الفهرس الالي لمكتبة كلية العلوم الدقيقة و الاعلام الالي
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Introduction to numerical ordinary and partial differential equations using MATLAB / Alexander Stanoyevitch
Titre : Introduction to numerical ordinary and partial differential equations using MATLAB Type de document : texte imprimé Auteurs : Alexander Stanoyevitch Editeur : Hoboken, N.J. : Wiley-Interscience Année de publication : 2005 Importance : xiv, 813 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-471-69738-1 Mots-clés : ordinary Index. décimale : 005 Résumé : Learn how to solve complex differential equations using MATLAB®
Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB® teaches readers how to numerically solve both ordinary and partial differential equations with ease. This innovative publication brings together a skillful treatment of MATLAB and programming alongside theory and modeling. By presenting these topics in tandem, the author enables and encourages readers to perform their own computer experiments, leading them to a more profound understanding of differential equations.
The text consists of three parts:
Introduction to MATLAB and numerical preliminaries, which introduces readers to the software and itsgraphical capabilities and shows how to use it to write programs
Ordinary Differential Equations
Partial Differential Equations
All the tools needed to master using MATLAB to solve differential equations are provided and include:
"Exercises for the Reader" that range from routine computations to more advanced conceptual and theoretical questions (solutions appendix included)
Illustrative examples, provided throughout the text, that demonstrate MATLAB′s powerful ability to solve differential equations
Explanations that are rigorous, yet written in a very accessible, user–friendly style
Access to an FTP site that includes downloadable files of all the programs developed in the text
This textbook can be tailored for courses in numerical differential equations and numerical analysis as well as traditional courses in ordinary and/or partial differential equations. All the material has been classroom–tested over the course of many years, with the result that any self–learner with an understanding of basic single–variable calculus can master this topic. Systematic use is made of MATLAB′s superb graphical capabilities to display and analyze results. An extensive chapter on the finite element method covers enough practical aspects (including mesh generation) to enable the reader to numerically solve general elliptic boundary value problems. With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, this is an unsurpassed pedagogical tool.Introduction to numerical ordinary and partial differential equations using MATLAB [texte imprimé] / Alexander Stanoyevitch . - Hoboken, N.J. : Wiley-Interscience, 2005 . - xiv, 813 p. : ill. ; 25 cm.
ISBN : 978-0-471-69738-1
Mots-clés : ordinary Index. décimale : 005 Résumé : Learn how to solve complex differential equations using MATLAB®
Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB® teaches readers how to numerically solve both ordinary and partial differential equations with ease. This innovative publication brings together a skillful treatment of MATLAB and programming alongside theory and modeling. By presenting these topics in tandem, the author enables and encourages readers to perform their own computer experiments, leading them to a more profound understanding of differential equations.
The text consists of three parts:
Introduction to MATLAB and numerical preliminaries, which introduces readers to the software and itsgraphical capabilities and shows how to use it to write programs
Ordinary Differential Equations
Partial Differential Equations
All the tools needed to master using MATLAB to solve differential equations are provided and include:
"Exercises for the Reader" that range from routine computations to more advanced conceptual and theoretical questions (solutions appendix included)
Illustrative examples, provided throughout the text, that demonstrate MATLAB′s powerful ability to solve differential equations
Explanations that are rigorous, yet written in a very accessible, user–friendly style
Access to an FTP site that includes downloadable files of all the programs developed in the text
This textbook can be tailored for courses in numerical differential equations and numerical analysis as well as traditional courses in ordinary and/or partial differential equations. All the material has been classroom–tested over the course of many years, with the result that any self–learner with an understanding of basic single–variable calculus can master this topic. Systematic use is made of MATLAB′s superb graphical capabilities to display and analyze results. An extensive chapter on the finite element method covers enough practical aspects (including mesh generation) to enable the reader to numerically solve general elliptic boundary value problems. With its thorough coverage of analytic concepts, geometric concepts, programs and algorithms, and applications, this is an unsurpassed pedagogical tool.Réservation
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Code-barres Cote Support Localisation Section Disponibilité fsei01608 005-378.1 Ouvrage Faculté des Sciences Exactes et Informatique 000 - Informatique, information, ouvrages généraux Disponible Numerical solution of ordinary differential equations / Kendall Atkinson
Titre : Numerical solution of ordinary differential equations Type de document : texte imprimé Auteurs : Kendall Atkinson (1940-....), Auteur ; Weimin Han (1963-....), Auteur ; David W. Stewart, Auteur Editeur : Hoboken, N.J. : J. Wiley & sons Année de publication : cop. 2009 Collection : Pure and applied mathematics (John Wiley & Sons. Unnumbered), ISSN 0079-8185 Importance : 1 vol. (XII- 252 p.) Présentation : ill., couv. ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-470-04294-6 Langues : Anglais (eng) Mots-clés : Numerical solution ordinary differential equations Index. décimale : 515 Note de contenu : Theory of differential equations: an introduction
Euler's method
Systems of differential equations
The backward Euler method and the trapezoidal method
Taylor and Runge-Kutta methods
Multistep methods
General error analysis for multistep methods
Stiff differential equations
Implicit RK methods for stiff differential equations
Differential algebraic equations
Two-point boundary value problems
Volterra integral equationsNumerical solution of ordinary differential equations [texte imprimé] / Kendall Atkinson (1940-....), Auteur ; Weimin Han (1963-....), Auteur ; David W. Stewart, Auteur . - Hoboken, N.J. : J. Wiley & sons, cop. 2009 . - 1 vol. (XII- 252 p.) : ill., couv. ill. ; 25 cm. - (Pure and applied mathematics (John Wiley & Sons. Unnumbered), ISSN 0079-8185) .
ISBN : 978-0-470-04294-6
Langues : Anglais (eng)
Mots-clés : Numerical solution ordinary differential equations Index. décimale : 515 Note de contenu : Theory of differential equations: an introduction
Euler's method
Systems of differential equations
The backward Euler method and the trapezoidal method
Taylor and Runge-Kutta methods
Multistep methods
General error analysis for multistep methods
Stiff differential equations
Implicit RK methods for stiff differential equations
Differential algebraic equations
Two-point boundary value problems
Volterra integral equationsRéservation
Réserver ce document
Exemplaires (1)
Code-barres Cote Support Localisation Section Disponibilité fsei09535 515-186.1 Ouvrage Faculté des Sciences Exactes et Informatique 500 - Sciences de la nature et Mathématiques Disponible