Computational and Statistical Methods for Chemical Engineering
portes grátis
Computational and Statistical Methods for Chemical Engineering
Wit, Ernst C.; Krijnen, Wim P.
Taylor & Francis Ltd
12/2022
26
Dura
Inglês
9781032013244
15 a 20 dias
Descrição não disponível.
I. Preliminaries. 1. What to expect in this book? 2. Calculus and Linear Algebra Essentials. 2.1. Scalars, Vectors and Matrices. 2.2. Sequences and Series. 2.3. Functions. 2.4. Differentiation. 2.5. Maxima and Minima. 2.6. Integration. 2.7. Differential Equations. 2.8. Complex Numbers and Functions. 2.9. Exercises. 3. Probability Essentials. 3.1. Probability of Events. 3.2. Random Variables. 3.3. Pseudo Random Number Generation. 3.4. Notes and Comments. 3.5. Notes on Using R. 3.6. Exercises. II. Numerics and Error Propagation. 4. Introduction to Numerical Methods. 4.1. Fixed Point Problems. 4.2. Numerical Methods for Solving Differential Equations. 4.3. Differential Algebraic Equations. 4.4. Notes and Comments. 4.5. Notes on Using R. 4.6. Exercises. 5. Laws on propagation of Error. 5.1. Absolute and Relative Error of Measurement. 5.2. Mean and Variance. 5.3. Functions that Depend on One Variable. 5.4. Functions that Depend on Two Variables. 5.5. Notes and Comments. 5.6. Notes on Using R. 5.7. Exercises. III. Various Types of Models and their Estimation. 6. Measurement Models for a Chemical Quantity. 6.1. Measurement Model. 6.2. Law of Large Numbers. 6.3. Constructing Confidence Intervals. 6.4. Testing Chemical Hypotheses related to Measurement Models. 6.5. General Inference Paradigm. 6.6. Notes and Comments. 6.7. Notes on Using R. 6.8. Exercises. 7. Linear Models. 7.1. Linear Model. 7.2. Estimation and Prediction. 7.3. Model Diagnostics. 7.4. Model Selection. 7.5. Specific Linear Models. 7.6. Notes and Comments. 7.7. Notes on Using R. 7.8. Exercises. 8. Non-linear Models. 8.1. Some non-linear Functions Modeling chemical Processes. 8.2. Non-linear Regression. 8.3. Inverse Regression. 8.4. Generalized Linear Models. 9. Chemodynamics and Stoichiometry. 9.1. Stoichiometry of Systems of Reactions. 9.2. Stochastic Models for Particle Dynamics. 9.3. Estimating Reaction Rates. 9.4. Mean-field Approximation of Reaction System. 10. Multivariate Exploration. 10.1. Data Visualisation. 10.2. Matrix Decomposition. 10.3. Principal Components Analysis. 10.4. Regression using a Subspace. 10.5. Notes and Comments. 10.6. Notes on Using R. 10.7. Exercises. IV. Analysis of Designed Experiments. 11. Analysis of Data from Designed Experiments. 11.1. Concepts of Factorial Designs. 11.2. Analysis of Variance. 11.3. Analysis of the Response Surface. 11.4. Mixed Effects Models. 11.5. Notes and Comments. 11.6. Notes on Using R. 11.7. Exercises. 12. Robust Analysis of Models. 12.1. Outlying Data Points. 12.2. Robust Estimation. 12.3. Robust Linear Regression. 12.4. Robust Nonlinear Regression. 12.5. Dealing with Heterogeneity. 12.6. Appendix: Scale Tau Estimator. 12.7. Notes and Comments. 12.8. Notes on Using R. 12.9. Exercises. V. Appendix. 13. Basics of R Computing Environment. 13.1. R Basics. 13.2. Useful Functions. 13.3. Model Notation.13.4. Finding Help. 13.5. Exercises
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Chemical Engineering;computational and statistical methods;Chemodynamics;stoichiometry;Ode;Fixed Point Iterations;Euler Maruyama Approximation;QR Decomposition;Data Set;Scad Estimator;Gillespie Algorithm;Outlying Data Points;Minimum AIC;PCR;LLA;Inorganic Soil Phosphorus;Cook's Distance;Organic Soil Phosphorus;Predictor Matrix;Fixed Point Problem;Octane Numbers;Tube Flow Reactor;Scad;Residual Standard Error;Fixed Point Iterative Methods;VIF;Diagnostic Plots;Hydrogen Consumption;Stoichiometric Coefficients
I. Preliminaries. 1. What to expect in this book? 2. Calculus and Linear Algebra Essentials. 2.1. Scalars, Vectors and Matrices. 2.2. Sequences and Series. 2.3. Functions. 2.4. Differentiation. 2.5. Maxima and Minima. 2.6. Integration. 2.7. Differential Equations. 2.8. Complex Numbers and Functions. 2.9. Exercises. 3. Probability Essentials. 3.1. Probability of Events. 3.2. Random Variables. 3.3. Pseudo Random Number Generation. 3.4. Notes and Comments. 3.5. Notes on Using R. 3.6. Exercises. II. Numerics and Error Propagation. 4. Introduction to Numerical Methods. 4.1. Fixed Point Problems. 4.2. Numerical Methods for Solving Differential Equations. 4.3. Differential Algebraic Equations. 4.4. Notes and Comments. 4.5. Notes on Using R. 4.6. Exercises. 5. Laws on propagation of Error. 5.1. Absolute and Relative Error of Measurement. 5.2. Mean and Variance. 5.3. Functions that Depend on One Variable. 5.4. Functions that Depend on Two Variables. 5.5. Notes and Comments. 5.6. Notes on Using R. 5.7. Exercises. III. Various Types of Models and their Estimation. 6. Measurement Models for a Chemical Quantity. 6.1. Measurement Model. 6.2. Law of Large Numbers. 6.3. Constructing Confidence Intervals. 6.4. Testing Chemical Hypotheses related to Measurement Models. 6.5. General Inference Paradigm. 6.6. Notes and Comments. 6.7. Notes on Using R. 6.8. Exercises. 7. Linear Models. 7.1. Linear Model. 7.2. Estimation and Prediction. 7.3. Model Diagnostics. 7.4. Model Selection. 7.5. Specific Linear Models. 7.6. Notes and Comments. 7.7. Notes on Using R. 7.8. Exercises. 8. Non-linear Models. 8.1. Some non-linear Functions Modeling chemical Processes. 8.2. Non-linear Regression. 8.3. Inverse Regression. 8.4. Generalized Linear Models. 9. Chemodynamics and Stoichiometry. 9.1. Stoichiometry of Systems of Reactions. 9.2. Stochastic Models for Particle Dynamics. 9.3. Estimating Reaction Rates. 9.4. Mean-field Approximation of Reaction System. 10. Multivariate Exploration. 10.1. Data Visualisation. 10.2. Matrix Decomposition. 10.3. Principal Components Analysis. 10.4. Regression using a Subspace. 10.5. Notes and Comments. 10.6. Notes on Using R. 10.7. Exercises. IV. Analysis of Designed Experiments. 11. Analysis of Data from Designed Experiments. 11.1. Concepts of Factorial Designs. 11.2. Analysis of Variance. 11.3. Analysis of the Response Surface. 11.4. Mixed Effects Models. 11.5. Notes and Comments. 11.6. Notes on Using R. 11.7. Exercises. 12. Robust Analysis of Models. 12.1. Outlying Data Points. 12.2. Robust Estimation. 12.3. Robust Linear Regression. 12.4. Robust Nonlinear Regression. 12.5. Dealing with Heterogeneity. 12.6. Appendix: Scale Tau Estimator. 12.7. Notes and Comments. 12.8. Notes on Using R. 12.9. Exercises. V. Appendix. 13. Basics of R Computing Environment. 13.1. R Basics. 13.2. Useful Functions. 13.3. Model Notation.13.4. Finding Help. 13.5. Exercises
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Chemical Engineering;computational and statistical methods;Chemodynamics;stoichiometry;Ode;Fixed Point Iterations;Euler Maruyama Approximation;QR Decomposition;Data Set;Scad Estimator;Gillespie Algorithm;Outlying Data Points;Minimum AIC;PCR;LLA;Inorganic Soil Phosphorus;Cook's Distance;Organic Soil Phosphorus;Predictor Matrix;Fixed Point Problem;Octane Numbers;Tube Flow Reactor;Scad;Residual Standard Error;Fixed Point Iterative Methods;VIF;Diagnostic Plots;Hydrogen Consumption;Stoichiometric Coefficients
