# Advanced Numerical Methods in Computational Mathematics

**Type:** Topics  
**Canonical URL:** https://scholariq.org/topics/advanced-numerical-methods-in-computational-mathematics-2/

## Facts

| Field | Value |
| --- | --- |
| Citations | 1,218,599 |
| Description | This cluster of papers represents advancements in finite element methods, particularly focusing on their application to fluid-structure interaction problems. The papers cover topics such as discontinuous Galerkin methods, high-order schemes, adaptive mesh refinement, stabilized methods, multiscale modeling, preconditioners, variational methods, and PDE-constrained optimization. |
| Domain | Physical Sciences |
| Field | Engineering |
| OpenAlex ID | https://openalex.org/T10339 |
| Works | 81,723 |

## Topic researchers

Showing 12 of 20.

- [Stanley Osher](https://scholariq.org/researchers/stanley-osher/)
- [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/)
- [William H. Press](https://scholariq.org/researchers/william-h-press/)
- [John W. Tukey](https://scholariq.org/researchers/john-w-tukey/)
- [Gene H. Golub](https://scholariq.org/researchers/gene-h-golub/)
- [Ted Belytschko](https://scholariq.org/researchers/ted-belytschko/)
- [Harald Pfeiffer](https://scholariq.org/researchers/harald-pfeiffer/)
- [J. N. Reddy](https://scholariq.org/researchers/j-n-reddy/)
- [Chi‐Wang Shu](https://scholariq.org/researchers/chi-wang-shu/)
- [Timon Rabczuk](https://scholariq.org/researchers/timon-rabczuk/)

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