Dean's Mathematics Page |
Last Updated August 12, 2023 |
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From Continuous to Discrete This mathematics book relates integer (diphontane) equations to algebraic equations, difference equations to differential equations, and analog elecronics to digital electronics. Purchase paperback book here | |
New General Analytic and Numerical Methods in Constrained Optimization with Applications to Optimal Consumption Utilitas Mathematica 52 ( 1997 ), pp 123 - 128 This concerns mathematical methods involving the calculus of variations on how to expend a resource over time. |
PDF Document |
Supplement to Above Paper This is a supplement to the above paper on optimal consumption. It also gives a worked example done with the simulation program below. |
PDF Document |
Optimal Spending Model Concerns how to spend a fixed amount of resources for optimal utility over a fixed amount of time and known interest rate. Based on the above paper. |
Excel Worksheet |
Application of Pseudo-Wavelets to Optimal Control ( Thesis ) Wavelets are powerful approximating functions. Here they are applied to the MEI ( Measured Equation of Invariance ) method and some various optimal control problems for improved computational speed and quicker convergence to a solution. |
PDF Document |
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