Page 511 - Applied Numerical Methods Using MATLAB

500 SUBJECT INDEX
double integral/integration, 241, 259 H
Draw mode, 432 Hamming method, 273
DtFT (Discrete-time Fourier Transform), 476 heat equation, 406, 412
heat flow equation, 410
E Helmholtz’s equation, 402
eigenmode PDE, 431 Hermite interpolating polynomial l39,
eigenpair, 371 Hermite polynomial, 66, 238
eigenvalue, 371, 377, 385, 389, 465 Hermitian, 466
eigenvalue problem, 314, 389 Hessenberg form, 395–397
eigenvector, 371, 377, 385, 465 Hessian, 330, 472
electric potential, 427, 442 Heun’s method, 266
hidden bit, 28
element-by-element operation, 15, 52
Hilbert matrix, 88
elliptic PDE, 401, 402, 420, 430
histogram, 23
eps, 13
Householder, 392–395
error, 31, 33, 35, 40, 213, 226, 274
hyperbolic PDE, 401, 414, 430, 440, 453
error analysis, 159, 225
error estimate, 226
I
error magnification, 31
error propagation, 33 IDFT, 151
errorbar, 148 IEEE 64-bit floating-point number, 28
Euler’s method, 263 ilaplace, 280
explicit central difference method, 415, 417 ill-condition, 88
explicit forward Euler method, 406, 410 implicit backward Euler method, 407, 452
exponent field, 28 improper integral, 248, 249
inconsistency, 83, 85
independent eigenvectors, 373
F
input, 2,4
factoriaL, 40
interior node, 425
false position, 185
interpolation, 117, 119, 133, 141, 161
FFT (Fast Fourier Transform), 151 2-dimensional 141
finite difference method (FDM), 290
interpolation by using DFS, 155
finite element method (FEM), 420, 431, 455
interpolation function, 420
fixed-point, 99, 179, 197 inverse matrix, 92, 465
Fletcher–Reeves (FR), 332, 333
inverse power method, 380, 381
forward difference approximation, 209, 218,
IVP (initial value problem), 263, 284
406
Fourier series/transform, 150, 475 J
full pivoting, 85
Jacobi iteration, 98
Jacobi method, 381–384
G Jacobian, 191, 472, 484
Gauss elimination, 79
Gauss quadrature, 234 K
Gauss–Chebyshev, 240 keyboard input, 2
Gauss–Hermite, 238, 251, 253
Gauss–Jordan elimination, 89, 106 L
Gauss–Laguerre, 239, 254, 255 Lagrange coefficient polynomial, 118
Gauss–Legendre, 235, 251, 255 Lagrange multiplier method, 74, 343, 344
Gauss–Seidel iteration, 100, 103, 115 Lagrange polynomial, 117, 118
Gaussian distribution, 24 Laguerre polynomial, 239
genetic algorithm, 338, 340 Laplace transform, 278, 280, 473
Gerschgorin’s Disk Theorem, 380 Laplace’s Equation, 402, 404, 427, 435, 442
golden search, 321, 322 largest number in MATLAB, 27
gradient, 294, 328, 330, 471 leakage, 155, 174
graphic command, 491 least squares (LS), 144, 165, 169, 171, 351, 354