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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Vydané v:	SIAM journal on numerical analysis Ročník 29; číslo 2; s. 462 - 483
Hlavní autori:	Devulder, Christophe, Marion, Martine
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.04.1992
Predmet:	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
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