The Dissipative Spectral Methods for the First Order Linear Hyperbolic Equations

作     者：Lian Chen Zhongqiang Zhang Heping Ma 

作者机构：Department of MathematicsCollege of SciencesShanghai UniversityShanghai200444China Division of Applied MathematicsBrown UniversityProvidenceRhode Island02912USA 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2012年第5卷第3期

页      面：493-508页

核心收录：

学科分类：0820[工学-石油与天然气工程] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 0701[理学-数学] 0811[工学-控制科学与工程] 0812[工学-计算机科学与技术（可授工学、理学学位）] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China(11171209) Leading Academic Discipline Project of Shanghai Municipal Education Commission(J50101) Specialized Research Fund for the Doctoral Program of Higher Education(20060280010) Graduate Innovative Foundation of Shanghai University(SHUCX091048) 

主　　题：First order hyperbolic equation dissipative spectral method error estimate 

摘      要：In this paper,we introduce the dissipative spectral methods(DSM)for the first order linear hyperbolic equations in one ***,we consider the Fourier DSM for periodic problems and the Legendre DSM for equations with the Dirichlet boundary *** error estimates of the methods are shown to be quasioptimal for variable-coefficients *** results are given to verify high accuracy of the DSM and to compare the proposed schemes with some high performance methods,showing some superiority in long-term integration for the periodic case and in dealing with limited smoothness near or at the boundary for the Dirichlet case.