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Iteration Methods for Non-Linear Problems

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Description

The methods of successive displacements or relaxation methods are investigated for a class of nonlinear problems. In particular it is shown that these methods are applicable to a large class of nonlinear problems arising from variational problems which yield elliptic equations. Constructive existence and uniqueness theorems are presented for the discrete problem and criteria are given for a practical method of obtaining solutions. The example of a discrete Plateau problem is used to illustrate the feasibility of the results. The processes are also shown to apply to uniformly elliptic problems.

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22 pages

Creation Information

Schechter, Samuel May 1, 1961.

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Description

The methods of successive displacements or relaxation methods are investigated for a class of nonlinear problems. In particular it is shown that these methods are applicable to a large class of nonlinear problems arising from variational problems which yield elliptic equations. Constructive existence and uniqueness theorems are presented for the discrete problem and criteria are given for a practical method of obtaining solutions. The example of a discrete Plateau problem is used to illustrate the feasibility of the results. The processes are also shown to apply to uniformly elliptic problems.

Physical Description

22 pages

Notes

Digitized from microopaque cards (1).

Contract No. AT(30-1)-1480.

Includes bibliographical references (page 22)

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  • OCLC: #
  • SuDoc Number: Y 3.At 7:22/NYO-9497
  • Report No.: NYO-9497
  • Accession or Local Control No: metadc1463625
  • Archival Resource Key: ark:/67531/metadc1463625

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TRAIL Microcard Collection

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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  • May 1, 1961

Added to The UNT Digital Library

  • Sept. 2, 2021, 4:32 p.m.

Description Last Updated

  • Sept. 11, 2023, 12:56 p.m.

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Schechter, Samuel. Iteration Methods for Non-Linear Problems, report, May 1, 1961; Washington D.C.. (https://digital.library.unt.edu/ark:/67531/metadc1463625/: accessed December 12, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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