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SIAMSC
2008
116views more  SIAMSC 2008»
13 years 5 months ago
A New Asymptotic Preserving Scheme Based on Micro-Macro Formulation for Linear Kinetic Equations in the Diffusion Limit
We propose a new numerical scheme for linear transport equations. It is based on a decomposition of the distribution function into equilibrium and non-equilibrium parts. We also us...
Mohammed Lemou, Luc Mieussens
MCS
2008
Springer
13 years 5 months ago
Error analysis of a stochastic immersed boundary method incorporating thermal fluctuations
A stochastic numerical scheme for an extended immersed boundary method which incorporates thermal fluctuations for the simulation of microscopic biological systems consisting of fl...
Paul J. Atzberger, Peter R. Kramer
CSC
2006
13 years 6 months ago
Computing the Drift of Mutant Genes
- We develop a numerical scheme for computing the solution of a generalized version of Fisher's equation. The main idea is to use a modi ed Crank-Nicolson method in order to c...
Miguel Olmos-Gomez, Merced Arriaga-Gutierrez, Vali...
ITP
2010
118views Mathematics» more  ITP 2010»
13 years 9 months ago
Formal Proof of a Wave Equation Resolution Scheme: The Method Error
Abstract. Popular finite difference numerical schemes for the resolution of the one-dimensional acoustic wave equation are well-known to be convergent. We present a comprehensive...
Sylvie Boldo, François Clément, Jean...