Finite Difference Computing with Exponential Decay Models
Author(s):
Hans Petter Langtangen
Open Access: BY-NC 4.0
Publication Date
Available in all formats
Publisher: Springer Nature
Description
Table of contents
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.
Description
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
- Cover
- Front Matter
- 1. Algorithms and Implementations
- 2. Analysis
- 3. Generalizations
- 4. Models
- 5. Scientific Software Engineering
- Back Matter