Roman Košťál – Geometric numerical integration of Hamiltonian systems.
Date: 10/04/2019 12:20 - 10/04/2019 13:50
Place: Seminární místnost MÚUK
A vast array of natural phenomena can be mathematically described by Hamilton’s equations. As proven by H. Poincaré in 1899, the flow defined by these equations possesses the so-called symplectic invariant. This geometric invariant can also be preserved by a class of numerical schemes which then have many favorable properties. This short talk will present the main ideas and demonstrate them on a classical problem which stood at the dawn of modern science - to find the motion of two massive bodies interacting gravitationally.