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Numerical conservative solutions of the Hunter–-Saxton equation

Permanent link
https://hdl.handle.net/10037/21965
DOI
https://doi.org/10.1007/s10543-020-00835-y
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Date
2021-01-21
Type
Journal article
Tidsskriftartikkel
Peer reviewed

Author
Grunert, Katrin; Nordli, Anders Samuelsen; Solem, Susanne
Abstract
In 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.
Publisher
Springer Nature
Citation
Grunert K, Nordli AS, Solem S. Numerical conservative solutions of the Hunter–-Saxton equation. BIT Numerical Mathematics. 2021;61:441-471
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  • Artikler, rapporter og annet (automasjon og prosessteknologi) [172]
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