High order strong stability preserving time discretizations
Strong stability preserving (SSP) high order time discretizations were developed to ensure
nonlinear stability properties necessary in the numerical solution of hyperbolic partial …
nonlinear stability properties necessary in the numerical solution of hyperbolic partial …
High order weighted essentially nonoscillatory schemes for convection dominated problems
CW Shu - SIAM review, 2009 - SIAM
High order accurate weighted essentially nonoscillatory (WENO) schemes are relatively new
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …
but have gained rapid popularity in numerical solutions of hyperbolic partial differential …
Essentially non-oscillatory and weighted essentially non-oscillatory schemes
CW Shu - Acta Numerica, 2020 - cambridge.org
Essentially non-oscillatory (ENO) and weighted ENO (WENO) schemes were designed for
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …
solving hyperbolic and convection–diffusion equations with possibly discontinuous solutions …
Implicit–explicit schemes for BGK kinetic equations
In this work a new class of numerical methods for the BGK model of kinetic equations is
presented. In principle, schemes of any order of accuracy in both space and time can be …
presented. In principle, schemes of any order of accuracy in both space and time can be …
[HTML][HTML] Numerical symmetry-preserving techniques for low-dissipation shock-capturing schemes
Modern applications of computational fluid dynamics involve complex interactions across
scales such as shock interactions with turbulent structures and multiphase interfaces. Such …
scales such as shock interactions with turbulent structures and multiphase interfaces. Such …
High order numerical methods for the space non-homogeneous Boltzmann equation
In this paper we present accurate methods for the numerical solution of the Boltzmann
equation of rarefied gas. The methods are based on a time splitting technique. The transport …
equation of rarefied gas. The methods are based on a time splitting technique. The transport …
A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations
We are interested in the deterministic computation of the transients for the Boltzmann-
Poisson system describing electron transport in semiconductor devices. The main difficulty …
Poisson system describing electron transport in semiconductor devices. The main difficulty …
Strong stability preserving integrating factor Runge--Kutta methods
Strong stability preserving (SSP) Runge--Kutta methods are often desired when evolving in
time problems that have two components that have very different time scales. Where the …
time problems that have two components that have very different time scales. Where the …
Nonoscillatory interpolation methods applied to Vlasov-based models
We demonstrate the ability of nonoscillatory interpolation strategies for solving efficiently the
transport phase in kinetic systems with applications to charged particle transport in plasmas …
transport phase in kinetic systems with applications to charged particle transport in plasmas …
Giant plasmon instability in a dual-grating-gate graphene field-effect transistor
We study the instability of plasmons in a dual-grating-gate graphene field-effect transistor
induced by dc current injection using self-consistent simulations with the Boltzmann …
induced by dc current injection using self-consistent simulations with the Boltzmann …