Approximate Solutions of Nonlinear Conservation Laws
نویسنده
چکیده
This is a summary of ve lectures delivered at the CIME course on "Advanced Numerical Approximation of Nonlinear Hyperbolic Equations" held in Cetraro, Italy, on June 1997. Following the introductory lecture I | which provides a general overview of approximate solution to nonlinear conservation laws, the remaining lectures deal with the speciics of four complementing topics: Lecture II. Finite-diierence methods { non-oscillatory central schemes; Lecture III. Spectral approximations { the Spectral Viscosity method; Lecture IV. Convergence rate estimates { a Lip 0 convergence theory; Lecture V. Kinetic approximations { regularity of kinetic formulations.
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