Results 61 to 70 of about 17,957 (257)
On computational Poisson geometry II: Numerical methods
Journal of Computational Dynamics, 2021 We present twelve numerical methods for evaluation of objects and concepts from Poisson geometry. We describe how each method works with examples, and explain how it is executed in code. These include methods that evaluate Hamiltonian and modular vector fields, compute the image under the coboundary and trace operators, the Lie bracket of differential ...
M. A. Evangelista-Alvarado +2 more
openaire +4 more sources
A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy
Advanced Engineering Materials, EarlyView.A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle +5 more
wiley +1 more source
A gravitational action with stringy Q and R fluxes via deformed differential graded Poisson algebras
Journal of High Energy Physics, 2021 We study a deformation of a 2-graded Poisson algebra where the functions of the phase space variables are complemented by linear functions of parity odd velocities.
Eugenia Boffo, Peter Schupp
doaj +1 more source
Design and Analysis of Compression–Torsion Coupling Metamaterials Using the Golden Section Method
Advanced Engineering Materials, EarlyView.A novel compression–torsion metamaterial is engineered using inclined rods and symmetry breaking. To optimize its torsional performance, the golden section method is employed. The mechanical response of the metamaterial is validated through both numerical analysis and experimental validation.
Amirhossein Hassani, Sara Bagherifard
wiley +1 more source
Existence of Multiple Nontrivial Solutions for a Strongly Indefinite Schrödinger-Poisson System
Abstract and Applied Analysis, 2014 We consider a Schrödinger-Poisson system in ℝ3 with a strongly indefinite potential and a general nonlinearity. Its variational functional does not satisfy the global linking geometry.
Shaowei Chen, Liqin Xiao
doaj +1 more source
Entropy, 2020 In this paper, we describe and exploit a geometric framework for Gibbs probability densities and the associated concepts in statistical mechanics, which unifies several earlier works on the subject, including Souriau’s symplectic model of statistical ...
Frédéric Barbaresco +1 more
doaj +1 more source
The BV action of 3D twisted R-Poisson sigma models
Journal of High Energy Physics, 2022 We determine the solution to the classical master equation for a 3D topological field theory with Wess-Zumino term and an underlying geometrical structure of a twisted R-Poisson manifold on its target space.
Athanasios Chatzistavrakidis +2 more
doaj +1 more source
Poisson geometry of directed networks in a disk [PDF]
Selecta Mathematica, 2009 We investigate Poisson properties of Postnikov's map from the space of edge weights of a planar directed network into the Grassmannian. We show that this map is Poisson if the space of edge weights is equipped with a representative of a 6-parameter family of universal quadratic Poisson brackets and the Grasmannian is viewed as a Poisson homogeneous ...
Gekhtman, Michael +2 more
openaire +2 more sources
On computational Poisson geometry I: Symbolic foundations
Journal of Geometric Mechanics, 2021 We present a computational toolkit for (local) Poisson-Nijenhuis calculus on manifolds. Our python module $\textsf{PoissonGeometry}$ implements our algorithms, and accompanies this paper. We include two examples of how our methods can be used, one for gauge transformations of Poisson bivectors in dimension 3, and a second one that determines parametric
M. A. Evangelista-Alvarado +2 more
openaire +3 more sources
Advanced Engineering Materials, EarlyView.Functionally graded metal–ceramic femoral stems are engineered through continuous UMAT‐based stiffness tailoring, eliminating discrete material interfaces while enhancing biomechanical compatibility. Low‐index power‐law gradation optimizes load transfer, reduces stress shielding, and controls implant–bone micromotion, highlighting a materials‐design ...
Rihem Nouira, Sameh Elleuch, Hanen Jrad
wiley +1 more source