Differential and Differential-Algebraic Systems for the Chemical Engineer : Solving Numerical Problems /: Solving Numerical Problems. (2014)

• Record Type: Book
• Further Information: Note: Guido Buzzi-Ferraris, Flavio Manenti.
• Other Names: Buzzi-Ferraris, G (Guido); Manenti, Flavio
• Contents: Related Titles; Title Page; Copyright; Preface; Outline of This Book; Notation; BzzMath Library Style; Basic Requirements for Using BzzMath Library; How to Install Examples Collected in This Book; A Few Steps to Install BzzMath Library; Include the BzzMath Library in a Calculation Program; Chapter 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; 1.6 Algorithms Derived from the Trapezoid Method; 1.7 Error Control; 1.8 Improper Integrals. 1.9 Gauss-Kronrod Algorithms1.10 Adaptive Methods; 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; Chapter 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 Step; 2.8 Runge-Kutta Methods; 2.9 Explicit Runge-Kutta Methods. 2.10 Classes Based on Runge-Kutta Algorithms in the BzzMath Library2.11 Semi-Implicit Runge-Kutta Methods; 2.12 Implicit and Diagonally Implicit Runge-Kutta Methods; 2.13 Multistep Algorithms; 2.14 Multivalue Algorithms; 2.15 Multivalue Algorithms for Nonstiff Problems; 2.16 Multivalue Algorithms for Stiff Problems; 2.17 Multivalue Classes in BzzMath Library; 2.18 Extrapolation Methods; 2.19 Some Caveats; Chapter 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 Reaction3.8 Fluidized Bed; 3.9 Problem with Discontinuities; 3.10 Constrained Problem; 3.11 Hires Problem; 3.12 Van der Pol Oscillator; 3.13 Regression Problems with an ODE Model; 3.14 Zero-Crossing Problem; 3.15 Optimization-Crossing Problem; 3.16 Sparse Systems; 3.17 Use of ODE Systems to Find Steady-State Conditions of Chemical Processes; 3.18 Industrial Case: Spectrokinetic Modeling; Chapter 4: Differential and Algebraic Equation Systems; 4.1 Introduction; 4.2 Multivalue Method; 4.3 DAE Classes in the BzzMath Library; Chapter 5: DAE: Case Studies; 5.1 Introduction. 5.2 Van der Pol Oscillator5.3 Regression Problems with the DAE Model; 5.4 Sparse Structured Matrices; 5.5 Industrial Case: Distillation Unit; Notations for Table 5.1; Chapter 6: Boundary Value Problems; 6.1 Introduction; 6.2 Shooting Methods; 6.3 Special Boundary Value Problems; 6.4 More General BVP Methods; 6.5 Selection of the Approximating Function; 6.6 Which and How Many Support Points Have to Be Considered?; 6.7 Which Variables Should Be Selected as Adaptive Parameters?; 6.8 The BVP Solution Classes in the BzzMath Library; 6.9 Adaptive Mesh Selection; 6.10 Case studies.
• Publisher Details: Weinheim, Germany : Wiley-VCH
• Publication Date: 2014
• Extent: 1 online resource
• Subjects: 515.35; Differential equations; Differential algebra; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Differential algebra; Differential equations; Electronic books
• Languages: English
• ISBNs: 9783527667109; 3527667105; 9783527667130; 1322110654; 9781322110653; 9783527332755; 3527332758; 9783527667123; 3527667121; 9783527667116; 3527667113
• Related ISBNs: 352766713X
• Notes: Note: Includes bibliographical references and index.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.