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: Haar Wavelets
    sub title: With Applications
  name:
    name part: Lepik, Ülo.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Hein, Helle.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2014
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 207 p. 50 illus. online resource.
  abstract: This is the first book to present a systematic review of applications of the Haar wavelet method for solving Calculus and Structural Mechanics problems. Haar wavelet-based solutions for a wide range of problems, such as various differential and integral equations, fractional equations, optimal control theory, buckling, bending and vibrations of elastic beams are considered. Numerical examples demonstrating the efficiency and accuracy of the Haar method are provided for all solutions.
  table of contents: Preliminaries -- Haar wavelets -- Solution of ordinary differential equations (ODEs) -- Stiff equations -- Integral equations -- Evolution equations -- Solving PDEs with the aid of two-dimensional Haar wavelets -- Fractional calculus -- Applying Haar wavelets in the optimal control theory -- Buckling of elastic beams -- Vibrations of cracked Euler-Bernoulli beams -- Free vibrations on non-uniform and axially functionally graded Euler-Bernoulli beams -- Vibrations of functionally graded Timoshenko beams -- Applying Haar wavelets in damage detection using machine learning methods.
  note: by Ülo Lepik, Helle Hein.
  subject:
    topic: Engineering
  subject:
    topic: Integral equations
  subject:
    topic: System theory
  subject:
    topic: Computer mathematics
  subject:
    topic: Physics
  subject:
    topic: Vibration
  subject:
    topic: Dynamical systems
  subject:
    topic: Dynamics
  subject:
    topic: Engineering
  subject:
    topic: Vibration, Dynamical Systems, Control
  subject:
    topic: Systems Theory, Control
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: Integral Equations
  subject:
    topic: Computational Science and Engineering
  classification: TA355
  classification: TA352-356
  classification: 620
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Mathematical Engineering
  identifier: 9783319042954
  identifier: http://dx.doi.org/10.1007/978-3-319-04295-4
  record info:
    record creation date: 140109
    record change date: 20151030031308.0
    record identifier: 978-3-319-04295-4