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Combining both the classical theory and numerical techniques for partial differential equations, this thoroughly modern approach shows the significance of computations in PDEs and illustrates the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between these techniques. The authors present the material at an easy pace and exercises ranging from the straightforward to the challenging have been included. In addition there are some "projects" suggested, either to refresh the students memory of results needed in this course, or to extend the theories developed in the text. Suitable for undergraduate and graduate students in mathematics and engineering.
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Recensione
"In den gängigen Standard-Softwaresystemen der Produktionsplanung und -steuerung bzw. der Beschaffung und Materialwirtschaft wird dem Flexibilitätsgedanken im Rahmen der Losgrößenplanung bisher nur unzureichend Rechnung getragen...ein neues Losgrößenverfahren, das eine flexiblere Einbeziehung der betrieblichen Wirklichkeit ermöglicht.... Der neue Ansatz ermöglicht im Gegensatz zu den bekannten dynamischen Algorithmen das Anzeigen von Mehrfachlösungen sowie das Abrufen der nächstbesten Lösung und unterstützt eine interaktive Losgrößenbestimmung in Dialogform mit dem Disponenten... Im Hinblick auf den praktischen Einsatz des Verfahrens ist insbesondere die gesteigerte Flexibilität bei Einbeziehung der nachgelagerten Produktionsplanungs- und -steuerungsmodule hervorzuheben. Insgesamt lässt sich resümieren, dass es Francois mit seiner Arbeit gelungen ist, einen methodisch bemerkenswerten wissenschaftlichen Beitrag zur Losgrößenplanung zu leisten. Durch die sehr sorgfältige und anschauliche Darstellungsweise dürfte das Buch einen breiten Leserkreis ansprechen...bleibt zu hoffen, dass der Verfahrensansatz von Francois bei der Weiterentwicklung von Standard-Softwaresystemen der Produktionsplanung und -steuerung beziehungsweise der Beschaffung und Materialwirtschaft adäquat berücksichtigt wird, so dass die vom Autor aufgezeigten Mängel im Rahmen der Losgrößenplanung bei den bestehenden Systemen mittelfristig eliminiert werden."
Dipl.-Kfm. K.-P.; Urban, zfbf 53 (März 2001)
Contenuti
Setting the Scene.- Two-Point Boundary Value Problems.- The Heat Equation.- Finite Difference Schemes For The Heat Equation.- The Wave Equation.- Maximum Principles.- Poisson’s Equation in Two Space Dimensions.- Orthogonality and General Fourier Series.- Convergence of Fourier Series.- The Heat Equation Revisited.- Reaction-Diffusion Equations.- Applications of the Fourier Transform.
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- EditoreSpringer
- Data di pubblicazione2013
- ISBN 10 147577172X
- ISBN 13 9781475771725
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero di pagine412
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Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics)
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Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics)
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Introduction to Partial Differential Equations
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ISBN 13: 9781475771725
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Combining both the classical theory and numerical techniques for partial differential equations, this thoroughly modern approach shows the significance of computations in PDEs and illustrates the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between these techniques. The authors present the material at an easy pace and exercises ranging from the straightforward to the challenging have been included. In addition there are some 'projects' suggested, either to refresh the students memory of results needed in this course, or to extend the theories developed in the text. Suitable for undergraduate and graduate students in mathematics and engineering. 412 pp. Englisch. Codice articolo 9781475771725
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Introduction to Partial Differential Equations: A Computational Approach
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Springer-Verlag New York Inc., 2013
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ISBN 13: 9781475771725
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Introduction to Partial Differential Equations : A Computational Approach
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Introduction to Partial Differential Equations : A Computational Approach
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Springer New York, Springer US, 2013
ISBN 10: 147577172X
ISBN 13: 9781475771725
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Da: AHA-BUCH GmbH, Einbeck, Germania
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Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 'It is impossible to exaggerate the extent to which modern applied mathematics has been shaped and fueled by the g- eral availability of fast computers with large memories. Their impact on mathematics, both applied and pure, is comparable to the role of the telescopes in astronomy and microscopes in biology.' - Peter Lax, Siam Rev. Vol. 31 No. 4 Congratulations! You have chosen to study partial di erential equations. That decision is a wise one; the laws of nature are written in the language of partial di erential equations. Therefore, these equations arise as models in virtually all branches of science and technology. Our goal in this book is to help you to understand what this vast subject is about. The book is an introduction to the eld. We assume only that you are familiar with - sic calculus and elementary linear algebra. Some experience with ordinary di erential equations would also be an advantage. Introductory courses in partial di erential equations are given all over the world in various forms. The traditional approach to the subject is to introduce a number of analytical techniques, enabling the student to - rive exact solutions of some simpli ed problems. Students who learn about viii Preface computational techniques on other courses subsequently realize the scope of partial di erential equations beyond paper and pencil. Codice articolo 9781475771725
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Introduction to Partial Differential Equations
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Combining both the classical theory and numerical techniques for partial differential equations, this thoroughly modern approach shows the significance of computations in PDEs and illustrates the strong interaction between mathematical theory and the develo. Codice articolo 4207722
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