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

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Rosa Donat

    (Universitat de València, Doctor Moliner)

  • Inmaculada Higueras

    (Universidad Pública de Navarra, Edificio Departamental de las Encinas)

  • Anna Martinez-Gavara

    (Universidad de Sevilla)

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.

Suggested Citation

  • Rosa Donat & Inmaculada Higueras & Anna Martinez-Gavara, 2010. "Some Theoretical Results About Stability for IMEX Schemes Applied to Hyperbolic Equations with Stiff Reaction Terms," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 277-285, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_29
    DOI: 10.1007/978-3-642-11795-4_29
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