Efficient methods using high accuracy approximate inertial manifolds

Author

NOVO, Julia¹ ; TITI, Edriss S² ; WYNNE, Shannon³
[1] Departamento de Matemática Aplicada y Computación, Universidad de Valladolid, Valladolid, Spain
[2] Department of Mathematics, and Department of Mechanical and Aerospace Engineering, University of California, Irvine, CA 92697-3875, United States
[3] Department of Mathematics, University of California, Irvine, CA 92697-3875, United States

Source

Numerische Mathematik. 2001, Vol 87, Num 3, pp 523-554 ; ref : 43 ref

CODEN

NUMMA7

ISSN

0029-599X

Scientific domain

Mathematics; Mechanics acoustics

Publisher

Springer, Berlin / Springer, Heidelberg / Springer, New York, NY

Publication country

Germany

Document type

Article

Language

English

Keyword (fr)

Algorithme Amélioration Calcul numérique Coefficient diffusion Diffusion(transport) Equation différentielle Equation dérivée partielle Equation évolution Estimation erreur Evolution Filtrage Inertie Modèle non linéaire Méthode Galerkin Petrov Méthode Galerkin Méthode approchée Méthode collocation Méthode spectrale Non linéarité Polynôme Problème Neumann Problème valeur limite Réaction Solution bornée Support Système 2 dimensions Système dissipatif Variété mathématique Discrétisation spectrale Fourier Equation abstraite NLG method Posttraitement

Keyword (en)

Algorithm Improvement Numerical computation Diffusion coefficient Diffusion Differential equation Partial differential equation Evolution equation Error estimation Evolution Filtering Inertia Non linear model Galerkin-Petrov method Galerkin method Approximate method Collocation method Spectral method Nonlinearity Polynomial Neumann problem Boundary value problem Reaction Bounded solution Support Two dimensional system Dissipative system Manifold Fourier spectral discretization Abstract equation Nonlinear Galerkin method Postprocessing

Keyword (es)

Algoritmo Mejoría Cálculo numérico Coeficiente difusión Ecuación diferencial Ecuación derivada parcial Ecuación evolución Estimación error Evolución Filtrado Inercia Modelo no lineal Método Galerkin Método aproximado Método colocación Método espectral No linealidad Polinomio Problema Neumann Problema valor limite Reacción Solución acotada Soporte Sistema 2 dimensiones Sistema disipativo Variedad matemática

Classification

Pascal

001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02I Numerical analysis. Scientific computation / 001A02I01 Numerical analysis / 001A02I01L Partial differential equations, miscellaneous problems

Discipline

Mathematics

Origin

Inist-CNRS

Database

PASCAL

INIST identifier

874124

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