$$
\newcommand{\half}{\frac{1}{2}}
\newcommand{\tp}{\thinspace .}
\newcommand{\uex}{{u_{\small\mbox{e}}}}
\newcommand{\Aex}{{A_{\small\mbox{e}}}}
\newcommand{\E}[1]{\hbox{E}\lbrack #1 \rbrack}
\newcommand{\Var}[1]{\hbox{Var}\lbrack #1 \rbrack}
\newcommand{\Std}[1]{\hbox{Std}\lbrack #1 \rbrack}
\newcommand{\Oof}[1]{\mathcal{O}(#1)}
\newcommand{\stress}{\boldsymbol{\sigma}}
$$

# Finite Difference Computing with Exponential Decay Models

**Hans Petter Langtangen** [1, 2]

[1] **Center for Biomedical Computing, Simula Research Laboratory**
[2] **Department of Informatics, University of Oslo**

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.

#### Jan 13, 2016

© 2016, Hans Petter Langtangen. Released under CC Attribution 4.0 license