A collection of codes (in MATLAB & Fortran 77), and examples, for solving reaction-diffusion equations in one and two space dimensions is presented. In areas of the mathematical community spectral methods are used to remove the stiffness associated with the diffusive terms in a reaction-diffusion model allowing explicit high order timestepping to be used. This is particularly valuable for two (and higher) space dimension problems. Our aim here is to provide codes, together with examples, to allow practioners to easily utilize, understand and implement these ideas; we incorporate recent theoretical advances such as exponential time differencing methods and provide timings and error comparisons with other more standard approaches. The examples are chosen from the literature to illustrate points and queries that naturally arise.

Spectral algorithms for reaction-diffusion equations / R.V. Craster, R. Sassi. - Crema : Università degli Studi di Milano, Polo Didattico e di Ricerca di Crema, 2006 Dec.

Spectral algorithms for reaction-diffusion equations

R. Sassi
Ultimo
2006

Abstract

A collection of codes (in MATLAB & Fortran 77), and examples, for solving reaction-diffusion equations in one and two space dimensions is presented. In areas of the mathematical community spectral methods are used to remove the stiffness associated with the diffusive terms in a reaction-diffusion model allowing explicit high order timestepping to be used. This is particularly valuable for two (and higher) space dimension problems. Our aim here is to provide codes, together with examples, to allow practioners to easily utilize, understand and implement these ideas; we incorporate recent theoretical advances such as exponential time differencing methods and provide timings and error comparisons with other more standard approaches. The examples are chosen from the literature to illustrate points and queries that naturally arise.
dic-2006
Algorithms ; Fourier transforms ; MATLAB ; Runge-Kutta methods ; Exponential time differencing
Settore INF/01 - Informatica
Settore MAT/08 - Analisi Numerica
https://arxiv.org/pdf/1810.07431
Working Paper
Spectral algorithms for reaction-diffusion equations / R.V. Craster, R. Sassi. - Crema : Università degli Studi di Milano, Polo Didattico e di Ricerca di Crema, 2006 Dec.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/24276
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