Index

A

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

amplification factor 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 consistency continuous function norms

convergence convergence rate Crank-Nicolson scheme cropping images

D

decay ODE difference equation directory discrete equation

discrete function norms doc strings 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 interactive Python

isympy

L

L-stable methods lambda functions Leapfrog scheme

Leapfrog scheme, filtered logistic model

M

mesh mesh function mesh function norms

method of manufactured solutions MMS (method of manufactured solutions) montage program

N

norm continuous discrete (mesh function)

O

ode45

operator notation, finite differences

P

PDF plot pdfcrop program pdfnup program pdftk program

plotting curves PNG plot population dynamics printf format

R

radioactive decay representative (mesh function) RK4

Runge-Kutta, 2nd-order method Runge-Kutta, 4th-order method

S

scalar computing scaling

stability, [1] sympy

T

Taylor-series methods (for ODEs) terminal velocity

theta-rule, [1], [2], [3] time step

V

vectorization, [1] verification

viewing graphics files visualizing curves

W

weighted average