Result: The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order Predictor-Corrector methods
Title:
The numerical solution of the radial Schrödinger equation via a trigonometrically fitted family of seventh algebraic order Predictor-Corrector methods
Authors:
Source:
Special issue on the International conference of computational methods in sciences and engineering (ICCMSE 2004)Journal of mathematical chemistry. 40(3):269-293
Publisher Information:
Heidelberg: Springer, 2006.
Publication Year:
2006
Physical Description:
print, 51 ref
Original Material:
INIST-CNRS
Subject Terms:
Chemistry, Chimie, 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, Equations aux dérivées partielles, Partial differential equations, Analyse numérique. Calcul scientifique, Numerical analysis. Scientific computation, Analyse numérique, Numerical analysis, Equations aux dérivées partielles, problèmes aux valeurs limites, Partial differential equations, boundary value problems, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Equation Schrödinger, Schrödinger equation, Ecuación Schrödinger, Méthode algébrique, Algebraic method, Método algebraico, Méthode prédicteur correcteur, Predictor corrector method, Método predictor corrector, Solution numérique, Numerical solution, Solution radiale, Radial solution, Solución radial, Ajustement trigonométrique, Trigonometric fitting, Méthode comparaison, Predictor-Corrector methods
Document Type:
Conference
Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Clore Laboratory, University of Buckingham, Buckingham MK18 1EG, United Kingdom
Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, 221 00 Tripolis, Greece
Department of Computer Science and Technology, Faculty of Sciences and Technology, University of Peloponnese, 221 00 Tripolis, Greece
ISSN:
0259-9791
Rights:
Copyright 2007 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:
Computer science; theoretical automation; systems
Mathematics
Mathematics
Accession Number:
edscal.18357039
Database:
PASCAL Archive
Further Information
In this paper, we develop new seventh order trigonometrically fitted Adams-Bash-forth-Moulton predictor-corrector (P-C) algorithms. Our predictor is based on the sixth algebraic order Adams-Bashforth scheme and our corrector on the seventh algebraic order Adams-Moulton scheme. In order to assess the efficiency of our new methods, we contacted appropriate comparisons of our schemes against well known methods and the numerical experimentations demonstrated that our schemes behave more efficiently.