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