This article is cited in 2 papers

Error Estimates for Schemes of the Projection-Difference Method for Abstract Quasilinear Hyperbolic Equations

S. E. Zhelezovsky

Saratov State Socio-Economic University

Abstract: We study the convergence of the three-layer scheme of the projection-difference method for abstract quasilinear hyperbolic equations in Hilbert space. We establish asymptotic energy error estimates for an arbitrary choice of finite-dimensional subspaces in which the approximation problems are solved.

Keywords: projection-difference method, three-layer scheme, quasilinear hyperbolic equations, asymptotic error estimates, energy norm, uniform norm.

UDC: 517.988.8

Received: 25.11.2002

DOI: 10.4213/mzm2778

 English version: Mathematical Notes, 2006, 80:1, 36–46

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