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6 papers · 2 filters
A Few Benchmark Test Cases for Higher-order Euler Solvers
Liang Pan, Jiequan Li, Kun Xu
There have been great efforts on the development of higher-order numerical schemes for compressible Euler equations. The traditional tests mostly targeting on the strong shock inte…
Optimal Error Estimates of Conservative Local Discontinuous Galerkin Method for Nonlinear Schrödinger Equation
Jialin Hong, Lihai Ji, Zhihui Liu
In this paper, we propose a conservative local discontinuous Galerkin method for one-dimensional nonlinear Schrödinger equation. By using special upwind-biased numerical fluxes, we…
Parareal algorithms applied to stochastic differential equations with conserved quantities
Liying Zhang, Weien Zhou, Lihai ji
In this papers, we couple the parareal algorithm with projection methods of the trajectory on a specific manifold, defined by the preservation of some conserved quantities of the d…
Computing log-likelihood and its derivatives for restricted maximum likelihood methods
Shengxin Zhu
Recent large scale genome wide association analysis involves large scale linear mixed models. Quantifying (co)-variance parameters in the mixed models with a restricted maximum lik…
Computing Overlaps of Two Quadrilateral Mesh Of the Same Connectivity
Xihua Xu, Shengxin Zhu
An exact conservative remapping scheme requires overlaps between two meshes and a reconstruction scheme on the old cells (Lagrangian mesh). While the are intensive discussion on re…
An Efficient and Accurate Two-Stage Fourth-order Gas-kinetic Scheme for the Navier-Stokes Equations
Liang Pan, Kun Xu, Qibing Li +1
For computational fluid dynamics (CFD), the generalized Riemann problem (GRP) solver and the gas-kinetic kinetic scheme (GKS) provide a time-accurate flux function starting from a…