| Math Modeling: Interpolating Plots With Log Scales |
| Application developers frequently need to convert tables and plots into continuous functions so that users of the program are not required to manually look up values. TK’s list function capability is perfect for handling functions of one argument, y = f(x). Here’s an example from the book, Applied Chemical Process Design by Frank Aerstin and Gary Street. |
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| Math Modeling: Linear Regression Output |
| Data tables, charts, plots and statistics for a TK Solver linear regression output. |
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| Math Modeling: Multi Variable Optimization |
| The standard TK Solver training/demo model involving the equations for a cone is used to demonstrate this powerful new capability. |
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| Math Modeling: Numerical Integration |
| Numerical integration example using TK Solver. |
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| Math Modeling: Optimization |
| The following problem is taken from “Basic Programs for Production and Operation Management” by Pantumsinchai, Hassan, and Gupta (Prentice-Hall, 1983). Butane, Virgin Naphta and Catalytic Cracked Gasoline are to be blended into Super and Regular unleaded gasoline. The goal is to blend the components in such a way as to produce the two types of gasoline with a maximum profit. |
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| Math Modeling: Optimization with Lagrangian Multipliers |
| A user who was exploring TK Solver's capabilities in optimization sent this problem to us. The solution turns out to be a good illustration on how to choose guesses for 15 nonlinear equations and manage the Iterative Solver in difficult circumstances. |
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| Math Modeling: Performance Issues |
| This article presents several issues concerning minimizing solution times. |
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| Math Modeling: Product Selection Applications |
| Math models created for product selection or sizing frequently require the creation of families of performance functions. Given inputs defining the required performance, the model then repeatedly loops through the functions until the best product is found. |
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| Math Modeling: Propagation of Solution in TK Solver & Graphs |
| Users of TK Solver have been enjoying for years the generosity with which TK lets them approach mathematical-modeling tasks: TK doesn't force them to sequence the formulas in the order of computation. |
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| Math Modeling: Solving Differential Equations with Runge |
| This note gives the steps required to solve DEs using the Runge-Kutta (RK4) TK Library tool. More detailed explanations of the steps are available in the references and in the documentation stored with each model. |
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