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.
Here's a sample of other books in this Dover category
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.
Variational Methods for Boundary Value Problems: for Systems of Elliptic Equations by M. A. Lavrent’ev A distinguished Russian mathematical scholar presents an innovative approach to classical boundary value problems. Features variational principles of the theory of conformal mapping, hydrodynamic applications, quasi-conformal mappings, linear systems, more.
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.
