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

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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.

论文关键词:Stability for systems,Kinetic models,Non-equilibrium,Adsorption,Implicit schemes,Explicit schemes

论文评审过程:Received 25 April 2017, Revised 24 July 2017, Available online 3 August 2017, Version of Record 18 August 2017.

论文官网地址:https://doi.org/10.1016/j.cam.2017.07.020