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Press W.H., Teukolsky S.A., Vetterling W.T. — Numerical recipes in Fortran 90 |
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Предметный указатель |
Fletcher — Powell algorithm see Davidon — Fletcher — Powell algorithm
Fletcher — Reeves algorithm 390 414ff. 1214
Floating point co-processor 886
Floating point format 18ff. 882 1343
Floating point format, care in numerical derivatives 181
Floating point format, IEEE 276 882 1343
floor() intrinsic function 948
Flux-conservative initial value problems 825ff.
FMG (full multigrid method) 863 868 1334ff.
FOR iteration 9f. 12
forall statement 2/xii 2/xv 960 964 986
forall statement, access to associated index 968
forall statement, skew array sections 985 1007
Formats of numbers 18ff. 882 1343
FORTRAN 9
Fortran 2000 2/xvi
Fortran 90 3
Fortran 90, abstract data types 2/xiii 1030
Fortran 90, all() intrinsic function 945 948
Fortran 90, allocatable array 938 941 953ff. 1197 1212 1266 1293 1306 1336
Fortran 90, allocate statement 938f. 941 953f. 1197 1266 1293 1306 1336
Fortran 90, allocated() intrinsic function 938 952ff. 1197 1266 1293
Fortran 90, any() intrinsic function 945 948
Fortran 90, array allocation and deallocation 953
Fortran 90, array constructor 2/xii 968 971 1022 1052 1055 1127
Fortran 90, array constructor with implied do-list 968 971
Fortran 90, array extents 938 949
Fortran 90, array features 941f. 953ff.
Fortran 90, array intrinsic procedures 2/xiii 948ff.
Fortran 90, array manipulation functions 950
Fortran 90, array of arrays 2/xii 956 1336
Fortran 90, array of length 0 944
Fortran 90, array of length 1 949
Fortran 90, array parallel operations 964f.
Fortran 90, array rank 938 949
Fortran 90, array reallocation 955
Fortran 90, array section 2/xiif. 2/xiii 939 941ff. 960 1078 1284 1286 1333
Fortran 90, array shape 938 949
Fortran 90, array size 938 942
Fortran 90, array transpose 981f.
Fortran 90, array unary and binary functions 949
Fortran 90, associated pointer 953f.
Fortran 90, associated() intrinsic function 952f.
Fortran 90, assumed-shape array 942
Fortran 90, automatic array 938 954 1197 1212 1336
Fortran 90, backwards-compatibility 935 946
Fortran 90, bit manipulation functions 2/xiii 951
Fortran 90, bit_size() intrinsic function 951
Fortran 90, broadcasts 965f.
Fortran 90, btest() intrinsic function 951
Fortran 90, case construct 1010 1036
Fortran 90, case insensitive 937
Fortran 90, ceiling() intrinsic function 947
Fortran 90, character functions 952
Fortran 90, character variables 1183
Fortran 90, cmplx function 1125
Fortran 90, communication bottlenecks 969 981
Fortran 90, compatibility with Fortran 77 935 946
Fortran 90, compilers 2/viii 2/xiv 1364
Fortran 90, compiling 936
Fortran 90, conformable arrays 942f. 1094
Fortran 90, CONTAINS statement 954 957 985 1067 1134 1202
Fortran 90, control structure 2/xiv 959 1219 1305
Fortran 90, conversion elemental functions 946
Fortran 90, count() intrinsic function 948
Fortran 90, cshift() intrinsic function 950 969
Fortran 90, cycle statement 959 1219
Fortran 90, data hiding 956ff. 1209
Fortran 90, data parallelism 964
Fortran 90, DATA statement 959
Fortran 90, data types 937 1336 1346 1361
Fortran 90, deallocate statement 938f. 953f. 1197 1266 1293
Fortran 90, deallocating array 938 953f. 1197 1266 1293
Fortran 90, defined types 956
Fortran 90, deprecated features 947 1057 1161 1256 1286
Fortran 90, derived types 937 955
Fortran 90, dimensional expansion 965ff.
Fortran 90, do-loop 2/xiv
Fortran 90, dot_product() intrinsic function 945 949 969 1216
Fortran 90, dynamical allocation of storage 2/xiii 938 941f. 953ff. 1327 1336
Fortran 90, elemental functions 940 942 946f. 951 1015 1083 1364
Fortran 90, elsewhere construct 943
Fortran 90, eoshift() intrinsic function 950 969 1019f. 1078
Fortran 90, epsilon() intrinsic function 951 1189
Fortran 90, evolution 2/xivff. 959 987f.
Fortran 90, example 936
Fortran 90, exit statement 959 1219
Fortran 90, exponent() intrinsic function 1107
Fortran 90, floor() intrinsic function 948
Fortran 90, Fortran tip icon 1009
Fortran 90, garbage collection 956
Fortran 90, gather-scatter operations 2/xiif. 969 981 984 1002 1032 1034 1250
Fortran 90, generic interface 2/xiii 1083
Fortran 90, generic procedures 939 1015 1083 1094 1096 1364
Fortran 90, global variables 955 957 1210
Fortran 90, history 2/xff.
Fortran 90, huge() intrinsic function 951
Fortran 90, iand() intrinsic function 951
Fortran 90, ibclr() intrinsic function 951
Fortran 90, ibits() intrinsic function 951
Fortran 90, ibset() intrinsic function 951
Fortran 90, ieor() intrinsic function 951
Fortran 90, IMPLICIT NONE statement 2/xiv 936
Fortran 90, implied do-list 968 971 1127
Fortran 90, index loss 967f.
Fortran 90, initialization expression 943 959 1012 1127
Fortran 90, inquiry functions 948
Fortran 90, integer model 1144 1149 1156
Fortran 90, INTENT attribute 1072 1092
Fortran 90, interface 939 942 1067 1084 1384
Fortran 90, internal subprogram 2/xii 2/xiv 957 1057 1067 1202f. 1256 1302
Fortran 90, interprocessor communication 969 981 1250
Fortran 90, intrinsic data types 937
Fortran 90, intrinsic procedures 939 945ff. 987 1016
Fortran 90, ior() intrinsic function 951
Fortran 90, ishft() intrinsic function 951
Fortran 90, ishftc() intrinsic function 951
Fortran 90, ISO (International Standards Organization) 2/xf. 2/xiiif.
Fortran 90, keyword argument 2/xiv 947f. 1341
Fortran 90, KIND parameter 937 946 1125 1144 1192 1254 1261 1284 1361
Fortran 90, kind() intrinsic function 951
Fortran 90, language features 935ff.
Fortran 90, lbound() intrinsic function 949
Fortran 90, lexical comparison 952
Fortran 90, linear algebra 969f. 1000ff. 1018f. 1026 1040 1200 1326
Fortran 90, linear recurrence 971 988
Fortran 90, linking 936
Fortran 90, literal constant 937 1361
Fortran 90, logo for tips 2/viii 1009
Fortran 90, mask 948 967f. 1006f. 1038 1102 1200 1226 1305 1333f. 1368 1378 1382
Fortran 90, matmul() intrinsic function 945 949 969 1026 1040 1050 1076 1200 1216 1290 1326
Fortran 90, maxexponent() intrinsic function 1107
Fortran 90, maxloc() intrinsic function 949 961 992f. 1015
Fortran 90, maxval() intrinsic function 945 948 961 1016 1273
Fortran 90, memory leaks 953 956 1327
Fortran 90, memory management 938 953ff.
Fortran 90, merge() intrinsic function 945 950 1010 1094f. 1099f.
Fortran 90, Metcalf and Reid (M&R) 935
Fortran 90, minloc() intrinsic function 949 961 992f.
Fortran 90, minval()intrinsic function 948 961
Fortran 90, missing language features 983ff. 987ff.
Fortran 90, modularization 956f.
Fortran 90, MODULE facility 2/xiii 936f. 939f. 953f. 957 1067 1298 1320 1322 1324 1330 1346
Fortran 90, MODULE subprograms 940
Fortran 90, modulo()intrinsic function 946 1156
Fortran 90, named constant 940 1012 1361
Fortran 90, named control structure 959 1219 1305
Fortran 90, nearest()intrinsic function 952 1146
Fortran 90, nested where construct forbidden 943
Fortran 90, not() intrinsic function 951
| Fortran 90, nullify statement 953f. 1070 1302
Fortran 90, numerical representation functions 951
Fortran 90, ONLY option 941 957 1067
Fortran 90, operator overloading 2/xiif.
Fortran 90, operator, user-defined 2/xii
Fortran 90, optional argument 2/xiv 947f. 1092 1228 1230 1256 1272 1275 1340
Fortran 90, outer product 969f.
Fortran 90, overloading 940 1083 1102
Fortran 90, pack()intrinsic function 945 950 964 969 991 1170 1176 1178
Fortran 90, pack, for selective evaluation 1087
Fortran 90, parallel extensions 2/xv 959ff. 964 981 984 987 1002 1032
Fortran 90, parallel programming 963ff.
Fortran 90, PARAMETER attribute 1012
Fortran 90, pointer 2/xiiif. 938f. 941 944f. 952ff. 1067 1070 1197 1210 1212 1266 1302 1327 1336
Fortran 90, pointer to function (missing) 1067
Fortran 90, portability 963
Fortran 90, present() intrinsic function 952
Fortran 90, PRIVATE attribute 957 1067
Fortran 90, product() intrinsic function 948
Fortran 90, programming conventions 937
Fortran 90, PUBLIC attribute 957 1067
Fortran 90, quick start 936
Fortran 90, radix()intrinsic function 1231
Fortran 90, random_number() intrinsic function 1141 1143
Fortran 90, random_seed() intrinsic function 1141
Fortran 90, real() intrinsic function 947 1125
Fortran 90, RECURSIVE keyword 958 1065 1067
Fortran 90, recursive procedure 2/xiv 958 1065 1067 1166
Fortran 90, reduction functions 948
Fortran 90, reshape() intrinsic function 950 969 1247
Fortran 90, RESULT keyword 958 1073
Fortran 90, SAVE attribute 953f. 958f. 1052 1070 1266 1293
Fortran 90, scale() intrinsic function 1107
Fortran 90, scatter-with-combine (missing function) 984
Fortran 90, scope 956ff.
Fortran 90, scoping units 939
Fortran 90, select case statement 2/xiv 1010 1036
Fortran 90, shape() intrinsic function 938 949
Fortran 90, size() intrinsic function 938 942 945 948
Fortran 90, skew sections 985
Fortran 90, sparse matrix representation 1030
Fortran 90, specification statement 2/xiv
Fortran 90, spread() intrinsic function 945 950 966ff. 969 1000 1094 1290f.
Fortran 90, statement functions deprecated 1057
Fortran 90, stride (of an array) 944
Fortran 90, structure constructor 2/xii
Fortran 90, subscript triplet 944
Fortran 90, sum() intrinsic function 945 948 966
Fortran 90, tiny() intrinsic function 952
Fortran 90, transformational functions 948
Fortran 90, transpose() intrinsic function 950 960 969 981 1247
Fortran 90, tricks 1009 1072 1146 1274 1278 1280
Fortran 90, truncation elemental functions 946
Fortran 90, type checking 1140
Fortran 90, ubound() intrinsic function 949
Fortran 90, undefined pointer 953
Fortran 90, unpack()intrinsic function 950 964 969
Fortran 90, USE statement 936 939f. 954 957 1067 1384
Fortran 90, utility functions 987ff.
Fortran 90, vector subscripts 2/xiif. 969 981 984 1002 1032 1034 1250
Fortran 90, visibility 956ff. 1209 1293 1296
Fortran 90, WG5 technical committee 2/xi 2/xiii 2/xvf.
Fortran 90, where construct 943 985 1060 1291
Fortran 90, X3J3 Committee 2/viii 2/xff. 2/xv 947 959 964 968 990
Fortran 90, zero-length array 944 (see also Intrinsic procedures; Fortran)
Fortran 95 947 959ff.
Fortran 95, allocatable variables 961
Fortran 95, and skew array section 945 985
Fortran 95, blocks 960
Fortran 95, cpu_time() intrinsic function 961
Fortran 95, elemental functions 2/xiii 2/xv 940 961 986 1015 1083f. 1097f.
Fortran 95, forall statement 2/xii 2/xv 960 964 968 986 1007
Fortran 95, initialization of derived data type 2/xv
Fortran 95, initialization of pointer 2/xv 961
Fortran 95, minor changes from Fortran 90 961
Fortran 95, modified intrinsic functions 961
Fortran 95, nested where construct 2/xv 960 1100
Fortran 95, pointer association status 961
Fortran 95, pointers 961
Fortran 95, PURE attribute 2/xv 960f. 964 986
Fortran 95, SAVE attribute 961
Fortran 95, side effects 960
Fortran bit manipulation functions 17
Fortran D 2/xv
Fortran eightx 2/xi 2/xiii
Fortran hexadecimal constants 17
Fortran sevsev 1/xix
Fortran, arithmetic-if statement 2/xi
Fortran, COMMON block 2/xif. 953 957
Fortran, deprecated features 2/xif. 947 1057 1161 1256 1286
Fortran, dynamical allocation of storage 869 1336
Fortran, equivalence statement 2/xif. 1161 1286
Fortran, evolution of 2/xivff.
Fortran, exception handling 2/xii 2/xvi
Fortran, filenames 935
Fortran, Fortran ninfive 2/xv 945 947 1084 1100 1364
Fortran, Fortran twthousand (planned) 2/xvi 1459
Fortran, HPF (High — Performance Fortran) 2/xvf.
Fortran, Numerical Recipes in 2/x 2/xvii 1
Fortran, obsolescent features 2/xif.
Fortran, side effects 960 (see also Fortran 90)
Forward deflation 363
Forward difference operator 161
Forward Euler differencing 826f.
Forward Time Centered Space see FTCS
Four-step framework, for FFT 983 1239
Fourier analysis and cyclic reduction (FACR) 848f. 854
Fourier integrals, attenuation factors 583 1261
Fourier integrals, endpoint corrections 578f. 1261
Fourier integrals, tail integration by parts 583
Fourier integrals, use of fast Fourier transform (FFT) 577ff. 1261f.
Fourier transform 99 490ff. 1235ff.
Fourier transform, aliasing 495 569
Fourier transform, and wavelets 592f.
Fourier transform, approximation of Dawson’s integral 253
Fourier transform, autocorrelation 492
Fourier transform, basis functions compared 508f.
Fourier transform, contrasted with wavelet transform 584 594
Fourier transform, convolution 492 503f. 531f. 909 1253 1354
Fourier transform, correlation 492 538f. 1254
Fourier transform, cosine transform 190 511f. 851 1245f.
Fourier transform, cosine transform, second form 513 852 1246
Fourier transform, critical sampling 494 543 545
Fourier transform, definition 490
Fourier transform, discrete Fourier transform (DFT) 184 495ff.
Fourier transform, Gaussian function 600
Fourier transform, image processing 803 805
Fourier transform, infinite range 583
Fourier transform, inverse of discrete Fourier transform 497
Fourier transform, method for partial differential equations 848ff.
Fourier transform, missing data 569
Fourier transform, missing data, fast algorithm 574f. 1259
Fourier transform, Nyquist frequency 494ff. 520 543 545 569 571
Fourier transform, optimal (Wiener) filtering 539ff. 558
Fourier transform, Parseval’s theorem 492 498 544
Fourier transform, power spectral density (PSD) 492f.
Fourier transform, power spectrum estimation by FFT 542ff. 1254ff.
Fourier transform, power spectrum estimation by maximum entropy method 565ff. 1258
Fourier transform, properties of 491f.
Fourier transform, sampling theorem 495 543 545 600
Fourier transform, scalings of 491
Fourier transform, significance of a peak in 570
Fourier transform, sine transform 508ff. 850 1245
Fourier transform, symmetries of 491
Fourier transform, uneven sampling, fast algorithm 574f. 1259
Fourier transform, unevenly sampled data 569ff. 574 1258
Fourier transform, Wiener — Khinchin theorem 492 558 566f.
Fractal region 360f.
Fractional step methods 847f.
Fredholm alternative 780
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