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math.NA2020
An adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrodinger equations
Zhanjing Tao, Juntao Huang, Yuan Liu +2
This paper develops a high order adaptive scheme for solving nonlinear Schrodinger equations. The solutions to such equations often exhibit solitary wave and local structures, whic…
math.NA2020
An adaptive multiresolution interior penalty discontinuous Galerkin method for wave equations in second order form
Juntao Huang, Yuan Liu, Wei Guo +2
In this paper, we propose a class of adaptive multiresolution (also called adaptive sparse grid) discontinuous Galerkin (DG) methods for simulating scalar wave equations in second…