The Numerical Solution of a Parabolic System of Differential Equations Arising in Shallow Water Theory

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"A finite difference approximation to a non-linear set of parabolic differential equations arising in shallow water theory is given. These difference equations were used to determine the shape and rate of propagation of a hum of fluid down a channel of constant depth. The hump of fluid was found to spread instead of steepen, as is the case in the usual shallow water theory."

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20 pages : illustrations

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Heller, Jack & Isaacson, Eugene October 15, 1960.

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"A finite difference approximation to a non-linear set of parabolic differential equations arising in shallow water theory is given. These difference equations were used to determine the shape and rate of propagation of a hum of fluid down a channel of constant depth. The hump of fluid was found to spread instead of steepen, as is the case in the usual shallow water theory."

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20 pages : illustrations

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Digitized from microopaque cards (1).

Includes bibliographical references (page 16)

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  • OCLC: #
  • SuDoc Number: Y 3.At 7:22/NYO-9372
  • Report No.: NYO-9372
  • Accession or Local Control No: metadc1463594
  • Archival Resource Key: ark:/67531/metadc1463594

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Imaged from microcard, these technical reports describe research performed for U.S. government agencies from the 1930s to the 1960s. The reports were provided by the Technical Report Archive and Image Library (TRAIL).

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  • October 15, 1960

Added to The UNT Digital Library

  • Sept. 2, 2021, 4:30 p.m.

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  • July 24, 2023, 10:06 a.m.

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Heller, Jack & Isaacson, Eugene. The Numerical Solution of a Parabolic System of Differential Equations Arising in Shallow Water Theory, report, October 15, 1960; Washington D.C.. (https://digital.library.unt.edu/ark:/67531/metadc1463594/: accessed May 24, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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