This article is cited in 7 papers

Estimates for the Rate of Convergence of the Galerkin Method for Abstract Hyperbolic Equations

S. E. Zhelezovsky

Volga Region Academy of Public Service of a name of P. A. Stolypina

Abstract: We study the rate of convergence of the semidiscrete Galerkin method for linear hyperbolic equations in a Hilbert space. We establish asymptotic estimates for the error arising as a result of the arbitrariness in the choice of subspaces in which the approximation problems are solved.

UDC: 517.988.8

Received: 15.12.1998

DOI: 10.4213/mzm498

 English version: Mathematical Notes, 2001, 69:2, 196–206

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