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math.NA2025
A Gas-Kinetic Scheme for Maxwell Equations
Zhigang Pu, Wenpei Long, Kun Xu
The Gas-Kinetic Scheme (GKS), widely used in computational fluid dynamics for simulating hypersonic and other complicated flow phenomena, is extended in this work to electromagneti…
math.NA2025
Stability of the first-order unified gas-kinetic scheme based on a linear kinetic model
Tuowei Chen, Kun Xu
The unified gas-kinetic scheme (UGKS) is becoming increasingly popular for multiscale simulations in all flow regimes. This paper provides the first analytical study on the stabili…