Introduction to Partial Differential Equations
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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Introduction to Partial Differential Equations: A Computational Approach(29 Texts in Applied Mathematics)
Introduction to Partial Differential Equations: A Computational Approach(29 Texts in Applied Mathematics)

Introduction to Partial Differential Equations: A Computational Approach(29 Texts in Applied Mathematics)


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About the Book

This innovative book blends both the numerical simulation and the analysis of Partial Differential Equations. This approach is thoroughly modern, and yet includes the classical topics as they should appear in a PDE course. This is one of the first texts to take this modern approach. The large quantity of well-organized exercises and projects should help students with the correct way of approaching problems in PDE's. i

Table of Contents:
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.

Review :
"In den gangigen Standard-Softwaresystemen der Produktionsplanung und -steuerung bzw. der Beschaffung und Materialwirtschaft wird dem Flexibilitatsgedanken im Rahmen der Losgrossenplanung bisher nur unzureichend Rechnung getragen...ein neues Losgrossenverfahren, das eine flexiblere Einbeziehung der betrieblichen Wirklichkeit ermoglicht... Der neue Ansatz ermoglicht im Gegensatz zu den bekannten dynamischen Algorithmen das Anzeigen von Mehrfachlosungen sowie das Abrufen der nachstbesten Losung und unterstutzt eine interaktive Losgrossenbestimmung in Dialogform mit dem Disponenten... Im Hinblick auf den praktischen Einsatz des Verfahrens ist insbesondere die gesteigerte Flexibilitat bei Einbeziehung der nachgelagerten Produktionsplanungs- und -steuerungsmodule hervorzuheben. Insgesamt lasst sich resumieren, dass es Francois mit seiner Arbeit gelungen ist, einen methodisch bemerkenswerten wissenschaftlichen Beitrag zur Losgrossenplanung zu leisten. Durch die sehr sorgfaltige und anschauliche Darstellungsweise durfte 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 adaquat berucksichtigt wird, so dass die vom Autor aufgezeigten Mangel im Rahmen der Losgrossenplanung bei den bestehenden Systemen mittelfristig eliminiert werden." Dipl.-Kfm. K.-P.; Urban, zfbf 53 (Marz 2001)


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Product Details
  • ISBN-13: 9781475771725
  • Publisher: Springer-Verlag New York Inc.
  • Publisher Imprint: Springer-Verlag New York Inc.
  • Height: 235 mm
  • No of Pages: 392
  • Returnable: N
  • Sub Title: A Computational Approach
  • ISBN-10: 147577172X
  • Publisher Date: 18 Mar 2013
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Series Title: 29 Texts in Applied Mathematics
  • Width: 155 mm


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Introduction to Partial Differential Equations: A Computational Approach(29 Texts in Applied Mathematics)
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Introduction to Partial Differential Equations: A Computational Approach(29 Texts in Applied Mathematics)
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