an order of weak convergence of numerical solutions to the entropy solution of a scalar conservation law

Clicks: 152
ID: 219338
2014
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Abstract
The weak convergence of numerical solutions to the exact entropy solution of a scalar conservation law for the Hopf quasilinear equation has been studied. The upwind and the Lax — Friedrichs numerical methods being respectively the first and the second order approximation on spatial variable were used for the study. The linear functional derived from the Kruzhkov entropy solution definition was computed using series of numerical solutions on dichotomic nested grids to get the estimation of the weak convergence order. It has been shown that the order of weak convergence is lower than one, being independent on the order of approximation of the method
Reference Key
erina2014vsnikan Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;R. V. Erina;I. E. Platonova
Journal journal of applied pharmaceutical science
Year 2014
DOI
10.15421/141402
URL
http://model-dnu.dp.ua/index.php/SM/article/view/14
Keywords Keywords not found

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