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Thompson W.J. — Computing for Scientists and Engineers: A Workbook of Analysis, Numerics, and Applications
Thompson W.J. — Computing for Scientists and Engineers: A Workbook of Analysis, Numerics, and Applications



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Название: Computing for Scientists and Engineers: A Workbook of Analysis, Numerics, and Applications

Автор: Thompson W.J.

Аннотация:

Topics are divided between review material on the mathematics background; numerical-analysis methods such as differentiation, integration, the solution of differential equations from engineering, life and physical sciences; data-analysis applications including least-squares fitting, splines and Fourier expansions. Unique in its project orientation, it features a vast amount of exercises with emphasis on realistic examples from current applications.


Язык: en

Рубрика: Математика/Численные методы/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1992

Количество страниц: 444

Добавлена в каталог: 01.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
System identification      see Least-squares fitting
Taylor series      65
Taylor series, for exponentials      61
Taylor series, for hyperbolic functions      71
Taylor series, for inverse circular functions      70
Taylor series, for logarithms      72
Taylor series, interpreting      59
Taylor series, remainder      60
Taylor's theorem      58 59
Taylor's theorem, statement and proof      58
Taylor, A. E.      4 14 51 57 59 98
Taylor, J. R.      181 209 219
Tensor      406
Thompson, D'Arcy W.      235 255
Thompson, W. J.      4 14 185 202 219 350 376
Tomography      397
Trajectories in complex plane      38-41
Trajectories in complex plane, circular      40
Translating between C, Fortran, and Pascal      423-428
Trapezoid formula, comparison with Simpson formula      142
Trapezoid formula, composite formula      136
Trapezoid formula, error estimate      135
Trapezoid formula, for numerical integrals      135-140
Trapezoid formula, graphical interpretation      136
Trapezoid formula, program for      136
Trapezoid formula, testing with cosines      143
Trigonometric series for overshoot      355
Trigonometric series, summing numerically      359-360
Truncation errors      112
Truncation filtering      373
Tuchinsky, P.      235 255
Tufte, E. R.      11 15
Type fonts and spline fitting      178
Uniform distribution      212
Unstable methods      114-116
Unstable problems      114-116
Unstable problems, and ill-conditioned matrices      115
Unstable problems, and linear equation solution      114
Unstable problems, and spline derivatives      174
Unstable problems, relation to unstable equilibrium and chaos      116
Unstable problems, stiff differential equations are      305
Vandergraft, J.S.      144 151 247 255
Vanilla ice cream      3
Variance calculations, subtractive cancellation in      117
Varner, R. L.      218 219
Verhulst equation      see Logistic growth
Vibrations and waves      42
Vibrations and waves, differential equations for      269
Vibrations and waves, Fourier integral transforms and      384
Voigt profile      406-411
Voigt profile, applied to stellar spectra      4 19
Voigt profile, by direct integration      418
Voigt profile, computation of      411-419
Voigt profile, expansion in H functions for      408-411
Voigt profile, program for series expansion      413-418
Voigt, Waldemar      406
Wagon, S.      11 12 15
Weaver, H. J.      322 376
Wedge function, Fourier integral transform of      384
Wedge function, Fourier series for      343-345
Weights in least-squares fitting      185
Weights in least-squares fitting, for straight-line least squares      190
Weights in least-squares fitting, mechanical analogy      190
Whipp, B. J.      235 255
White, H. E.      269 313
Whitney, C. A.      218 219
Wiener — Khinchin theorem      320
Wilbraham — Gibbs overshoot      349-360
Wilbraham — Gibbs overshoot, at function discontinuity      353-358
Wilbraham — Gibbs overshoot, for sawtooth      358
Wilbraham — Gibbs overshoot, for square pulse      356
Wilbraham — Gibbs overshoot, history of      349
Wilbraham — Gibbs overshoot, not from slope discontinuities      351
Wilbraham — Gibbs overshoot, numerical methods for      359-360
Wilbraham, H.      350 376
Window function, convolution with Lorentzian      394
Window function, Fourier series for      345-347
Wolfram, S.      5 10 11 15 20 49 52 98 151 224 255 421 422
Woltring, H. J.      218 219
Women sprinters      234-235
Women sprinters, improvements in sprints      235
Women sprinters, world-record sprints      234
Woods — Saxon function      see Logistic growth
Working function, analytical derivatives      101
Working function, analytical integral      101
Working function, program for      106
Working function, properties      100-102
Working function, spline fit      155
Workstations, and C language      7
Workstations, using      421
World-record sprints      225-235
World-record sprints, and speed limits      235
World-record sprints, average speed in      228
World-record sprints, Carl Lewis      233
World-record sprints, differential equation for      226
World-record sprints, distance versus time      227
World-record sprints, effect of track turn      233
World-record sprints, normalization factor      229
World-record sprints, program for analyzing      229
World-record sprints, times for men and women      226
Wraparound in convolution      398
Wren, Christopher      279
Wylie, C. R.      4 15 228 255
Yakutsk, Siberia      182
Yee, H. C.      239 255
York, D.      191 219
Zeiterman, D.      241
Zeta function      353
Zill, D. G.      247 255 312 313
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