4 edition of On finite-difference approximations and entropy conditions for shocks. found in the catalog.
Published 1976 by Administrator in Courant Institute of Mathematical Sciences, New York University
|Statement||Courant Institute of Mathematical Sciences, New York University|
|Publishers||Courant Institute of Mathematical Sciences, New York University|
|The Physical Object|
|Pagination||xvi, 133 p. :|
|Number of Pages||51|
nodata File Size: 10MB.
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.
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.
, , and , On finite-difference approximations and entropy conditions for shocks, Comm.
Wendroff: Systems of conservation laws.
The existence of discrete shock profiles for difference schemes approximating a system of conservation laws is the major topic studied in this paper.