Results 41 to 50 of about 6,655 (117)
International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.ABSTRACT In this paper, we numerically examine the precision challenges that emerge in automatic differentiation and numerical integration in various tasks now tackled by physics‐informed neural networks (PINNs). Specifically, we illustrate how ill‐posed problems or inaccurately computed functions can cause serious precision issues in differentiation ...
Josef Daněk, Jan Pospíšil
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Symmetrized Poisson Reconstruction
Computer Graphics Forum, Volume 44, Issue 5, August 2025.Abstract Many common approaches for reconstructing surfaces from point clouds leverage normal information to fit an implicit function to the points. Normals typically play two roles: the direction provides a planar approximation to the surface and the sign distinguishes inside from outside.
M. Kohlbrenner +3 more
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Influence of Form and Structural Features of Open‐Cell Hybrid Foam on the Remanent Magnetic Scanning
Advanced Engineering Materials, Volume 27, Issue 12, June 2025.Simulations using an equivalent model are performed to improve the understanding of remanent magnetic scanning of hybrid foam samples for coating thickness estimation. The model allows to study the influence of isolated geometrical features such as layer thickness, boundary effects, as well as effects due to the statistical nature of the foams, which ...
Bashar Ibrahim +4 more
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Large values of $L(1,\chi)$ for $k$-th order characters $\chi$ and applications to character sums
, 2015 For any given integer $k\geq 2$ we prove the existence of infinitely many $q$ and characters $ \chi\pmod q$ of order $k$, such that $|L(1,\chi)|\geq (e^{\gamma}+o(1))\log\log q$. We believe this bound to be best possible.
Lamzouri, Youness
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Monolithic Newton‐Multigrid Finite Element Methods for the Simulation of Thixoviscoplastic Flows
International Journal for Numerical Methods in Fluids, Volume 97, Issue 4, Page 565-604, April 2025.ABSTRACT In this paper, we shall be concerned with the development, application, and numerical analysis of the monolithic Newton‐Multigrid finite element method (FEM) to simulate thixoviscoplastic (TVP) flows. We demonstrate the importance of robustness and efficiency of Newton‐Multigrid FEM solver for obtaining accurate solutions.
Naheed Begum +2 more
wiley +1 more source
Variational approach to multimode nonlinear optical fibers
Nanophotonics, Volume 14, Issue 6, Page 805-813, April 2025.Abstract We analyze the spatiotemporal solitary waves of a graded‐index multimode optical fiber with a parabolic transverse index profile. Using the nonpolynomial Schrödinger equation approach, we derive an effective one‐dimensional Lagrangian associated with the Laguerre–Gauss modes with a generic radial mode number p and azimuthal index m.
Francesco Lorenzi, Luca Salasnich
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Advances in Civil Engineering, Volume 2025, Issue 1, 2025.This paper presents a novel method for deriving shape functions of a nine‐node rectangular element based on solving the steady‐state heat conduction equation. Unlike traditional methods using Lagrange polynomials, this approach utilizes a linear combination of temperature distribution (TD) coefficients to extract second‐order shape functions for a one ...
Ramin Tabatabaei Mirhosseini +2 more
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The Rabin cryptosystem revisited [PDF]
, 2013 The Rabin public-key cryptosystem is revisited with a focus on the problem of identifying the encrypted message unambiguously for any pair of primes.
Elia, Michele +2 more
core
Investigating the Influence of Petrophysical Parameter in Gravel Packing Sand Control Applications
Geofluids, Volume 2025, Issue 1, 2025.Gravel packing is a primary method for sand control in hydrocarbon wells, with its effectiveness primarily governed by gravel particle size and packing structure. Current gravel packing designs primarily rely on empirical engineering experience, while rock physics models for quantifying gravel packing permeability remain underdeveloped.
Jin Dai +8 more
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Criterion for Class Number of the Family Q254m2+m to be Greater Than or Equal to Three
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we present an explicit lower bound for the class number of real quadratic field k=QD, where D = 25m2 + 4m is a square‐free integer and m ≡ 4 (mod 5) is an odd positive integer.
Ahmad Issa, Huadong Su
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