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TU Delft OPEN Publishing

Numerical Methods for Ordinary Differential Equations

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TitleNumerical Methods for Ordinary Differential Equations
ContributorKees Vuik(author)
DOIhttps://doi.org/10.5074/t.2023.001
Landing pagehttps://textbooks.open.tudelft.nl/textbooks/catalog/book/57
Licensehttps://creativecommons.org/licenses/by/4.0/
CopyrightKees Vuik
PublisherTU Delft OPEN Publishing
Published on2023-02-08
Long abstract<p>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.<br />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. Extra information about this course can be found at http://NMODE.ewi.tudelft.nl, among which old exams, answers to the exercises, and a link to an online education platform. We thank Matthias Moller for his thorough reading of the draft of this book and his helpful suggestions.</p>
Contributors

Kees Vuik

(author)
https://orcid.org/0000-0002-5988-9153

<p>Prof.dr.ir. C. (Kees) Vuik is a Full Professor in Numerical Analysis at the Delft Institute of Applied Mathematics of the TU Delft in The Netherlands. He obtained his PhD degree from Utrecht University in 1988. Thereafter he joined the TU Delft as an assistant professor in the section Numerical Analysis. His research is related to the discretization of partial differential equations, moving boundary problems, High-Performance Computing, and iterative solvers for large linear systems originating from incompressible fluid flow; wave equations; and energy networks. He has teached the numerical analysis course for more than 30 years.</p>