Geodesic
Error Estimates for Schemes of the Projection-Difference Method
Matematičeskie zametki, Tome 80 (2006) no. 1, pp. 38-49

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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. 
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     author = {S. E. Zhelezovsky},
     title = {Error {Estimates} for {Schemes} of the {Projection-Difference} {Method}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {38--49},
     publisher = {mathdoc},
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     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_1_a5/}
}
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S. E. Zhelezovsky. Error Estimates for Schemes of the Projection-Difference Method. Matematičeskie zametki, Tome 80 (2006) no. 1, pp. 38-49. http://geodesic.mathdoc.fr/item/MZM_2006_80_1_a5/