An introduction to partial differential equations / Matthew P. Coleman (2005)

Public ISBD Titre : An introduction to partial differential equations : with matlab Type de document : texte imprimé Auteurs : Matthew P. Coleman, Auteur Editeur : London ; New York ; Boca Raton : CRC Press Année de publication : 2005 Collection : Chapman and Hall/CRC Importance : 671 p. Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-1-58488-373-9 Note générale : Bibliogr. 579-586 p. Index Langues : Anglais (eng) Mots-clés : MATLAB Differential equations partial -- Computer-assisted instruction MATLAB -- logiciel Équations aux dérivées partielles -- Enseignement assisté par ordinateur Index. décimale : 519.63 Méthodes numériques pour la résolution d'équations aux dérivées partielles Résumé : An Introduction to Partial Differential Equations with MATLAB is a textbook that features MATLAB to aid with problem solving. It includes carefully explained central ideas of the subject, derivations of equations, and historical accounts. It also contains a computational chapter that focuses on the use of finite differences-the numerical method most widely used by engineers. MATLAB is integrated throughout the book in chapter projects that present the problem to be solved along with instructions on how to use the MATLAB software. The MATLAB routines used in the book are provided for download from the Internet. Prerequisites for the book are courses in calculus and differential equations Note de contenu : Sommaire: 1. The big three PDFs 2. Fourier series 3. Solving the big three PDEs 4. Characteristics 5. Intergral transforms 6. Bessel functions and orthogonal polynomials 7. Sturm-liouville theory and generalized fourier series ... An introduction to partial differential equations : with matlab [texte imprimé] / Matthew P. Coleman, Auteur . - London ; New York ; Boca Raton : CRC Press, 2005 . - 671 p. : ill. ; 24 cm. - (Chapman and Hall/CRC) . ISBN : 978-1-58488-373-9 Bibliogr. 579-586 p. Index Langues : Anglais (eng) Mots-clés : MATLAB Differential equations partial -- Computer-assisted instruction MATLAB -- logiciel Équations aux dérivées partielles -- Enseignement assisté par ordinateur Index. décimale : 519.63 Méthodes numériques pour la résolution d'équations aux dérivées partielles Résumé : An Introduction to Partial Differential Equations with MATLAB is a textbook that features MATLAB to aid with problem solving. It includes carefully explained central ideas of the subject, derivations of equations, and historical accounts. It also contains a computational chapter that focuses on the use of finite differences-the numerical method most widely used by engineers. MATLAB is integrated throughout the book in chapter projects that present the problem to be solved along with instructions on how to use the MATLAB software. The MATLAB routines used in the book are provided for download from the Internet. Prerequisites for the book are courses in calculus and differential equations Note de contenu : Sommaire: 1. The big three PDFs 2. Fourier series 3. Solving the big three PDEs 4. Characteristics 5. Intergral transforms 6. Bessel functions and orthogonal polynomials 7. Sturm-liouville theory and generalized fourier series ...

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Dynamic programming / Dimitri P. Bertsekas (1987)

Public ISBD Titre : Dynamic programming : deterministic and stochastic models Type de document : texte imprimé Auteurs : Dimitri P. Bertsekas, Auteur Editeur : London ; New York ; Boca Raton : CRC Press Année de publication : 1987 Collection : Chapman and Hall/CRC Importance : 376 p. Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-0-13-221581-7 Note générale : Bibliogr. pp. 360-372.-Index Langues : Anglais (eng) Mots-clés : Mathématiques--Programmation--Algorithm Adaptive control Index. décimale : 519.857 Programmation dynamique.Jeux à étapes multiples Résumé : Unified treatment of dynamic programming and stochastic control for advanced course in Control Engineering or for Dynamic Programming. Note de contenu : Sommaire: 1- The dynamic programming algorithm 2- Applications in specific areas 3- Problems with imperfect state information 4- Suboptimal and adaptive control 5- Infinite horizon problems: theory 6- Infinite horizon problems: applications 7- Minimization of average cost per stage Dynamic programming : deterministic and stochastic models [texte imprimé] / Dimitri P. Bertsekas, Auteur . - London ; New York ; Boca Raton : CRC Press, 1987 . - 376 p. : ill. ; 24 cm. - (Chapman and Hall/CRC) . ISBN : 978-0-13-221581-7 Bibliogr. pp. 360-372.-Index Langues : Anglais (eng) Mots-clés : Mathématiques--Programmation--Algorithm Adaptive control Index. décimale : 519.857 Programmation dynamique.Jeux à étapes multiples Résumé : Unified treatment of dynamic programming and stochastic control for advanced course in Control Engineering or for Dynamic Programming. Note de contenu : Sommaire: 1- The dynamic programming algorithm 2- Applications in specific areas 3- Problems with imperfect state information 4- Suboptimal and adaptive control 5- Infinite horizon problems: theory 6- Infinite horizon problems: applications 7- Minimization of average cost per stage

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Mathematical methods in physics and engineering with mathematica / Ferdinand F. Cap (2003)

Public ISBD Titre : Mathematical methods in physics and engineering with mathematica Type de document : texte imprimé Auteurs : Ferdinand F. Cap, Auteur Editeur : London ; New York ; Boca Raton : CRC Press Année de publication : 2003 Collection : Chapman and Hall/CRC Importance : 340 p. Présentation : ill. Format : 24 cm ISBN/ISSN/EAN : 978-1-58488-402-6 Note générale : Index Langues : Anglais (eng) Mots-clés : Mathématique Informatique Index. décimale : 519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. Résumé : More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists. Mathematical Methods in Physics and Engineering with Mathematica clearly demonstrates how to solve difficult practical problems involving ordinary and partial differential equations and boundary value problems using the software package Mathematica (4.x). Avoiding mathematical theorems and numerical methods-and requiring no prior experience with the software-the author helps readers learn by doing with step-by-step recipes useful in both new and classical applications. Mathematica and FORTRAN codes used in the book's examples and exercises are available for download from the Internet. The author's clear explanation of each Mathematica command along with a wealth of examples and exercises make Mathematical Methods in Physics and Engineering with Mathematica an outstanding choice both as a reference for practical problem solving and as a quick-start guide to using a leading mathematics software package. Note de contenu : Summary : 1. Introduction 2. Boundary problems of ordinary differential equations 3. Partial differential equations 4. Boundary problems with one closed boundary 5. Boundary problems with two closed boundaries 6. Nonlinear boundary problems Mathematical methods in physics and engineering with mathematica [texte imprimé] / Ferdinand F. Cap, Auteur . - London ; New York ; Boca Raton : CRC Press, 2003 . - 340 p. : ill. ; 24 cm. - (Chapman and Hall/CRC) . ISBN : 978-1-58488-402-6 Index Langues : Anglais (eng) Mots-clés : Mathématique Informatique Index. décimale : 519.6 Mathématique numérique. Analyse numérique. Programmation. (informatique). Science des ordinateurs. Résumé : More than ever before, complicated mathematical procedures are integral to the success and advancement of technology, engineering, and even industrial production. Knowledge of and experience with these procedures is therefore vital to present and future scientists, engineers and technologists. Mathematical Methods in Physics and Engineering with Mathematica clearly demonstrates how to solve difficult practical problems involving ordinary and partial differential equations and boundary value problems using the software package Mathematica (4.x). Avoiding mathematical theorems and numerical methods-and requiring no prior experience with the software-the author helps readers learn by doing with step-by-step recipes useful in both new and classical applications. Mathematica and FORTRAN codes used in the book's examples and exercises are available for download from the Internet. The author's clear explanation of each Mathematica command along with a wealth of examples and exercises make Mathematical Methods in Physics and Engineering with Mathematica an outstanding choice both as a reference for practical problem solving and as a quick-start guide to using a leading mathematics software package. Note de contenu : Summary : 1. Introduction 2. Boundary problems of ordinary differential equations 3. Partial differential equations 4. Boundary problems with one closed boundary 5. Boundary problems with two closed boundaries 6. Nonlinear boundary problems

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