Numerical conservative solutions of the Hunter–Saxton equation-Reference-Cited by-同舟云学术

Numerical conservative solutions of the Hunter–Saxton equation

Published:2021-01-21 Issue:2 Volume:61 Page:441-471
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Grunert Katrin^ORCID,Nordli Anders^ORCID,Solem Susanne^ORCID

Abstract

AbstractIn the article a convergent numerical method for conservative solutions of the Hunter–Saxton equation is derived. The method is based on piecewise linear projections, followed by evolution along characteristics where the time step is chosen in order to prevent wave breaking. Convergence is obtained when the time step is proportional to the square root of the spatial step size, which is a milder restriction than the common CFL condition for conservation laws.

Funder

Norges Forskningsråd

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

https://link.springer.com/content/pdf/10.1007/s10543-020-00835-y.pdf

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