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- W42340191 abstract "In this article, we first introduce aLax-Friedrichs type finite dierence method to compute the $ mathrm{L}$ -solution, following its original definition recently proposed by the second auther in(12) using level sets. We then generalize our numerical methods to compute the proper viscosity solution proposed in (11) for amore general class of HJ equations that includes conservation laws. We couple our numerical methods with asingular diusive term of essential im- portance. With this singular viscosity, our numerical methods do not require the divergence structure of equations and do apply to more general equations developing shocks other than conservation laws. These numerical methods are generalized to higher order accuracy using WENO Local Lax-Friedrichs methods (17). We verify that" @default.
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- W42340191 date "2001-01-01" @default.
- W42340191 modified "2023-09-27" @default.
- W42340191 title "Numerical Methods for Computing Discontinuous" @default.
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