Stability for implicit-explicit schemes for non-equilibrium kinetic systems in weighted spaces with symmetrization

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:328

Article

Medina, F. Patricia¹  Peszynska, Malgorzata² 

[1] Worcester Polytech Inst, Dept Math Sci, 100 Inst Rd, Worcester, MA 01609 USA

[2] Oregon State Univ, Dept Math, Corvallis, OR 97331 USA

关键词: Stability for systems;    Kinetic models;    Non-equilibrium;    Adsorption;    Implicit schemes;    Explicit schemes;   

DOI  :  10.1016/j.cam.2017.07.020

来源: Elsevier

【 摘 要 】

We consider kinetic systems, and prove their stability working in weighted spaces in which the systems are symmetric. We prove stability for various explicit and implicit semi discrete and fully discrete schemes. The applications include advective and diffusive transport coupled to the accumulation of immobile components governed by non-equilibrium relationships. We also discuss extensions to nonlinear relationships and multiple species. (C) 2017 Elsevier B.V. All rights reserved.

【 授权许可】

Free