Results 151 to 160 of about 1,823 (234)

The asymptotic Mahler measure of Gaussian periods

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a sequence of cyclotomic integers (Gaussian periods) of particularly small Mahler measure/height. We study the asymptotics of their Mahler measure as a function of their conductor, to find that the growth rate is the (multivariate) Mahler measure of a family of log Calabi–Yau varieties of increasing dimension.
Gunther Cornelissen   +2 more
wiley   +1 more source

Skew shapes, Ehrhart positivity, and beyond

open access: yesProceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract A classical result by Kreweras (1965) allows one to compute the number of plane partitions of a given skew shape and bounded parts as certain determinants. We prove that these determinants expand as polynomials with nonnegative coefficients.
Luis Ferroni   +2 more
wiley   +1 more source

Neural‐Initialized Newton: Accelerating Nonlinear Finite Elements via Operator Learning

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT We propose a Newton‐based scheme, initialized by neural operator predictions, to accelerate the parametric solution of nonlinear problems in computational solid mechanics. First, a physics‐informed neural operator based on conditional neural fields or Fourier neural operators is trained to approximate the nonlinear parametric solution of the ...
Kianoosh Taghikhani   +5 more
wiley   +1 more source

A Quasicontinuum Method With Optimized Local Maximum‐Entropy Interpolation and Heaviside Enrichment for Heterogeneous Lattices

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACTLattice systems are indispensable for modeling and analyzing physical phenomena in materials with discrete or heterogeneous micro‐ or meso‐structures. However, the computational requirements for practical engineering applications of lattice systems remain high.
Benjamin Werner   +2 more
wiley   +1 more source

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