Accuracy of Lax-Wendroff scheme for discontinuous solutions of convection equations  

作　　者：DING LijuanDepartment of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China 

出　　处：《Chinese Science Bulletin》1997年第24期2047-2051,共5页

摘　　要：IT is known from Brenner, Thomee and Wahlbin that the well-known second-order Lax-Wendroff scheme is stable in L^2, but unstable in L^p, p≠2. Generally speaking, if the initialdata is smooth enough and if a difference scheme, which is stable in L^p for some p, has orderof accuracy μ, then we can expect that the solution of the difference scheme converges to thesolution of the differential equation at the rate of order μ in L^p. But for discontinuous solu-tions, which are essential to hyperbolic equations, the above expectation is not true. Error es-timates for discontinuous solutions not only have theoretical meaning, but also practical value.

关 键 词：Lax-Wendroff scheme modlfled EQUATION DISCONTINUOUS solutions ERROR estimate. 

分 类 号：O151[理学—数学]