Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes
Geometric Quasilinearization Framework for Analysis and Design of Bound-Preserving Schemes
Solutions to many partial differential equations satisfy certain bounds or constraints. For example, the density and pressure are positive for equations of fluid dynamics, and in the relativistic case the fluid velocity is upper bounded by the speed of light, etc. As widely realized, it is crucial to develop bound-preserving …