14 citations · 14 across the 4 of their papers we have counts for
4 papers
An explicit integrator uniform in the true anomaly and exactly preserving all integrals of motion in the three-dimensional Kepler problem
Jan L. Cieśliński, Maciej Jurgielewicz
We develop a numerical scheme for the Kepler problem that preserves exactly all first integrals: angular momentum, total energy, and the Laplace-Runge-Lenz vector. This property en…
Discrete integrable principal chiral field model and its involutive reduction
Jan L. Cieśliński, Alexander V. Mikhailov, Maciej Nieszporski +1
We discuss an integrable discretization of the principal chiral field models equations and its involutive reduction. We present a Darboux transformation and general construction of…
On geometric interpretation of Euler's substitutions
Jan L. Cieśliński, Maciej Jurgielewicz
We consider a classial case of irrational integrals containing a square root of a quadratic polynomial. It is well known that they can be expressed in terms of elementary functions…
Determination of the Riemann modulus and sheet resistance of a sample with a hole by the van der Pauw method
Krzysztof Szymański, Kamil Łapiński, Jan L. Cieśliński
The van der Pauw method for two-dimensional samples of arbitrary shape with an isolated hole is considered. Correlations between extreme values of the resistances allow one to dete…