Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations

F. Cavalli (), G. Naldi (), G. Puppo () and M. Semplice ()
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F. Cavalli: Università di Milano, Dipartimento di Matematica
G. Naldi: Università di Milano, Dipartimento di Matematica
G. Puppo: Politecnico di Torino, Dipartimento di Matematica
M. Semplice: Università di Milano, Dipartimento di Matematica

A chapter in Hyperbolic Problems: Theory, Numerics, Applications, 2008, pp 955-962 from Springer

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 nonzero real part.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75712-2_100

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DOI: 10.1007/978-3-540-75712-2_100

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