Finite Difference Computing with Exponential Decay Models
- Length: 200 pages
- Edition: 1st ed. 2016
- Language: English
- Publisher: Springer
- Publication Date: 2016-07-12
- ISBN-10: 3319294385
- ISBN-13: 9783319294384
- Sales Rank: #6836186 (See Top 100 Books)
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.
Table of Contents
Chapter 1 Algorithms and Implementations
Chapter 2 Analysis
Chapter 3 Generalizations
Chapter 4 Models
Chapter 5 Scientific Software Engineering