Pade-Galerkin Methods for Parabolic Partial Differential Equations
Nabil R. Nassif (1975)
Publications mathématiques et informatique de Rennes
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Pade-Galerkin Methods for Parabolic Partial Differential Equations
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We consider discontinuous as well as continuous Galerkin methods for the time discretization of a class of nonlinear parabolic equations. We show existence and local uniqueness and derive optimal order optimal regularity error estimates. We establish the results in an abstract Hilbert space setting and apply them to a quasilinear parabolic equation.
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