**by Kees Vuik, Fred Vermolen, Martin van Gijzen**

DescriptionTable of ContentsDetailsHashtagsReport an issue ### Book Description

In this book we discuss several numerical methods for solving ordinary differential equations. We emphasize the aspects that play an important role in practical problems. We conﬁne ourselves to ordinary differential equations with the exception of the last chapter in which we discuss the heat equation, a parabolic partial differential equation. The techniques discussed in the intro-ductory chapters, for instance interpolation, numerical quadrature and the solution to nonlinear equations, may also be used outside the context of differential equations. They have been in-cluded to make the book self-contained as far as the numerical aspects are concerned. Chapters, sections and exercises marked with a * are not part of the Delft Institutional Package.

The numerical examples in this book were implemented in Matlab, but also Python or any other programming language could be used. A list of references to background knowledge and related literature can be found at the end of this book. ### Table of Contents

### Book Details

### Related Books

The numerical examples in this book were implemented in Matlab, but also Python or any other programming language could be used. A list of references to background knowledge and related literature can be found at the end of this book.

This open book is licensed under a Creative Commons License (CC BY). You can download Numerical Methods for Ordinary Differential Equations ebook for free in PDF format (2.0 MB).

Chapter 1

Introduction

Chapter 2

Interpolation

Chapter 3

Numerical differentiation

Chapter 4

Nonlinear equatitons

Chapter 5

Numerical integration

Chapter 6

Numberical time integration of initial-value problems

Chapter 7

The finite-difference method for boundary-value problems

Chapter 8

The instationary heat equation

Title

Numerical Methods for Ordinary Differential Equations

Subject

Science and Mathematics

Publisher

TU Delft Open

Published

2023

Pages

134

Edition

1

Language

English

ISBN13 Digital

9789463666657

ISBN10 Digital

9463666656

PDF Size

2.0 MB

License

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