Seite - 320 - in Programming for Computations – Python - A Gentle Introduction to Numerical Simulations with Python 3.6, Band Second Edition

320 Index Discontinuous coefficient, 238 Divergence, 185 Division quotient, 45 remainder, 45 DocOnce, xii Domain,157, 162,163, 288 complex, 163 Double integral midpoint, 157 Double sum, 159 Dynamical system, 203 elif, 68 else, 68 Emacs, 11, 314 Error asymptotic, 152 function (erf), 141 message, 33 rounding, 45, 154 tolerance, 154 Euler pi, 76 Euler’s method, 210, 216 Euler-Cromer method, 245 Exception handling, 33,106, 186 Execute (a program), 4 exit (sys), 110, 119, 185, 188, 191 exp (notation), 212 Explicitmethod, 246 False, 46 Fast code, 35 Fibonacci numbers, 125 Finitedifference method, 213 Finiteprecision (of float), 153 Flatprogram, 275 float type, 42 Floatingpoint number (float), 7 for loop, 59 header, 59 Format string syntax, 27 Fortran, 2 Forward difference approximation, 215 Forward Euler method, 210 Forward Euler scheme, 216 Fourier series, 101 from, 13 Function, 7,13, 79 argument, 7 call, 13 definition, 79 global, 88 lambda, 87 local, 88 nested, 88 return, 13, 88 Game, 75 Garbage collection,36 Gauss quadrature, 145 Gedit, 11, 314 Grid, 213 Halley’s method, 199 Heat equation, 287 Heun’s method, 246 hold (on/off), 24 Idle, 314 if, 68 Implement (a program), 4 Implementation general, 136 specific, 136 Implicitmethod, 246 import interactive session, 39 math,13, 17 matplotlib.pyplot, 19 matplotlib.pyplot asplt, 18 name change, 18 no prefix, 14 numpy, 17 numpy asnp, 19 odespy, 249 prefix, 17 random, 72 sympy as sym, 111 sys, 117 Indent, 60,66, 68 Indexing one based, 47 zero based, 47 Infinite loop,67 Initial condition ODE,209 PDE,288 input, 32 Instability, 299 Instruction, 2 int type,42 Integral analytically, 131 approximately, 131 exact, 131 numerically, 131 Integration points, 132 Interactive session, 5 Interactive use (of Python), 39 Interpreter, 6