Results 51 to 60 of about 287 (170)

Which singular tangent bundles are isomorphic?

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Logarithmic and b$ b$‐tangent bundles provide a versatile framework for addressing singularities in geometry. Introduced by Deligne and Melrose, these modified bundles resolve singularities by reframing singular vector fields as well‐behaved sections of these singular bundles.
Eva Miranda, Pablo Nicolás
wiley   +1 more source

Hybrid symplectic integrators for planetary dynamics [PDF]

Monthly Notices of the Royal Astronomical Society, 2019
Abstract Hybrid symplectic integrators such as MERCURY are widely used to simulate complex dynamical phenomena in planetary dynamics that could otherwise not be investigated. A hybrid integrator achieves high accuracy during close encounters by using a high-order integration scheme for the duration of the encounter while otherwise using ...
Ari Silburt, Réjean Leblanc, Michelle Lau, Emma Holmes, Emily Eckels, Garett Brown, Daniel Tamayo, David M Hernandez, Hanno Rein   +8 more
openaire   +2 more sources

SPH Simulates Steep‐Stepped Spillway Flows Assessing Convergence, DDT Effects, and Pressure Accuracy

Chemical Engineering &Technology, Volume 49, Issue 4, April 2026.
Numerical investigation of high‐gradient stepped spillway flows using the SPH method, highlighting the simulation setup and skimming flow regime. Convergence analysis compares results with and without the Density Diffusion Term (DDT), showing its effectiveness in reducing spurious oscillations.
Eduardo Masaji Endo, Thiago Morais de Castro, Flávia Aparecida Reitz Cardoso, Eudes José Arantes   +3 more
wiley   +1 more source

Effects of Two Quantum Correction Parameters on Chaotic Dynamics of Particles near Renormalized Group Improved Schwarzschild Black Holes

Universe
A renormalized group improved Schwarzschild black hole spacetime contains two quantum correction parameters. One parameter γ represents the identification of cutoff of the distance scale, and another parameter Ω stems from nonperturbative renormalization
Junjie Lu, Xin Wu
doaj   +1 more source

Tessellation Groups, Harmonic Analysis on Non‐Compact Symmetric Spaces and the Heat Kernel in View of Cartan Convolutional Neural networks

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré, Federico Milanesio, Marcelo Oyarzo, Matteo Santoro, Mario Trigiante   +4 more
wiley   +1 more source

New Insight of Time-transformed Symplectic Integrator. I. Hybrid Methods for Hierarchical Triples

The Astrophysical Journal
Accurate N -body simulations of multiple systems such as binaries and triples are essential for understanding the formation and evolution of interacting binaries and binary mergers, including gravitational wave sources, blue stragglers, and X-ray ...
Long Wang
doaj   +1 more source

Explicit symplectic integrator for particle tracking in s-dependent static electric and magnetic fields with curved reference trajectory

Physical Review Accelerators and Beams, 2018
We describe a method for symplectic tracking of charged particles through static electric and magnetic fields. The method can be applied to cases where the fields have a dependence on the longitudinal as well as transverse position and where the ...
A. Wolski, A. T. Herrod
doaj   +1 more source

Existence and Stability for Traveling Waves of Fourth‐Order Semilinear Wave and Schrödinger Equations

Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We investigate the existence and spectral stability of traveling wave solutions for a class of fourth‐order semilinear wave equations, commonly referred to as beam equations. Using variational methods based on a constrained maximization problem, we establish the existence of smooth, exponentially decaying traveling wave profiles for wavespeeds
Vishnu Iyer, Ross Parker, Atanas G. Stefanov   +2 more
wiley   +1 more source

Use of transfer maps for modeling beam dynamics in a nonscaling fixed-field alternating-gradient accelerator

Physical Review Special Topics. Accelerators and Beams, 2012
Transfer maps for magnetic components are fundamental to studies of beam dynamics in accelerators. In the work presented here, transfer maps are computed in Taylor form for a particle moving through any specified magnetostatic field by applying an ...
Y. Giboudot, A. Wolski
doaj   +1 more source

Function spaces for decoupling

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract We introduce new function spaces LW,sq,p(Rn)$\mathcal {L}_{W,s}^{q,p}(\mathbb {R}^{n})$ that yield a natural reformulation of the ℓqLp$\ell ^{q}L^{p}$ decoupling inequalities for the sphere and the light cone. These spaces are invariant under the Euclidean half‐wave propagators, but not under all Fourier integral operators unless p=q$p=q$, in ...
Andrew Hassell, Pierre Portal, Jan Rozendaal, Po‐Lam Yung   +3 more
wiley   +1 more source