# Numerical methods for differential equations

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/numerical-methods-for-differential-equations/

## Facts

| Field | Value |
| --- | --- |
| Citations | 1,139,002 |
| Description | This cluster of papers focuses on the development and analysis of numerical integration methods for solving differential equations, with a particular emphasis on exponential integrators, symplectic methods, time-stepping schemes, and variational integrators. The research covers a wide range of applications including the numerical solution of the Schrödinger equation, Hamiltonian systems, and matrix exponential computations. |
| Domain | Physical Sciences |
| Field | Mathematics |
| OpenAlex ID | https://openalex.org/T11416 |
| Works | 71,510 |

## Topic papers all

- [Free-Matrix-Based Integral Inequality for Stability Analysis of Systems With Time-Varying Delay](https://scholariq.org/papers/free-matrix-based-integral-inequality-for-stability-analysis-of-systems-with/)
- [New Delay-Dependent Stability Criteria and Stabilizing Method for Neutral Systems](https://scholariq.org/papers/new-delay-dependent-stability-criteria-and-stabilizing-method-for-neutral/)
- [Robustness of linear quadratic state feedback designs in the presence of system uncertainty](https://scholariq.org/papers/robustness-of-linear-quadratic-state-feedback-designs-in-the-presence-of-system/)
- [<i>N</i>th-Order Operator Splitting Schemes and Nonreversible Systems](https://scholariq.org/papers/i-n-i-th-order-operator-splitting-schemes-and-nonreversible-systems/)
- [Weighted Compact Scheme for Shock Capturing](https://scholariq.org/papers/weighted-compact-scheme-for-shock-capturing/)
- [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/)
- [A numerical algorithm based on extended cubic B-spline functions for solving time-fractional convection-diffusion-reaction equation with variable coefficients](https://scholariq.org/papers/a-numerical-algorithm-based-on-extended-cubic-b-spline-functions-for-solving/)

## Topic researchers

Showing 12 of 20.

- [S. Choi](https://scholariq.org/researchers/s-choi/)
- [James J. Heckman](https://scholariq.org/researchers/james-j-heckman/)
- [Michael L. Klein](https://scholariq.org/researchers/michael-l-klein/)
- [Stanley Osher](https://scholariq.org/researchers/stanley-osher/)
- [B. F. Schutz](https://scholariq.org/researchers/b-f-schutz/)
- [Berk Hess](https://scholariq.org/researchers/berk-hess/)
- [Saul A. Teukolsky](https://scholariq.org/researchers/saul-a-teukolsky/)
- [George Em Karniadakis](https://scholariq.org/researchers/george-em-karniadakis/)
- [Thomas J.R. Hughes](https://scholariq.org/researchers/thomas-j-r-hughes/)
- [G. A. Prodi](https://scholariq.org/researchers/g-a-prodi/)
- [F. Vetrano](https://scholariq.org/researchers/f-vetrano/)
- [J. M. Conrad](https://scholariq.org/researchers/j-m-conrad/)

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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.