Some Theoretical Results About Stability for IMEX Schemes Applied to Hyperbolic Equations with Stiff Reaction Terms

Rosa Donat (), Inmaculada Higueras () and Anna Martinez-Gavara ()
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Rosa Donat: Universitat de València, Doctor Moliner
Inmaculada Higueras: Universidad Pública de Navarra, Edificio Departamental de las Encinas
Anna Martinez-Gavara: Universidad de Sevilla

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 277-285 from Springer

Abstract: Abstract In this work we are concerned with certain numerical difficulties associated to the use of high order Implicit–Explicit Runge–Kutta (IMEX-RK) schemes in a direct discretization of balance laws with stiff source terms. We consider a simple model problem, introduced by LeVeque and Yee in [J. Comput. Phys 86 (1990)], as the basic test case to explore the ability of IMEX-RK schemes to produce and maintain non-oscillatory reaction fronts.

Keywords: Convective Derivative; Euler Step; Simple Model Problem; IMEX Scheme; IMEX Method (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_29

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DOI: 10.1007/978-3-642-11795-4_29

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