Finite Difference Computing with Exponential Decay Models

• Main Author: Langtangen, Hans Petter (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Lecture Notes in Computational Science and Engineering, 110
• Subjects: Mathematics.; Computer programming.; Software engineering.; Computer mathematics.; Physics.; Applied mathematics.; Engineering mathematics.; Computational Science and Engineering.; Programming Techniques.; Software Engineering.; Numerical and Computational Physics.; Appl.Mathematics/Computational Methods of Engineering.
• Physical Description: XIV, 200 p. 29 illus. online resource.
• ISBN: 9783319294391
• ISSN: 1439-7358 ;
• Access: Open Access

This text provides a very simple, initial introduction to the complete scientific computing pipeline: models, discretization, algorithms, programming, verification, and visualization. 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. .