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This report consists of three parts. In Chapter 1 we present a brief description of the LEPTOP approach for the calculation of the radiative corrections in the Minimal Standard Model. The approach is based on the one-loop approximation with…

High Energy Physics - Phenomenology · Physics 2009-09-25 V. Novikov , L. Okun , A. Rozanov , M. Vysotsky

This paper considers a convex composite optimization problem with affine constraints, which includes problems that take the form of minimizing a smooth convex objective function over the intersection of (simple) convex sets, or regularized…

Optimization and Control · Mathematics 2023-02-23 Dan Garber , Tsur Livney , Shoham Sabach

All-electron calculations play an important role in density functional theory, in which improving computational efficiency is one of the most needed and challenging tasks. In the model formulations, both nonlinear eigenvalue problem and…

Computational Physics · Physics 2020-07-29 Bin Gao , Guanghui Hu , Yang Kuang , Xin Liu

Precision experiments, such as those performed at LEP and SLC, offer us an excellent opportunity to constrain extended gauge model parameters. To this end, it is often assumed, that in order to obtain more reliable estimates, one should…

High Energy Physics - Phenomenology · Physics 2011-09-13 M. Czakon , J. Gluza , F. Jegerlehner , M. Zralek

Ultra-wideband (UWB) is the state-of-the-art and most popular technology for wireless localization. Nevertheless, precise ranging and localization in non-line-of-sight (NLoS) conditions is still an open research topic. Indeed, multipath…

Machine Learning · Computer Science 2021-05-06 Simone Angarano , Vittorio Mazzia , Francesco Salvetti , Giovanni Fantin , Marcello Chiaberge

If the Electroweak Symmetry Breaking Sector turns out to be strongly interacting, the actively investigated effective theory for longitudinal gauge bosons plus Higgs can be efficiently extended to cover the regime of saturation of unitarity…

High Energy Physics - Phenomenology · Physics 2015-05-06 Rafael L. Delgado , Antonio Dobado , Felipe J. Llanes-Estrada

The quantum phase estimation algorithm stands as the primary method for determining the ground state energy of a molecular electronic Hamiltonian on a quantum computer. In this context, the ability to initialize a classically tractable…

This paper is devoted to the question of constructing a higher order Faber spline basis for the sampling discretization of functions with higher regularity than Lipschitz. The basis constructed in this paper has similar properties as the…

Functional Analysis · Mathematics 2020-07-08 Nadiia Derevianko , Tino Ullrich

Mathematical ambiguities in partial-wave analysis present a significant challenge to the extraction of resonance properties in hadronic reactions. Recent work has shown that while linear photon polarization can resolve continuous…

High Energy Physics - Phenomenology · Physics 2025-09-24 Derek I. Glazier , Vincent Mathieu

Optimization problems with $L^1$-control cost functional subject to an elliptic partial differential equation (PDE) are considered. However, different from the finite dimensional $l^1$-regularization optimization, the resulting discretized…

Optimization and Control · Mathematics 2017-09-28 Xiaoliang Song , Bo Chen , Bo Yu

In this paper, a novel pre- and post-processing algorithm is presented that can double the convergence rate of finite element approximations for linear wave problems. In particular, it is shown that a $q$-step pre- and post-processing…

Numerical Analysis · Mathematics 2020-02-05 Sjoerd Geevers

Large antenna arrays can steer narrow beams towards a target area, and thus improve the communications capacity of wireless channels and the fidelity of radio sensing. Hardware that is capable of continuously-variable phase shifts is…

Information Theory · Computer Science 2024-01-04 Minsung Kim , Annalise Stockley , Keith Briggs , Kyle Jamieson

The production of W+ W- b bbar from e+ e- collisions at energies close to the t tbar threshold is dominated by the resonant process with a nearly on-shell t tbar intermediate state. The W b pairs in the final state can also be reached…

High Energy Physics - Phenomenology · Physics 2022-09-21 M. Beneke , B. Jantzen , P. Ruiz-Femenia

The logarithmic nonlinearity has been used in many partial differential equations (PDEs) for modeling problems in various applications.Due to the singularity of the logarithmic function, it introducestremendous difficulties in establishing…

Numerical Analysis · Mathematics 2021-09-07 Weizhu Bao , Remi Carles , Chunmei Su , Qinglin Tang

Orbital-free density functional theory (OF-DFT) for real-space systems has historically depended on Lagrange optimization techniques, primarily due to the inability of previously proposed electron density approaches to ensure the…

Chemical Physics · Physics 2024-11-08 Alexandre de Camargo , Ricky T. Q. Chen , Rodrigo A. Vargas-Hernández

In this paper the authors study a non-linear elliptic-parabolic system, which is motivated by mathematical models for lithium-ion batteries. One state satisfies a parabolic reaction diffusion equation and the other one an elliptic equation.…

Numerical Analysis · Mathematics 2023-08-02 Behzad Azmi , Andrea Petrocchi , Stefan Volkwein

Federated Learning (FL) allows devices to train a global machine learning model without sharing data. In the context of wireless networks, the inherently unreliable nature of the transmission channel introduces delays and errors that…

Networking and Internet Architecture · Computer Science 2024-08-05 Renan R. de Oliveira , Kleber V. Cardoso , Antonio Oliveira-Jr

We present and analyze a multiscale method for wave propagation problems, posed on spatial networks. By introducing a coarse scale, using a finite element space interpolated onto the network, we construct a discrete multiscale space using…

Numerical Analysis · Mathematics 2023-04-12 Morgan Görtz , Per Ljung , Axel Målqvist

A pinching-antenna system (PASS)-enhanced mobile edge computing (MEC) architecture is investigated to improve the task offloading efficiency and latency performance in dynamic wireless environments. By leveraging dielectric waveguides and…

Signal Processing · Electrical Eng. & Systems 2025-10-28 Zhaoming Hu , Ruikang Zhong , Xidong Mu , Dengao Li , Yuanwei Liu

We provide a priori error estimates for the spectral and pseudospectral Fourier (also called planewave) discretizations of the periodic Thomas-Fermi-von Weizs\"{a}cker (TFW) model and for the spectral discretization of the Kohn-Sham model,…

Numerical Analysis · Mathematics 2010-03-13 Eric Cancès , Rachida Chakir , Yvon Maday
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