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Error estimates for schemes of the projection-difference method for abstract quasilinear hyperbolic equations

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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.

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  1. Saratov State Social-Economics University, Saratov

    S. E. Zhelezovskii

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  1. S. E. Zhelezovskii
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__________

Translated from Matematicheskie Zametki, vol. 80, no. 1, 2006, pp. 38–49.

Original Russian Text Copyright © 2006 by S. E. Zhelezovskii.

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Zhelezovskii, S.E. Error estimates for schemes of the projection-difference method for abstract quasilinear hyperbolic equations. Math Notes 80, 36–46 (2006). https://doi.org/10.1007/s11006-006-0106-7

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  • DOI: https://doi.org/10.1007/s11006-006-0106-7

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