On the Numerical Solution of the Poisson Equation in the Smoothed Particle Hydrodynamics
Studies in Applied Mathematics, Volume 157, Issue 4, October 2026.ABSTRACT In the present work, we address some aspects related to the numerical solution of the Poisson equation within the framework of the Smoothed Particle Hydrodynamics (SPH). In this case, the Poisson equation is solved using nonlocal, kernel‐based discretizations of the differential operators (i.e., gradient, divergence, and Laplacian operators ...
Matteo Antuono +2 more
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A five-dimensional classical framework for gravitational and quantum phenomena. [PDF]
Sci RepStrubbe F.
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On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract It is known that in low dimensions Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations can be rewritten as commuting quasilinear bi‐Hamiltonian systems. We extend some of these results to arbitrary dimension N$N$ and arbitrary scalar product η$\eta$.
S. Opanasenko, R. Vitolo
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W-Class States-Identification and Quantification of Bell-CHSH Inequalities' Violation. [PDF]
Entropy (Basel)Kalaga JK, Leoński W, Peřina J.
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Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources
Mathematical Methods in the Applied Sciences, Volume 49, Issue 14, Page 16146-16162, 30 September 2026.ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes +3 more
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Goos-Hänchen effect singularities in transdimensional plasmonic films. [PDF]
NanophotonicsBiehs SA, Bondarev IV.
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Multiphysics Simulation of Positive Streamer Discharge in Air Using Finite Element Method
International Journal for Numerical Methods in Engineering, Volume 127, Issue 18, 30 September 2026.ABSTRACT Streamer discharge modeling by means of the Finite Element Method (FEM) presents a formidable challenge in computational physics due to its nonlinear and convection‐dominated characteristics that cause numerical instabilities, including negative densities of charged particles.
Hasupama Jayasinghe +3 more
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Photon trapping in a time cavity flying at the speed of light. [PDF]
Nat CommunBabushkin I +3 more
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Soliton structures and dynamical characteristics of fractional nonlinear waves in the classical Boussinesq framework. [PDF]
Sci RepRimu NN, Islam MA, Dey P.
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An analytical exploration of dark and bright solitary wave solutions of time-fractional (3+1) -dimensional generalized Painlevé-type equation. [PDF]
Sci RepKhan M, Ali R, Alsulami IM, Alsulami A.
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