Result: ERROR ESTIMATES FOR A FITZHUGH―NAGUMO PARAMETER-DEPENDENT REACTION-DIFFUSION SYSTEM
Title:
ERROR ESTIMATES FOR A FITZHUGH―NAGUMO PARAMETER-DEPENDENT REACTION-DIFFUSION SYSTEM
Source:
Modélisation mathématique et analyse numérique (Imprimé). 47(1):281-304
Publisher Information:
Les Ulis: EDP Sciences, 2013.
Publication Year:
2013
Physical Description:
print, 42 ref
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Algèbre, Algebra, Géométrie algébrique, Algebraic geometry, Analyse mathématique, Mathematical analysis, Equations aux dérivées partielles, Partial differential equations, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Algèbre linéaire numérique, Numerical linear algebra, Probabilités et statistiques numériques, Numerical methods in probability and statistics, Algèbre linéaire numérique, Numerical linear algebra, Algebra lineal numérica, Analyse numérique, Numerical analysis, Análisis numérico, Approximation, Aproximación, Equation dérivée partielle, Partial differential equation, Ecuación derivada parcial, Equation réaction diffusion, Reaction diffusion equation, Ecuación reacción difusión, Espace arbitraire, Arbitrary space, Espacio arbitrario, Estimation erreur, Error estimation, Estimación error, Inversion matrice, Matrix inversion, Inversión matriz, Modèle mathématique, Mathematical model, Modelo matemático, Méthode directe, Direct method, Método directo, Méthode itérative, Iterative method, Método iterativo, Méthode numérique, Numerical method, Método numérico, Méthode stochastique, Stochastic method, Método estocástico, Stabilité numérique, Numerical stability, Estabilidad numérica, Système linéaire, Linear system, Sistema lineal, 14C20, 35XX, 65C20, 65F05, 65F10
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, National Technical University of Athnens, Zografou Campus, 15780 Athens, Greece
Section of Applied and Theoretical Mechanics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece
Section of Applied and Theoretical Mechanics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece
ISSN:
0764-583X
Rights:
Copyright 2014 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Mathematics
Accession Number:
edscal.26900884
Database:
PASCAL Archive
Further Information
Space-time approximations of the FitzHugh―Nagumo system of coupled semi-linear parabolic PDEs are examined. The schemes under consideration are discontinuous in time but conforming in space and of arbitrary order. Stability estimates are presented in the natural energy norms and at arbitrary times, under minimal regularity assumptions. Space-time error estimates of arbitrary order are derived, provided that the natural parabolic regularity is present. Various physical parameters appearing in the model are tracked and numerical examples are presented.