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Finite Difference Computing with Exponential Decay Models

Publication Date: 2016

ISBN: 978-3-319-29439-1

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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.


Subject: Mathematics and Statistics, Computational Science and Engineering, Programming Techniques, Software Engineering, Numerical and Computational Physics, Simulation, Mathematical and Computational Engineering, ordinary differential equations, exponential decay models, finite difference methods, python programming, software engineering