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

Error estimates for schemes of the projection-difference method for quasilinear hyperbolic equations (Q2387957)

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Error estimates for schemes of the projection-difference method for quasilinear hyperbolic equations
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    Error estimates for schemes of the projection-difference method for quasilinear hyperbolic equations (English)
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    5 September 2005
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    The author considers the convergence of a scheme for an abstract second order quasilinear hyperbolic equation with variable operator coefficients in a Hilbert space. This scheme is a combination of the Galerkin scheme with respect to the space variables and a 3 level finite-difference scheme with weights with respect to the time variable. Asymptotic energy estimates for the error are obtained.
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    error estimates
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    projection difference method
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    Galerkin scheme
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    Hilbert space
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    abstract second order quasilinear hyperbolic equation
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    variable operator coefficients
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