Some upwinding techniques for finite element approximations of convection-diffusion equations.
R.E. Bank, J.F. Bürgler, ... (1990/91)
Numerische Mathematik
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Displaying similar documents to “Analysis of a Non-Linear Difference scheme in Reaction-Diffusion.”
Some upwinding techniques for finite element approximations of convection-diffusion equations.
Uniformly Convergent Difference Schemes for Singularly Perturbed Parabolic Diffusion-Convection Problems Without Turning Points.
Eugene O'Riordan, Martin Stynes (1987)
Numerische Mathematik
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Numerical Methods for Reaction-Diffusion Problems with Non-Differentiable Kinetics.
A.K. Aziz, A.B. Stephens, Manil Suri (1988)
Numerische Mathematik
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Influence of linearization to the solution of Fisher's equation in a plane
Chocholatý, Pavol
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Reaction-diffusion equations arise as mathematical models in a series of important applications. Some difference schemes to the solution of the Fisher's equation are presented.
Explicit Difference Approximations of Du Fort-Frankel Type of the One-Dimensional Diffusion Equation.
G.R. Joubert (1971/72)
Numerische Mathematik
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Diffusion Limit of the Lorentz Model: Asymptotic Preserving Schemes
Christophe Buet, Stéphane Cordier, Brigitte Lucquin-Desreux, Simona Mancini (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
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This paper deals with the diffusion limit of a kinetic equation where the collisions are modeled by a Lorentz type operator. The main aim is to construct a discrete scheme to approximate this equation which gives for any value of the Knudsen number, and in particular at the diffusive limit, the right discrete diffusion equation with the same value of the diffusion coefficient as in the continuous case. We are also naturally interested with a discretization which can be used with few...