Differential and Differential-Algebraic Systems for the Chemical Engineer: Solving Numerical Problems

摘要: Preface DEFINITE INTEGRALS Introduction Calculation of Weights Accuracy Numerical Methods Modification the Integration Inverval Main Algorithms Derived from Trapezoid Method Error Control Improper Integrals Gauss-Kronrod Adaptive Parallel Computations Classes for Definite Case Study: Optimal Adiabatic Bed Reactors Sulfur Dioxide with Cold Shot Cooling ORDINARY DIFFERENTIAL EQUATIONS SYSTEMS Algorithm Equation and System Conditioning Stability Stiff Systems Multistep Multivalue Step Runge-Kutta Explicit Based on in BzzMath Library Semi-Implicit Implicit Diagonally Nonstiff Problems Extrapolation Some Caveats ODE: CASE STUDIES Volterra Simulation Catalytic Effects Ozone Decomposition Robertson's Kinetic Belousov's Reaction Fluidized Problem Discontinuities Constrained Hires Van der Pol Oscillator Regression an ODE Model Zero-Crossing Optimization-Crossing Sparse Use to Find Steady-State Conditions Chemical Processes Industrial Case: Spectrokinetic Modeling AND ALGEBRAIC EQUATION DAE DAE: Structured Matrices Distillation Unit BOUNDARY VALUE PROBLEMS Shooting Special Boundary Value More General BVP Selection Approximitating Function Which How Many Support Points Have Be Considered? Variables Should Selected as Parameters? The Solution Mesh Studies APPENDIX Linking Matlab Copyrights Index