Finite Difference Computing with Exponential Decay Models

Finite Difference Computing with Exponential Decay Models

English | 2016 | ISBN: 978-3-319-29438-4 | 200 Pages | PDF | 10 MB

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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