.. Automatically generated Sphinx-extended reStructuredText file from DocOnce source (https://github.com/hplgit/doconce/) .. |nbsp| unicode:: 0xA0 :trim: .. TITLE: A Gentle Introduction to Finite Difference Computing Using Exponential Decay Models: Modeling, Algorithms, Analysis, Programming, and Verification .. TITLE: A Gentle Introduction to Finite Difference Computing Using Exponential Decay Models .. Document title: Finite Difference Computing with Exponential Decay Models %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% :Authors: Hans Petter Langtangen 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. :Date: Jan 13, 2016