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Numerical Methods for Ordinary Differential Equations

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Numerical Methods for Ordinary Differential Equations
by Kees Vuik, Fred Vermolen, Martin van Gijzen
Paperback
134 pages
Chapter 1Introduction
Chapter 2Interpolation
Chapter 3Numerical differentiation
Chapter 4Nonlinear equatitons
Chapter 5Numerical integration
Chapter 6Numberical time integration of initial-value problems
Chapter 7The finite-difference method for boundary-value problems
Chapter 8The instationary heat equation
"Numerical Methods for Ordinary Differential Equations" by Kees Vuik, Fred Vermolen, and Martin van Gijzen is a textbook focused on the numerical techniques used to solve ordinary differential equations (ODEs). The book introduces key methods such as Euler’s method, Runge-Kutta methods, and multistep methods, while also covering stability, error analysis, and convergence. It is designed for students and professionals in applied mathematics, engineering, and computational science. The text includes practical examples, exercises, and clear explanations of the mathematical concepts behind these methods, making it a valuable resource for those working with ODEs in various fields.
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