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): [ link ]