# Introduction to Numerical Methods for Time Dependent Differential Equations

**ISBN 13:**## 9781118838952

**ISBN 10:**## 1118838955

**Format:**Hardcover**Copyright:**04/07/2014**Publisher:**Wiley

Note: Not guaranteed to come with supplemental materials (access cards, study guides, lab manuals, CDs, etc.)

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### Summary

This introductory, self-contained book emphasizes both the fundamentals of time-dependent differential equations and the numerical solutions of these equations.

The book is divided into two parts: Part One deals with ordinary differential equations (ODE) and their approximations. Part Two addresses partial differential equations in one space dimension and their approximations.

Topical coverages includes: first order scalar equations; the method of Euler; higher order methods; the implicit Euler methods, two step and multistep methods; systems of differential equations; Fourier series and interpolation; 1-periodic solutions; approximations of 1-periodic solutions; linear initial-boundary value problems; and nonlinear problems.

*Introduction to Numerical Methods for Time Dependent Differential Equations*:

- Provides topical coverage in a very simplified manner and only in a one space dimension
- Presents the analytic theory and translates it into a theory for difference approximations
- Contains worked out solutions to select answers at the end of the book
- Offers an Instructor's Solution Manual containing the complete solutions (available via written request to the Publisher)
- Classroom-tested and based on course notes used at both UCLA and the National University of Cordoba