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On finite-difference approximations and entropy conditions for shocks.

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Published by Administrator in Courant Institute of Mathematical Sciences, New York University

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        StatementCourant Institute of Mathematical Sciences, New York University
        PublishersCourant Institute of Mathematical Sciences, New York University
        Classifications
        LC Classifications1976
        The Physical Object
        Paginationxvi, 133 p. :
        Number of Pages51
        ID Numbers
        ISBN 10nodata
        Series
        1nodata
        2
        3

        nodata File Size: 10MB.


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On finite-difference approximations and entropy conditions for shocks. by Courant Institute of Mathematical Sciences, New York University Download PDF EPUB FB2


A comparison study on the commonly used solution schemes of one-dimensional gas flow in IC engine manifolds, i. Lectures given in a Seminar held during spring semester at the Courant Institute, New York University, New York, 1977.

Riemann Solvers, The Entropy Condition, and Difference Approximations on JSTOR

TARTAR, "Some relations between non expansive and order preserving mappings. Japan 26 1974124—160.Hyperbolic systems of conservation laws and the mathematical theory of shock waves, Society for Industrial and Applied Mathematics, Philadelphia, Pa. Furthermore, there is no dissipative mechanism in the relaxation system.On the existence of discontinuous solutions of the Cauchy problem for quasi-linear first-order equations, Proc.

STRANG, "On the construction and comparison of difference schemes," SIAM J. andThe method of fractional steps for conservation laws, Numer. CRANDALL, "The semigroup approach to first order quasilinear equations in several space variables," Israel J. andA convergence theorem of nonlinear semigroups and its application to first order quasilinear equations, J.

Convergence can be obtained either by an explicit regularization of the functional, that provides control of the L 2 norm, or by properly choosing the finite element spaces, providing implicit control of the L 2 norm.