Numerical conservative solutions of the Hunter–Saxton equation
نویسندگان
چکیده
Abstract In the article a convergent numerical method for conservative solutions of Hunter–Saxton equation is derived. The based on piecewise linear projections, followed by evolution along characteristics where time step chosen in order to prevent wave breaking. Convergence obtained when proportional square root spatial size, which milder restriction than common CFL condition conservation laws.
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ژورنال
عنوان ژورنال: Bit Numerical Mathematics
سال: 2021
ISSN: ['0006-3835', '1572-9125']
DOI: https://doi.org/10.1007/s10543-020-00835-y