Results 51 to 60 of about 126,703,443 (108)
Reduced Integration‐Based Stabilization for Virtual Elements
Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 4, December 2025.ABSTRACT Stabilization techniques in combination with reduced integration are often employed in numerical methods to address problems of locking while reducing computational costs. In finite elements, concepts such as enhanced assumed strain (EAS) methods are usually employed in combination with stabilization techniques to tackle certain locking ...
Njomza Pacolli +4 more
wiley +1 more source
Higher Gauss sums of modular categories [PDF]
, 2019 The definitions of the nth Gauss sum and the associated nth central charge are introduced for premodular categories C and n∈ Z. We first derive an expression of the nth Gauss sum of a modular category C, for any integer n coprime to the order of the T ...
Wang, Yilong +2 more
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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
wiley +1 more source
Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations [PDF]
, 2015 We establish the non-singular Hasse principle for systems of three diagonal quartic equations in 32 or more variables, subject to a certain rank condition.
Wooley, Trevor D. +3 more
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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
wiley +1 more source
Bias in cubic Gauss sums: Patterson’s conjecture
, 2022 We prove, in this joint work with Maksym Radziwill, a 1978 conjecture of S. Patter-son (conditional on the Generalised Riemann hypothesis) concerning the bias of cubic Gauss sums.
Dunn, Alex
core
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
wiley +1 more source
Quadratic Gauss sums on matrices [PDF]
, 2004 Gauss sums over a finite field are generalized to ones over a matrix ring, related to numbers of solutions of diagonal matrix equations. A similar relation of quadratic Gauss sums of two types is obtained.
Kuroda, Mitsuru, Mitsuru Kuroda
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Irreducible Cyclic Codes and Gauss Sums
, 1975 In this paper we wish to point out the existence of a close connection between irreducible cyclic codes and Gauss sums over finite fields, and then to apply the well-developed theory of Gauss sums to the much less well-developed theory of irreducible ...
McEliece, R. J., R. J. McEliece
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On the $2k$-th power mean of $\frac {L'}L(1,\chi )$ with the weight of Gauss sums
, 2009 summary:The main purpose of this paper is to study the hybrid mean value of $\frac {L'}L(1,\chi )$ and Gauss sums by using the estimates for trigonometric sums as well as the analytic method.
Yi, Yuan, Ren, Dongmei
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