1 citations · 1 across the 4 of their papers we have counts for
7 papers
Exact Total Variation Minimizers as Non-Oscillatory Limiters in High-Order Methods for Conservation Laws
Gabriel P. Langlois, Jerome Darbon, Rongjie Lai +2
High-order numerical methods for conservation laws can generate spurious oscillations near discontinuities. We propose to suppress these oscillations by post-processing the numeric…
Nonnegative Low-Rank Matrix Correction under an Orthogonality Constraint in Conservative Vlasov Simulations
Yue Wu, Stephen Becker, Jingmei Qiu +1
In low-rank numerical methods for Vlasov dynamics, the SVD-type truncation procedure may introduce negative entries into the numerical solution. Such negative values are unphysical…
High Order Numerical Methods Preserving Invariant Domain for Hyperbolic and Related Systems
Kailiang Wu, Xiangxiong Zhang, Chi-Wang Shu
Admissible states in hyperbolic systems and related equations often form a convex invariant domain. Numerical violations of this domain can lead to loss of hyperbolicity, resulting…
Discrete Maximum principle of a high order finite difference scheme for a generalized Allen-Cahn equation
Jie Shen, Xiangxiong Zhang
We consider solving a generalized Allen-Cahn equation coupled with a passive convection for a given incompressible velocity field. The numerical scheme consists of the first order…
Accuracy of spectral element method for wave, parabolic and Schrödinger equations
Hao Li, Daniel Appelö, Xiangxiong Zhang
The spectral element method constructed by the () continuous finite element method with -point Gauss-Lobatto quadrature on rectangular meshes is a popular hig…
Superconvergence of high order finite difference schemes based on variational formulation for elliptic equations
Hao Li, Xiangxiong Zhang
The classical continuous finite element method with Lagrangian basis reduces to a finite difference scheme when all the integrals are replaced by the Gaus…