LOW-REGULARITY INTEGRATORS FOR NONLINEAR DIRAC EQUATIONS

首页 > 成果 > 详情

认领

导出

Link by 万方学术期刊

反馈

作者信息关键词期刊信息基础信息归属信息摘要

成果类型：

期刊论文

作者：

Schratz, Katharina*;Wang, Yan;Zhao, Xiaofei

通讯作者：

Schratz, Katharina

作者机构：

[Schratz, Katharina] Heriot Watt Univ, 4 Pl Jussieu, Paris, France.

[Schratz, Katharina] Sorbonne Univ, LJLL UMR 7598, UPMC, 4 Pl Jussieu, Paris, France.

[Wang, Yan] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.

[Zhao, Xiaofei] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China.

[Zhao, Xiaofei] Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Peoples R China.

通讯机构：

[Schratz, Katharina] H

[Schratz, Katharina] S

Heriot Watt Univ, 4 Pl Jussieu, Paris, France.

Sorbonne Univ, LJLL UMR 7598, UPMC, 4 Pl Jussieu, Paris, France.

语种：

英文

关键词：

Nonlinear Dirac equation;Dirac-Poisson system;exponential-type integrator;low regularity;optimal convergence;splitting schemes

期刊：

MATHEMATICS OF COMPUTATION

ISSN：

0025-5718

年：

2021

卷：

期：

327

页码：

189-214

DOI：

10.1090/mcom/3557

基金类别：

European Research Council (ERC) under the European UnionEuropean Research Council (ERC) [850941]; Fundamental Research Funds for the Central UniversitiesFundamental Research Funds for the Central Universities [CCNU19TD010]; Natural Science Foundation of Hubei ProvinceNatural Science Foundation of Hubei Province [2019CFA007]; NSFCNational Natural Science Foundation of China (NSFC) [11901440]

机构署名：

本校为其他机构

院系归属：

数学与统计学学院

摘要：

In this work, we consider the numerical integration of the nonlinear Dirac equation and the Dirac-Poisson system (NDEs) under rough initial data. We propose an ultra low-regularity integrator (ULI) for solving the NDEs which enables optimal first-order time convergence in H-r for solutions in H-r, i.e., without requiring any additional regularity on the solution. In contrast to classical methods, a ULI overcomes the numerical loss of derivatives and is therefore more efficient and accurate for approximating low regular solutions. Convergence theorems and the extension of a ULI to second order ...

反馈

产权有误：本人成果被他人认领

数据有误：数据基本信息有误

归属有误：成果的院系归属、机构署名归属有误

其他原因：

验证码：

看不清楚，换一个

确定

取消

成果认领

标题：

用户	作者	通讯作者	--
	请选择	请选择	--

确定

取消

LOW-REGULARITY INTEGRATORS FOR NONLINEAR DIRAC EQUATIONS

反馈

成果认领

提示

该栏目需要登录且有访问权限才可以访问