Index

Symbols

2nd-order Runge-Kutta method

A

algorithm allocate argument keyword named ordinary positional array, [1] element index slice of sorting asarray (function)

assert (function) assignment atan axis (plot)

B

boolean False True expression boundary conditions

brute force method bug, [1], [2]

C

C C++ calculator cell class closure code exception re-use, [1] robust try-except colon comment

commenting code compartment model composite midpoint method composite trapezoidal rule computational speed (measuring) computer program convergence rate copy Crank-Nicolson method, [1]

D

debugger debugging, [1], [2] def default demo function difference absolute backward centered forward, [1] relative differential equation first-order second-order diffusion equation

discontinuous coefficient divergence doc string DocOnce domain, [1], [2], [3] complex double integral midpoint double sum dynamical system

E

elif else Emacs, [1] error asymptotic function (erf) message rounding tolerance Euler pi

Euler's method exception handling execute (a program) exit (sys) exp math notation

F

False fast code finite difference method finite precision (of float) flat program float floating point number (float) for loop

format png Fortran forward difference approximation Forward Euler scheme Fourier series from function, [1] asarray assert call definition global handle input parameter local nested output parameter return take a parameter

G

garbage collection Gauss quadrature

Gedit, [1] graph

H

hardcopy (plot) heat equation

Heun's method hold (on/off)

I

Idle if implement (a program) implementation general specific import math matplotlib.pyplot module numpy random (function) indent indexing one based zero based initial conditions input

instability instruction int integer division integral analytically approximately exact numerically integration points interactive use (of Python) IPython, [1]

K

keyboard arrow up/down

L

lambda function language computer programming Laplace equation least squares method legend (plot) Leibniz pi library SymPy function linear algebra, [1]

linear interpolation linspace list, [1] append comprehension convert to array create delete loadtxt logistic model carrying capacity long lines (splitting of) loop double for index, [1] infinite iteration, [1] multiple nested while

M

main program Maple math Mathematica, [1] mathematical modeling MATLAB matplotlib.pyplot matrix mat tridiagonal vector product

mesh points, [1] uniform method of lines, [1] Midpoint method model computational differential equation mathematical, [1] module, [1] MOL forward Euler Monte Carlo integration

N

NameError Newton starting value nonlinear algebraic equation nose (testing)

Notepad++, [1] numerical scheme numpy

O

object Octave

ODE scalar vector operator Arithmetic Logical

P

package parameter input output parentheses PDE plot, [1] figure Poisson equation print printf formatting

printing formatted program crash execute, [1] flat input output run, [1] statement testing typing verification programming game prompt, [1] pseudo code py.test Python documentation installation shell zero-based indexing

R

random (function) random walk range rate of convergence, [1] raw input read (from file) reserved words

resonance return None value RK2 root finding rounding error, [1] Runge-Kutta, 2nd-order method Runge-Kutta-Fehlberg

S

Sage (symbolic package) savetxt scalar ODE scaling, [1] scheme script (and scripting) second-order ODE rewritten as two first-order ODEs seed (random generators) simple pendulum Simpson's rule simulation SIR model

source term spring damping of, [1] linear nonlinear oscillations Spyder stability criterion stop program (Ctrl+c) str symbolic computations operations simplifications SymPy syntax sys.exit system of ODEs

T

Taylor series test block test function testing testing procedures text editor TextWrangler, [1] theta rule title (plot)

transpose (of matrix) Trapezoidal rule tridiagonal matrix triple integral midpoint True try-exception tuple, [1] type conversion automatic

U

unit tests

unstable solutions

V

validation variable assignment delete float global int local name str type vector vector ODE

vectorization, [1] verification Verlet integration Vim, [1]

W

WARNING while loop

WolframAlpha write (to file)

X

xlabel

Y

ylabel

Z

zeros