Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in FORTRAN77 :: Электронная библиотека попечительского совета мехмата МГУ

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Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in FORTRAN77

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Название: Numerical recipes in FORTRAN77

Авторы: Press W.H., Teukolsky S.A., Vetterling W.T.

Язык:

Рубрика: Математика/Численные методы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition

Год издания: 1992

Количество страниц: 973

Добавлена в каталог: 01.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

Elliptic integrals      254ff. 906
Elliptic integrals addition theorem      255
Elliptic integrals Carlson’s forms and algorithms      255f. 1128ff.
Elliptic integrals Cauchy principal value      256f.
Elliptic integrals duplication theorem      256
Elliptic integrals Legendre      254ff. 260f. 1135ff.
Elliptic integrals routines for      257ff. 1128ff.
Elliptic integrals symmetric form      255
Elliptic integrals Weierstrass      255
Elliptic partial differential equations      818 1332ff.
Elliptic partial differential equations alternating-direction implicit method (ADI)      861f. 906
Elliptic partial differential equations analyze/factorize/operate package      824
Elliptic partial differential equations biconjugate gradient method      824
Elliptic partial differential equations boundary conditions      820
Elliptic partial differential equations comparison of rapid methods      854
Elliptic partial differential equations conjugate gradient method      824
Elliptic partial differential equations cyclic reduction      848f. 852ff.
Elliptic partial differential equations Fourier analysis and cyclic reduction (FACR)      848ff. 854
Elliptic partial differential equations Gauss — Seidel method      855 864ff. 876 1338 1341
Elliptic partial differential equations incomplete Cholesky conjugate gradient method (ICCG)      824
Elliptic partial differential equations Jacobi’s method      855f. 864
Elliptic partial differential equations matrix methods      824
Elliptic partial differential equations multigrid method      824 862ff. 1009 1334ff.
Elliptic partial differential equations rapid (Fourier) method      824 848ff.
Elliptic partial differential equations relaxation method      823 854ff. 1332
Elliptic partial differential equations strongly implicit procedure      824
Elliptic partial differential equations successive over-relaxation (SOR)      857ff. 862 866 1332
elsewhere construct      943
Emacs, GNU      1/xvi
Embedded Runge — Kutta method      709f. 731 1298 1308
en function      261 1137f.
Encapsulation, in programs      7
Encryption      290 1156
enddo statement      12 17
entropy      896
Entropy of data      626ff. 811 1275
EOM (end of message)      902
eoshift() intrinsic function      950
eoshift() intrinsic function communication bottleneck      969
eoshift() intrinsic function vector shift argument      1019f.
eoshift() intrinsic function vs. array section      1078
epsilon() intrinsic function      951 1189
Equality constraints      423
Equations cubic      178ff. 360
Equations normal (fitting)      645 666ff. 800 1288
Equations quadratic      20 178
Equivalence classes      337f. 1180
EQUIVALENCE statement      2/xif. 1161 1286
Equivalence transformation      166
Error checksums for preventing      891
Error clocking      891
Error double exponential distribution      696
Error function      213f. 601 1094f.
Error function approximation via sampling theorem      601
Error function Chebyshev approximation      214 1095
Error function complex      252
Error function for Fisher’s z-transformation      632 1276
Error function for significance of correlation      631 1276
Error function for sum squared difference of ranks      635 1277
Error function relation to Dawson’s integral      252 1127
Error function relation to Fresnel integrals      248
Error function relation to incomplete gamma function      213
Error function routine for      214 1094
Error handling in programs      2/xii 2/xvi 3 994f. 1036 1370f.
Error in multigrid method      863
Error local truncation      875
Error Lorentzian distribution      696f.
Error nonnormal      653 690 694ff.
Error relative truncation      875
Error roundoff      180f. 881 1362
Error series, advantage of an even      132f. 717 1362
Error systematic vs. statistical      653 1362
Error truncation      20f. 180 399 709 881 1362
Error varieties found by check digits      895
Error varieties of, in PDEs      831ff.(see also “Roundoff error”)
Estimation of parameters      see “Fitting”; “Maximum likelihood estimate”
Estimation of power spectrum      542ff. 565ff. 1254ff. 1258
Euler equation (fluid flow)      831
Euler — Maclaurin summation formula      132 135
Euler’s constant      216ff. 250
Euler’s method for differential equations      702 704 728f.
Euler’s transformation      160f. 1070
Euler’s transformation generalized form      162f.
Evaluation of functions      see “Function”
Even and odd parts, of continued fraction      166 211 216
Even parity      888
Exception handling in programs      see “Error handling in programs”
Exit statement      959 1219
Explicit differencing      827
Exponent in floating point format      19 882 1343
exponent intrinsic function      1107
Exponential deviate      278 1151f.
Exponential integral      215ff. 1096f.
Exponential integral asymptotic expansion      218
Exponential integral continued fraction      216
Exponential integral recurrence relation      172
Exponential integral related to incomplete gamma function      215
Exponential integral relation to cosine integral      250
Exponential integral routine for Ei(x)      218 1097
Exponential integral routine for En(x)      217 1096
Exponential integral series      216
Exponential probability distribution      570
Extended midpoint rule      124f. 129f. 135 1054f.
Extended Simpson’s rule      128 788 790
Extended Simpson’s three-eighths rule      789
Extended trapezoidal rule      125 127 130ff. 135 786 1052ff. 1326
Extended trapezoidal rule roundoff error      132
Extirpolation (so-called)      574 1261
Extrapolation      99ff.
Extrapolation by linear prediction      557ff. 1256f.
Extrapolation differential equations      702
Extrapolation for Romberg integration      134 (see also “Interpolation”)
Extrapolation in Bulirsch — Stoer method      718ff. 726 1305ff.
Extrapolation local      709
Extrapolation maximum entropy method as type of      567
Extrapolation polynomial      724 726 740 1305f.
Extrapolation rational function      718ff. 726 1306f.
Extrapolation relation to interpolation      101
Extremization      see “Minimization”
F-distribution probability function      222
F-test for differences of variances      611 613 1271
FACR      see “Fourier analysis and cyclic reduction (FACR)”
Facsimile standard      901
Factorial double (denoted “!!”)      247
Factorial evaluation of      159 1072 1086
Factorial relation to gamma function      206
Factorial routine for      207f. 1086ff.
False position      347ff. 1185f.
Family tree      338
FAS (full approximation storage algorithm)      874 1339ff.
Fast Fourier transform (FFT)      498ff. 881 981 1235f.
Fast Fourier transform (FFT) alternative algorithms      503f.
Fast Fourier transform (FFT) and Clenshaw — Curtis quadrature      190
Fast Fourier transform (FFT) as approximation to continuous transform      497
Fast Fourier transform (FFT) at double frequency      575
Fast Fourier transform (FFT) Bartlett window      547 1254
Fast Fourier transform (FFT) bit reversal      499f. 525
Fast Fourier transform (FFT) column — parallel algorithm      981 1237ff.
Fast Fourier transform (FFT) communication bottleneck      969 981 1250
Fast Fourier transform (FFT) convolution      503f. 523 531ff. 909 1253 1354
Fast Fourier transform (FFT) convolution of large data sets      536f.
Fast Fourier transform (FFT) Cooley — Tukey algorithm      503 1250
Fast Fourier transform (FFT) Cooley — Tukey algorithm, parallel      1239f.
Fast Fourier transform (FFT) correlation      538f. 1254
Fast Fourier transform (FFT) cosine transform      190 511ff. 851 1245f.
Fast Fourier transform (FFT) cosine transform, second form      513 852 1246
Fast Fourier transform (FFT) Danielson — Lanczos lemma      498f. 525
Fast Fourier transform (FFT) data sets not a power of      2 503
Fast Fourier transform (FFT) data smoothing      645
Fast Fourier transform (FFT) data windowing      545ff. 1254

Fast Fourier transform (FFT) decimation-in-frequency algorithm      503
Fast Fourier transform (FFT) decimation-in-time algorithm      503
Fast Fourier transform (FFT) discrete autocorrelation      539 1254
Fast Fourier transform (FFT) discrete convolution theorem      531ff.
Fast Fourier transform (FFT) discrete correlation theorem      538
Fast Fourier transform (FFT) effect of caching      982
Fast Fourier transform (FFT) endpoint corrections      578f. 1261ff.
Fast Fourier transform (FFT) external storage      525
Fast Fourier transform (FFT) figures of merit for data windows      548
Fast Fourier transform (FFT) filtering      551ff.
Fast Fourier transform (FFT) FIR filter      553
Fast Fourier transform (FFT) for multiple precision arithmetic      906
Fast Fourier transform (FFT) for multiple precision multiplication      909 1354
Fast Fourier transform (FFT) for quadrature      124
Fast Fourier transform (FFT) four-step framework      983 1239
Fast Fourier transform (FFT) Fourier integrals      577ff. 1261
Fast Fourier transform (FFT) Fourier integrals, infinite range      583
Fast Fourier transform (FFT) Hamming window      547
Fast Fourier transform (FFT) Hann window      547
Fast Fourier transform (FFT) history      498
Fast Fourier transform (FFT) IIR filter      553ff.
Fast Fourier transform (FFT) image processing      803 805
Fast Fourier transform (FFT) integrals using      124
Fast Fourier transform (FFT) inverse of cosine transform      512ff.
Fast Fourier transform (FFT) inverse of sine transform      511
Fast Fourier transform (FFT) large data sets      525
Fast Fourier transform (FFT) leakage      544
Fast Fourier transform (FFT) memory-local algorithm      528
Fast Fourier transform (FFT) multidimensional      515ff. 1236f. 1241 1246 1251
Fast Fourier transform (FFT) number-theoretic transforms      503f.
Fast Fourier transform (FFT) of real data in 2D and 3D      519ff. 1248f.
Fast Fourier transform (FFT) of real functions      504ff. 519ff. 1242f. 1248f.
Fast Fourier transform (FFT) operation count      498
Fast Fourier transform (FFT) optimal (Wiener) filtering      539ff. 558
Fast Fourier transform (FFT) order of storage in      501
Fast Fourier transform (FFT) parallel algorithms      981ff. 1235ff.
Fast Fourier transform (FFT) partial differential equations      824 848ff.
Fast Fourier transform (FFT) Parzen window      547
Fast Fourier transform (FFT) periodicity of      497
Fast Fourier transform (FFT) periodogram      543ff. 566
Fast Fourier transform (FFT) power spectrum estimation      542ff. 1254ff.
Fast Fourier transform (FFT) related algorithms      503f.
Fast Fourier transform (FFT) row-parallel algorithm      981 1235f.
Fast Fourier transform (FFT) Sande — Tukey algorithm      503
Fast Fourier transform (FFT) sine transform      508ff. 850 1245
Fast Fourier transform (FFT) Singleton’s algorithm      525
Fast Fourier transform (FFT) six-step framework      983 1240
Fast Fourier transform (FFT) square window      546 1254
Fast Fourier transform (FFT) timing      982
Fast Fourier transform (FFT) treatment of end effects in convolution      533
Fast Fourier transform (FFT) treatment of end effects in correlation      538f.
Fast Fourier transform (FFT) Tukey’s trick for frequency doubling      575
Fast Fourier transform (FFT) use in smoothing data      645
Fast Fourier transform (FFT) used for Lomb periodogram      574 1259
Fast Fourier transform (FFT) variance of power spectrum estimate      544f. 549
Fast Fourier transform (FFT) virtual memory machine      528
Fast Fourier transform (FFT) Welch window      547 1254
Fast Fourier transform (FFT) Winograd algorithms      503 (see also “Discrete Fourier transform (DFT)”; “Fourier transform”; “Spectral density”)
Faure sequence      300
Fax (facsimile) Group 3 standard      901
Feasible vector      424
FFT      see “Fast Fourier transform (FFT)”
Field, in data record      329
Figure-of-merit function      650
Filon’s method      583
Filter      551ff.
Filter acausal      552
Filter bilinear transformation method      554
Filter by fast Fourier transform (FFT)      523 551ff.
Filter causal      552 644
Filter characteristic polynomial      554
Filter data smoothing      644f. 1283f.
Filter digital      551ff.
Filter DISPO      644
Filter finite impulse response (FIR)      531 552
Filter homogeneous modes of      554
Filter in the time domain      551ff.
Filter infinite impulse response (IIR)      552ff. 566
Filter Kalman      700
Filter linear      552ff.
Filter low-pass for smoothing      644ff. 1283f.
Filter nonrecursive      552
Filter optimal (Wiener)      535 539ff. 558 644
Filter quadrature mirror      585 593
Filter realizable      552 554f.
Filter recursive      552ff. 566
Filter Remes exchange algorithm      553
Filter Savitzky — Golay      183 644ff. 1283f.
Filter stability of      554f.
Fine-to-coarse operator      864 1337
Finite difference equations (FDEs)      753 763 774
Finite difference equations (FDEs) alternating-direction implicit method (ADI)      847 861f.
Finite difference equations (FDEs) art not science      829
Finite difference equations (FDEs) Cayley’s form for unitary operator      844
Finite difference equations (FDEs) Courant condition      829 832ff. 836
Finite difference equations (FDEs) Courant condition (multidimensional)      846
Finite difference equations (FDEs) Crank — Nicholson method      840 844 846
Finite difference equations (FDEs) eigenmodes of      827f.
Finite difference equations (FDEs) explicit vs. implicit schemes      827
Finite difference equations (FDEs) forward Euler      826f.
Finite difference equations (FDEs) Forward Time Centered Space (FTCS)      827ff. 839ff. 843 855
Finite difference equations (FDEs) implicit scheme      840
Finite difference equations (FDEs) in relaxation methods      753ff.
Finite difference equations (FDEs) Lax method      828ff. 836
Finite difference equations (FDEs) Lax method (multidimensional)      845f.
Finite difference equations (FDEs) mesh drifting instability      834f.
Finite difference equations (FDEs) numerical derivatives      181
Finite difference equations (FDEs) partial differential equations      821ff.
Finite difference equations (FDEs) staggered leapfrog method      833f.
Finite difference equations (FDEs) two-step Lax — Wendroff method      835ff.
Finite difference equations (FDEs) upwind differencing      832f. 837
Finite element methods, partial differential equations      824
Finite impulse response (FIR)      531
Finkelstein, S.      1/xvi 2/ix
FIR (finite impulse response) filter      552
Fisher’s z-transformation      631f. 1276
Fitting      650ff. 1285ff.
Fitting an exponential      674
Fitting basis functions      665
Fitting by Chebyshev approximation      185f. 1076
Fitting by rational Chebyshev approximation      197ff. 1081f.
Fitting chi-square      653ff. 1285ff.
Fitting confidence levels from singular value decomposition (SVD)      693f.
Fitting confidence levels related to chi-square values      691ff.
Fitting confidence limits on fitted parameters      684ff.
Fitting covariance matrix not always meaningful      651 690
Fitting degeneracy of parameters      674
Fitting freezing parameters in      668 700
Fitting Gaussians, a sum of      682 1294
Fitting general linear least squares      665ff. 1288 1290f.
Fitting K — S test, caution regarding      621f.
Fitting Kalman filter      700
Fitting least squares      651ff. 1285
Fitting Legendre polynomials      674 1291f.
Fitting Levenberg — Marquardt method      678ff. 816 1292f.
Fitting linear regression      655ff. 1285ff.
Fitting maximum likelihood estimation      652f. 694ff.
Fitting Monte Carlo simulation      622 654 684ff.
Fitting multidimensional      675
Fitting nonlinear models      675ff. 1292f.
Fitting nonlinear models, advanced methods      683
Fitting nonlinear problems that are linear      674
Fitting nonnormal errors      656 690 694ff.
Fitting of sharp spectral features      566
Fitting polynomial      83 114 191 645 665 674 1078 1291
Fitting robust methods      694ff. 1294
Fitting standard (probable) errors on fitted parameters      657f. 661 667 671 684ff. 1285f. 1288 1290
Fitting straight line      655ff. 667f. 698 1285ff. 1294ff.
Fitting straight line, errors in both coordinates      660ff. 1286ff.
Five-point difference star      867

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