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1. Tensor network representation of non-abelian gauge theory coupled to reduced staggered fermions

   We show how to construct a tensor network representation of the path integral for reduced staggered fermions coupled to a non-abelian gauge field in...

   Muhammad Asaduzzaman, Simon Catterall, ... Goksu Can Toga in Journal of High Energy Physics

   Article Open access 16 May 2024

2. Cutkosky representation and direct integration

   We present a new method of direct integration of Feynman integrals based on the Cutkosky representation of the integrals. In this representation we...

   C. Vergu in Journal of High Energy Physics

   Article Open access 28 May 2024

3. Comprehensive Study on Shape Representation Methods for Shape-Based Object Recognition

   This study presents a thorough analysis of shape representation techniques. Furthermore, a taxonomy of strategies for form representation and...

   Zhenghong Jiang, Chunrong Zhou in Journal of Optics

   Article Open access 22 August 2023
   

4. The Källén-Lehmann representation in de Sitter spacetime

   We study two-point functions of symmetric traceless local operators in the bulk of de Sitter spacetime. We derive the Källén-Lehmann spectral...

   Manuel Loparco, João Penedones, ... Zimo Sun in Journal of High Energy Physics

   Article Open access 22 December 2023

5. Numerical Simulation

   This chapter starts with the necessary theoretical background on Finite Element Modeling, such as introducing different types of the commonly used...

   Pouria Hajikarimi, Alireza Sadat Hosseini in Constructional Viscoelastic Composite Materials

   Chapter 2023
   

6. Numerical Magnetohydrodynamics in Astrophysics

   Newtonian magnetohydrodynamics (MHD) is a very special limit of Maxwell’s equations and plasma dynamics. In the last 10 years, powerful numerical...

   Max Camenzind in Cosmic Magnetic Fields

   Chapter
   

7. Fluctuations and failure in granular materials: theory and numerical simulations

   We consider a dense aggregate of elastic, frictional particles isotropically compressed and next uniaxial strained at constant pressure. We show how...

   Luigi La Ragione, Giuseppina Recchia, ... Antoine Wautier in Granular Matter

   Article Open access 04 June 2024
   

8. Tensor network representation and entanglement spreading in many-body localized systems: a novel approach

   A novel method has been devised to compute the local integrals of motion (LIOMs) for a one-dimensional many-body localized system. In this approach,...

   Z. Gholami, Z. Noorinejad, ... E. Ghanbari-Adivi in Quantum Information Processing

   Article 07 May 2024
   

9. Numerical Methods for Fractional PDEs

   Numerical approaches for the computation of fractional derivatives on the whole real line (also called the fractional Laplacian) are discussed....

   Christian Klein, Nikola Stoilov in Fractional Dispersive Models and Applications

   Chapter 2024
   

10. System Representation of Physical Quantities: Visualization of Dimensional Relationships of Physical Laws

    The principle of geometric-dimensional representation of physical quantities in the dimensions of the International System of Units in the form of...

    A. S. Chuev in Measurement Techniques

    Article 01 December 2022
    

11. Comparison of Two Numerical Models of Convection in the Earth’s Mantle

    Abstract

    The three-dimensional convection in the Earth’s mantle is studied with a well-known mathematical model, which includes the Navier–Stokes...

    V. V. Chervov, G. G. Chernykh, I. B. Palymskiy in Journal of Engineering Thermophysics

    Article 01 March 2024
    

12. Multi-representation dynamics of SU(4) composite Higgs models: chiral limit and spectral reconstructions

    We present a lattice study of the SU (4) gauge theory with two Dirac fermions in the fundamental and two in the two-index antisymmetric...

    Luigi Del Debbio, Alessandro Lupo, ... Nazario Tantalo in The European Physical Journal C

    Article Open access 16 March 2023
    

13. On Uncertainty Representation Formats in Solving Measurement Problems

    Two uncertainty representation formats in solving measurement problems are considered: probability distribution and the scattering parameter of a...

    S. F. Levin in Measurement Techniques

    Article 01 July 2022

14. Biased versus unbiased numerical methods for stochastic simulations

    Approximate numerical methods are one of the most used strategies to extract information from many-interacting-agents systems. In particular,...

    Javier Aguilar, José J. Ramasco, Raúl Toral in Communications Physics

    Article Open access 13 May 2024
    

15. Relational Analysis of Dirac Equation in Momentum Representation

    Abstract

    In terms of the relational approach to space-time geometry and physical interactions, we show that the Dirac equation for a free fermion in...

    Anton V. Solov’yov in Gravitation and Cosmology

    Article 25 November 2022

16. Numerical Modeling of Branched Cracks

    Abstract

    With the growth of various microdefects in bodies, complex systems of cracks of arbitrary configuration can be generated. This paper presents...

    A. V. Zvyagin, A. S. Udalov in Moscow University Mechanics Bulletin

    Article 01 February 2023
    

17. Numerical integration of loop integrals through local cancellation of threshold singularities

    We propose a new approach that allows for the separate numerical calculation of the real and imaginary parts of finite loop integrals. We find that...

    D. Kermanschah in Journal of High Energy Physics

    Article Open access 26 January 2022

18. Numerical Calculation and Analytic Formulas of Yarkovsky Effect Parameter of Circumsolar Asteroids

    The paper deals with two problems. The main problem is the parameter calculation for the Yarkovsky effect using analytic formulas and their...

    T. Yu. Galushina, D. L. Bashaev, ... O. M. Syusina in Russian Physics Journal

    Article 03 July 2024

19. Spatial representation of Lissajous trajectories by an optical method

    Acousto-optic deflectors (AODs) do not contain moving parts and therefore they are free of drawbacks associated with mechanical deflectors and...

    Amir Guessoum, Ibrahim Yaacoub Bouderbala in Applied Physics A

    Article 05 June 2024
    

20. Deep learning waveform anomaly detector for numerical relativity catalogs

    Numerical Relativity has been of fundamental importance for studying compact binary coalescence dynamics, waveform modelling, and eventually for...

    Tibério Pereira, Riccardo Sturani in General Relativity and Gravitation

    Article 15 February 2024