Increasing efficiency through optimal RK time integration of diffusion equations
Numerical Analysis
2007-05-23 v1
Abstract
The application of Runge-Kutta schemes designed to enjoy a large region of absolute stability can significantly increase the efficiency of numerical methods for PDEs based on a method of lines approach. In this work we investigate the improvement in the efficiency of the time integration of relaxation schemes for degenerate diffusion problems, using SSP Runge-Kutta schemes and computing the maximal CFL coefficients. This technique can be extended to other PDEs, linear and nonlinear, provided the space operator has eigenvalues with a non-zero real part.
Keywords
Cite
@article{arxiv.math/0612239,
title = {Increasing efficiency through optimal RK time integration of diffusion equations},
author = {Fausto Cavalli and Giovanni Naldi and Gabriella Puppo and Matteo Semplice},
journal= {arXiv preprint arXiv:math/0612239},
year = {2007}
}
Comments
7 pages, 1 figure, 2 tables