一类多空间变量双曲型守恒律高阶MmB格式的收敛性  

CONVERGENCE OF A CLASS OF HIGH ORDER ACCURATE MmB SCHEMES FOR CONSERVATION LAWS IN SEVERAL SPACE DIMENSIONS

作　　者：戴嘉尊[1] 成娟[1] 

机构地区：[1]南京航空航天大学

出　　处：《计算数学》1996年第2期141-148,共8页Mathematica Numerica Sinica

摘　　要：一类多空间变量双曲型守恒律高阶ＭｍＢ格式的收敛性戴嘉尊，成娟（南京航空航天大学）ＣＯＮＶＥＲＧＥＮＣＥＯＦＡＣＬＡＳＳＯＦＨＩＧＨＯＲＤＥＲＡＣＣＵＲＡＴＥＭｍＢＳＣＨＥＭＥＳＦＯＲＣＯＮＳＥＲＶＡＴＩＯＮＬＡＷＳＩＮＳＥＶＥＲＡＬＳＰＡＣＥＤＩＭＥ...Abstract In this paper, concerning with the Cauchy problem for nonlinear hyperbolic conservation laws in several space dimensions, we construct a class of high order accurate MmB schemes from three point E-schemes by the flux boiers. By applying the method of entropy measure-valued solutions, the family of approximate solutions defined by the scheme are proven to converge to the unique entropy weak L∞-solution. Furthermore, some numerical experiments on the Riemann problem for the 2D Burgers equation are given and the relatively satisfied result is obtained.

关 键 词：双曲型守恒律 MmB格式 收敛性 初值问题 

分 类 号：O241.82[理学—计算数学]