SPECIALIZED SYMBOLIC COMPUTATION FOR STEADY STATE PROBLEMS


Abstract

An implementation of symbolic computation for steady state problems is proposed in the paper. A mathematical basis is derived in order to specify the quantities that the implementation will concern. An analysis is performed so that an optimal algorithm can be chosen in terms of the two chosen criteria – the operation time and memory needed to store symbolic expressions. The implementation scheme of the specialized class for symbolic computation is presented with the use of a general figure and by an example. The implementation is made in C++ but the presented idea can also be applied in other programming languages that share similar properties. A program using the proposed algorithm was studied for its efficiency in terms of calculation time and memory used by symbolic expressions. This is made by comparing the calculations made by the author’s program with those made by a script written in Mathematica.


Keywords

symbolic computation; steady state; C implementation

Mathematica, Wolfram, http://www.wolfram.com/mathematica/

Maple, Maplesoft, http://www.maplesoft.com/products/maple/

http://www.mathworks.com/products/matlab/

http://www.mathworks.com/products/symbolic/

Sowa M., Spałek D.: Analytical solution for certain nonlinear electromagnetic field problems, Computer Applications in Electrical Engineering Issue 69, (2012).

Sowa M., Spałek D.: Nonlinear boundary condition application: numericalsymbolic scheme of formulation, 35th International Conference of Electrotechnics and Circuit Theory IC-SPETO 2012. Gliwice-Ustroń (2012).

Sowa M., Spałek D.: Cylindrical structure with superconducting layer in a uniform electromagnetic field – analytical solution. Advanced Methods of the Theory of Electrical Engineering 2011, Klatovy, Czech Republic (2011).

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Published : 2013-02-14


Sowa, M. (2013). SPECIALIZED SYMBOLIC COMPUTATION FOR STEADY STATE PROBLEMS. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 3(1), 5-8. https://doi.org/10.35784/iapgos.1429

Marcin Sowa  marcin.sowa@polsl.pl
Silesian University of Technology, Faculty of Electrical Engineering, Gliwice  Poland