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

Transpose of sparse matrix      73f.
transpose() intrinsic function      950 960 969 981 1050 1246
Trapezoidal rule      125 127 130ff. 134f. 579 583 782 786 1052 1326f.
Traveling salesman problem      438ff. 1219ff.
Tridiagonal matrix      42 63 150 453f. 488 839f. 1018f.
Tridiagonal matrix cyclic      67 1030
Tridiagonal matrix eigenvalues      469ff. 1228
Tridiagonal matrix from cubic spline      109
Tridiagonal matrix from operator splitting      861f.
Tridiagonal matrix in alternating — direction implicit method (ADI)      861f.
Tridiagonal matrix in cyclic reduction      853
Tridiagonal matrix parallel algorithm      975 1018 1229f.
Tridiagonal matrix recursive splitting      1229f.
Tridiagonal matrix reduction of symmetric matrix to      462ff. 470 1227f.
Tridiagonal matrix serial algorithm      1018f. (see also “Matrix”)
Tridiagonal matrix with fringes      822
Trigonometric functions, linear sequences      173
Trigonometric functions, recurrence relation      172 572
Trigonometric functions, tan $(\theta/2)$ as minimal      173
Trigonometric interpolation      99
Trigonometric solution of cubic equation      179f.
Truncation error      20f. 399 709 881 1362
Truncation error in multigrid method      875
Truncation error in numerical derivatives      180
Tukey’s biweight      697
Tukey’s trimean      694
Turbo Pascal (Borland)      8
Twin errors      895
Two-dimensional      see “Multidimensional”
Two-dimensional K-S test      640 1281ff.
Two-pass algorithm for variance      607 1269
Two-point boundary value problems      702 745ff. 1314ff.
Two-point boundary value problems relaxation method      746f. 753ff. 1316ff.
Two-point boundary value problems relaxation method, example of      764ff. 1319
Two-point boundary value problems shooting method      746 749ff. 770ff. 1314ff. 1321ff.
Two-point boundary value problems shooting method, example of      770ff. 1321ff.
Two-point boundary value problems shooting to a fitting point      751ff. 1315f. 1323ff.
Two-point boundary value problems singular endpoints      751 764 771 1315f. 1319ff.
Two-point boundary value problems, automated allocation of mesh points      774f. 777
Two-point boundary value problems, boundary conditions      745ff. 749 751f. 771 1314ff.
Two-point boundary value problems, difficult cases      753 1315f.
Two-point boundary value problems, eigenvalue problem for differential equations      748 764ff. 770ff. 1319ff.
Two-point boundary value problems, free boundary problem      748 776
Two-point boundary value problems, grid (mesh) points      746f. 754 774f. 777
Two-point boundary value problems, internal boundary conditions      775ff.
Two-point boundary value problems, internal singular points      775ff.
Two-point boundary value problems, linear requires no iteration      751
Two-point boundary value problems, multiple shooting      753
Two-point boundary value problems, problems reducible to standard form      748
Two-point boundary value problems, regularity condition      775
Two-sided exponential error distribution      696
Two-sided power spectral density      493
Two-step Lax — Wendroff method      835ff.
Two-volume edition, plan of      1/xiii
Two’s complement arithmetic      1144
Type declarations, explicit vs. implicit      2
U bound() intrinsic function      949
U.S. Postal Service barcode      894
ULTRIX      1/xxiii 2/xix
Uncertainty coefficient      628
Uncertainty principle      600
Undefined status, of arrays and pointers      952f. 961 1070 1266 1293 1302
Underflow, in IEEE arithmetic      883 1343
Underrelaxation      857
Uniform deviates      see “Random deviates uniform”
Unitary (function)      843f.
Unitary (matrix)      see “Matrix”
unit_matrix() utility function      985 990 1006 1216 1226 1325
UNIX      1/xxiii 2/viii 2/xix 4 17 276 293 886
unpack() intrinsic function      950 964
Upper Hessenberg matrix      see «Hessenberg matrix
Upper subscript      944
upper_triangle() utility function      990 1006 1226 1305
Upwind differencing      832f. 837
USE statement      936 939f. 954 957 1067 1384
USES keyword in program listings      2
Utility functions      987ff. 1364ff.
Utility functions add vector to matrix diagonal      1004 1234 1366 1381
Utility functions alphabetical listing      988ff.
Utility functions argument checking      994f. 1370f.
Utility functions arithmetic progression      996 1072 1127 1365 1371f.
Utility functions array reallocation      992 1070f. 1365 1368f.
Utility functions assertion of numerical equality      995 1022 1365 1370f.
Utility functions compared to intrinsics      990ff.
Utility functions complex nth root of unity      999f. 1379
Utility functions copying arrays      991 1034 1327f. 1365f.
Utility functions create unit matrix      1006 1382
Utility functions cumulative product of an array      997f. 1072 1086 1375
Utility functions cumulative sum of an array      997 1280f. 1365 1375
Utility functions data types      1361
Utility functions elemental functions      1364
Utility functions error handling      994f. 1036 1370f.
Utility functions generic functions      1364
Utility functions geometric progression      996f. 1365 1372ff.
Utility functions get diagonal of matrix      1005 1226f. 1366 1381f.
Utility functions length of a vector      1008 1383
Utility functions linear recurrence      996
Utility functions location in an array      992ff. 1015 1017ff.
Utility functions location of first logical “true”      993 1041 1369
Utility functions location of maximum array value      993 1015 1017 1365 1369
Utility functions location of minimum array value      993 1369f.
Utility functions logical assertion      994 1086 1090 1092 1365 1370
Utility functions lower triangular mask      1007 1200 1382
Utility functions masked polynomial evaluation      1378
Utility functions masked swap of elements in two arrays      1368
Utility functions moving data      990ff. 1015
Utility functions multiply vector into matrix diagonal      1004f. 1366 1381
Utility functions nrutil.f90(module file)      1364ff.
Utility functions outer difference of vectors      1001 1366 1380
Utility functions outer logical and of vectors      1002
Utility functions outer operations on vectors      1000ff. 1379f.
Utility functions outer product of vectors      1000f. 1076 1365f. 1379
Utility functions outer quotient of vectors      1001 1379
Utility functions outer sum of vectors      1001 1379f.
Utility functions overloading      1364
Utility functions partial cumulants of a polynomial      999 1071 1192f. 1365 1378f.
Utility functions polynomial evaluation      996 998f. 1258 1365 1376ff.
Utility functions scatter-with-add      1002f. 1032f. 1366 1380f.
Utility functions scatter-with-combine      1002f. 1032f. 1380f.
Utility functions scatter-with-max      1003f. 1366 1381
Utility functions set diagonal elements of matrix      1005 1200 1366 1382
Utility functions skew operation on matrices      1004ff. 1381ff.
Utility functions swap elements of two arrays      991 1015 1365ff.
Utility functions upper triangular mask      1006 1226 1305 1382
V-cycle      865 1336
vabs() utility function      990 1008 1290
Validation of Numerical Recipes procedures      3f.
Valley, long or narrow      403 407 410

Van Cittert’s method      804
Van Wijngaarden — Dekker — Brent method      see “Brent’s method”
Vandermonde matrix      82ff. 114 1037 1047
Variable length code      896 1346ff.
Variable metric method      390 418ff. 1215
Variable metric method compared to conjugate gradient method      418
Variable step — size integration      123 135 703 707ff. 720 726 731 737 742ff. 1298ff. 1303 1308f. 131Iff.
Variance correlation      605
Variance of distribution      603ff. 608 611 613 1269
Variance pooled      610
Variance reduction of (in Monte Carlo)      299 306ff.
Variance statistical differences between two      609 1271
Variance two-pass algorithm for computing      607 1269
Variational methods, partial differential equations      824
VAX      275 293
Vector length      1008 1383
Vector outer difference      1001 1366 1380
Vector outer operations      1000ff. 1379f.
Vector outer product      1000f. 1076 1365f. 1379
Vector reduction      972 977 998
Vector subscripts      2/xiif. 984 1002 1032 1034
Vector subscripts communication bottleneck      969 981 1250
Vectors norms      1036
VEGAS algorithm for Monte Carlo      309ff. 1161
Verhoeff’s algorithm for checksums      894f. 1345
Vienna Fortran      2/xv
Viete’s formulas for cubic roots      179
Virus, computer      889
Viscosity artificial      831 837
Viscosity numerical      830f. 837
Visibility      956ff. 1209 1293 1296
vms      1/xxii 2/xix
Volterra equations      780f. 1326
Volterra equations, adaptive stepsize control      788
Volterra equations, analogy with ODEs      786
Volterra equations, block-by-block method      788
Volterra equations, first kind      781 786
Volterra equations, nonlinear      781 787
Volterra equations, second kind      781 786ff. 1326f.
Volterra equations, unstable quadrature      787f.
von Neuman, John      963 965
von Neumann stability analysis for PDEs      827f. 830 833f. 840
von Neumann — Richtmyer artificial viscosity      837
Vowellish (coding example)      896f. 902
W-cycle      865 1336
Warranty, disclaimer of      1/xx 2/xvii
Wave equation      246 818 825f.
Wavelet transform      584ff. 1264ff.
Wavelet transform and Fourier domain      592f.
Wavelet transform appearance of wavelets      590ff.
Wavelet transform approximation condition of order p      585
Wavelet transform coefficient values      586 589 1265
Wavelet transform contrasted with Fourier transform      584 594
Wavelet transform Daubechies wavelet filter coefficients      584ff. 588 590f. 594 598 1264ff.
Wavelet transform detail information      585
Wavelet transform DWT (discrete wavelet transform)      586f. 1264ff.
Wavelet transform eliminating wrap — around      587
Wavelet transform fast solution of linear equations      597ff.
Wavelet transform filters      592f.
Wavelet transform for integral equations      782
Wavelet transform image processing      596f.
Wavelet transform inverse      587
Wavelet transform Lemarie’s wavelet      593
Wavelet transform mother functions      584
Wavelet transform mother — function coefficient      587
Wavelet transform multidimensional      595 1267f.
Wavelet transform nonsmoothness of wavelets      591
Wavelet transform of linear operator      597ff.
Wavelet transform pyramidal algorithm      586 1264
Wavelet transform quadrature mirror filter      585
Wavelet transform smooth information      585
Wavelet transform truncation      594f.
Wavelet transform wavelet filter coefficient      584 587
Wavelet transform wavelets      584 590ff.
Wavelets      see “Wavelet transform”
Weber function      204
Weighted Kolmogorov — Smirnov test      621
Weighted least — squares fitting      see “Least squares fitting”
Weighting, full vs. half in multigrid      867
Weights for Gaussian quadrature      140ff. 788f. 1059ff. 1328f.
Weights for Gaussian quadrature nonclassical weight function      151ff. 788f. 1064f. 1328f.
Welch window      547 1254ff.
WG5 (ISO/IEC JTC1/SC22/WG5 Committee)      2/xiff.
where construct      943 1291
where construct contrasted with merge      1023
where construct for iteration of a vector      1060
where construct nested      2/xv 943 960 1100
where construct notMIMD      985
While iteration      13
Wiener filtering      535 539ff. 558 644
Wiener filtering compared to regularization      801
Wiener — Khinchin theorem      492 558 566f.
Wilcoxon test      694
Window function Bartlett      547 1254ff.
Window function flat-topped      549
Window function Hamming      547
Window function Hann      547
Window function Parzen      547
Window function square      544 546 1254ff.
Window function Welch      547 1254ff.
Windowing for spectral estimation      1255f.
Windows      95 2/xix
Windows NT      2/xix
Winograd Fourier transform algorithms      503
Woodbury formula      68ff. 83
Wordlength      18
Workspace, reallocation in Fortran 90      1070f.
World Wide Web, Numerical Recipes site      1/xx 2/xvii
Wraparound in integer arithmetic      1146 1148
Wraparound order for storing spectrum      501
Wraparound problem in convolution      533
Wronskian, of Bessel functions      234 239
X-ray diffraction pattern, processing of      805
X.25protocol      890
X3J3Committee      2/viii 2/xff 2/xv 947 959 964 968 990
XMODEM checksum      889
Y ale Sparse Matrix Package      64 71
z-transform      554 559 565
Z-transformation, Fisher’s      631f. 1276
Zaman, A.      1149
Zealots      814
Zebra relaxation      866
Zero contours      372
Zero-length array      944
Zeroth-order regularization      796ff.
Zip code, barcode for      894
Ziv-Lempel compression      896
zroots_unity() utility function      974 990 999

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