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Semi-discrete Galerkin formulations of transient wave equations, either with conforming or discontinuous Galerkin finite element discretizations, typically lead to large systems of ordinary differential equations. When explicit time…

数值分析 · 数学 2012-10-19 Marcus Grote , Teodora Mitkova

We extend our previous results of solving the inverse problem of quantum scattering theory (Marchenko theory, fixed-$l$ inversion). In particular, we apply an isosceles triangular-pulse function set for the Marchenko equation input kernel…

核理论 · 物理学 2025-03-18 N. A. Khokhlov

We show how theoretical, principally lattice, calculations of the scalar form factors in semileptonic pseudoscalar-to-pseudoscalar decays can be used to extract information about the corresponding elastic s-wave scattering channels. We find…

高能物理 - 唯象学 · 物理学 2008-11-26 Jonathan M Flynn , Juan Nieves

Tensor networks, particularly the tensor train (TT) format, have emerged as powerful tools for high-dimensional computations in physics and computer science. In solving coupled differential equations, such as those arising from stochastic…

计算物理 · 物理学 2025-09-08 Kayo Kinjo , Rihito Sakurai , Tatsuya Kishimoto , Jun Ohkubo

In this work, we mainly present the optimal convergence rates of the temporally second-order finite element scheme for solving the electrohydrodynamic equation. Suffering from the highly coupled nonlinearity, the convergence analysis of the…

数值分析 · 数学 2025-05-06 Shengfeng Wang , Zeyu Xia , Maojun Li

This paper presents a three-dimensional (3-D) and spatio-temporal dependent nonlinear wave model to explain the generation of pulsed Gaussian Second Harmonic Waves (SHW). We solve numerically three coupled equations describing the type II…

We present an exact decomposition of the complete wavefunction for a system of nuclei and electrons evolving in a time-dependent external potential. We derive formally exact equations for the nuclear and electronic wavefunctions that lead…

其他凝聚态物理 · 物理学 2015-05-19 Ali Abedi , Neepa T. Maitra , E. K. U. Gross

In the present study, we performed a 53-year wave hindcast (1970-2022) for a significant portion of the South China Sea (SCS) with an unstructured mesh that reaches considerably high resolution along the coasts of the Guangdong province…

大气与海洋物理 · 物理学 2025-07-03 Tiziano Bagnasco , Alessandro Stocchino , Michalis I. Vousdoukas , Jinghua Wang

Spontaneous symmetry breaking of interacting fermion systems constitutes a major challenge for many-body theory due to the proliferation of new independent scattering channels once absent or degenerate in the symmetric phase. One example is…

强关联电子 · 物理学 2025-05-30 Lorenzo Del Re

We consider the initial/boundary value problem for a diffusion equation involving multiple time-fractional derivatives on a bounded convex polyhedral domain. We analyze a space semidiscrete scheme based on the standard Galerkin finite…

数值分析 · 数学 2015-06-18 Bangti Jin , Raytcho Lazarov , Yikan Liu , Zhi Zhou

The MT2 or "s-transverse mass" statistic was developed to associate a parent mass scale to a missing transverse energy signature, given that escaping particles are generally expected in pairs, while collider experiments are sensitive to…

高能物理 - 唯象学 · 物理学 2014-09-02 Joel W. Walker

The precise measurement of the top quark mass, which is a fundamental SM parameter, constitutes one of the main goals of the LHC top physics program. One approach to measure this quantity uses the $\rho_\mathrm{s}$ distribution, an…

高能物理 - 唯象学 · 物理学 2021-12-22 Katharina Voß , Maria Vittoria Garzelli , Sven-Olaf Moch

We study a variant of the Strang splitting for the time integration of the semilinear wave equation under the finite-energy condition on the torus $\mathbb{T}^3$. In the case of a cubic nonlinearity, we show almost second-order convergence…

数值分析 · 数学 2026-05-19 Maximilian Ruff

The dijet double-differential cross section is measured as a function of the dijet invariant mass, using data taken during 2010 and during 2011 with the ATLAS experiment at the LHC, with a center-of-mass energy of 7 TeV. The measurements…

高能物理 - 实验 · 物理学 2013-08-05 Iftach Sadeh

Stochastic gradient descent (SGD) is a workhorse algorithm for solving large-scale optimization problems in data science and machine learning. Understanding the convergence of SGD is hence of fundamental importance. In this work we examine…

数值分析 · 数学 2024-12-11 Lehan Chen , Yuji Nakatsukasa

The super-sample tidal effect carries information on long-wavelength fluctuations that we cannot measure directly. It arises from the mode-coupling between short-wavelength and long-wavelength perturbations beyond a finite region of a…

宇宙学与河外天体物理 · 物理学 2019-11-20 Kazuyuki Akitsu , Naonori S. Sugiyama , Maresuke Shiraishi

In a two-part system the "collapse of the wavefunction" of one part can put the other part in a state which would be difficult or impossible to achieve otherwise, in particular one sensitive to small effects in the `collapse' interaction.…

高能物理 - 唯象学 · 物理学 2015-06-11 Leo Stodolsky

Many search strategies for the Standard Model Higgs boson apply specific selection criteria on hadronic jets observed in association with the Higgs boson decay products, either in the form of a jet veto, or by defining event samples…

高能物理 - 唯象学 · 物理学 2015-06-03 T. Gehrmann , M. Jaquier , E. W. N. Glover , A. Koukoutsakis

We study the scattering of J/$\Psi$-J/$\Psi$ mesons using Quadratic and Cornell potentials in our tetraquark ($c$$\bar{c}$$c$$\bar{c}$) system. The system's wavefunction in the restricted gluonic basis is written by utilizing adiabatic…

高能物理 - 唯象学 · 物理学 2020-10-16 M. Imran Jamil , S. M. Sohail Gilani , Ahmad Wasif , Abdul Sattar Khan , Ahmad Awan

The paper establishes the strong convergence rates of a spatio-temporal full discretization of the stochastic wave equation with nonlinear damping in dimension one and two. We discretize the SPDE by applying a spectral Galerkin method in…

数值分析 · 数学 2024-12-30 Meng Cai , David Cohen , Xiaojie Wang