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Introduction to Numerical Methods for Time Dependent Differential Equations

ISBN: 9781118838952 | 1118838955
Format: Hardcover
Publisher: Wiley
Pub. Date: 4/7/2014

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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

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