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| Collatz L. — The numerical treatment of differential equations |
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| Предметный указатель |
Stuessi, F. 167
Sturm's boundary conditions 4
Sturm, Ch. 4
Sub-harmonic function, discrete 365
Sub-sets of mesh points 267 373
Successive approximations, method of 189 502 516 See
Summation method 53
Summation symbols 520
Suppressible boundary conditions 4 206 216
Suspension bridge 492
Symmetric kernels 470 502
Symmetric modes of vibration 258 392
Symmetric systems of finite-difference equations 174
Symmetry property of distance 34
Synge, J.L. 406
Systematic relaxation procedures 367
Systems of Euler equations 439
Systems of ordinary differential equations 110 113 116 153 265 305
Szarski, L. 330
Szegoe, G. 23 262 452
Taylor series expansion 62 et seq. 80 118 161 287 310 320 336 349 370 376 518 524
Taylor's formula 19
Taylor's theorem 20 47 160
Taylor, B. 19 et seq. 47 62 80 118 160 287 320 376
Temperature distribution (steady) in a cube 368 437
Temperature distribution (steady) in a cylinder (circular) 452
Temperature distribution (steady) in a cylinder (elliptical) 471
Temperature distribution (steady) in a rod 150 159 182
Temperature distribution (steady) in a square plate 361 453
Temperature distribution (steady) in a wire 381 387 405 411—414 419 429
Temple's quotient 246
Temple, G. 237 245 246 361
Terminal check 52 72—73
Theodorsen, T. 508
Three-dimensional problems 284 368 437
Three-eighths rule 474
Time lag 521
Todd, J. 111 301 302 508
Tolerance 349
Tollmien, W. 81 101
Top equations 75
Torsion problems 403 422 445 447 451
Total-step iteration 46 173 348 373
Transformation 35 192 See
Transformation of a differential equation 96 117 137 208
Transformation, linear 514
Transformer field 451
Transforms, Fourier 369
Transforms, integral 369
Transforms, Laplace 273 369
Transient current 335
Transmission system 514
Transonic region 286
Tranter, C.J. 369
Trapezium rule 61 469
Trapezoidal plate 391 453
Trefftz's equations 443
Trefftz's method 404 441
Trefftz, E. 64 404 441 508
Triangular inequality 34
Triangular mesh 389
Tricomi equation 263 286 329
Tricomi, F. 263 286 329
Trigonometric interpolation polynomials 83
Trigonometric series 371 423 492 506 520
Trivial solution 5
TRUE value 57
| Truncation error 57 103 109 117 164 270
Two-dimensional unsteady heat flow 284 335
Two-dimensional wave equation 335
Uhlmann, W. 101 347
Undisturbed differential equation 187
Unevenness 90 94 111
Uniqueness of fixed points 38
Uniqueness of periodic solution 199
Uniqueness of solution of difference equations 173 348
Uniqueness of solution of initial-value problem 114 307
Uniqueness of solution of integral equation 512
Uniqueness theorem for power series 225
Unit step function 514
Unsymmetric finite-difference formulae 168 170 172 312 315
Unsymmetric kernel 472
Unsymmetric point pattern 346
Vandermonde determinant 162
Vandermonde, A.Th. 162
Variation equations for the finite-difference methods 111 135
Variational calculus 202
Variational problems see "Least-squares" "Ritz's
Vibrations of a beam 303
Vibrations of a cantilever (longitudinal) 147 163 210 235 237 248
Vibrations of a cantilever (transverse) 253
Vibrations of a hexagonal plate 395
Vibrations of a membrane 278 392 453
Vibrations of a string 252 261 525
Vibrations, acoustic 452
Vietoris, L. 101
Volterra's integral equation 468 512—518
Volterra, V. 468 512
Wagner, C. 478
Wagner, K.W. 272 273 278 514
Warschawski, S.E. 508
Wasow, W. 349 398
Wave equation 277 279 295—296 335 525
wave velocity 279
Waves, acoustic 452
Weak Lipschitz condition 113
Weak row-sum criterion 45—46 173—175 348
Weber, C. 222 431 445 508
Webster, A.G. 23 262 452
Wegner, U. 434
Weidenhammer, F. 439
Weighting functions 30
Weinstein, H. 239
Weinstock, R. 435
Weissinger, J. 36 97 101 104
Weisz, P. 202
Weller, R. 357 360
Westphal, H. 329 331
Whittaker, E.T. 513
Wiarda, G. 250
Wielandt, H. 231 238 470
Willers, Fr.A. 8 49 50 138
Wing theory 512
Wittich, H. 508
Witting, H. 286
Wolf, F. 348 354
Womersley, J.R. 264
Woods, L.C. 357 386
Young, D.M. 363
Zero element 34
Zettler-Seidel, P.W. 89
Ziegler, H. 231
Zoller, K. 516
Zurmuehl, R. 65 69 70 90 111 135 171 172 385
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