Differential and differential-algebraic systems for the chemical engineer : solving numerical problems / / Guido Buzzi-Ferraris and Flavio Manenti |
Autore | Buzzi-Ferraris G (Guido) |
Pubbl/distr/stampa | Weinheim an der Bergstrasse, Germany : , : Wiley-VCH, , 2014 |
Descrizione fisica | 1 online resource (305 p.) |
Disciplina | 518.0 |
Soggetto topico |
Numerical analysis - Data processing
Engineering mathematics |
ISBN |
3-527-66712-1
3-527-66710-5 3-527-66713-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Differential and Differential-Algebraic Systems for the Chemical Engineer: Solving Numerical Problems; Contents; Preface; 1 Definite Integrals; 1.1 Introduction; 1.2 Calculation of Weights; 1.3 Accuracy of Numerical Methods; 1.4 Modification of the Integration Interval; 1.5 Main Integration Methods; 1.5.1 Newton-Cotes Formulae; 1.5.2 Gauss Formulae; 1.6 Algorithms Derived from the Trapezoid Method; 1.6.1 Extended Newton-Cotes Formulae; 1.6.2 Error in the Extended Formulae; 1.6.3 Extrapolation of the Extended Formulae; 1.7 Error Control; 1.8 Improper Integrals; 1.9 Gauss-Kronrod Algorithms
1.10 Adaptive Methods1.10.1 Method Derived from the Gauss-Kronrod Algorithm; 1.10.2 Method Derived from the Extended Trapezoid Algorithm; 1.10.3 Method Derived from the Gauss-Lobatto Algorithm; 1.11 Parallel Computations; 1.12 Classes for Definite Integrals; 1.13 Case Study: Optimal Adiabatic Bed Reactors for Sulfur Dioxide with Cold Shot Cooling; 2 Ordinary Differential Equations Systems; 2.1 Introduction; 2.2 Algorithm Accuracy; 2.3 Equation and System Conditioning; 2.4 Algorithm Stability; 2.5 Stiff Systems; 2.6 Multistep and Multivalue Algorithms for Stiff Systems 2.7 Control of the Integration Step2.8 Runge-Kutta Methods; 2.9 Explicit Runge-Kutta Methods; 2.9.1 Strategy to Automatically Control the Integration Step; 2.9.2 Estimation of the Local Error; 2.9.2.1 Runge-Kutta-Merson Algorithm; 2.9.2.2 Richardson Extrapolation; 2.9.2.3 Embedded Algorithms; 2.10 Classes Based on Runge-Kutta Algorithms in the BzzMath Library; 2.11 Semi-Implicit Runge-Kutta Methods; 2.12 Implicit and Diagonally Implicit Runge-Kutta Methods; 2.13 Multistep Algorithms; 2.13.1 Adams-Bashforth Algorithms; 2.13.2 Adams-Moulton Algorithms; 2.14 Multivalue Algorithms 2.14.1 Control of the Local Error2.14.2 Change the Integration Step; 2.14.3 Changing the Method Order; 2.14.4 Strategy for Step and Order Selection; 2.14.5 Initializing a Multivalue Method; 2.14.6 Selecting the First Integration Step; 2.14.7 Selecting the Multivalue Algorithms; 2.14.7.1 Adams-Moulton Algorithms; 2.14.7.2 Gear Algorithms; 2.14.8 Nonlinear System Solution; 2.15 Multivalue Algorithms for Nonstiff Problems; 2.16 Multivalue Algorithms for Stiff Problems; 2.16.1 Robustness in Stiff Problems; 2.16.1.1 Eigenvalues with a Very Large Imaginary Part 2.16.1.2 Problems with Hard Discontinuities2.16.1.3 Variable Constraints; 2.16.2 Efficiency in Stiff Problems; 2.16.2.1 When to Factorize the Matrix G; 2.16.2.2 How to Factorize the Matrix G; 2.16.2.3 When to Update the Jacobian J; 2.16.2.4 How to Update the Jacobian J; 2.17 Multivalue Classes in BzzMath Library; 2.18 Extrapolation Methods; 2.19 Some Caveats; 3 ODE: Case Studies; 3.1 Introduction; 3.2 Nonstiff Problems; 3.3 Volterra System; 3.4 Simulation of Catalytic Effects; 3.5 Ozone Decomposition; 3.6 Robertson's Kinetic; 3.7 Belousov's Reaction; 3.8 Fluidized Bed 3.9 Problem with Discontinuities |
Record Nr. | UNINA-9910132173103321 |
Buzzi-Ferraris G (Guido) | ||
Weinheim an der Bergstrasse, Germany : , : Wiley-VCH, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential and differential-algebraic systems for the chemical engineer : solving numerical problems / / Guido Buzzi-Ferraris and Flavio Manenti |
Autore | Buzzi-Ferraris G (Guido) |
Pubbl/distr/stampa | Weinheim an der Bergstrasse, Germany : , : Wiley-VCH, , 2014 |
Descrizione fisica | 1 online resource (305 p.) |
Disciplina | 518.0 |
Soggetto topico |
Numerical analysis - Data processing
Engineering mathematics |
ISBN |
3-527-66712-1
3-527-66710-5 3-527-66713-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Differential and Differential-Algebraic Systems for the Chemical Engineer: Solving Numerical Problems; Contents; Preface; 1 Definite Integrals; 1.1 Introduction; 1.2 Calculation of Weights; 1.3 Accuracy of Numerical Methods; 1.4 Modification of the Integration Interval; 1.5 Main Integration Methods; 1.5.1 Newton-Cotes Formulae; 1.5.2 Gauss Formulae; 1.6 Algorithms Derived from the Trapezoid Method; 1.6.1 Extended Newton-Cotes Formulae; 1.6.2 Error in the Extended Formulae; 1.6.3 Extrapolation of the Extended Formulae; 1.7 Error Control; 1.8 Improper Integrals; 1.9 Gauss-Kronrod Algorithms
1.10 Adaptive Methods1.10.1 Method Derived from the Gauss-Kronrod Algorithm; 1.10.2 Method Derived from the Extended Trapezoid Algorithm; 1.10.3 Method Derived from the Gauss-Lobatto Algorithm; 1.11 Parallel Computations; 1.12 Classes for Definite Integrals; 1.13 Case Study: Optimal Adiabatic Bed Reactors for Sulfur Dioxide with Cold Shot Cooling; 2 Ordinary Differential Equations Systems; 2.1 Introduction; 2.2 Algorithm Accuracy; 2.3 Equation and System Conditioning; 2.4 Algorithm Stability; 2.5 Stiff Systems; 2.6 Multistep and Multivalue Algorithms for Stiff Systems 2.7 Control of the Integration Step2.8 Runge-Kutta Methods; 2.9 Explicit Runge-Kutta Methods; 2.9.1 Strategy to Automatically Control the Integration Step; 2.9.2 Estimation of the Local Error; 2.9.2.1 Runge-Kutta-Merson Algorithm; 2.9.2.2 Richardson Extrapolation; 2.9.2.3 Embedded Algorithms; 2.10 Classes Based on Runge-Kutta Algorithms in the BzzMath Library; 2.11 Semi-Implicit Runge-Kutta Methods; 2.12 Implicit and Diagonally Implicit Runge-Kutta Methods; 2.13 Multistep Algorithms; 2.13.1 Adams-Bashforth Algorithms; 2.13.2 Adams-Moulton Algorithms; 2.14 Multivalue Algorithms 2.14.1 Control of the Local Error2.14.2 Change the Integration Step; 2.14.3 Changing the Method Order; 2.14.4 Strategy for Step and Order Selection; 2.14.5 Initializing a Multivalue Method; 2.14.6 Selecting the First Integration Step; 2.14.7 Selecting the Multivalue Algorithms; 2.14.7.1 Adams-Moulton Algorithms; 2.14.7.2 Gear Algorithms; 2.14.8 Nonlinear System Solution; 2.15 Multivalue Algorithms for Nonstiff Problems; 2.16 Multivalue Algorithms for Stiff Problems; 2.16.1 Robustness in Stiff Problems; 2.16.1.1 Eigenvalues with a Very Large Imaginary Part 2.16.1.2 Problems with Hard Discontinuities2.16.1.3 Variable Constraints; 2.16.2 Efficiency in Stiff Problems; 2.16.2.1 When to Factorize the Matrix G; 2.16.2.2 How to Factorize the Matrix G; 2.16.2.3 When to Update the Jacobian J; 2.16.2.4 How to Update the Jacobian J; 2.17 Multivalue Classes in BzzMath Library; 2.18 Extrapolation Methods; 2.19 Some Caveats; 3 ODE: Case Studies; 3.1 Introduction; 3.2 Nonstiff Problems; 3.3 Volterra System; 3.4 Simulation of Catalytic Effects; 3.5 Ozone Decomposition; 3.6 Robertson's Kinetic; 3.7 Belousov's Reaction; 3.8 Fluidized Bed 3.9 Problem with Discontinuities |
Record Nr. | UNINA-9910830222203321 |
Buzzi-Ferraris G (Guido) | ||
Weinheim an der Bergstrasse, Germany : , : Wiley-VCH, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Non-conventional Unit Operations : Solving Practical Issues / / by Alessandro Di Pretoro, Flavio Manenti |
Autore | Di Pretoro Alessandro |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
Descrizione fisica | 1 online resource (XVII, 115 p. 52 illus., 29 illus. in color.) |
Disciplina | 660 |
Collana | PoliMI SpringerBriefs |
Soggetto topico |
Chemical engineering
Computer-aided engineering Thermodynamics Heat engineering Heat transfer Mass transfer Industrial Chemistry/Chemical Engineering Computer-Aided Engineering (CAD, CAE) and Design Engineering Thermodynamics, Heat and Mass Transfer |
ISBN | 3-030-34572-6 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNINA-9910373887203321 |
Di Pretoro Alessandro | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Nonlinear systems and optimization for the chemical engineer : solving numerical problems / / Guido Buzzi-Ferraris, Flavio Manenti |
Autore | Buzzi-Ferraris G (Guido) |
Pubbl/distr/stampa | Weinheim, Germany : , : Wiley-VCH, , [2014] |
Descrizione fisica | 1 online resource (524 p.) |
Disciplina | 518 |
Altri autori (Persone) | ManentiFlavio |
Soggetto topico |
Nonlinear systems
Numerical analysis |
ISBN |
3-527-66716-4
3-527-66714-8 3-527-66717-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Nonlinear Systems and Optimization for the Chemical Engineer: Solving Numerical Problems; Contents; Preface; 1 Function Root-Finding; 1.1 Introduction; 1.2 Substitution Algorithms; 1.3 Bolzano's Algorithm; 1.4 Function Approximation; 1.4.1 Newton's Method; 1.4.2 The Secant Method; 1.4.3 Regula Falsi Method; 1.4.4 Muller's Method or Parabolic Interpolation; 1.4.5 Hyperbolic Interpolation Method; 1.4.6 Inverse Polynomial Interpolation Method; 1.4.7 Inverse Rational Interpolation Method; 1.5 Use of a Multiprocessor Machine with a Known Interval of Uncertainty
1.6 Search for an Interval of Uncertainty1.7 Stop Criteria; 1.8 Classes for Function Root-Finding; 1.9 Case Studies; 1.9.1 Calculation of the Volume of a Nonideal Gas; 1.9.2 Calculation of the Bubble Point of Vapor-Liquid Equilibrium; 1.9.3 Zero-Crossing Problem; 1.9.4 Stationary Condition in a Gravity-Flow Tank; 1.10 Tests for BzzFunctionRoot and BzzFunctionRootMP Classes; 1.11 Some Caveats; 2 One-Dimensional Optimization; 2.1 Introduction; 2.2 Measuring the Efficiency of the Search for the Minimum; 2.3 Comparison Methods; 2.4 Parabolic Interpolation; 2.5 Cubic Interpolation 2.6 Gradient-Based Methods2.7 Combination of Algorithms in a General Program; 2.8 Parallel Computations; 2.9 Search for the Interval of Uncertainty; 2.10 Stop Criteria; 2.11 Classes for One-Dimensional Minimization; 2.12 Case Studies; 2.12.1 Optimization of Unimodal Functions; 2.12.2 Optimization of a Batch Reactor; 2.12.3 Maximum Level in a Gravity-Flow Tank in Transient Conditions; 2.13 Tests; 3 Unconstrained Optimization; 3.1 Introduction; 3.1.1 Necessary and Sufficient Conditions; 3.1.2 Quadratic Functions; 3.1.3 Directions of Function Decrease 3.1.4 Comparison with the One-Dimensional Case3.1.5 Classification of Methods; 3.2 Heuristic Methods; 3.2.1 Modified Hooke-Jeeves Method; 3.2.2 The Rosenbrock Method; 3.2.3 The Nelder-Mead Simplex Method; 3.2.4 Robust Optnov Method Combined with the Simplex Method; 3.3 Gradient-Based Methods; 3.4 Conjugate Direction Methods; 3.5 Newton's Method; 3.6 Modified Newton Methods; 3.6.1 Singular or Nonpositive Definite Hessian Matrix; 3.6.2 Convergence Problems; 3.6.3 One-Dimensional Search; 3.6.4 Trust Region Methods; 3.6.5 Use of Alternative Methods; 3.7 Quasi-Newton Methods 3.8 Narrow Valley Effect3.9 Stop Criteria; 3.10 BzzMath Classes for Unconstrained Multidimensional Minimization; 3.11 Case Study; 3.11.1 Optimization of a Batch Reactor; 3.11.2 Optimal Adiabatic Bed Reactors for Sulfur Dioxide with Cold Shot Cooling; 3.11.3 Global Optimization; 3.12 Tests; 4 Large-Scale Unconstrained Optimization; 4.1 Introduction; 4.2 Collecting a Sparse Symmetric Matrix; 4.3 Ordering the Hessian Rows and Columns; 4.4 Quadratic Functions; 4.5 Hessian Evaluation; 4.6 Newton's Method; 4.7 Inexact Newton Methods; 4.8 Practical Preconditioners; 4.9 openMP Parallelization 4.10 Class for Large-Scale Unconstrained Minimization |
Record Nr. | UNINA-9910139019103321 |
Buzzi-Ferraris G (Guido) | ||
Weinheim, Germany : , : Wiley-VCH, , [2014] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Nonlinear systems and optimization for the chemical engineer : solving numerical problems / / Guido Buzzi-Ferraris, Flavio Manenti |
Autore | Buzzi-Ferraris G (Guido) |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Weinheim, Germany : , : Wiley-VCH, , [2014] |
Descrizione fisica | 1 online resource (524 p.) |
Disciplina | 518 |
Altri autori (Persone) | ManentiFlavio |
Soggetto topico |
Nonlinear systems
Numerical analysis |
ISBN |
3-527-66716-4
3-527-66714-8 3-527-66717-2 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Nonlinear Systems and Optimization for the Chemical Engineer: Solving Numerical Problems; Contents; Preface; 1 Function Root-Finding; 1.1 Introduction; 1.2 Substitution Algorithms; 1.3 Bolzano's Algorithm; 1.4 Function Approximation; 1.4.1 Newton's Method; 1.4.2 The Secant Method; 1.4.3 Regula Falsi Method; 1.4.4 Muller's Method or Parabolic Interpolation; 1.4.5 Hyperbolic Interpolation Method; 1.4.6 Inverse Polynomial Interpolation Method; 1.4.7 Inverse Rational Interpolation Method; 1.5 Use of a Multiprocessor Machine with a Known Interval of Uncertainty
1.6 Search for an Interval of Uncertainty1.7 Stop Criteria; 1.8 Classes for Function Root-Finding; 1.9 Case Studies; 1.9.1 Calculation of the Volume of a Nonideal Gas; 1.9.2 Calculation of the Bubble Point of Vapor-Liquid Equilibrium; 1.9.3 Zero-Crossing Problem; 1.9.4 Stationary Condition in a Gravity-Flow Tank; 1.10 Tests for BzzFunctionRoot and BzzFunctionRootMP Classes; 1.11 Some Caveats; 2 One-Dimensional Optimization; 2.1 Introduction; 2.2 Measuring the Efficiency of the Search for the Minimum; 2.3 Comparison Methods; 2.4 Parabolic Interpolation; 2.5 Cubic Interpolation 2.6 Gradient-Based Methods2.7 Combination of Algorithms in a General Program; 2.8 Parallel Computations; 2.9 Search for the Interval of Uncertainty; 2.10 Stop Criteria; 2.11 Classes for One-Dimensional Minimization; 2.12 Case Studies; 2.12.1 Optimization of Unimodal Functions; 2.12.2 Optimization of a Batch Reactor; 2.12.3 Maximum Level in a Gravity-Flow Tank in Transient Conditions; 2.13 Tests; 3 Unconstrained Optimization; 3.1 Introduction; 3.1.1 Necessary and Sufficient Conditions; 3.1.2 Quadratic Functions; 3.1.3 Directions of Function Decrease 3.1.4 Comparison with the One-Dimensional Case3.1.5 Classification of Methods; 3.2 Heuristic Methods; 3.2.1 Modified Hooke-Jeeves Method; 3.2.2 The Rosenbrock Method; 3.2.3 The Nelder-Mead Simplex Method; 3.2.4 Robust Optnov Method Combined with the Simplex Method; 3.3 Gradient-Based Methods; 3.4 Conjugate Direction Methods; 3.5 Newton's Method; 3.6 Modified Newton Methods; 3.6.1 Singular or Nonpositive Definite Hessian Matrix; 3.6.2 Convergence Problems; 3.6.3 One-Dimensional Search; 3.6.4 Trust Region Methods; 3.6.5 Use of Alternative Methods; 3.7 Quasi-Newton Methods 3.8 Narrow Valley Effect3.9 Stop Criteria; 3.10 BzzMath Classes for Unconstrained Multidimensional Minimization; 3.11 Case Study; 3.11.1 Optimization of a Batch Reactor; 3.11.2 Optimal Adiabatic Bed Reactors for Sulfur Dioxide with Cold Shot Cooling; 3.11.3 Global Optimization; 3.12 Tests; 4 Large-Scale Unconstrained Optimization; 4.1 Introduction; 4.2 Collecting a Sparse Symmetric Matrix; 4.3 Ordering the Hessian Rows and Columns; 4.4 Quadratic Functions; 4.5 Hessian Evaluation; 4.6 Newton's Method; 4.7 Inexact Newton Methods; 4.8 Practical Preconditioners; 4.9 openMP Parallelization 4.10 Class for Large-Scale Unconstrained Minimization |
Record Nr. | UNINA-9910810192603321 |
Buzzi-Ferraris G (Guido) | ||
Weinheim, Germany : , : Wiley-VCH, , [2014] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|