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 | ||
|