scholarly journals A High Order Stochastic Asymptotic Preserving Scheme for Chemotaxis Kinetic Models with Random Inputs

2018 ◽  
Vol 16 (4) ◽  
pp. 1884-1915
Author(s):  
Shi Jin ◽  
Hanqing Lu ◽  
Lorenzo Pareschi
Keyword(s):  
Kinetic Models ◽  
High Order ◽  
Asymptotic Preserving ◽  
Random Inputs ◽  
Asymptotic Preserving Scheme

scholarly journals An asymptotic preserving scheme for kinetic models with singular limit

2018 ◽  
Vol 11 (4) ◽  
pp. 735-756 ◽  
Author(s):  
Alina Chertock ◽  
◽  
Changhui Tan ◽  
Bokai Yan ◽  
◽  
...  
Keyword(s):  
Kinetic Models ◽  
Singular Limit ◽  
Asymptotic Preserving ◽  
Asymptotic Preserving Scheme

scholarly journals An Asymptotic Preserving Scheme for Kinetic Models for Chemotaxis Phenomena

2018 ◽  
Vol 9 (2) ◽  
pp. 61-75
Author(s):  
Abdelghani Bellouquid ◽  
Jacques Tagoudjeu
Keyword(s):  
Kinetic Equation ◽  
Kinetic Model ◽  
Small Parameter ◽  
Kinetic Models ◽  
Numerical Approach ◽  
Test Cases ◽  
Equivalent Formulation ◽  
Asymptotic Preserving ◽  
Standard Methods ◽  
Asymptotic Preserving Scheme

Abstract In this paper, we propose a numerical approach to solve a kinetic model of chemotaxis phenomena. This scheme is shown to be uniformly stable with respect to the small parameter, consistent with the uid-di usion limit (Keller-Segel model). Our approach is based on the micro-macro decomposition which leads to an equivalent formulation of the kinetic model that couples a kinetic equation with macroscopic ones. This method is validated by various test cases and compared to other standard methods.

scholarly journals High-Order Asymptotic-Preserving Methods for Fully Nonlinear Relaxation Problems

2014 ◽  
Vol 36 (2) ◽  
pp. A377-A395 ◽  
Author(s):  
Sebastiano Boscarino ◽  
Philippe G. LeFloch ◽  
Giovanni Russo
Keyword(s):  
High Order ◽  
Asymptotic Preserving ◽  
Fully Nonlinear ◽  
Nonlinear Relaxation
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