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Baker, Garth A.; Dougalis, Vassilios A.; Karakashian, Ohannes

On multistep-Galerkin discretizations of semilinear hyperbolic and parabolic equations. (English) Zbl 0451.65076

Nonlinear Anal., Theory Methods Appl. 4, 579-597 (1980).
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Cited in 14 Documents

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65N15 Error bounds for boundary value problems involving PDEs
35K60 Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations
35L70 Second-order nonlinear hyperbolic equations

Keywords:

semilinear hyperbolic and parabolic equations; fully discrete Galerkin approximations; multistep discretizations of initial- and boundary-value problems; error estimates
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References:

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[16] Thomée, V.; Wahlbin, L., On Galerkin methods in semilinear parabolic problems, Siam J. Numer. Analysis, 12, 378-389 (1975) · Zbl 0307.35007
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[22] Nevanlinna, O., On the convergence of difference approximations to nonlinear contraction semigroups in Hilbert spaces, Math. Comp., 32, 321-334 (1978) · Zbl 0392.65021
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[25] Bramble, J. H., Multistep methods for quasilinear parabolic equations, Proceedings of the 2nd Int. Conf. on Comp. Meth. in Nonlinear Mechanics (1979), Austin, Texas · Zbl 0428.73083
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