78 citations · 734 across the 47 of their papers we have counts for
8 papers · 1 filter
An explicit high-order single-stage single-step positivity-preserving finite difference WENO method for the compressible Euler equations
David C. Seal, Qi Tang, Zhengfu Xu +1
In this work we construct a high-order, single-stage, single-step positivity-preserving method for the compressible Euler equations. Space is discretized with the finite difference…
High order operator splitting methods based on an integral deferred correction framework
Andrew J. Christlieb, Yuan Liu, Zhengfu Xu
Integral deferred correction (IDC) methods have been shown to be an efficient way to achieve arbitrary high order accuracy and possess good stability properties. In this paper, we…
A New Family of Regularized Kernels for the Harmonic Oscillator
Benjamin Ong, Andrew Christlieb, Bryan Quaife
In this paper, a new two-parameter family of regularized kernels is introduced, suitable for applying high-order time stepping to N-body systems. These high-order kernels are deriv…
Positivity-Preserving Finite Difference WENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations
Andrew J. Christlieb, Yuan Liu, Qi Tang +1
In this paper, we utilize the maximum-principle-preserving flux limiting technique, originally designed for high order weighted essentially non-oscillatory (WENO) methods for scala…
Numerical Study of the Two-Species Vlasov-Ampère System: Energy-Conserving Schemes and the Current-Driven Ion-Acoustic Instability
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
In this paper, we propose energy-conserving Eulerian solvers for the two-species Vlasov-Ampère (VA) system and apply the methods to simulate current-driven ion-acoustic instability…
Pressure-Driven Evaporative Cooling in Atom Guides
Spencer E. Olson, Georg Raithel, Andrew J. Christlieb
We study steady-state evaporation in an atom guide via Monte Carlo simulations. The evaporation surface follows a specific profile as a function of longitudinal guide location. We…
Energy-conserving Discontinuous Galerkin Methods for the Vlasov-Maxwell System
Yingda Cheng, Andrew J. Christlieb, Xinghui Zhong
In this paper, we generalize the idea in our previous work for the Vlasov-Ampère (VA) system \cite{cheng_va} and develop energy-conserving discontinuous Galerkin (DG) methods for t…
High Order Maximum Principle Preserving Semi-Lagrangian Finite Difference WENO schemes for the Vlasov Equation
Tao Xiong, Jing-Mei Qiu, Zhengfu Xu +1
In this paper, we propose the parametrized maximum principle preserving (MPP) flux limiter, originally developed in [Z. Xu, Math. Comp., (2013), in press], to the semi- Lagrangian…