Abstract

Citation

Researchers should cite this work as follows:

• Eriksson, K. D. (2023). 2009-Eriksson- Estep-Hansho-Johnson-Computational Differential Equations. SIMIODE, QUBES Educational Resources. doi:10.25334/G45M-KC45

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Article Context

Description

Eriksson, K., D. Estep, P. Hansho, C. Johnson. 2009. Computational Differential Equations. Text. 521 pp. 

http://www.thebookishblog.com/computational-differential-equations.pdf . Accessed 1 April 2023.

From the Preface, “This book, together with the companion volumes Introduction to Computational

Differential Equations and Advanced Computational Differential Equations, presents a unified approach to computational mathematical modeling using differential equations based on a principle of a fusion of mathematics and computation. The book is motivated by the rapidly increasing dependence on numerical methods in mathematical modeling driven by the development of powerful computers accessible to everyone. Our goal is to provide a student with the essential theoretical and computational tools that make it possible to use differential equations in mathematical modeling in science and engineering effectively. The backbone of the book is a new unified presentation of numerical solution techniques for differential equations based on Galerkin methods.”

While the text presents a good bit of theoretical under pinning, e.g., the fundamentals of the limit based calculus and a review of the basics of linear algebra, it offers some indications of models and renders provocative problems throughout. However, much of the text is proof-based.

The work is very rich in history and literary and artistic quotes

Keywords: numerical methods, Galerkin