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| Авторизация |
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| Hamming R.W. — Numerical Methods For Scientists And Engineers |
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| Предметный указатель |
Nyquist, Harry 280
One-half method of integration 177 207 210
One-half method of integration, predictor 204
One-half method of integration, transfer function 329
One-point (Maclaurin) formulas 120
One-third method of integration 177 329
One-third method of integration, predictor 204
One-third method of integration, transfer function 329
Open formulas 159
Operator equations 12
Orden, Alex 360
Orthogonal functions, linear independence 234
Orthogonal polynomials 238
Orthogonal polynomials, Hermite 240
Orthogonal polynomials, Laguerre 240
Orthogonal polynomials, Legendre 240
Orthogonal polynomials, three-term recurrence 239
Orthogonal polynomials, with restraints 242
Orthogonal polynomials, zeros of 239
Orthogonal polynomials, zeros of, interlacing of 239 246 249
Orthogonality 67
Orthogonality, meaning of 231
Orthogonality, of trigonometric functions 45
Orthonormal functions 233
Ostrowski, A. 355
Pairmann, E. 59
Parabolic interpolation for zeros 353
Parseval’s equality 71 236
Periodic functions 275
Periodic functions, integration of 284
Persymmetric determinant 131 340
Pinkham, Roger x 40
Poisson distribution, random numbers 390
Polynomial approximation 81
Polynomial approximation, error of 102
Polynomial approximation, uniqueness of 95
Polynomial interpolation, arbitrary spacing 91
Polynomial interpolation, difficulty of 104
Polynomial interpolation, equally spaced 109
Power spectrum 294 305 312 322
Predictor-corrector methods 186
Predictor-corrector methods, advantages of 194
Predictor-corrector methods, disadvantages of 194
Predictor-corrector methods, general theory of 194
Prim, R. C. III 37
printed circuit boards 371
Prony’s method 340
Pseudo random numbers 384
Psychological experiment 392
Quality control 228
Quasi orthogonality 246
Radau integration 132
Raisbeck, G. 292
Ralston integration 136 161
Random noise 381
Random numbers 383
Random numbers, binary 384
Random numbers, decimal 388
Random numbers, Poisson distribution 390
Random physical constants, table of 36
Random roundoff 27
Random roundoff, variance of 32
Range arithmetic 24
Rational functions 265
Reciprocal differences 269
Rectangular pulse 307
Recurrence relation 56 238 240 245
Relative error 323
Relative stability 191 198
Remainder theorem 16
Remainder theorem, for complex values 17
Reynolds, R. R. 205
Riemann zeta function 50 106
Riemann zeta function, table of 107
Roots of polynomials 356
Rosser, J. B. 53
Rotenberg, A. 388
Roundoff noise 27 223
Roundoff noise, correlated 200 203
Roundoff noise, independent 201
Roundoff noise, minimum 154
Roundoff noise, model 33
Roundoff noise, Newton — Cotes 157
Roundoff noise, uncorrelated 176
Roundoff noise, variance 34
Roundoff noise, variance of sum 35
Runge — Kutta method 194 211
Sample polynomial 131
Samples 86
Sampling theorem 303 308
Schmidt process 235 244
Second-order methods 213
Segers, R. G. 295
Shanks, D. 55
Shift operator,  11
Shifted Chebyshev polynomials 257 261
Significant-digit arithmetic 26
| Simpson’s formula 126 156 167 177
Simpson’s formula, composite 153
Simpson’s formula, composite, roundoff 154
Simpson’s formula, derived 84 127
Simpson’s formula, influence function 148
Simpson’s formula, iterated 167
Simpson’s formula, transfer function 325
Simulation 370
Simultaneous linear equations 360
Sine integral 9
Sine integral, table of 10
Singularities 343
Singularities, in integrand 163
Singularities, log in integrand 155
Smith, J. 388
Smoothing 314
Socrates 398
Southard 178
Special method for differential equations 216
Spectrum 315
Spectrum, line 305
Spectrum, line, smearing of 312
Spectrum, power 295
Stability, conditionally stable 175
Stability, example of 181
Stability, experimental verification of 180
Stability, of corrector 190 197
Stability, of integral equation 181
Stability, of integration method 172
Stability, of predictor 189 191
Stability, of predictor-corrector 197
Stability, region of 174 199
Stability, two-point corrector 190
Stability, two-point predictor 189 191
Stegun, I. 56
Stiff equations 218
Stirling interpolation formula 113
Stirling numbers, of first kind 18
Stirling numbers, of second kind 20
Stirling numbers, use of 21
Stroboscopic effect 277
Summation operator 41
Summation, by parts 45 50
Summation, of powers 42
Summation, of random numbers 34
Summation, of series 162
Summation, of sin and cos 44
swindles 392
Synthetic division 16
Synthetic division, for complex numbers 17
Synthetic division, for factorials 18
Systems of differential equations 193
Taylor series method 82
Taylor series method, flaw in 151
Taylor series method, with remainder 145
Taylor, W. J. 95
Television pictures 277
Thatcher, H. C., Jr. x 32
Third method 84
Three-dimensional tic-tac-toe 377
Three-eighths rule 156 177 204 326 329
Three-term relation 239 245
Three-term relation, Chebyshev 251
Three-term relation, Hermite 240
Three-term relation, Laguerre 240
Three-term relation, Legendre 240
Three-term relation, use of 245
Throwback 116 243
Tick’s rule 326 337
Time-limited function 309
Todd, J. 17
Transfer function 324
Trapezoid Rule 121 156 329
Trapezoid rule, influence function 147
Trapezoid rule, transfer function 324
Trend line 10
Trigamma function 58
Truncation error 143
Truncation error, of general integration formula 169
Tukey, J. W. x 41 277 318 392
Tukey, method due to 344
Two-point problems 219
Two-thirds method of integration 177 206 210
Two-thirds method of integration, predictor 204
Two-thirds method of integration, transfer function 329
Uniform method 118
Universal matrices 126
Vandermonde determinant 92 339
Vandermonde determinant, inverse of 124
Variance 28
Variance, of random numbers 34
Variance, of sum 35
Wallis numbers 21
Wasow, W. R. ix
Weierstrass’ theorem 106
Yowell, E. 178
“S” method 177
“S” method, transfer function of 329
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