Alternating Direction and Semi-Explicit Difference Methods for Parabolic Partial Differential Equations

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Description

"The energy method is applied to study the stability of two types of difference approximations to parabolic partial differential equations, the alternating direction methods Douglas, Peaceman, and Rachford, and a new semi- explicit method. Each difference scheme is proved to be unconditionally stable. These results apply to parabolic equations with variable coefficients, defined in cylindrical domains with an essentially arbitrary bounded base."

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34 pages

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Lees, Milton March 1, 1961.

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"The energy method is applied to study the stability of two types of difference approximations to parabolic partial differential equations, the alternating direction methods Douglas, Peaceman, and Rachford, and a new semi- explicit method. Each difference scheme is proved to be unconditionally stable. These results apply to parabolic equations with variable coefficients, defined in cylindrical domains with an essentially arbitrary bounded base."

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34 pages

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Digitized from microopaque cards (2).

Includes bibliographical references (pages 33-34)

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  • SuDoc Number: Y 3.At 7:22/NYO-9494
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  • Accession or Local Control No: metadc1463622
  • Archival Resource Key: ark:/67531/metadc1463622

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  • March 1, 1961

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  • Sept. 2, 2021, 4:32 p.m.

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  • Sept. 7, 2023, 3:50 p.m.

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Lees, Milton. Alternating Direction and Semi-Explicit Difference Methods for Parabolic Partial Differential Equations, report, March 1, 1961; Washington D.C.. (https://digital.library.unt.edu/ark:/67531/metadc1463622/: accessed January 17, 2025), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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