Geodesic
Estimates for the Rate of Convergence of the Galerkin Method for Abstract Hyperbolic Equations
Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 223-234

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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. 
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     author = {S. E. Zhelezovsky},
     title = {Estimates for the {Rate} of {Convergence} of the {Galerkin} {Method} for {Abstract} {Hyperbolic} {Equations}},
     journal = {Matemati\v{c}eskie zametki},
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     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a6/}
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S. E. Zhelezovsky. Estimates for the Rate of Convergence of the Galerkin Method for Abstract Hyperbolic Equations. Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 223-234. http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a6/