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 array computing averaging arithmetic geometric

B

backward difference Backward Euler scheme backward scheme, 1-step

backward scheme, 2-step BDF2 scheme

C

centered difference command-line arguments command-line options and values consistency continuous function norms

convergence convergence rate Crank-Nicolson scheme cropping images

D

decay ODE dictionary difference equation directory discrete equation

discrete function norms doc strings 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

grid

H

Heun's method

I

implicit schemes

importing modules

L

L-stable methods lambda functions Leapfrog scheme

Leapfrog scheme, filtered list comprehension logistic model

M

mesh mesh function mesh function norms method of manufactured solutions

MMS (method of manufactured solutions) modules montage program

N

norm continuous discrete (mesh function) nose testing of doctests

nose tests numerical experiments

O

ode45 operator notation, finite differences

option-value pairs (command line) os.system

P

PDF plot pdfcrop program pdfnup program pdftk program plotting curves

PNG plot Popen (in subprocess module) population dynamics printf format problem class, [1]

R

radioactive decay reading the command line, [1] representative (mesh function)

RK4 Runge-Kutta, 2nd-order scheme Runge-Kutta, 4th-order scheme

S

scalar computing scaling scientific experiments script software testing doctests nose nose w/doctests unit testing (class-based)

solver class, [1] stability, [1] subprocess (Python module) sys.argv

T

Taylor-series methods (for ODEs) terminal velocity test block (in Python modules)

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

U

unit testing, [1] unittest, [1]

Unix wildcard notation user interfaces to programs

V

verification viewing graphics files

visualizer class, [1] visualizing curves

W

weighted average wildcard notation (Unix)

wrapper (code)