Finite Difference Computing with Exponential Decay Models: 2016 (Lecture Notes in Computational Science and Engineering)

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. Hans Petter Langtangen is a professor of computer science at the University of Oslo. He has formerly been a professor of mechanics and is now the director of a Norwegian Center of Excellence: “Center for Biomedical Computing”, at Simula Research Laboratory. Langtangen has published over 100 scientific publications and written several books, including papers and a bestseller TCSE 6 “A Primer on Scientific Programming with Python”, now in its 4th edition. He has also developed open source and commercial software systems for computational sciences. Preface.- Algorithms and implementations.- Analysis.- Generalizations.- Models.- Scientific Software Engineering.- References.- Index.