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math.NA2019★ 1 cited
Superconvergence of ultra-weak discontinuous Galerkin methods for the linear Schrödinger equation in one dimension
Anqi Chen, Yingda Cheng, Yong Liu +1
We analyze the superconvergence properties of ultra-weak discontinuous Galerkin (UWDG) methods with various choices of flux parameters for one-dimensional linear Schrödinger equati…
math.NA2018★ 1 cited
Sparse Grid Central Discontinuous Galerkin Method for Linear Hyperbolic Systems in High Dimensions
Zhanjing Tao, Anqi Chen, Mengping Zhang +1
In this paper, we develop sparse grid central discontinuous Galerkin (CDG) scheme for linear hyperbolic systems with variable coefficients in high dimensions. The scheme combines t…
math.NA2018★ 1 cited
An Ultra-Weak Discontinuous Galerkin Method for Schrödinger Equation in One Dimension
Anqi Chen, Fengyan Li, Yingda Cheng
In this paper, we develop an ultra-weak discontinuous Galerkin (DG) method to solve the one-dimensional nonlinear Schrödinger equation. Stability conditions and error estimates are…