory, Tikhonov regularization, transmission eigenvalues, and numerical methods. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T11205 |
| Works | 58,922 |

## Topic papers all

- [On the Stability and Accuracy of Least Squares Approximations](https://scholariq.org/papers/on-the-stability-and-accuracy-of-least-squares-approximations/)
- [MRI findings including gadolinium-enhanced dynamic studies of malignant, mixed mesodermal tumors of the uterus: differentiation from endometrial carcinomas](https://scholariq.org/papers/mri-findings-including-gadolinium-enhanced-dynamic-studies-of-malignant-mixed/)
- [Integral Representations for Harmonic Functions of Infinite Order in a Cone](https://scholariq.org/papers/integral-representations-for-harmonic-functions-of-infinite-order-in-a-cone/)
- [Integral representations for the solutions of infinite order of the stationary Schrödinger equation in a cone](https://scholariq.org/papers/integral-representations-for-the-solutions-of-infinite-order-of-the-stationary/)
- [INTEGRAL REPRESENTATIONS OF GENERALIZED HARMONIC FUNCTIONS](https://scholariq.org/papers/integral-representations-of-generalized-harmonic-functions/)
- [Error analysis of the kernel regularized regression based on refined convex losses and RKBSs](https://scholariq.org/papers/error-analysis-of-the-kernel-regularized-regression-based-on-refined-convex/)
- [Almost sure scattering for defocusing energy critical Hartree equation on $\R^5$](https://scholariq.org/papers/almost-sure-scattering-for-defocusing-energy-critical-hartree-equation-on-r-5/)

## Topic researchers

Showing 12 of 20.

- [Karl Friston](https://scholariq.org/researchers/karl-friston/)
- [Trevor Hastie](https://scholariq.org/researchers/trevor-hastie/)
- [David L. Donoho](https://scholariq.org/researchers/david-l-donoho/)
- [Thomas Brox](https://scholariq.org/researchers/thomas-brox/)
- [Stephen Boyd](https://scholariq.org/researchers/stephen-boyd/)
- [Stanley Osher](https://scholariq.org/researchers/stanley-osher/)
- [Emmanuel J. Candès](https://scholariq.org/researchers/emmanuel-j-candes/)
- [Thomas M. Cover](https://scholariq.org/researchers/thomas-m-cover/)
- [John W. Tukey](https://scholariq.org/researchers/john-w-tukey/)
- [Gene H. Golub](https://scholariq.org/researchers/gene-h-golub/)
- [Leon O. Chua](https://scholariq.org/researchers/leon-o-chua/)
- [Aleksandr Y. Aravkin](https://scholariq.org/researchers/aleksandr-y-aravkin/)

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Source: ScholarIQ — public research metadata, principally OpenAlex. See https://scholariq.org/sources/ for provenance and https://scholariq.org/methodology/ for what these figures mean.