Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations

Fausto Cavalli; G. Naldi; G. Puppo; M. Semplice

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

Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations

Fausto Cavalli, G. Naldi, G. Puppo, M. Semplice

Università Cattolica del Sacro Cuore

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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.

Original language	English
Title of host publication	Hyperbolic Problems: Theory, Numerics, Applications
Pages	955-962
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-540-75712-2_100
Publication status	Published - 2008
Event	International Conference on Hyperbolic Problems - Lyon Duration: 17 Jul 2006 → 21 Jul 2006

Conference

Conference	International Conference on Hyperbolic Problems
City	Lyon
Period	17/7/06 → 21/7/06

Keywords

Diffusion equations

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

Cite this

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title = "Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations",

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.",

keywords = "Diffusion equations, Diffusion equations",

author = "Fausto Cavalli and G. Naldi and G. Puppo and M. Semplice",

year = "2008",

doi = "10.1007/978-3-540-75712-2\_100",

language = "English",

isbn = "978-3-540-75711-5",

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note = "International Conference on Hyperbolic Problems ; Conference date: 17-07-2006 Through 21-07-2006",

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T1 - Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations

AU - Cavalli, Fausto

AU - Naldi, G.

AU - Puppo, G.

AU - Semplice, M.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Diffusion equations

UR - http://hdl.handle.net/10807/85649

U2 - 10.1007/978-3-540-75712-2_100

DO - 10.1007/978-3-540-75712-2_100

M3 - Conference contribution

SN - 978-3-540-75711-5

SP - 955

EP - 962

BT - Hyperbolic Problems: Theory, Numerics, Applications

T2 - International Conference on Hyperbolic Problems

Y2 - 17 July 2006 through 21 July 2006

ER -

Increasing Efficiency Through Optimal RK Time Integration of Diffusion Equations

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Keywords

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