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Englezos P., Kalogerakis K. — Applied parameter estimation for chemical engineers
Englezos P., Kalogerakis K. — Applied parameter estimation for chemical engineers

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Название: Applied parameter estimation for chemical engineers

Авторы: Englezos P., Kalogerakis K.

Аннотация:

Provides students and practicing engineers with tools that can be used for the solution of parameter estimation problems. The emphasis is on chemical engineering applications and on systems described by nonlinear algebraic and ordinary differential equations. The Gauss- Newton method is featured, but shortcut methods are also presented. Englezos (University of British Columbia) and Kalogerakis (Technical University of Crete) describe how to formulate and solve parameter estimation problems, compute the statistical properties of the parameters, perform model adequacy tests, and design experiments for parameter estimation or model discrimination. The CD-ROM contains Fortran programs for solving estimation problems.


Язык: en

Рубрика: Математика/Вероятность/Статистика и приложения/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2001

Количество страниц: 434

Добавлена в каталог: 29.05.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
1,3-propanediol      102 307 321
3-hexane      55 285
3-hydroxypropanal      102 307 321
Activity coefficient      268
Adequacy of model test for      3 182
Algebraic model      7 49 285 323
Annealing algorithm      79
Apparent rate      120
Asymptotic behavior      135
Autocorrelation      156
Bartlett’s test      192
Bayessian estimation      88 146
benzene      98 129 303
BFGS formula      77
Bicyclo [2.1.1] hexane      58 287
Binary critical point data      261
Binary VLE Data      6 231
Biological oxygen demand      56 323
Bisection rule      52 91 165
Bitumen oxidation      359
Bourgoyne — Young      355
Bubble-free bioreactor      342
Chemical kinetics      3 55 58 285
Chi-squared test      192
Choleky factorization      72
Computational efficiency      69
Condition number      72 141 189
Conditionally linear system      9 138
Confidence interval      33 178
Confidence region      33 178
Conjugate gradient method      76
Constrained estimation      158
Constraints, equality      158
Convergence, criteria      52
Correlation matrix      378
Covariance matrix      32 177 257
Critical point      51
Cubic splines      117 130
Curve fitting      2 29
Decomposition      75 144 241
Degrees of freedom      32 178 257
Dependent variable      8
Derivative approach      116 333
Derivative free methods      78
Design of experiments      3 185
Determinant criterion      19
DFP formula      77
Dialyzed chemostat      336
Differential equation model      11 84
Diphenyl      98 303
Direct search methods      78 139 155
Divergence criterion      192 200
Drilling rate      354
Dynamic systems      11 13 156
Eadie — Hofstee plot      138 326
Efficiency      69
Eigenvalue      75 91 142 189
Enzyme kinetics      60 324 341
Equation of state      5 226
Error propagation law      235
error, random      1
Errors in variables model      21 233
Estimation, explicit      14
Estimation, implicit      19
Estimation, linear      2 23
Estimation, maximum likelihood      15
Estimation, nonlinear      2
Estimation, shortcut      5 15
Experimental design, factorial      3 185
Experimental design, preliminary      185
Experiments batch      121
Experiments batch, chemostat      122 213 331
Experiments batch, continuous      122
Experiments batch, fed-batch      121 207
Experiments batch, perfusion      122 128
F-distribution      33 178
F-test      183
Factorial design      3 185
Fletcher — Powel function      82
Fletcher — Reeves      77
GAMS      120
Gas hydrates      315
Gauss — Newton      49 85 169
Generalized least squares      27
Gill — Murray method      72
Gradient methods      67
Gradient vector      68
Hanes plot      138 327
Hessian matrix      71 74
History matching      5 372 3—
Hypothesis, null      182
Hypothesis, testing      182
Identification problem      2
Ill-conditioning      141
Implicit estimation      10 19
IMSL library      117 130
Independent variables      8
Inequality      162
Information index      152 205
Initial, conditions      93
Initial, guess      85 135
Integral approach      118 326
Interaction parameters      6 228
Jacobean      70 73 90
Joint, confidence region      33 178
Joint, likelihood region      179
Kuhn — Tucker      165
Langrange multiplier      159
Least squares, constrained      158 161 236
Least squares, explicit      14 233
Least squares, generalized      15 27
Least squares, implicit      19 236
Least squares, linear      26 27
Least squares, nonlinear      2
Least squares, recursive      219
Least squares, recursive extensive      221
Least squares, recursive generalized      223
Least squares, simple      15
Least squares, simple linear      26
Least squares, simplified constrained      237
Least squares, unconstrained      236 250
Least squares, unweighted      15
Least squares, weighted      15 26
Least squares, weighting matrix      147
Linear, least squares      26 27
Linear, regression      23 29
Linearization      50 85 159 169
Lineweaver — Burk plot      137 325
LJ Optimization      79
Log likelihood function      16
Marginal interval      33 178
Marquardt — Levenberg method      144
Marquardt’s modification      144
Matrix, covariance      32 177 257
Matrix, ill-conditioning      141
Matrix, sensitivity      51 86 94
Maximum likelihood      15 232
Michaelis — Menten      60 137 324
MicrosoftExcel      35
Model      1
Model adequacy      3 182
Model, algebraic      7 49 285 323
Model, autoregressive      156
Model, biochemical engineering      323
Model, chemical reaction kinetic      285
Model, discrimination      3 191
Model, equivalent run      376
Model, linear regression      23
Model, Monod      120
Model, multiple linear      24 354
Model, multiresponse linear      25
Model, ODE      11 84 302 345
Model, PDE      13 167
Model, simple linear      24
Modified Newton method      76
Monoclonal antibody      331
Multiple linear regression      24 35
Multiresponse linear regression      25
Nelder — Mead algorithm      82
Newton’s method      71
Nitric oxide      61 288
Nonlinear regression      2
Null hypothesis      182
Objective function      3 13
ODE      11 84 302 345
Offshore well data      354
Oil sands      359
Optimal step-size policy      140 150
Osmotic coefficients      269
Outliers      133
Overstepping      139
Parameter, conditionally linear      9 138
Parameter, confidence interval      33 177
Parameter, estimation      2
PDE      13 167
Penalty function      163 384
Peng — Robinson      5
Pitzer’s model      268
Polak — Ribiere      77
Polak — Ribiere method      77
Polynomial fitting      29
Pooled variance      194
Powell function      82
Prior information      146 383
Pseudoinverse      143
Pulsar aerator      328
Quadratic      55
Quadratic convergence      55
Quasi — Newton methods      77
Quasilinearization method      111
Radial coning problem      374
Rate constant      4
Rate of convergence      69
Recursive, extended least squares      221
Recursive, generalized least squares      223
Recursive, least squares      219
Recursive, region of convergence      150 306
Regression, linear      11 223
Regression, nonlinear      2
Reliability      377 386 390
Reparameterization      162
Reservoir, characterization      381 385
Reservoir, engineering      5 372
Reservoir, simulation      372
Residuals      13
Response variable      8 179
Risk      389
Robustness      69
Rosenbrock function      77
Sampling rate      198
Scaling      71 145
Secant methods      77
Sensitivity matrix      51 86 145 173
SEQUENTIAL      3 187
Sequential design      3 187 198
Shape criterion      189
Shortcut methods      5 115
SigmaPlot      42
Simplex method      81
Simulated annealing      78
Smoothing      117 130
Splines      117 130
Stability, criterion      237
Stability, function      250 237
Standard, deviation      179
Standard, error      179
state variables      8 11 50 85
Stationary criterion      28 68 87
Statistical inferences      32 177
Steepest descent method      69
Stiff ODE models      148 307
t-distribution      33 178 388
Time interval      197
Transformably linear model      136
Trebble — Bishnoi      228
Triphenyl      98 303
Unconstrained least squares      250
Variable metric methods      77
Variance      32 177 328
Volume criterion      188
Weighted least squares      15
Weighting matrix      14 147
Well productivity index      387
Well scaled      71
White noise      156
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