Result: A class of volume-preserving numerical algorithms
Title:
A class of volume-preserving numerical algorithms
Authors:
Source:
Applied mathematics and computation. 206(2):841-852
Publisher Information:
Amsterdam: Elsevier, 2008.
Publication Year:
2008
Physical Description:
print, 10 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Analyse mathématique, Mathematical analysis, Fonctions d'une variable complexe, Functions of a complex variable, Analyse fonctionnelle, Functional analysis, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Algorithme, Algorithm, Algoritmo, Analyse numérique, Numerical analysis, Análisis numérico, Equation Hamilton Jacobi, Hamilton Jacobi equation, Ecuación Hamilton Jacobi, Fonction génératrice, Generating function, Función generatriz, Mathématiques appliquées, Applied mathematics, Matemáticas aplicadas, 30Gxx, 46Fxx, Generating function approach, Hamilton-Jacobi equation, Source-free system, Volume-preserving numerical algorithms
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
LSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China
ISSN:
0096-3003
Rights:
Copyright 2009 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.21139919
Database:
PASCAL Archive
Further Information
In this paper, a class of more general volume-preserving mappings which can include two classes of existing volume-preserving mappings, is presented. Associated with these volume-preserving mappings, we get the corresponding generating functions. Since these generating functions satisfy the generalized Hamilton-Jacobi (GHJ) equations, the higher-order volume-preserving numerical algorithms are obtained by solving the GHJ equations.