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Finite Difference Computing with Exponential Decay Models
: Hans Petter Langtangen
: Finite Difference Computing with Exponential Decay Models
: Springer
: 2016
ISBN: 978-3319294384
: Lecture Notes in Computational Science and Engineering (Book 110)
: English
: pdf
: 10 mb
: 200

Prerequisite knowledge for this book is basic one-dimensional calculus and preferably some experience with computer programming in Python or MATLAB. The material was initially written for self study and therefore features comprehensive and easy-to-understand explanations. For some readers it may act as an overview and refresher of traditional mathematical topics and likely a first introduction to many of the software topics. The text can also be used as a case-based and mathematically simple introduction to modern multi-disciplinary problem solving with computers, using the range of applications in Chap. 4 as motivation and then treating the details of the mathematical and computer science subjects from the other chapters. In particular. 1 have also had in mind the new groups of readers from bio- and geo-sciences who need to enter the world of computer-based differential equation modeling, but lack experience with (and perhaps also interest in) mathematics and programming.

The pedagogical strategy is to use one case study an ordinary differential equation describing exponential decay processes to illustrate fundamental concepts in mathematics and computer science. The book is easy to read and only requires a command of one-variable calculus and some very basic knowledge about computer programming. Contrary to similar texts on numerical methods and programming, this text has a much stronger focus on implementation and teaches testing and software engineering in particular.

: daromir 13-07-2016, 11:26 | |
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