Differential and Differential-Algebraic Systems for the Chemical Engineer

PrefaceDEFINITE INTEGRALSIntroductionCalculation of WeightsAccuracy of Numerical MethodsModification of the Integration InvervalMain Integration MethodsAlgorithms Derived from the Trapezoid MethodError ControlImproper IntegralsGauss-Kronrod AlgorithmsAdaptive MethodsParallel ComputationsClasses for Definite IntegralsCase Study: Optimal Adiabatic Bed Reactors for Sulfur Dioxide with Cold Shot CoolingORDINARY DIFFERENTIAL EQUATIONS SYSTEMSIntroductionAlgorithm AccuracyEquation and System ConditioningAlgorithm StabilityStiff SystemsMultistep and Multivalue Algorithms for Stiff SystemsControl of the Integration StepRunge-Kutta MethodsExplicit Runge-Kutta MethodsClasses Based on Runge-Kutta Algorithms in the BzzMath LibrarySemi-Implicit Runge-Kutta MethodsImplicit and Diagonally Implicit Runge-Kutta MethodsMultistep AlgorithmsMultivalue AlgorithmsMultivalue Algorithms for Nonstiff ProblemsMultivalue Algorithms for Stiff ProblemsMultivalue Classes in BzzMath LibraryExtrapolation MethodsSome CaveatsODE: CASE STUDIESIntroductionNonstiff ProblemsVolterra SystemSimulation of Catalytic EffectsOzone DecompositionRobertson's KineticBelousov's ReactionFluidized BedProblem with DiscontinuitiesConstrained ProblemHires ProblemVan der Pol OscillatorRegression Problems with an ODE ModelZero-Crossing ProblemOptimization-Crossing ProblemSparse SystemsUse of ODE Systems to Find Steady-State Conditions of Chemical ProcessesIndustrial Case: Spectrokinetic ModelingDIFFERENTIAL AND ALGEBRAIC EQUATION SYSTEMSIntroductionMultivalue MethodDAE Classes in the BzzMath LibraryDAE: CASE STUDIESIntroductionVan der Pol OscillatorRegression Problems with the DAE ModelSparse Structured MatricesIndustrial Case: Distillation UnitBOUNDARY VALUE PROBLEMSIntroductionShooting MethodsSpecial Boundary Value ProblemsMore General BVP MethodsSelection of the Approximitating FunctionWhich and How Many Support Points Have to Be Considered?Which Variables Should Be Selected as Adaptive Parameters?The BVP Solution

Guido Buzzi-Ferraris is full professor of process systems engineering at Politecnico die Milano, Italy, where he holds two courses: "Methods and Numerical Applications in Chemical Engineering" and "Regression Models and Statistics". He works on numerical analysis, statistics, differential systems, and optimization. He has authored books of international relevance on numerical analysis, such as "Scientific C++" edited by Addison-Wesley, and over than 200 papers on international magazines. He is the inventor and the developer of BzzMath library, which is currently adopted by academies, R&D groups, and industries. He is permanent member of the "EFCE Working Party - Computer Aided Process Engineering" since 1969 and editorial advisory board of "Computers & Chemical Engineering" since 1987.Flavio Manenti is assistant professor of chemical engineering at Politecnico di Milano, Italy. He obtained his academic degree and PhD at Politecnico di Milano, where he holds the courses "Chemical Process Dynamics and Control" and "Calculations for the Process Industry". He is author of more than 100 peer-reviewed papers and coordinated 30 industrial projects on dynamic simulation, control and optimization. He received international scientific awards, such as Memorial Burianec (Prague, CZ), Excellence in Simulation (Lake Forest, CA, USA), Alexander von Humboldt for senior scientist (Berlin, Germany) for his research activities.