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: Differential-algebraic equations
  title info:
    sub title: Analysis and numerical solution
  title info: title
  name:
    name part: Kunkel, Peter
    role:
      role term: creator
  type of resource: text
  origin info:
    place:
      place term: xx
    place:
      place term: Germany
    publisher: European Mathematical Society
    date issued: 2006
    date issued: 9999
    issuance: monographic
  language:
    language term: und
  physical description:
    form: print
  abstract: Differential-algebraic equations are a widely accepted tool for the modeling and simulation of constrained dynamical systems in numerous applications, such as mechanical multibody systems, electrical circuit simulation, chemical engineering, control theory, fluid dynamics and many others. This is the first comprehensive textbook that provides a systematic and detailed analysis of initial and boundary value problems for differential-algebraic equations. The analysis is developed from the theory of linear constant coefficient systems via linear variable coefficient systems to general nonlinear systems. Further sections on control problems, generalized inverses of differential-algebraic operators, generalized solutions, and differential equations on manifolds complement the theoretical treatment of initial value problems. Two major classes of numerical methods for differential-algebraic equations (Runge-Kutta and BDF methods) are discussed and analyzed with respect to convergence and order. A chapter is devoted to index reduction methods that allow the numerical treatment of general differential-algebraic equations. The analysis and numerical solution of boundary value problems for differential-algebraic equations is presented, including multiple shooting and collocation methods. A survey of current software packages for differential-algebraic equations completes the text. The book is addressed to graduate students and researchers in mathematics, engineering and sciences, as well as practitioners in industry. A prerequisite is a standard course on the numerical solution of ordinary differential equations. Numerous examples and exercises make the book suitable as a course textbook or for self-study.
  note: Peter Kunkel, Volker Mehrmann
  subject:
    topic: Differential-algebraic equations,Boundary value problems,Phương trình đại số vi phân,Những vấn đề của giá trị giới hạn
  classification: 515.35
  classification: K95
  record info:
    record creation date: 210402
    record identifier: CTU_134020