Subject | File Name | Description | |

Introduction | Historical Perspective on Numerical Problem Solving | Introduction_08.pdf | |

Introduction to Polymath | |||

Topic 1 | Sequential Calculations with POLYMATH and Excel, Parametric Studies with Excel | Example-1.pdf | Presentation Handouts |

Example 1 | Molar Volume and Compressibility Factor from Redlich-Kwong Equation | Prob_4.1.pdf | Example problem in the book of Cutlip and Shacham |

Example1_A.pol | Polymath solution file | ||

Example1_B1.xls | Excel solution, compressibility factor | ||

Example1_B2.xls | Excel solution, molar volume | ||

Topic 2 | Solution of a Single Nonlinear (Implicit) Algebraic Equation with POLYMATH and MATLAB, Parametric Studies with MATLAB | Example-2.pdf | Presentation Handouts |

Example 2 | Calculation of the Flow Rate in A Pipeline | Prob_4.2.pdf | Example problem in the book (Polymath solution) |

Prob_5.2.pdf | Example problem in the book (MATLAB solution) | ||

Example2_A.pol | Polymath solution file | ||

Example2_B1.m | MATLAB solution, part I (Export from Polymath) | ||

Example2_B2.m | Complete solution by MATLAB | ||

Topic 3 | Multiple Linear Regression with Statistical Analysis | Example-3.pdf | Presentation Handouts |

Example 3 | Correlation of Heat of Hardening of Portland Cement versus Composition | Example_3.pol | Polymath data file |

RegrOverview.pdf | Equations, Statistics, Graphs and Examples | ||

Topic 4 | Polynomial and Nonlinear Regression with Statistical Analysis | Example-4.pdf | Presentation Handouts |

Example 4 | Correlating Temperature Dependent Physical Properties | Prob_4.4.pdf | Example problem in the book of Cutlip and Shacham |

CpEthane.pol | Polymath data file (Heat capacity) | ||

VpEthane.pol | Polymath data file (Vapor pressure) | ||

WagnerEq.pol | Polymath solution file (Wagner equation) | ||

Topic 5 | Solution of a System of ODEs with POLYMATH and Excel, Parametric Studies with Excel | Example-5.pdf | Presentation Handouts |

Example 5 | Adiabatic Operation of a Tubular Reactor for Cracking of Acetone | Prob_4.3.pdf | Example problem in the book of Cutlip and Shacham |

Example-5.pol | Polymath solution file | ||

Example-5.xls | Excel solution file | ||

Topic 6 | Solution of a System of Nonlinear Algebraic Equations (NLE) with POLYMATH and MATLAB, Parametric Studies with MATLAB | Example-6.pdf | Presentation Handouts |

Example 6 | Complex Chemical Equilibrium | Prob_6.6.pdf | Example problem in the book of Cutlip and Shacham |

Example6A.pol | Polymath solution file, division by unknowns | ||

Example6B.pol | Polymath solution file, no division by unknowns | ||

Example6A.m | MATLAB solution, part I (Export from Polymath) | ||

Example6B.m | Complete solution by MATLAB | ||

Topic 7 | Solution of Multiple-Model, Multiple-Algorithm Problems | Example-7.pdf | Presentation Handouts |

Example 7 | Semi-continuous Fed-Batch and Cyclic- Fed Batch Operation of a Bioreactor | Prob_14.13.pdf | Example problem in the book of Cutlip and Shacham |

BioReactInit.pol | Polymath solution file, initialization stage | ||

BioReactProc.pol | Polymath solution file, processing stage | ||

BioReactHarv.pol | Polymath solution file, processing stage | ||

FedBatchInit.m | MATLAB solution, part I (Export from Polymath) | ||

Cyclic_7.m | Complete solution by MATLAB, Cyclic operation | ||

Optimization_7.m | Complete solution by MATLAB, Optimization | ||

Topic 8 | Estimating Model Parameters for Dynamic Models | Example-8.pdf | Presentation Handouts |

Example 8 | Modeling Reproduction Rate of a Microorganism in a Fermenter | Prob_6.9.pdf | Example problem in the book of Cutlip and Shacham |

Example-8.pol | Polymath model | ||

Example_8.m | MATLAB solution | ||

P6_9.txt | Data file (used by Example_8.m) | ||

Topic 9 | Constrained Minimization with POLYMATH and Excel | Example-9.pdf | Presentation Handouts |

Example 9 | Complex Chemical Equilibrium by Gibbs Energy Minimization | Prob_4.5.pdf | Example problem in the book of Cutlip and Shacham |

Example-9A.pol | Polymath solution | ||

Example-9B.pol | Polymath solution including objective function value | ||

Example-9C.pol | Polymath model for exporting to Excel | ||

Example-9.xls | Excel solution by Solver | ||

Topic 10 | Solution of a System of ODEs with POLYMATH and MATLAB, Boundary Value Iterations with MATLAB | Example-10.pdf | Presentation Handouts |

Example 10 | Simultaneous Multicomponent Diffusion of Gases | Prob_10.8.pdf | Example problem in the book of Cutlip and Shacham |

Example-10.pol | Polymath solution | ||

MultDiffusA.m | MATLAB solution (exported from Polymath) | ||

MultDiffusB.m | MATLAB solution (boundary values iterations) | ||

Topic 11 | Method of Lines for Partial Differential Equations | Example-11.pdf | Presentation Handouts |

Example 11 | Diffusion and Reaction in a Falling Laminar Liquid Film | Prob_10.15.pdf | Example problem in the book of Cutlip and Shacham |

Example-11A.pol | Polymath solution (question a in Prob_10.15.pdf) | ||

Example-11AD.pol | Polymath solution (questions a-d in Prob_10.15.pdf) | ||

Example-11D.pol | Polymath solution (Data summary, for part d) | ||

Example-11E.pol | Polymath solution (question e in Prob_10.15.pdf) | ||

Topic 12 | Applications in Environmental Engineering | Example-12.pdf | Presentation Handouts |

Example 12 | Numerical Simulations with the Oxygen-sag model | EnvModSoft.pdf | Article in Environmental Modeling and Software |

Example-12.pol | Polymath model, data set 1 | ||

Example-12.pol | Polymath model, data set 2 | ||

Topic 13 | Applications in Process Safety | Example-13.pdf | Presentation Handouts |

Example 13 | HAZOP Analysis of a Process for Oxidation of 2-octanol in a semi-batch reactor | Example-13publ.pdf | Article in Journal of Loss Prevention in Process Ind. |

Example-13.pol | Polymath Solution | ||

Example-13.m | MATLAB Solution |