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: Numerical Solutions of Partial Differential Equations
  name:
    name part: Bertoluzza, Silvia.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Russo, Giovanni.
    role:
      role term: author.
  name:
    name part: Falletta, Silvia.
    role:
      role term: author.
  name:
    name part: Shu, Chi-Wang.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 202 p. online resource.
  abstract: This volume offers researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and to get in touch with state-of-the-art numerical techniques. The book has three parts. The first one is devoted to the use of wavelets to derive some new approaches in the numerical solution of PDEs, showing in particular how the possibility of writing equivalent norms for the scale of Besov spaces allows to develop some new methods. The second part provides an overview of the modern finite-volume and finite-difference shock-capturing schemes for systems of conservation and balance laws, with emphasis on providing a unified view of such schemes by identifying the essential aspects of their construction. In the last part a general introduction is given to the discontinuous Galerkin methods for solving some classes of PDEs, discussing cell entropy inequalities, nonlinear stability and error estimates.
  table of contents: Wavelets and Partial Differential Equations -- What is a Wavelet? -- The Fundamental Property of Wavelets -- Wavelets for Partial Differential Equations -- High-Order Shock-Capturing Schemes for Balance Laws -- Upwind Scheme for Systems -- The Numerical Flux Function -- Nonlinear Reconstruction and High-Order Schemes -- Central Schemes -- Systems with Stiff Source -- Discontinuous Galerkin Methods: General Approach and Stability -- Time Discretization -- Discontinuous Galerkin Method for Conservation Laws -- Discontinuous Galerkin Method for Convection-Diffusion Equations -- Discontinuous Galerkin Method for PDEs Containing Higher-Order Spatial Derivatives.
  note: by Silvia Bertoluzza, Giovanni Russo, Silvia Falletta, Chi-Wang Shu.
  subject:
    topic: Mathematics
  subject:
    topic: Partial differential equations
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Numerical Analysis
  subject:
    topic: Partial Differential Equations
  classification: QA297-299.4
  classification: 518
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Advanced Courses in Mathematics - CRM Barcelona
  identifier: 9783764389406
  identifier: http://dx.doi.org/10.1007/978-3-7643-8940-6
  record info:
    record creation date: 100301
    record change date: 20151204152301.0
    record identifier: 978-3-7643-8940-6