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Randwertaufgaben bei Systemen von linearen partiellen Differentialgleichungen erster OrdnungHurwitz, Wallie Abraham, January 1910 (has links)
Thesis--Göttingen. / Part of the Cornell Digital Library Math Collection. Cover title. Vita. Includes bibliographical references.
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Sur l'intégration des équations aux dérivées partielles du second ordre par la méthode des caractéristiquesCoulon, Joseph. January 1902 (has links)
Thèse--Université de Paris.
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Beiträge zu einem Abschätzungsverfahren für Lösungen der partiellen Differentialgleichung ₂U=L(U) in hyperbolischen Räumen beliebiger DimensionTheissen, Winfried. January 1967 (has links)
Issued also as thesis, Bonn. / Added t. p. with thesis statement. Bibliography: p. 61.
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Über die Abschätzung von Los̈ungen gewisser partieller Differentialgleichungen vom elliptischen TypusBauer, Karl Wilhelm. January 1960 (has links)
Issued also as thesis, Bonn. / Added t.p. with thesis statement. Includes bibliographical references (p. 123-125).
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Sur une équation aux dérivées fonctionnelles partielles et sur une généralisation du théorème de Jacobi ...Juvet, Gustave, January 1926 (has links)
Thèse--Université de Paris. / Includes bibliographical references.
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On a solution of Laplace's equation with an application to the torsion problem for a polygon with reentrant anglesSokolnikoff, Ivan Stephen, January 1930 (has links)
Thesis (Ph. D.)--University of Wisconsin--Madison, 1930. / Typescript. With this is bound an abstract. Reprinted from the Transactions of the American mathematical society, v. 33, p. 719-732. eContent provider-neutral record in process. Description based on print version record.
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Randwertaufgaben bei Systemen von linearen partielle Differentialgleichungen erster OrdnungHurwitz, Wallie Abraham, January 1910 (has links)
Thesis--Göttingen. / Cover title. Vita. Bibliographical footnotes.
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Cell-population growth modelling and nonlocal differential equations : a thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics at the University of Canterbrury /Begg, Ronald. January 2007 (has links)
Thesis (Ph. D.)--University of Canterbury, 2007. / Typescript (photocopy). Includes bibliographical references (p. 199-204). Also available via the World Wide Web.
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Periodic solutions of parabolic partial differential equations /Farlow, Stanley J., January 1968 (has links)
Thesis (Ph. D.)--Oregon State University, 1968. / Typescript (photocopy). Includes bibliographical references (leaves 54-55). Also available on the World Wide Web.
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Hybrid computer solutions of partial differential equations by Monte Carlo methodsLittle, Warren David January 1965 (has links)
A continuous Markov process is examined for the purpose of developing Monte Carlo methods for solving partial differential equations. Backward Kolmogorov equations for conditional probability density functions and more general equations satisfied by auxiliary probability density functions are derived. From these equations and the initial and boundary conditions that the density functions satisfy, it is shown that solutions of partial differential equations at an interior point of a region can be written as the expected value of randomly-selected initial and boundary values. From these results, Monte Carlo methods for solving homogeneous and nonhomogeneous elliptic, and homogeneous parabolic partial differential equations are proposed.
Hybrid computer techniques for mechanizing the Monte Carlo methods are given. The Markov process is simulated on the analog computer and the digital computer is used to control the analog computer and to form the required averages. Methods for detecting the boundaries of regions using analog function generators and electronic comparators are proposed.
Monte Carlo solutions are obtained on a hybrid system consisting of a PACE 231 R-V analog computer and an ALWAC III-E digital computer. The interface for the two computers and a multichannel discrete-interval binary-noise source are described.
With this equipment, solutions having a small variance are obtained at a rate of approximately five minutes per solution.
Example solutions are given for Laplace's equation in two and three dimensions, Poisson's equation in two dimensions and the heat equation in one, two and three dimensions. / Applied Science, Faculty of / Electrical and Computer Engineering, Department of / Graduate
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