Second-Order Accurate Projective Integrators for Multiscale Problems Metadata

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Title

  • Main Title Second-Order Accurate Projective Integrators for Multiscale Problems

Creator

  • Author: Lee, S L
    Creator Type: Personal
  • Author: Gear, C W
    Creator Type: Personal

Contributor

  • Sponsor: United States. Department of Energy.
    Contributor Type: Organization

Publisher

  • Name: Lawrence Livermore National Laboratory
    Place of Publication: Livermore, California
    Additional Info: Lawrence Livermore National Laboratory (LLNL), Livermore, CA

Date

  • Creation: 2005-05-27

Language

  • English

Description

  • Content Description: We introduce new projective versions of second-order accurate Runge-Kutta and Adams-Bashforth methods, and demonstrate their use as outer integrators in solving stiff differential systems. An important outcome is that the new outer integrators, when combined with an inner telescopic projective integrator, can result in fully explicit methods with adaptive outer step size selection and solution accuracy comparable to those obtained by implicit integrators. If the stiff differential equations are not directly available, our formulations and stability analysis are general enough to allow the combined outer-inner projective integrators to be applied to black-box legacy codes or perform a coarse-grained time integration of microscopic systems to evolve macroscopic behavior, for example.
  • Physical Description: PDF-file: 27 pages; size: 0.3 Mbytes

Subject

  • Keyword: Differential Equations
  • Keyword: Stability
  • Keyword: Accuracy
  • STI Subject Categories: 99 General And Miscellaneous//Mathematics, Computing, And Information Science

Source

  • Journal Name: Journal of Computational and Applied Mathematics, n/a, n/a, February 13, 2006, pp. 1-25

Collection

  • Name: Office of Scientific & Technical Information Technical Reports
    Code: OSTI

Institution

  • Name: UNT Libraries Government Documents Department
    Code: UNTGD

Resource Type

  • Article

Format

  • Text

Identifier

  • Report No.: UCRL-JRNL-212640
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 893167
  • Archival Resource Key: ark:/67531/metadc873782
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