Modelling with Ordinary Differential Equations: A Comprehensive Approach (Chapman & Hall/Crc Numerical Analysis and Scientific Computing) - Softcover

Buch 26 von 34: Chapman & Hall/CRC Numerical Analysis and Scientific Computing

Borz, Alfio

 
9781032336671: Modelling with Ordinary Differential Equations: A Comprehensive Approach (Chapman & Hall/Crc Numerical Analysis and Scientific Computing)
Softcover
ISBN 10: 1032336676 ISBN 13: 9781032336671
Verlag: Chapman and Hall/CRC, 2022

Inhaltsangabe

Modelling with Ordinary Differential Equations: A Comprehensive Approach aims to provide a broad and self-contained introduction to the mathematical tools necessary to investigate and apply ODE models. The book starts by establishing the existence of solutions in various settings and analysing their stability properties. The next step is to illustrate modelling issues arising in the calculus of variation and optimal control theory that are of interest in many applications. This discussion is continued with an introduction to inverse problems governed by ODE models and to differential games.

The book is completed with an illustration of stochastic differential equations and the development of neural networks to solve ODE systems. Many numerical methods are presented to solve the classes of problems discussed in this book.

Features:

  • Provides insight into rigorous mathematical issues concerning various topics, while discussing many different models of interest in different disciplines (biology, chemistry, economics, medicine, physics, social sciences, etc.)

  • Suitable for undergraduate and graduate students and as an introduction for researchers in engineering and the sciences

    • Accompanied by codes which allow the reader to apply the numerical methods discussed in this book in those cases where analytical solutions are not available

    • Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Über die Autorin bzw. den Autor

    Alfio Borzì, born 1965 in Catania (Italy), is the professor and chair of Scientific Computing at the Institute for Mathematics of the University of Würzburg, Germany. He studied Mathematics and Physics in Catania and Trieste where he received his PhD in Mathematics from Scuola Internazionale Superiore di Studi Avanzati (SISSA).

    He served as Research Officer at the University of Oxford (UK) and as assistant professor at the University of Graz (Austria) where he completed his Habilitation and was appointed as Associate Professor. Since 2011 he has been Professor of Scientific Computing at University of Würzburg.

    Alfio Borzi is the author of 3 mathematics books and numerous articles in journals. The main topics of his research and teaching activities are modelling and numerical analysis, optimal control theory and scientific computing. He is member of the editorial board for the SIAM Journal on
    Scientific Computing and for SIAM Review.

    „Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

    Verlag
    Chapman and Hall/CRC
    Erscheinungsdatum
    2022
    Sprache
    Englisch
    ISBN 10 
    1032336676
    ISBN 13 
    9781032336671
    Einband
    Taschenbuch
    Auflage
    1
    Anzahl der Seiten
    404
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    Weitere beliebte Ausgaben desselben Titels

    9780815392613: Modelling with Ordinary Differential Equations: A Comprehensive Approach (Numerical Analysis and Scientific Computing)

    Vorgestellte Ausgabe

    ISBN 10:  0815392613 ISBN 13:  9780815392613
    Verlag: Chapman and Hall/CRC, 2020
    Hardcover