Page - 222 - in Programming for Computations – Python - A Gentle Introduction to Numerical Simulations with Python

222 7 Index E elif, 29 else,29 Emacs, 6, 212 error asymptotic, 70 function (erf), 64 message, 21 rounding, 71 tolerance, 71 Euler pi, 48 Euler’smethod, 101 exceptionhandling, 22 execute (aprogram), 3 exit (sys),200 expmathnotation, 98 F False, 29 fast code, 25 finitedifferencemethod, 99 finiteprecision (offloat), 71 flatprogram,63 float, 13 floatingpoint number (float), 71 for loop,37 format png,20 Fortran, 2 forwarddifferenceapproximation, 99 ForwardEuler scheme,101 Fourier series,51 from,8 function, 7, 31 asarray, 118 assert,72 call, 7 definition, 31 global, 36 handle, 35 inputparameter, 7 local, 36 nested, 36 outputparameter, 7 return,7 takeaparameter, 7 G garbagecollection, 25 Gaussquadrature, 68 Gedit, 6,212 graph,18 H hardcopy (plot), 20 heat equation, 161 Heun’smethod,131 hold (on/off), 19 I Idle, 212 if, 29 implement (aprogram), 3 implementation general, 60 specific, 60 import, 12 math, 8 matplotlib.pyplot, 10 module, 62 numpy, 10 random(function), 30 indent, 29 indexing onebased, 17 zerobased, 17 initial conditions, 162 input, 23 instability,170 instruction, 4 int, 13 integer division,14 integral analytically, 55 approximately, 55 exact, 55 numerically, 55 integration points, 57 interactiveuse (ofPython), 12 IPython, 6, 12 K keyboard arrowup/down, 12 L lambda function, 36 language computer, 2 programming, 2 Laplace equation, 182 least squaresmethod, 50 legend (plot),20 Leibniz pi, 48 library, 8 function, 8 SymPy, 23 linear algebra, 21, 39 linear interpolation, 49 linspace, 10 list,23, 41