ON DISCONTINUOUS SOLUTIONS OF HYPERBOLIC-EQUATIONS

被引:6
作者
ECKHOFF, KS
机构
[1] Department of Mathematics, University of Bergen, N-5007 Bergen
关键词
D O I
10.1016/S0045-7825(94)80013-8
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A modified Fourier method which is applicable to numerical simulations of discontinuous solutions of hyperbolic equations is presented. Truncated Fourier series representations are de-truncated at every timestep by utilising step-functions in the reconstruction of the discontinuous solutions. The de-truncated expansions are used to eliminate the numerical dispersion and diffusion which normally ruin the discontinuous solutions in a few timesteps when traditional Fourier methods are applied.
引用
收藏
页码:103 / 112
页数:10
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