Conservative front tracking with improved accuracy

Conservative front tracking with improved accuracy
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DOI:
10.1137/s0036142901388627
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发表时间:
2003-01-01
影响因子:
2.9
通讯作者:
Zhao, N
Zhao, N
中科院分区:
数学2区
文献类型:
--
作者:
Glimm, J;Li, XL;Zhao, N

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We propose a fully conservative front tracking algorithm for systems of nonlinear conservation laws. The algorithm improves by one order in its convergence rate over most finite difference schemes. Near tracked discontinuities in the solution, the proposed algorithm has O(Deltax) errors, improving over O(1) errors commonly found near a discontinuity. Numerical experiments which confirm these assertions are presented.