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A new three dimensional model of the FEL is presented. A system of scaled, coupled Maxwell Lorentz equations are derived in the paraxial limit. A minimal number of limiting assumptions are made and the equations are not averaged in the…

光学 · 物理学 2008-12-11 C. K. W. Nam , P. Aitken , B. W. J. McNeil

An algorithm for fast calculation of the Coulombic forces and energies of point particles with free boundary conditions is proposed. Its calculation time scales as N log N for N particles. This novel method has lower crossover point with…

计算物理 · 物理学 2009-11-13 Alexey Neelov , S. Alireza Ghasemi , Stefan Goedecker

We present a set of effective outflow/open boundary conditions and an associated algorithm for simulating the dynamics of multiphase flows consisting of $N$ ($N\geqslant 2$) immiscible incompressible fluids in domains involving outflows or…

流体动力学 · 物理学 2018-05-09 Zhiguo Yang , Suchuan Dong

The long-range terms of the subleading chiral three-nucleon force [published in Phys.\,Rev.\,C77, 064004 (2008)] are specified to the case of three neutrons. From these $3n$-interactions an effective density-dependent neutron-neutron…

核理论 · 物理学 2020-12-21 N. Kaiser

In this paper we design an iterative domain decomposition method for free boundary problems with nonlinear flux jump condition. Our approach is related to damped Newton's methods. The proposed scheme requires, in each iteration, the…

数值分析 · 数学 2015-03-13 Juan Galvis , H. M. Versieux

A constituent quark model, which has recently been successfully applied to the study of heavy quarkonium properties such as its spectrum but also a diverse array of observables related with their electromagnetic, strong and weak decays and…

高能物理 - 唯象学 · 物理学 2020-03-04 Gang Yang , Jialun Ping , Pablo G. Ortega , Jorge Segovia

We present a closed-form solution for n-th term of a general three-term recurrence relation with arbitrary given n-dependent coefficients. The derivation and corresponding proof are based on two approaches, which we develop and describe in…

经典分析与常微分方程 · 数学 2013-11-20 Ivan Gonoskov

The aim of this paper is to introduce a FieldTNN-based machine learning method for solving the Maxwell eigenvalue problem in both 2D and 3D domains, including both tensor and non-tensor computational regions. First, we extend the existing…

数值分析 · 数学 2024-11-26 Jiantao Jiang , Yanli Wang , Yifan Wang , Hehu Xie

We prove that the problem of deciding whether a 2- or 3-dimensional simplicial complex embeds into $\mathbb{R}^3$ is NP-hard. Our construction also shows that deciding whether a 3-manifold with boundary tori admits an $\mathbb{S}^{3}$…

几何拓扑 · 数学 2018-08-23 Arnaud de Mesmay , Yo'av Rieck , Eric Sedgwick , Martin Tancer

We use inverted finite elements method for approximating solutions of second order elliptic equations with non-constant coefficients varying to infinity in the exterior of a 2D bounded obstacle, when a Neumann boundary condition is…

数值分析 · 数学 2025-01-24 R Belbaki , S K Bhowmik , T Z Boulmezaoud , N Kerdid , S Mziou

Non-negative Matrix Factorization (NMF) is an intensively used technique for obtaining parts-based, lower dimensional and non-negative representation. Researchers in biology, medicine, pharmacy and other fields often prefer NMF over other…

机器学习 · 计算机科学 2025-02-04 Matej Mihelčić , Pauli Miettinen

A Temporal Neural Network (TNN) architecture for implementing efficient online reinforcement learning is proposed and studied via simulation. The proposed T-learning system is composed of a frontend TNN that implements online unsupervised…

神经与进化计算 · 计算机科学 2022-04-13 James E. Smith

Available data on large-angle nucleon-deuteron elastic scattering $Nd\to dN$ below the pion threshold give a signal for three-body forces. There is a problem of separation of possible subtle aspects of these forces from off-shell effects in…

核理论 · 物理学 2009-11-07 Yu. N. Uzikov

We have developed efficient numerical algorithms for solving 3D steady-state Poisson-Nernst-Planck (PNP) equations with excess chemical potentials described by the classical density functional theory (cDFT). The coupled PNP equations are…

数值分析 · 数学 2016-08-24 Da Meng , Bin Zheng , Guang Lin , Maria L. Sushko

We discuss (2+1)-dimensional gapless surface theories of bulk (3+1)-dimensional topological phases, such as the BF theory at level $\mathrm{K}$, and its generalization. In particular, we put these theories on a flat (2+1) dimensional torus…

强关联电子 · 物理学 2016-07-27 Xiao Chen , Apoorv Tiwari , Shinsei Ryu

We introduce new values of the strength constants (i.e., $a$, $b$, $c$, and $d$ coefficients) of the Tucson-Melbourne (TM) 2$\pi$ exchange three nucleon potential. The new values come from contemporary dispersion relation analyses of meson…

核理论 · 物理学 2008-11-26 S. A. Coon , H. K. Han

Topological field theory in three dimensions provides a powerful tool to construct correlation functions and to describe boundary conditions in two-dimensional conformal field theories.

高能物理 - 理论 · 物理学 2007-05-23 J. Fuchs , I. Runkel , C. Schweigert

In this paper we consider the Nonnegative Matrix Factorization (NMF) problem: given an (elementwise) nonnegative matrix $V \in \R_+^{m\times n}$ find, for assigned $k$, nonnegative matrices $W\in\R_+^{m\times k}$ and $H\in\R_+^{k\times n}$…

最优化与控制 · 数学 2014-07-08 Lorenzo Finesso , Peter Spreij

We revisit Maxwell theory in 4d with a boundary, with particular attention to the global properties of the boundary conditions, both in the free (topological) and interacting (conformal) cases. We analyze the fate of Wilson-'t Hooft lines,…

高能物理 - 理论 · 物理学 2026-01-23 Adrien Arbalestrier , Riccardo Argurio , Giovanni Galati , Elise Paznokas

On the one hand any effective action of the QCD, $S[\pi,\,\rho,\,\omega,\ldots,N,\,\overline N,\,\Delta^{3/2},\ldots]$, would involve, at least in principle, a tower of hadronic fields of all spins; on the other hand the front form of the…

高能物理 - 唯象学 · 物理学 2007-05-23 D. V. Ahluwalia , Mikolaj Sawicki
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