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: Recent Developments in Structure-Preserving Algorithms for Oscillatory Differential Equations
  name:
    name part: Wu, Xinyuan.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Wang, Bin.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: si
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XV, 345 p. 73 illus., 62 illus. in color. online resource.
  abstract: The main theme of this book is recent progress in structure-preserving algorithms for solving initial value problems of oscillatory differential equations arising in a variety of research areas, such as astronomy, theoretical physics, electronics, quantum mechanics and engineering. It systematically describes the latest advances in the development of structure-preserving integrators for oscillatory differential equations, such as structure-preserving exponential integrators, functionally fitted energy-preserving integrators, exponential Fourier collocation methods, trigonometric collocation methods, and symmetric and arbitrarily high-order time-stepping methods. Most of the material presented here is drawn from the recent literature. Theoretical analysis of the newly developed schemes shows their advantages in the context of structure preservation. All the new methods introduced in this book are proven to be highly effective compared with the well-known codes in the scientific literature. This book also addresses challenging problems at the forefront of modern numerical analysis and presents a wide range of modern tools and techniques.
  table of contents: Functionally ﬁtted continuous ﬁnite element methods for oscillatory Hamiltonian system -- Exponential average-vector-ﬁeld integrator for conservative or dissipative systems -- Exponential Fourier collocation methods for ﬁrst-order differential Equations -- Symplectic exponential Runge-Kutta methods for solving nonlinear Hamiltonian systems -- High-order symplectic and symmetric composition integrators for multi-frequency oscillatory Hamiltonian systems -- The construction of arbitrary order ERKN integrators via group theory -- Trigonometric collocation methods for multi-frequency and multidimensional oscillatory systems -- A compact tri-colored tree theory for general ERKN methods -- An integral formula adapted to different boundary conditions for arbitrarily high-dimensional nonlinear Klein-Gordon equations -- An energy-preserving and symmetric scheme for nonlinear Hamiltonian wave equations -- Arbitrarily high-order time-stepping schemes for nonlinear Klein-Gordon equations -- An essential extension of the ﬁnite-energy condition for ERKN integrators solving nonlinear wave equations -- Index.
  note: by Xinyuan Wu, Bin Wang.
  subject:
    topic: Algorithms
  subject:
    topic: Computational complexity
  subject:
    topic: Mathematics of Algorithmic Complexity
  subject:
    topic: Complexity
  classification: QA9.58
  classification: 511.352
  related item:
    title info:
      title: Springer eBooks
  identifier: 9789811090042
  identifier: https://doi.org/10.1007/978-981-10-9004-2
  record info:
    record creation date: 180419
    record change date: 20191022071049.0
    record identifier: 978-981-10-9004-2