## Self Adaptive Computational Methods

I work on autonomous, self-adaptive, self-learning, computational methods

that can solve abstract mathematical problems and automatically apply the results

for the solution of computational mechanics problem with uncertain parameters.

Automatically generated test examples in 1 000 000 pages MS Word document (example from the year 2011).

[

Download ] 632 MB

Step by step calculation of derivatives of some class of mathematical expressions.

778 examples, 220 pages.

[

derivatives-step-by-step.pdf]

Direct calculation of derivatives of some class of mathematical expressions.

4666 examples, 308 pages.

[

derivatives.pdf]

Sample expression evaluation.

[

expression.pdf]

Step-by-step solution of algebraic equations (744 examples).

[

AlgebraicEquations]

**References**

[1] A. Pownuk, Solution of Algebraic Equations by Using Autonomous Computational Methods, Abstracts of the 25th AMS Fall Central Sectional Meeting, Virtual Conference, September 12-13, 2020.

[ pdf file - presentation, part 1 ] [ pdf file - presentation, part 2 ] [ link to Workshop ]

[2] A. Pownuk and J. Gonzalez, Solution of Algebraic Equations by Using Autonomous Computational Methods, Abstracts of the 25th Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, El Paso, Texas, November 2, 2019.

[ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

[3] A. Pownuk, I. Skalna, C. Melton, and H.K. Yi, Solution of Algebraic Equations by Using Self-Adaptive Computational Methods and Machine Learning, Abstracts of the 24rd Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexico, April 6, 2019.

[ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

[4] A. Pownuk, Applications of Autonomous Computational Methods for Finding Step-by-Step Solutions, Abstracts of the 23rd Joint UTEP/NMSU Workshop on Mathematics, Computer Science, and Computational Sciences, El Paso, Texas, November 3, 2018.

[ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop ]

[5] A. Pownuk, Applications of Self-Adaptive Computational Methods in Online Learning, Abstracts of the 22th Joint NMSU/UTEP Workshop on Mathematics, Computer Science, and Computational Sciences, Las Cruces, New Mexico, April 7, 2018.

[ pdf file - abstract ] [ pdf file - presentation ] [ link to Workshop

[6] A. Pownuk, Automated solution of equations with uncertain parameters, University of Nevada, Reno, Nevada, USA, 04/12/2012.

`https://www.unr.edu`
[

pdf file - abstract ]

[

pdf file - presentation ]

## Fuzzy calculator

Iterative web application (PHP, C++, Linux):
[

link ]

## Interval finite element method for the truss structures

Iterative web application (PHP, C++, Linux):
[

link ]

## Analytical Generation of FEM Equations

Iterative web application (PHP, C++, Linux):
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link ]