Numerical Experiments for Reaction-Diffusion Equations Using Exponential Integrators

DOI10.1007/978-3-642-00464-3_26zbMath1233.65042OpenAlexW1843168252MaRDI QIDQ3615663

Gabriel Dimitriu, Răzvan Ştefănescu

Publication date: 24 March 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00464-3_26

zbMATH Keywords

numerical integrationtime stepglobal errorexponential integratorsreaction-diffusion modelscomputational timebiochemistrycomparative numerical approach

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Classical flows, reactions, etc. in chemistry (92E20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (3)

Domain-Dependent Stability Analysis of a Reaction–Diffusion Model on Compact Circular Geometries ⋮ Exponential Additive Runge-Kutta Methods for Semi-Linear Differential Equations ⋮ Stability Analysis and Parameter Classification of a Reaction-Diffusion Model on an Annulus

Uses Software

• Expint

Cites Work

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• Exponential time differencing for stiff systems
• Generalized integrating factor methods for stiff PDEs
• High order Runge-Kutta methods on manifolds
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Generalized Runge-Kutta Processes for Stable Systems with Large Lipschitz Constants

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