THEORY AND NUMERICAL APPROXIMATIONS FOR A NONLINEAR 1+1 DIRAC SYSTEM

被引：16
|
作者：
Bournaveas, Nikolaos [1 ]
Zouraris, Georgios E. [2 ]
机构：
[1] Univ Edinburgh, Dept Math, JCMB, Edinburgh EH9 3JZ, Midlothian, Scotland
[2] Univ Crete, Dept Math, Iraklion 71409, Crete, Greece
来源：
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2012年 / 46卷 / 04期
关键词：
Existence; uniqueness; finite difference methods; error estimates; ONE SPACE DIMENSION; QUADRATIC NONLINEARITIES; GALERKIN METHODS; GLOBAL-SOLUTIONS; WELL-POSEDNESS; EQUATION; SCHEMES; MODEL;
D O I：
10.1051/m2an/2011071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a nonlinear Dirac system in one space dimension with periodic boundary conditions. First, we discuss questions on the existence and uniqueness of the solution. Then, we propose an implicit-explicit finite difference method for its approximation, proving optimal order a priori error estimates in various discrete norms and showing results from numerical experiments.
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页码：841 / 874
页数：34
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