SS5 - Computer algebra modeling in physics, classical and celestial mechanics, and engineering

link to the session's webpage



The progressive impact of Computer Algebra Systems (CAS) in science-based disciplines is vividly noticeable. It is rare to encounter a scientific investigation immune from its beneficial influences. Within 30 years, the CAS has become an efficient tool for analyzing engineering and mathematical challenges. Symbolic capabilities of the CAS provide a forum to perform amazing calculations that practically are impossible otherwise. For instance, dynamic simulations of engineering issues are addressed, and mathematical conjectures are formulated and verified. Many problems in physics and mechanics are tackled by applying the perturbation theory, which implies that quite cumbersome symbolic calculations can be solved efficiently with the CAS.



The purpose of organizing this session is to bring together enthusiastic users of Computer Algebra Systems in science and engineering. Expected topics of presentations include (but are not limited to):



Session organizers

Alexander Prokopenya (Institute of Information Technology, Warsaw University of Life Sciences – SGGW, Poland)
Haiduke Sarafian (Professor Emeritus of Physics and John T. and Paige S. Smith Professor of Science Emeritus, The Pennsylvania State University, USA)


Talks

Alexander Prokopenya - Secular perturbations in the four-body system with anisotropically varying masses
Saltanat Bizhanova - Study of the secular perturbations in the three-planetary four-body problem with isotropically varying masses
Alexander Prokopenya - Symbolic computations in studying the stability of nonlinear oscillations of the mathematical pendulum
Haiduke Sarafian - Oscillation analysis of a bifilar pendulum with Mathematica
Haiduke Sarafian - Kinematics of a point-like charge particle in nontrivial nonhomogeneous electric fields of charged washers
Ryszard Kozera - Convergence order in trajectory estimation with piecewise Bezier cubic curves based on reduced data
Arkadiusz Orłowski - Possible orderings of mode, median, and mean in unimodal distributions
Arkadiusz Orłowski - Classification of universal decision elements using computer algebra system
Setsuo Takato - An attempt to create teaching materials for the Brachistochrone curve using Algebrite and KeTLTS