| ON THE CONVERGENCE OF IMPLICIT DIFFERENCE SCHEMES FOR HYPERBOLIC CONSERVATION LAWS |
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| 作者姓名： | Hua-zhong Tang |
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| 作者单位： | Hua-zhong Tang (School of Mathematical Sciences，Peking University，Beijing 100871，China) Hua-mo Wu (LSEC，ICMSEC，Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Beijing 100080，China) |
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| 基金项目： | the Special Funds for Major State Basic Research Projects of China (No.G1999032801)，National Natural Science Foundation of C |
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| 摘 要： | 1. IntroductionWe are are interested in the fOllowing Cauchy problem for scalar conservation lawswhere the initial data uo E BV(R) and the flux function f 6 C'(n).It is well known that this problem may not always have a smooth global solution even ifthe i…
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ON THE CONVERGENCE OF IMPLICIT DIFFERENCE SCHEMES FOR HYPERBOLIC CONSERVATION LAWS |
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| Hua-zhong Tang.ON THE CONVERGENCE OF IMPLICIT DIFFERENCE SCHEMES FOR HYPERBOLIC CONSERVATION LAWS[J].Journal of Computational Mathematics,2002(2). |
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| Authors: | Hua-zhong Tang |
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| Abstract: | This paper is to treat implicit difference approximations to hyperbolic conservation laws with non-convex flux. The convergence of the approximate solution toward the entropy solution is established for the general weighted implicit difference schemes, which include some well-known implicit and explicit difference schemes. |
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| Keywords: | Conservation laws weighted implicit schemes entropy solution |
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