A. Rezgui, ACCURACY AND CONVERGENCE OF FINITE-VOLUME METHODS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 327(4), 1998, pp. 421-426
A general framework is presented for the resolution of hyperbolic syst
em of conservation laws, by finite-volume schemes. The concept of accu
racy is specified for a large class of compact and non-compact approxi
mations. An error-estimate type result, given here for linear problems
, justifies the finite-volume accuracy concept. (C) Academie des Scien
ces/Elsevier, Paris