|
|
|
|
|
|
|
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 |
|
|
|
|