# Mathematical and Theoretical Analysis

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/mathematical-and-theoretical-analysis/

## Facts

| Field | Value |
| --- | --- |
| Citations | 258,202 |
| Description | This cluster of papers explores the applications of generalized functions, infinite and infinitesimal numbers, and non-Archimedean mathematics in various mathematical and physical contexts. It covers topics such as Colombeau algebras, numerical computations, nonlinear models, microlocal analysis, topological structures, algebraic theory, and nonstandard analysis. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T13400 |
| Works | 37,619 |

## Topic papers all

- [Fractional Calculus and Its Applications in Applied Mathematics and Other Sciences](https://scholariq.org/papers/fractional-calculus-and-its-applications-in-applied-mathematics-and-other/)
- [Solving the fractional nonlinear Klein-Gordon equation by means of the homotopy analysis method](https://scholariq.org/papers/solving-the-fractional-nonlinear-klein-gordon-equation-by-means-of-the-homotopy/)

## Topic researchers

Showing 12 of 20.

- [Thomas J.R. Hughes](https://scholariq.org/researchers/thomas-j-r-hughes/)
- [Steven Weinberg](https://scholariq.org/researchers/steven-weinberg/)
- [Airlie J. McCoy](https://scholariq.org/researchers/airlie-j-mccoy/)
- [Dumitru Bǎleanu](https://scholariq.org/researchers/dumitru-baleanu/)
- [Frank Wilczek](https://scholariq.org/researchers/frank-wilczek/)
- [James A. Yorke](https://scholariq.org/researchers/james-a-yorke/)
- [Jerrold E. Marsden](https://scholariq.org/researchers/jerrold-e-marsden/)
- [R. T. Rockafellar](https://scholariq.org/researchers/r-t-rockafellar/)
- [Ji‐Huan He](https://scholariq.org/researchers/ji-huan-he/)
- [Frank H. Stillinger](https://scholariq.org/researchers/frank-h-stillinger/)
- [H. M. Srivastava](https://scholariq.org/researchers/h-m-srivastava/)
- [Christopher A. Sims](https://scholariq.org/researchers/christopher-a-sims/)

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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.