LOCA 1.0 Library of Continuation Algorithms: Theory and Implementation Manual

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LOCA, the Library of Continuation Algorithms, is a software library for performing stability analysis of large-scale applications. LOCA enables the tracking of solution branches as a function of a system parameter, the direct tracking of bifurcation points, and, when linked with the ARPACK library, a linear stability analysis capability. It is designed to be easy to implement around codes that already use Newton's method to converge to steady-state solutions. The algorithms are chosen to work for large problems, such as those that arise from discretizations of partial differential equations, and to run on distributed memory parallel machines. This manual presents ... continued below

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84 pages

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SALINGER, ANDREW G.; BOU-RABEE, NAWAF M.; BURROUGHS,ELIZABETH A.; PAWLOWSKI, ROGER P.; LEHOUCQ, RICHARD B.; ROMERO, LOUIS et al. March 1, 2002.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM, and Livermore, CA (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

LOCA, the Library of Continuation Algorithms, is a software library for performing stability analysis of large-scale applications. LOCA enables the tracking of solution branches as a function of a system parameter, the direct tracking of bifurcation points, and, when linked with the ARPACK library, a linear stability analysis capability. It is designed to be easy to implement around codes that already use Newton's method to converge to steady-state solutions. The algorithms are chosen to work for large problems, such as those that arise from discretizations of partial differential equations, and to run on distributed memory parallel machines. This manual presents LOCA's continuation and bifurcation analysis algorithms, and instructions on how to implement LOCA with an application code. The LOCA code is being made publicly available at www.cs.sandia.gov/loca.

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84 pages

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  • Other Information: PBD: 1 Mar 2002

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  • Report No.: SAND2002-0396
  • Grant Number: AC04-94AL85000
  • DOI: 10.2172/800778 | External Link
  • Office of Scientific & Technical Information Report Number: 800778
  • Archival Resource Key: ark:/67531/metadc737313

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  • March 1, 2002

Added to The UNT Digital Library

  • Oct. 19, 2015, 7:39 p.m.

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  • April 11, 2016, 6:12 p.m.

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SALINGER, ANDREW G.; BOU-RABEE, NAWAF M.; BURROUGHS,ELIZABETH A.; PAWLOWSKI, ROGER P.; LEHOUCQ, RICHARD B.; ROMERO, LOUIS et al. LOCA 1.0 Library of Continuation Algorithms: Theory and Implementation Manual, report, March 1, 2002; Albuquerque, New Mexico. (https://digital.library.unt.edu/ark:/67531/metadc737313/: accessed July 20, 2019), University of North Texas Libraries, Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.