A Class of Numerical Algorithms for Large Time Integration: The Nonlinear Galerkin Methods

The nonlinear Galerkin methods are numerical schemes well adapted to the long-term integration of evolution partial differential equations. They consist of looking for approximate solutions lying in nonlinear manifolds that are "close" (in some sense) to the attractor. The aim of this pape...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 29; no. 2; pp. 462 - 483
Main Authors:	Devulder, Christophe, Marion, Martine
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.04.1992
Subjects:	A priori knowledge Algorithms Approximation Differential equations Eigenvalues Eigenvectors Estimation methods Exact sciences and technology Galerkin methods Hilbert space Mathematical integration Mathematical manifolds Mathematics Methods Navier Stokes equation Navier-Stokes equations Numerical analysis Numerical analysis. Scientific computation Numerical schemes Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Sciences and techniques of general use Numerical integration Inertial manifold Evolution equation Non linear approximation Galerkin method Long term Partial differential equation
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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