Page - 321 - in Programming for Computations – Python - A Gentle Introduction to Numerical Simulations with Python 3.6, Volume Second Edition

Index 321 IPython, 39 Item,12 Lambda function, 87 lambdify, 187 Language computer, 2 programming, 2 Laplace equation, 308 Leapfrog method, 278 Least squares method, 100 Leibniz pi, 76 len (function), 47 Library, 13 function, 13 Linearalgebra, 52 Linear interpolation, 99 linspace (function), 20 list,32, 103 append, 103 comprehension, 105 convert toarray, 103 create, 103 delete, 103 insert, 103 Logistic model carrying capacity, 222 Long lines (splitting of), 36 Loop for, 59 infinite, 67 iteration, 59, 65 variable, 59, 65 while, 65 Mainprogram, 82 Maple,2 math,13 Mathematica,2, 112 Mathematicalmodeling, 231 MATLAB,2 matplotlib.pyplot, 19 Matrix,52 tridiagonal, 303 vector product, 52 max (function), 224 Mesh, 213 function, 213 points, 213, 290 uniform, 213 Method of least squares, 100 Method of lines (MOL), 290 Midpointmethod, 142 Model computational, 211 differential equation, 210 mathematical, 5, 210 Module, 13 MOL,290 forward Euler, 290 Monte Carlo integration, 163 Multi-step methods, 280 NameError, 13 New line,27 Newton starting value, 187 Newton-Raphson’s method, 181 Newton’s method, 181 None, 80, 178 Nonlinear algebraic equation, 175, 247 nose (testing), 155 Notepad++, 11, 314 Numerical Python (NumPy), 14, 47 Numerical scheme, 216 numpy, 14, 54 Object, 7, 41 Octave, 2 ODE,203 first-order, 203 scalar, 232 second-order, 203 vector, 232 Operator arithmetic, 44 precedence, 44 Ordinary differential equation, 203 Package, 14, 18 Parameter input, 79 keyword, 80 positional, 80 Parentheses use of, 45 PDE, 203, 287 Plot, 4, 19 Poisson equation, 308 print, 5 Printing formatted, 27 f-string, 31 Program crash, 33 execute, 6, 10 input, 32 output, 32 run, 6, 10 statement, 6 testing,34 typing,10 verification, 34