AuthorsH. P. Langtangen
TitleFinite Difference Computing with Exponential Decay Models
AfilliationScientific Computing, , Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
Publication TypeBook
Year of Publication2016
Number of PagesXIV, 200
PublisherLecture Notes in Computer Science, Springer. Verlag
Place PublishedBerlin Heidelberg

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.