rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Modelling with ordinary differential equations
    sub title: a comprehensive approach
  name:
    name part: Borzì, Alfio
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Taylor & Francis
  type of resource: text
  genre: bibliography
  genre: Electronic books.
  origin info:
    place:
      place term: flu
    date issued: 2020
    copyright date: 2020
    edition: First edition.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: remote
    extent: 1 online resource (xv, 387 pages) : illustrations (black and white)
  abstract: "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 sciences and engineering Accompanied by MATLAB codes which allow the reader to apply the tools discussed in this book in those cases where analytical tools are not available"--
  table of contents: Elementary solution methods for simple ODEs -- Theory of ordinary differential calculation -- Systems of oridinary differentail equations -- Ordinary differential equations of order n -- Stability of ODE systems -- Boundary and eigenvalue problems -- Numerical solution of ODE problems -- ODEs and the calculus of variations -- Optimal control of ODE models -- Inverse problems with ODE models -- Differential games -- Stochastic differential equations -- Neural networks and ODE problems.
  note: Alfio Borzi.
  note: Includes bibliographical references and index.
  subject:
    topic: Differential equations
  subject:
    topic: Mathematical models
  subject:
    topic: Models, Theoretical
  subject:
    topic: Équations différentielles
  subject:
    topic: Modèles mathématiques
  subject:
    topic: mathematical models
  subject:
    topic: Differential equations
  subject:
    topic: Mathematical models
  classification: QA372 .B6816 2020eb
  classification: 515/.352
  related item:
    title info:
      title: Modelling with ordinary differential equations
    name:
      name part: Borzì, Alfio.
    origin info:
      publisher: Boca Raton, FL : CRC Press, 2020
    identifier: (DLC) 2019060108
    identifier: (OCoLC)1129743257
  related item:
    title info:
      title: Chapman & Hall/CRC numerical analysis and scientific computing
  identifier: 9781351190398
  identifier: 1351190393
  identifier: 9781351190374
  identifier: 1351190377
  identifier: 9781351190381
  identifier: 1351190385
  identifier: 9781351190367
  identifier: 1351190369
  identifier: 9780815392613
  identifier: 0815392613
  identifier: 9781351190398 Taylor & Francis
  identifier: http://proxy.library.tamu.edu/login
  record info:
    record content source: YDX
    record creation date: 200419
    record change date: 20241111204835.7
    record identifier: in00005528975
    language of cataloging:
      language term: eng