Numerical conservative solutions of the Hunter–-Saxton equation
Peer reviewed, Journal article
Published version
Åpne
Permanent lenke
https://hdl.handle.net/11250/2756401Utgivelsesdato
2021Metadata
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- Institutt for matematiske fag [2357]
- Publikasjoner fra CRIStin - NTNU [37290]
Sammendrag
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.