TY - BOOK AU - Langtangen,Hans Petter ED - SpringerLink (Online service) TI - Finite Difference Computing with Exponential Decay Models T2 - Lecture Notes in Computational Science and Engineering, SN - 9783319294391 AV - QA71-90 U1 - 004 23 PY - 2016/// CY - Cham PB - Springer International Publishing, Imprint: Springer KW - Computer mathematics KW - Computer programming KW - Software engineering KW - Physics KW - Applied mathematics KW - Engineering mathematics KW - Computational Science and Engineering KW - Programming Techniques KW - Software Engineering KW - Numerical and Computational Physics, Simulation KW - Mathematical and Computational Engineering N1 - Preface -- Algorithms and implementations -- Analysis -- Generalizations -- Models -- Scientific Software Engineering -- References -- Index.; Open Access N2 - 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. UR - https://doi.org/10.1007/978-3-319-29439-1 ER -