Index

Symbols

2nd-order Runge-Kutta method

A

algorithm allocate anonymous function argument array, [1] element index slice of sorting

assert (function) assignment atan axis (plot)

B

boolean expression false (0) true (1) boundary conditions

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

C

C C++ calculator cell code exception re-use, [1] robust try-catch 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] default, [1] 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 (precision) double integral midpoint double sum dynamical system

E

else elseif Emacs end error asymptotic function (erf) message rounding tolerance

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

F

false (0) 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 function, [1] anonymous assert call definition global handle input parameter local nargin nargout nested output parameter return take a parameter

G

Gauss quadrature Gedit

graph

H

hardcopy (plot) heat equation

Heun's method hold (on/off)

I

if implement (a program) implementation general specific indexing one based zero based initial conditions input

instability instruction integer integral analytically approximately exact numerically integration points interactive use (of Matlab)

K

keyboard arrow up/down

L

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

linear interpolation linspace logistic model carrying capacity long lines (splitting of) loop double for index, [1] infinite iteration, [1] multiple nested while

M

m-file main program Maple Mathematica, [1] mathematical modeling MATLAB Matlab documentation indent licence one-based indexing

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

N

Newton starting value nonlinear algebraic equation

Notepad++ numerical scheme

O

Octave ODE scalar vector ode23s

ode45 operator Arithmetic Logical

P

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 Python

R

rand (function) random walk rate of convergence, [1] read (from file) reserved words resonance

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

S

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

single (precision) SIR model source term spring damping of, [1] linear nonlinear oscillations stability criterion stop program (Ctrl+c) string symbolic computations operations simplifications Symbolic Toolbox syntax system of ODEs

T

Taylor series test function testing testing procedures text editor TextWrangler theta rule

title (plot) Trapezoidal rule tridiagonal matrix triple integral midpoint true (1) try-catch type conversion

U

unit tests

unstable solutions

V

validation variable assignment delete float global integer local name string type vector vector ODE

vectorization, [1] verification Verlet integration Vim

W

while loop WolframAlpha

write (to file)

X

xlabel

Y

ylabel

Z

zeros