An interrelated account of many of the most important finite difference methods and their results, this text is geared toward upper-level undergraduates and graduate students. Topics include hyperbolic equations in two independent variables, parabolic and elliptic equations, and initial-value problems in more than two independent variables. 1960 edition. Unabridged republication of the edition published by John Wiley & Sons, Inc., New York, 1960.
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Applied Partial Differential Equations by Paul DuChateau, David Zachmann Book focuses mainly on boundary-value and initial-boundary-value problems on spatially bounded and on unbounded domains; integral transforms; uniqueness and continuous dependence on data, first-order equations, and more. Numerous exercises included.
Differential Equations: Geometric Theory by Solomon Lefschetz Geared toward upper-level undergraduates and graduate students, this text investigates nonlinear differential equations of the second order and includes an extensive overview of the classical literature. 1957 edition.
