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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Main Author: Langtangen, Hans Petter
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2016, 2016
Edition:1st ed. 2016
Series:Lecture Notes in Computational Science and Engineering
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Finite Difference Computing with Exponential Decay Models  |h Elektronische Ressource  |c by Hans Petter Langtangen 
250 |a 1st ed. 2016 
260 |a Cham  |b Springer International Publishing  |c 2016, 2016 
300 |a XIV, 200 p. 29 illus  |b online resource 
505 0 |a Preface -- Algorithms and implementations -- Analysis -- Generalizations -- Models -- Scientific Software Engineering -- References -- Index. 
653 |a Applied mathematics 
653 |a Computational Science and Engineering 
653 |a Software engineering 
653 |a Engineering mathematics 
653 |a Computer programming 
653 |a Programming Techniques 
653 |a Software Engineering 
653 |a Numerical and Computational Physics, Simulation 
653 |a Mathematical and Computational Engineering 
653 |a Computer mathematics 
653 |a Physics 
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490 0 |a Lecture Notes in Computational Science and Engineering 
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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.