Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Collatz L. — The numerical treatment of differential equations
Collatz L. — The numerical treatment of differential equations

Читать книгу
бесплатно

Скачать книгу с нашего сайта нельзя

Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: The numerical treatment of differential equations

Автор: Collatz L.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 3-rd edition

Год издания: 1966

Количество страниц: 584

Добавлена в каталог: 05.03.2013

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
$h^{2}$-extrapolation      144 154 See
Ablation      309
Abstract space      34 42
Adams extrapolation method      83 91 112 124 125
Adams extrapolation method, error estimates for      105 107
Adams interpolation method      78 85 98 126 131 137 139
Adams interpolation method, error estimates for      103 105 108 133
Adams, J.C.      78 83 536—537
Admissible function      202 213 229 425 485
Aerodynamics      286 318
Agmon, S.      329
Aitken, A.C.      162
Albrecht, J.      65 71 293 347 449 546 554
Allen, D.N. de G.      136 154 334 364
Analytic solutions      522
Antisymmetry      394
Applied mathematician      64
Approximate characteristics      324
Approximate differential equation      55 316
Approximate error limits      103 180 299 349 See
Approximation function      28
Approximation parameters      28
Arbitrary mesh      263 370
Aronszajn, N.      239
Asymptotic series      223
Averaging procedure for the heat equation      267 280 284
Averaging procedure, Liebmann's      348 356
Backward difference quotient      263 269 274 275
Backward differences      7
Baggott, E.A.      48
Banach, St.      35
Bashforth, F.      83
Bateman, H.      397 498 500
Batschelet, E.      346
Bauersfeld, K.H.      263
Beam      see "Bending" "Vibrations"
Beck, E.      19 54
Bending moment      143 152
Bending of a beam      221
Bending of a plate      359 391 406 409 421 431 434 453
Bending of a strut      143 155 163 168 182 188 195 209 224
Bending of an elastically mounted rail      152 219
Berger, E.      406
Bergman, St.      286 403 419
bernoulli      403
Bernstein, Dorothy L.      262
Bertram, G.      239
Bickley, W.G.      364 380
Bieberbach, L.      71
Biezeno, C.B.      4 251 358
Biharmonic boundary-value problems      26 406 409 432 See
Biharmonic operator      26 389
Blaess, V.      70
Blasius equation      140 See
Bleich, F.      520
Block relaxation      155 158 364
Block relaxation, generalized      365
Boedewadt, V.T.      223
Bolza, O.      208
Boundary collocation      28 413
boundary conditions      2 et seq.
Boundary conditions for elliptic differential equations      24
Boundary conditions of the 1st 2nd and 3rd kinds      4
Boundary conditions, essential      4 206 216
Boundary conditions, homogeneous      4
Boundary conditions, inhomogeneous      4
Boundary conditions, linear      4
Boundary conditions, natural      432
Boundary conditions, non-linear      3
Boundary conditions, Sturm's      4
Boundary conditions, suppressible      4 206 216
Boundary expression      215 240
Boundary methods      28 413 417
Boundary pivot      344
Boundary point      345
Boundary terms      203 206
Boundary, mesh      345
Boundary-layer problem      75 130 138 333
Boundary-maximum theorem      329 396 See
Boundary-minimum theorem      398
Boundary-value problem      2 et seq. 141 342
Boundary-value problem, completely homogeneous      5
Boundary-value problem, first      25 344 355 399 427 437 441
Boundary-value problem, homogeneous      4
Boundary-value problem, linear      3 6
Boundary-value problem, mixed      346
Boundary-value problem, monotonic      41 48 200 408
Boundary-value problem, non-linear      38 47 75 145 159 179 184 198 201 212 226 252 453
Boundary-value problem, number of solutions      3
Boundary-value problem, second      25 346 355 449
Boundary-value problem, third      25 346 401 427 437 449
Bracketing      42 353 444 See "Monotonic
Bracketing of eigenvalues      228 233 248 252 502 503 527
Bracketing of solutions by relaxation      159 364
Brock, P.      83
Brouwer's fixed-point theorem      43
Brouwer, L.E.J.      43
Brueche, E.      125
Bruwier, L.      378
Bueckner, H.      238 250 479
Build-up of errors      270
Bukovics, E.      70 71
Cable, electric      324 335
Cage      367
Calculus of variations      202
Carslaw, H.S.      273
Carson, J.R.      513
Cauchy integral      505
Cauchy kernel      505
Cauchy principal value      505 530
Cauchy, A.L.      54 et seq. 324 505 530
Central difference quotient      263 269 273 274 311 315
Central differences      7 264
Central-difference method      57 78 86 94 98 105 128 132 135
Challis      83
Change, iterative      157 361
Characteristic curves      308 321
Characteristic equation      99 106 307 309
Characteristic roots of a matrix      99 121 See
Characteristic strips      307
Characteristics method of      318 323 335
Characteristics of a partial differential equation      261 295 311 320
Characteristics, magnetic      91
Charge distribution      335
Chebyshev's quadrature formula      470 475 477
Chebyshev, L.      470 475 477
Checking by differencing      72
Checking techniques      2 72 209
Checks      1
Checks, current      2 72
Checks, row-sum      269 276 280 294 326 339 341
Checks, terminal      52 72
Churchill, R.V.      273
Co-normal      23
Coil      91
Collatz, L.      25 42 45 89 90 99 101 110 111 117 135 162 177 228 229 234 236 240 246 304 329 330 365 380 385 462 468 479 492 503
Collocation      28 29 32 181 411 453 483 495 See
Collocation points, choice of      29 183 411 466
Column calculation, simplification of      55
Combined methods      31
Combined methods, Collocation and iteration      34 195 481
Combined methods, iteration and error distribution      33
Combined methods, least-squares      31
Combined methods, Ritz      208
comparison function      229
Comparison of solutions with different steps      51 52 71 75 144 154 169
Comparison theorem      236
Complete abstract space      35 37
Complete system of functions      30 222 422
Completely homogeneous boundary-value problem      5
Complex integration, formulae for      96
Complex solutions      252
Conformal transformation      507
Conjugate potential function      355
Connectivity of a mesh      345
Consistency conditions      322
control systems      521
Convergence of iterative processes      38 97 190 250 478 516
Convergence of main iteration      89 97 104 131
Convergence of power series      225
Convergence of single-step iteration      46 173 174
Convergence of starting iteration      99 120
Convergence of step-by-step methods      59 60 61
Convergence of total-step iteration      46 173
Convolution-type kernel      492 513
Cooperman, Ph.      406
Courant, R.      25 60 228 262 295 296 301 306 318 319 343 396—398 453 468
Craggs, J.W.      112
Current checks      2 72
Curved boundaries      345—347
Darby, P.      360
Decomposition of a matrix      44 173 372
Decomposition of finite-difference equations      372
Defect      42 115
Definiteness of a quadratic form      174
Definiteness of distance      34
Deflection      see "Bending"
Degenerate kernel      498 511
Dependence, domain of      295
Determinate region      295 311
Determinate region, finite-difference      295 311
Diagonal mesh      374
Diaz, J.B.      348 406 407 434 444
Difference equations, linear      105
Difference method      see "Finite-difference"
Difference operators      7 264
Difference quotients      141 263 343
Difference quotients, backward      263 269 274 275
Difference quotients, central      263 269 273 311 315
Difference quotients, forward      263 265 273 311
Difference table      7
Difference table, horizontal      8 84
Difference table, sloping      7
Differences      7 72
Differences, backward      7
Differences, central      7 264
Differences, forward      7
Differences, higher      7 72
Differential equation in the complex plane      95
Differential equation, disturbed      187
Differential equation, elliptic      24 43 329 344 396
Differential equation, homogeneous      4 6
Differential equation, hyperbolic      277 295 321 324 329 335
Differential equation, implicit      96
Differential equation, inhomogeneous      4 6
Differential equation, linear      3 6 306 344
Differential equation, mixed-type      286 329
Differential equation, non-linear      see "Non-linear"
Differential equation, parabolic      265 280 284 295 329
Differential equation, partial      5
Differential equation, quasi-linear      6 306 308 319
Differential equation, self-adjoint      208 216 435 446
Differential equation, stability of      112
Differential equation, systems of      110 116 153 265 305
Differential equation, transformation of      96 117 137 208
Differential operators      18
Dirichlet boundary expression      240
Dirichlet integral      437 440
Dirichlet, P.G.L.      240 348 437 440
Discontinuous solutions      522
Distance in function space      34 38 198
Disturbed differential equation      187
Doetsch, G.      273
Domain of admissible functions      202 213 425 485
Domain of dependence      295
Double series      419 421 423
Duff, G.      306
Duffing's method      54 137 318
Duffing, G.      54 137 318 536
Duncan, W.J.      32
Dusinberre, G.M.      364
Eddy current density      272
Eddy, R.P.      302
Eigenfunction      5 41 150 212 231 423 467
Eigenfunction expansion      190 246 250 422
Eigenvalue problems for functional-differential equations      528
Eigenvalue problems for integral equations      467 472 474 479 495 502
Eigenvalue problems for ordinary differential equations      5 147 163 170 210 227
Eigenvalue problems for partial differential equations      373 392 395 422 452
Eigenvalues      5 467
Eigenvalues of a matrix      see "Characteristic roots" "Latent
Eigenvalues, bracketing of      228 233 248 252 502 503
Elastic mounting      152 219
Elastic thread      453
Electric cable problem      324 335
Element of an abstract space      34 42
Elliptic differential equation      24 43 329 344 396
Elliptic function      145
Elser, K.      284 285
Eltermann, H.      113
Enclosure theorem      236 252 503 527
Energy distribution      520
Engel, F.V.A.      522
Enskog, D.      493
Error distribution methods      28 See
Error distribution principles      29 410 442 482
Error distribution principles, combination of      31
Error estimates      See also "Bracketing" "Error
Error estimates for boundary-value problems      176—177 196 348 364 399 401 407 416 446 449
Error estimates for eigenvalue problems      479 See
Error estimates for initial-value problems      51 57—61 71 97 111 113—114 133 296 299 329 331
Error estimates for iterative processes      38 97 115 196 199 353 479
Error estimates for starting values      103 109 122
Error estimates, independent      59—61 105 134
Error estimates, recursive      59—61 101 133
Error estimation by the boundary-maximum theorem      399 et seq. 418 446 449
Error estimation by the general iteration theorem      38 114 191 481
Error estimation with monotonic problems      202 331—333 416
Error estimation with power series solution      226
Error estimation with relaxation      42 364
Error function      29
Error in approximate values      57—58
Error propagation      264 268—276 301—305
Essential boundary conditions      4 206 216
Estimation of high order derivatives      103 177 179 349
Euler — Cauchy method      54 60 324
Euler — Maclaurin quadrature formula      54
Euler's conditions      203
Euler's differential equation      203 215 426 436 440 484
Euler's equations for the motion of a top      75
Euler, L.      53 et seq. 75 203 252 324 426 485 540 541
Existence of solutions      37 43 307 348 512
Explicit methods      see "Extrapolation methods"
Extrapolation formulae in the complex plane      95
Extrapolation methods      78 83 123 See "Falkner" "Nystroem" "Stormer"
Extrapolation to infinite interval      150
Extrapolation with Liebmann's iteration      357
Falkner's extrapolation method      124
Falkner, V.M.      124
Federhofer, K.      406
Fejer, L.      398
Feshbach, H.      504
Fichera, G.      397 449
Finite boundary conditions      274
Finite differences      6
Finite equation      141 287
Finite expression      160 378
Finite-difference determinate region      295 311
Finite-difference method, ordinary      141 262 342
Finite-difference method, ordinary, graphical procedure for      280 284
1 2 3 4
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2018
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте