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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: