AuthorsH. P. Langtangen
TitleFinite Difference Computing with Exponential Decay Models
AfilliationBiomedical Computing, Center for Biomedical Computing (SFF), 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.