Superb introduction to numerical methods for solving partial differential equations, 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, with solutions for many at end of book.
Here's a sample of other books in this Dover category
Partial Differential Equations: Sources and Solutions by Arthur David Snider This newly updated text explores the solution of partial differential equations by separating variables, reviewing the tools for the technique, and examining the algorithmic nature of the process. 1999 edition.
Elements of Partial Differential Equations by Ian N. Sneddon This text features numerous worked examples in its presentation of elements from the theory of partial differential equations, emphasizing forms suitable for solving equations. Solutions to odd-numbered problems appear at the end. 1957 edition.
Partial Differential Equations: An Introduction by David Colton This text offers students in mathematics, engineering, and the applied sciences a solid foundation for advanced studies in mathematics. Features coverage of integral equations and basic scattering theory. Includes exercises, many with answers. 1988 edition.
An Introduction to Identification by J. P. Norton Suitable for advanced undergraduates and graduate students, this text covers the theoretical basis for mathematical modeling as well as a variety of identification algorithms and their applications. 1986 edition.
Finite-Difference Methods for Partial Differential Equations by George E. Forsythe, Wolfgang R. Wasow An interrelated account of difference methods and results, this text covers hyperbolic equations in two independent variables, parabolic and elliptic equations, and initial-value problems in more than two independent variables. 1960 edition.
A Second Course in Elementary Differential Equations by Paul Waltman Focusing on applicable rather than applied mathematics, this text is appropriate for advanced undergraduates majoring in any discipline. The author emphasizes basic real analysis as well as differential equations. 1986 edition. Includes 39 figures.
The Finite Element Method: Linear Static and Dynamic Finite Element Analysis by Thomas J. R. Hughes Text for students without in-depth mathematical training, this text includes a comprehensive presentation and analysis of algorithms of time-dependent phenomena plus beam, plate, and shell theories. Solution guide available upon request.
