Topic
Finite difference method
About: Finite difference method is a research topic. Over the lifetime, 21603 publications have been published within this topic receiving 468852 citations. The topic is also known as: Finite-difference methods & FDM.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: The conservation-law form of the inviscid gasdynamic equations has the remarkable property that the nonlinear flux vectors are homogeneous functions of degree one as mentioned in this paper, which readily permits the splitting of flux vectors into subvectors by similarity transformations so that each subvector has associated with it a specified eigenvalue spectrum.
2,225 citations
2,086 citations
Book•
1 Jan 1996TL;DR: In this article, the authors introduce spectral methods via orthogonal functions and finite differences, and compare computational cost of spectral methods with FD and PS methods in polar and spherical geometries.
Abstract: 1. Introduction 2. Introduction to spectral methods via orthogonal functions 3. Introduction to PS methods via finite differences 4. Key properties of PS approximations 5. PS variations/enhancements 6. PS methods in polar and spherical geometries 7. Comparisons of computational cost - FD vs. PS methods 8. Some application areas for spectral methods Appendices.
1,787 citations
TL;DR: In this paper, the authors developed finite difference methods for elliptic equations of the form \[
abla \cdot (\beta (x)) + \kappa (x)u(x) = f(x)) in a region in one or two dimensions.
Abstract: The authors develop finite difference methods for elliptic equations of the form \[
abla \cdot (\beta (x)
abla u(x)) + \kappa (x)u(x) = f(x)\] in a region $\Omega $ in one or two space dimension...
1,608 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 53 |
| 2024 | 136 |
| 2023 | 170 |
| 2022 | 357 |
| 2021 | 733 |
| 2020 | 690 |