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. .
9783319294391
10.1007/978-3-319-29439-1 doi
Mathematics-Data processing. Computer programming. Software engineering. Mathematical physics. Engineering mathematics. Engineering-Data processing. Computational Science and Engineering. Programming Techniques. Software Engineering. Theoretical, Mathematical and Computational Physics. Mathematical and Computational Engineering Applications.