Thesis (doctoral)--Georg-August-Universität zu Göttingen, 1910. / Cover title. Vita. Includes bibliographical references.

Thesis (doctoral)--Faculté des sciences de Paris, 1879.

Thesis (doctoral)--Faculté des sciences de Paris, 1913.

Thesis (Ph. D.)--University of Texas at Austin, 2001. / Vita. Includes bibliographical references (leaves 149-153). Available also in a digital version from Dissertation Abstracts.

Thesis (M.S.)--Boise State University, 2009. / Includes abstract. Includes bibliographical references (leaf 34).

Thesis (Ph. D.)--University of Washington, 2002. / Vita. Includes bibliographical references (p. 165-174).

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The algebraic equations resulting from a finite difference approximation may be solved numerically. A new scheme that appears quite promising is the method of residual expansion functions. In addition to speedy convergence, it is also independent of the number of algebraic equations under consideration, hence enabling us to analyze larger systems with higher accuracies. A factor which plays an important role in convergence of some numerical schemes is the concept of diagonal dominance. Matrices that converge at high rates are indeed the ones that possess a high degree of diagonal dominance. Another attractive feature of the method of residual expansion functions is its accurate convergence with minimal degree of diagonal dominance. Methods such as simultaneous and successive displacements, Chebyshev and projection are also discussed, but unlike the method of residual expansion functions, their convergence rates are strongly dependent on the degree of diagonal dominance.

Thesis (MTech. : Mathematical Technology.)--Tshwane University of Technology, 2008.