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A numerical method for the first‐order wave equation with discontinuous initial data
Author(s) -
Efraimsson Gunilla
Publication year - 1998
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199805)14:3<353::aid-num5>3.0.co;2-l
Subject(s) - mathematics , classification of discontinuities , euler equations , discontinuity (linguistics) , partial differential equation , backward euler method , wave equation , computation , euler method , mathematical analysis , euler's formula , numerical analysis , algorithm
We introduce a method, constructed such that numerical solutions of the wave equation are well behaved when the solutions also contain discontinuities. The wave equation serves as a model problem for the Euler equations when the solution contains a contact discontinuity. Numerical computations of linear equations and the Euler equations in one and two dimensions are presented. © 1998 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 14: 353–365, 1998