Increasing efficiency through optimal RK time integration of diffusion equations

Details Increasing efficiency through optimal RK time integration of diffusion equations Increasing efficiency through optimal RK time integration of diffusion equations

2006-12-09

arxiv.org/abs/math/0612239v1

Mathematics

Numerical Analysis

7 pages, 1 figure, 2 tables

Scientific paper

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.

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