Linearly implicit Runge—Kutta methods for advection—reaction—diffusion equations

By M. Calvo, J. D. Frutos, Julia Novo. 2001

185 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/4d0a49beadb28a256961978c213e7849dd7232e1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Michael L. Minion
2. Anita T. Layton
3. Tobin A. Driscoll
4. Bengt Fornberg
5. Randall J. LeVeque
6. Robert Schaback
7. Chi-Wang Shu
8. Natasha Flyer

In Electrical and Electronic Engineering

1. Anita T. Layton
2. Tobin A. Driscoll
3. Michael L. Minion
4. Chi-Wang Shu
5. Bengt Fornberg
6. Benjamin W. Ong
7. Robert Schaback
8. Natasha Flyer

In Numerical Analysis

1. Anita T. Layton
2. Michael L. Minion
3. Tobin A. Driscoll
4. Benjamin W. Ong
5. Andrew J. Christlieb
6. Randall J. LeVeque
7. Chi-Wang Shu
8. Yan Xu

Citations in the corpus

• A composite Runge-Kutta method for the spectral solution of semilinear PDEs (2002, methodology): “LIRK4 is the five-stage, fourth-order, linearly implicit RK method of [6].”
• Implications of the Choice of Quadrature Nodes for Picard Integral Deferred Corrections Methods for Ordinary Differential Equations (2005, methodology): “This is, among other things, the relevant decomposition for analyzing the stability of an approximation to an advection-diffusion equation based on finite differences and the method of lines, and is considered in [25, 2, 1, 6].”