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  1. Jacobi set simplification for tracking topological features in time-varying scalar fields

    The Jacobi set of a bivariate scalar field is the set of points where the gradients of the two constituent scalar fields align with each other. It...

    Dhruv Meduri, Mohit Sharma, Vijay Natarajan in The Visual Computer
    Article 05 June 2024
  2. Scalar field as a perfect fluid: thermodynamics of minimally coupled scalars and Einstein frame scalar-tensor gravity

    We revisit the analogy between a minimally coupled scalar field in general relativity and a perfect fluid, correcting previous identifications of...

    Valerio Faraoni, Serena Giardino, ... Robert Vanderwee in The European Physical Journal C
    Article Open access 16 January 2023
  3. Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling

    Abstract

    A mathematical model is constructed for the evolution of spherical perturbations in a cosmological one-component statistical system of...

    Article 22 June 2023
  4. Collective gradient perception with a flying robot swarm

    In this paper, we study the problem of collective and emergent sensing with a flying robot swarm in which social interactions among individuals lead...

    Tugay Alperen Karagüzel, Ali Emre Turgut, ... Eliseo Ferrante in Swarm Intelligence
    Article Open access 26 October 2022
  5. A no-go theorem for scalar fields with couplings from Ginzburg–Landau models

    Recently Hod proved a no-go theorem that static scalar fields cannot form spherically symmetric boson stars in the asymptotically flat background. On...

    Guohua Liu, Yan Peng in The European Physical Journal C
    Article Open access 29 June 2022
  6. Characterizations of Gradient h-Almost Yamabe Solitons

    In this article we deal with gradient h -almost Yamabe solitons introduced by Zeng (J Math Study 54(4):371–386 2021). In this setting we prove that...

    Antonio W. Cunha, Mohd. Danish Siddiqi in Results in Mathematics
    Article 26 December 2022
  7. Scalar-based strain gradient plasticity theory to model size-dependent kinematic hardening effects

    A common belief in phenomenological strain gradient plasticity modeling is that including the gradient of scalar variables in the constitutive...

    Mohamed Jebahi, Samuel Forest in Continuum Mechanics and Thermodynamics
    Article 23 January 2021
  8. A constrained subgrid-scale model for passive scalar turbulence

    In this paper, a constrained large-eddy simulation (C-LES) model is used to simulate passive scalar in turbulent flows. The coefficients of the...

    Peng Huang, Kuanyu Chen, ... Min** Wan in Acta Mechanica Sinica
    Article 12 April 2023
  9. The prescribed Gauduchon scalar curvature problem in almost Hermitian geometry

    In this paper, we consider the prescribed Gauduchon scalar curvature problem on almost Hermitian manifolds. By deducing the expression of the...

    Yuxuan Li, Wubin Zhou, **anchao Zhou in Science China Mathematics
    Article 21 September 2023
  10. Gradient-Based Monte Carlo Methods for Relaxation Approximations of Hyperbolic Conservation Laws

    Particle methods based on evolving the spatial derivatives of the solution were originally introduced to simulate reaction-diffusion processes,...

    Giulia Bertaglia, Lorenzo Pareschi, Russel E. Caflisch in Journal of Scientific Computing
    Article Open access 11 July 2024
  11. First-order thermodynamics of scalar-tensor gravity

    The first-order thermodynamics of scalar-tensor theory is a novel approach that exploits the intriguing relationship between gravity and...

    Serena Giardino, Andrea Giusti in Ricerche di Matematica
    Article Open access 26 July 2023
  12. Gradient Method

    In this chapter we introduce the gradient method, which is one of the first methods proposed for the unconstrained minimization of differentiable...
    Luigi Grippo, Marco Sciandrone in Introduction to Methods for Nonlinear Optimization
    Chapter 2023
  13. Scalar and Vector Bases for Periodic Pipe Flow

    Modified Jacobi polynomials; Orthonormalization of the modified polynomials; Test function space...
    Wolfgang Kollmann in Navier-Stokes Turbulence
    Chapter 2024
  14. On covariant perturbations with scalar field in modified Gauss–Bonnet gravity

    Albert Munyeshyaka, Joseph Ntahompagaze, ... Manasse Mbonye in The European Physical Journal C
    Article Open access 18 January 2024
  15. Neural networks for scalar input and functional output

    The regression of a functional response on a set of scalar predictors can be a challenging task, especially if there is a large number of predictors,...

    Sidi Wu, Cédric Beaulac, Jiguo Cao in Statistics and Computing
    Article 08 August 2023
  16. The stabilized-trigonometric scalar auxiliary variable approach for gradient flows and its efficient schemes

    We develop a trigonometric scalar auxiliary variable (TSAV) approach for constructing linear, totally decoupled, and energy-stable numerical methods...

    Junxiang Yang, Junseok Kim in Journal of Engineering Mathematics
    Article 09 August 2021
  17. Gradient Flows on Graphons: Existence, Convergence, Continuity Equations

    Wasserstein gradient flows on probability measures have found a host of applications in various optimization problems. They typically arise as the...

    Sewoong Oh, Soumik Pal, ... Raghavendra Tripathi in Journal of Theoretical Probability
    Article 03 July 2023
  18. Quantum Fletcher Reeves Conjugate Gradient Method

    Numerous applications involve optimization problems, including image processing (Hassan Ibrahim et al. 2020), science (Lin et al. 2020a) and...
    Bhagwat Ram, Shashi Kant Mishra, ... Predrag Rajković in Unconstrained Optimization and Quantum Calculus
    Chapter 2024
  19. Gravitational Collapse of a Spherical Scalar Field

    Examining the relativistic collapse of a spherical spacetime where gravity is coupled with a scalar field, this review provides a thorough analysis...
    Chapter 2024
  20. Alternative extension of the Hager–Zhang conjugate gradient method for vector optimization

    Recently, Gonçalves and Prudente proposed an extension of the Hager–Zhang nonlinear conjugate gradient method for vector optimization (Comput Optim...

    Qingjie Hu, Li** Zhu, Yu Chen in Computational Optimization and Applications
    Article 24 January 2024
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