Index

A

A-stable methods Adams-Bashforth scheme, 2nd-order Adams-Bashforth scheme, 3rd order adaptive time stepping algebraic equation amplification factor

argparse (Python module) ArgumentParser (Python class) array arithmetics, [1] array computing, [1] averaging arithmetic geometric

B

backward difference Backward Euler scheme backward scheme, 1-step

backward scheme, 2-step BDF2 scheme

C

centered difference chemical reactions irreversible reversible command-line arguments, [1] consistency continuous function norms

convergence convergence rate Crank-Nicolson scheme cropping images

D

debugging decay ODE difference equation directory discrete equation discrete function norms

Distutils doc strings DocOnce doctest in test function doctests Dormand-Prince Runge-Kutta 4-5 method

E

EPS plot error amplification factor global norms

explicit schemes exponential decay

F

finite difference operator notation finite difference scheme finite differences backward centered forward folder

format string syntax (Python) forward difference Forward Euler scheme

G

geometric mean GitHub

Google Docs grid

H

Heun's method

HTML

I

implicit schemes importing modules, [1] interactive Python

IPython notebooks isympy

J

Jupyter notebooks

K

Kelvin-Voigt material model

L

L-stable methods lambda functions LaTeX Leapfrog scheme Leapfrog scheme, filtered LibreOffice

list comprehension logger logging module logistic model Lotka-Volterra model

M

Markdown MathJax mesh mesh function mesh function norms

method of manufactured solutions MMS (method of manufactured solutions) montage program Monte Carlo simulation

N

norm continuous discrete (mesh function)

nose

O

ode45 OpenOffice operator notation, finite differences

option-value pairs (command line) os.system

P

PDF plot pdfcrop program pdfnup program pdftk program plotting curves PNG plot

population dynamics predator-prey model printf format problem class pytest

R

radioactive decay reading the command line refactoring relative differences, [1] replicability, [1]

representative (mesh function) reproducibility RK4 Runge-Kutta, 2nd-order method Runge-Kutta, 4th-order method

S

scalar computing scaling setup.py software testing doctests nose pytest test function unit testing (class-based) solver class

Sphinx (typesetting tool) stability, [1] sympy sys.argv

T

Taylor-series methods (for ODEs) terminal velocity test function, [1], [2]

TestCase (class in unittest) theta-rule, [1], [2], [3] time step

U

uncertainty quantification unit testing, [1], [2]

unittest, [1] Unix wildcard notation

V

vectorization, [1] verification viewing graphics files

viscoelasticity visualizing curves

W

weighted average wildcard notation (Unix)

Word (Microsoft) wrapper (code)