Results 61 to 70 of about 287 (170)

A Miyaoka–Yau inequality for hyperplane arrangements in CPn$\mathbb {CP}^n$

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Let H$\mathcal {H}$ be a hyperplane arrangement in CPn$\mathbb {CP}^n$. We define a quadratic form Q$Q$ on RH$\mathbb {R}^{\mathcal {H}}$ that is entirely determined by the intersection poset of H$\mathcal {H}$. Using the Bogomolov–Gieseker inequality for parabolic bundles, we show that if a∈RH$\mathbf {a}\in \mathbb {R}^{\mathcal {H}}$ is ...
Martin de Borbon, Dmitri Panov
wiley   +1 more source

Unitarily invariant valuations on convex functions

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract Continuous, dually epi‐translation invariant valuations on the space of finite‐valued convex functions on Cn$\mathbb {C}^n$ that are invariant under the unitary group are investigated. It is shown that elements belonging to the dense subspace of smooth valuations admit a unique integral representation in terms of two families of Monge–Ampère ...
Jonas Knoerr
wiley   +1 more source

Stable Symplectic Integrators for Power Systems [PDF]

, 2002
The paper illustrates the application of symplectic integrators obtained by composition for solving power system consisting of several machines. The multi-machine angular swings during and following fault conditions and clearing are investigated. Numerical results obtained using symplectic integrators were found to be comparable to those obtained using
Daniel Okunbor, Emmanuel Akinjide
openaire   +1 more source

Chaos of Charged Particles in Quadrupole Magnetic Fields Under Schwarzschild Backgrounds

Universe
A four-vector potential of an external test electromagnetic field in a Schwarzschild background is described in terms of a combination of dipole and quadrupole magnetic fields. This combination is an interior solution of the source-free Maxwell equations.
Qihan Zhang, Xin Wu
doaj   +1 more source

Enhancing Stellar Orbit Accuracy through the Radius Power Law Time Step Function Model

JIF (Jurnal Ilmu Fisika)
Accurately determining stellar orbits within astrophysical systems is paramount for understanding celestial mechanics. This study proposes a novel approach to enhance orbit accuracy by incorporating a radius power law time step function model.
Hasanuddin Hasanuddin, Agustinus Eusebius, Yudha Arman   +2 more
doaj   +1 more source

Symplectic integrators revisited

Brazilian Journal of Physics, 2002
This paper is a survey on Symplectic Integrator Algorithms (SIA): numerical integrators designed for Hamiltonian systems. As it is well known, n degrees of freedom Hamiltonian systems have an important property: their ows preserve not only the total volume of the phase space, which is only one of the Poincare invariants, but also the volume of sub ...
openaire   +3 more sources

On the statistical convergence of N-body simulations of the Solar System

The Open Journal of Astrophysics
Most direct N-body integrations of planetary systems use a symplectic integrator with a fixed timestep. A large timestep is desirable in order to speed up the numerical simulations.
Hanno Rein, Garett Brown, Mei Kanda
doaj   +1 more source

Molecular Dynamics of Artificially Pair-Decoupled Systems: An Accurate Tool for Investigating the Importance of Intramolecular Couplings. [PDF]

J Chem Theory Comput, 2023
Gandolfi M, Ceotto M.
europepmc   +1 more source

A minimal-variable symplectic integrator on spheres

Mathematics of Computation, 2016
We construct a symplectic, globally defined, minimal-variable, equivariant integrator on products of 2-spheres. Examples of corresponding Hamiltonian systems, called spin systems, include the reduced free rigid body, the motion of point vortices on a sphere, and the classical Heisenberg spin chain, a spatial discretisation of the ...
Robert I. McLachlan, Klas Modin, Olivier Verdier   +2 more
openaire   +2 more sources

Solar System material reaching neighboring star systems

Astronomy & Astrophysics
Context. In our Solar System, few macroscopic objects have been observed to be moving in hyperbolic orbits and, thus, they must have originated from interstellar space. Some meteoroids are also suspected to have an interstellar origin.
Neslušan L., Janák F., Nagy R., Hajduková M.   +3 more
doaj   +1 more source