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We determined the effects of the first nonlinear corrections to the gluon distribution using the solution of the QCD nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (NLDGLAP) evolution equation at small x. By using a Laplace-transform…

High Energy Physics - Phenomenology · Physics 2014-02-05 G. R. Boroun , S. Zarrin

We use an updated version of {\it SimProp}, a Monte Carlo simulation scheme for the propagation of ultra-high energy cosmic rays, to compute cosmogenic neutrino fluxes expected on Earth in various scenarios. These fluxes are compared with…

High Energy Astrophysical Phenomena · Physics 2015-10-07 R. Aloisio , D. Boncioli , A di Matteo , A. F. Grillo , S. Petrera , F. Salamida

We propose an efficient semi-Lagrangian method for solving the two-dimensional incompressible Euler equations with high precision on a coarse grid. The new approach evolves the flow map using the gradient-augmented level set method (GALSM).…

Numerical Analysis · Mathematics 2023-02-21 Xi-Yuan Yin , Olivier Mercier , Badal Yadav , Kai Schneider , Jean-Christophe Nave

A spacetime discontinuous Petrov-Galerkin (DPG) method for the linear wave equation is presented. This method is based on a weak formulation that uses a broken graph space. The wellposedness of this formulation is established using a…

Numerical Analysis · Mathematics 2018-10-09 Jay Gopalakrishnan , Paulina Sepulveda

The cosmic-ray propagation code GALPROP has been generalized to include fragmentation networks of arbitrary complexity. The code can now provide an alternative to leaky-box calculations for full isotopic abundance calculations and has the…

Astrophysics · Physics 2007-05-23 A. W. Strong , I. V. Moskalenko

In the previous papers we derived cosmological equations for models with Gurzadyan-Xue dark energy, have performed their qualitative analysis and, particularly, have revealed a remarkable hidden invariance in the models with respect to the…

Astrophysics · Physics 2007-05-23 G. V. Vereshchagin , G. Yegorian

In this paper, we intend to study the geometric meaning of the discrete logarithm problem defined over an Elliptic Curve. The key idea is to reduce the Elliptic Curve Discrete Logarithm Problem (EC-DLP) into a system of equations. These…

Cryptography and Security · Computer Science 2019-09-20 Daniele Di Tullio , Ankan Pal

In the first part we analyze space $\mathcal G^*(\mathbb R^{n}_+)$ and its dual through Laguerre expansions when these spaces correspond to a general sequence $\{M_p\}_{p\in\mathbb N_0}$, where $^*$ is a common notation for the Beurling and…

Functional Analysis · Mathematics 2024-08-06 Stevan Pilipović , Đorđe Vučković

This article proposes an efficient numerical method for solving nonlinear partial differential equations (PDEs) based on sparse Gaussian processes (SGPs). Gaussian processes (GPs) have been extensively studied for solving PDEs by…

Numerical Analysis · Mathematics 2023-08-09 Rui Meng , Xianjin Yang

An efficient method, preconditioned conjugate gradient method with a filtering function (PCG-F), is proposed for solving iteratively the Dirac equation in 3D lattice space for nuclear systems. The filtering function is adopted to avoid the…

Nuclear Theory · Physics 2020-10-14 B. Li , Z. X. Ren , P. W. Zhao

We use a kinetic-equation approach to describe the propagation of ultra high energy cosmic ray protons and nuclei and calculate the expected spectra and mass composition at the Earth for different assumptions on the source injection spectra…

High Energy Astrophysical Phenomena · Physics 2015-06-22 R. Aloisio , V. Berezinsky , P. Blasi

We present CIGALE (Burgarella et al. 2005; Noll et al. 2009), a software developed at the Laboratoire d'Astrophysique de Marseille to fit galaxy spectral energy distributions from the rest-frame far-UV to far-IR wavelength range, and to…

Cosmology and Nongalactic Astrophysics · Physics 2011-11-07 Yannick Roehlly , Denis Burgarella , Véronique Buat , Élodie Giovannoli , Stefan Noll , Paolo Serra

We describe a high-order ADER-DG solver for the compressible Euler equations within the ExaHyPE framework. The implementation combines a high-order ADER-DG polynomial representation, a local space-time DG predictor, adaptive mesh…

Fluid Dynamics · Physics 2026-05-19 Andrés Mauricio Suárez Mantilla , Leonardo Castañeda Colorado

We present an adaptive spectral method for solving the Landau/Fokker-Planck equation for electron-ion systems. The heart of the algorithm is an expansion in Laguerre polynomials, which has several advantages, including automatic…

Deconvolution of large survey images with millions of galaxies requires to develop a new generation of methods which can take into account a space variant Point Spread Function (PSF) and have to be at the same time accurate and fast. We…

Instrumentation and Methods for Astrophysics · Physics 2020-09-16 Florent Sureau , Alexis Lechat , Jean-Luc Starck

Experiments using intermediate- to high-energy radioactive nuclear beams present numerous findings. Extracting important properties of physical observables relies on a firm theoretical analysis. Though Glauber theory is believed to work…

Nuclear Theory · Physics 2026-04-23 W. Horiuchi , Y. Suzuki , R. B. Wiringa

We describe the GPU implementation of shifted or multimass iterative solvers for sparse linear systems of the sort encountered in lattice gauge theory. We provide a generic tool that can be used by those without GPU programming experience…

High Energy Physics - Lattice · Physics 2011-02-16 Richard Galvez , Greg van Anders

This paper presents an operational framework for the computation of the discretized solutions for relativistic equations of Klein-Gordon and Dirac type. The proposed method relies on the construction of an evolution-type operador from the…

Mathematical Physics · Physics 2019-08-07 Nelson Faustino

A considerable amount of attention has been given to discontinuous Galerkin methods for hyperbolic problems in numerical relativity, showing potential advantages of the methods in dealing with hydrodynamical shocks and other…

Computational Physics · Physics 2019-10-30 Trevor Vincent , Harald P. Pfeiffer , Nils L. Fischer

In this paper we present energy-conserving, mixed discontinuous Galerkin (DG) and continuous Galerkin (CG) schemes for the solution of a broad class of physical systems described by Hamiltonian evolution equations. These systems often arise…

Computational Physics · Physics 2019-08-07 A. Hakim , G. Hammett , E. Shi , N. Mandell