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典型文献
An Adaptive Multiresolution Ultra-weak Discontinuous Galerkin Method for Nonlinear Schr?dinger Equations
文献摘要:
This paper develops a high-order adaptive scheme for solving nonlinear Schr?dinger equa-tions.The solutions to such equations often exhibit solitary wave and local structures,which make adaptivity essential in improving the simulation efficiency.Our scheme uses the ultra-weak discontinuous Galerkin(DG)formulation and belongs to the framework of adaptive multiresolution schemes.Various numerical experiments are presented to demon-strate the excellent capability of capturing the soliton waves and the blow-up phenomenon.
文献关键词:
作者姓名:
Zhanjing Tao;Juntao Huang;Yuan Liu;Wei Guo;Yingda Cheng
作者机构:
School of Mathematics,Jilin University,Jilin 130012,China;Department of Mathematics,Michigan State University,East Lansing,MI 48824,USA;Department of Mathematics,Statistics and Physics,Wichita State University,Wichita,KS 67260,USA;Department of Mathematics and Statistics,Texas Tech University,Lubbock,TX 70409,USA;Department of Mathematics,Department of Computational Mathematics,Science and Engineering,Michigan State University,East Lansing,MI 48824,USA
引用格式:
[1]Zhanjing Tao;Juntao Huang;Yuan Liu;Wei Guo;Yingda Cheng-.An Adaptive Multiresolution Ultra-weak Discontinuous Galerkin Method for Nonlinear Schr?dinger Equations)[J].应用数学与计算数学学报,2022(01):60-83
A类:
Multiresolution
B类:
An,Adaptive,Ultra,weak,Discontinuous,Galerkin,Method,Nonlinear,Schr,dinger,Equations,This,paper,develops,high,order,adaptive,solving,nonlinear,solutions,such,equations,often,exhibit,solitary,local,structures,which,make,adaptivity,essential,improving,simulation,efficiency,Our,uses,ultra,discontinuous,DG,formulation,belongs,framework,multiresolution,schemes,Various,numerical,experiments,are,presented,demon,strate,excellent,capability,capturing,soliton,waves,blow,up,phenomenon
AB值:
0.74729
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