A well-balanced scheme for the numerical processing of source terms in hyperbolic equations

SIAM Journal on Numerical Analysis

Volumn 33, Issue 1, 1996, Pages 1-16

  Greenberg, J M ^a,c   Leroux, A Y ^b  

^a UNIVERSITY OF MARYLAND BALTIMORE COUNTY   (United States)

^b UNIVERSITÉ DE BORDEAUX   (France)

^c CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Balanced scheme; Conservation laws; Source terms; Steady solutions

Indexed keywords

EID: 1542576141     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/0733001     Document Type: Article

References (4)

1. P. D. LAX, Hyperbolic systems of conservation laws ii, Comm. Pure Applied Math., 10 (1957), pp. 537-566.
2. O. A. OLEINIK, Discontinuous solutions of nonlinear differential equations, Amer. Math. Soc. Transl. Ser. 2, 26 (1963), pp. 95-172.
3. S. N. KRUZKOV, First order quasilinear equations in several independent variables, Math. USSR Sb., 10 (1970), pp. 217-243.
4. A. Y. LEROUX, Convergence of the Godunov scheme for first order quasilinear equations, Proc. Japan Acad., 52 (1976), pp. 488-491.