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Numerical Solution of Time-Dependent
Advection-Diffusion-Reaction Equations
| Speaker: |
Mirela Darau
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| Date: |
Wednesday November 26, 2008 |
| Title: |
Runge-Kutta-Chebyshev
Methods for the Advection-Diffusion-Reaction Equation
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Abstract
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Parabolic problems may give rise to
stiff equations for which standard explicit methods have a severe
stability constraint, while unconditionally stable implicit schemes may
be too costly in higher space dimensions.
We look for stability polynomials with a stability region as large as
possible. Based on these polynomials we construct explicit
Runge-Kutta-type methods and test these on the
advection-diffusion-reaction equation.
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