most citedA class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations

1 citations · 1 across the 3 of their papers we have counts for

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3 papers

math.NA2021★ 1 cited

A class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations

Juntao Huang, Yong Liu, Yuan Liu +2

In this paper, we propose a class of adaptive multiresolution (also called adaptive sparse grid) ultra-weak discontinuous Galerkin (UWDG) methods for solving some nonlinear dispers…

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…