Finite Difference Computing with Exponential Decay Models

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 p...

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Bibliographic Details
Main Author: Langtangen, Hans Petter (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Lecture Notes in Computational Science and Engineering, 110
Subjects:
Online Access:Link to Metadata
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490 1 |a Lecture Notes in Computational Science and Engineering,  |x 2197-7100 ;  |v 110 
505 0 |a Preface -- Algorithms and implementations -- Analysis -- Generalizations -- Models -- Scientific Software Engineering -- References -- Index. . 
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520 |a 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. . 
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