Results 21 to 30 of about 90 (77)
International Journal for Numerical Methods in Engineering, Volume 126, Issue 22, 30 November 2025.ABSTRACT The recently published hyper‐reduction method “Empirically Corrected Cluster Cubature” (E3C) is applied for the first time in three dimensions (here magnetostatics). The method is verified to give accurate results even for a small number of integration points, such as 15 for 3D microstructure simulations.
Hauke Goldbeck, Stephan Wulfinghoff
wiley +1 more source
A classification of infinite staircases for Hirzebruch surfaces
Journal of Topology, Volume 18, Issue 1, March 2025.Abstract The ellipsoid embedding function of a symplectic manifold gives the smallest amount by which the symplectic form must be scaled in order for a standard ellipsoid of the given eccentricity to embed symplectically into the manifold. It was first computed for the standard four‐ball (or equivalently, the complex projective plane) by McDuff and ...
Nicki Magill +2 more
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Connectivity of Markoff mod‐p graphs and maximal divisors
Proceedings of the London Mathematical Society, Volume 130, Issue 2, February 2025.Abstract Markoff mod‐p$p$ graphs are conjectured to be connected for all primes p$p$. In this paper, we use results of Chen and Bourgain, Gamburd, and Sarnak to confirm the conjecture for all p>3.45·10392$p > 3.45\cdot 10^{392}$. We also provide a method that quickly verifies connectivity for many primes below this bound.
Jillian Eddy +4 more
wiley +1 more source
IET Science, Measurement &Technology, Volume 19, Issue 1, January/December 2025.This study presents an innovative approach to identify electrical discharges by proposing an algorithm involving the concept of fractal geometry. Based on the box‐counting method, our algorithm is developed to detect and track the progression of electrical discharges leading to flashover.
Imene Ferrah +4 more
wiley +1 more source
Strong bounds and exact solutions to the minimum broadcast time problem
International Transactions in Operational Research, Volume 32, Issue 1, Page 314-352, January 2025.Abstract Given a graph and a subset of its nodes, referred to as source nodes, the minimum broadcast time problem asks for the minimum number of steps in which a signal can be transmitted from the sources to all other nodes in the graph. In each step, the sources and the nodes that already have received the signal can forward it to at most one of their
Marika Ivanova +2 more
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Abstract Book for the 27th Congress of the European Hematology Association
, 2022 HemaSphere, Volume 6, Issue S3, Page 1-4130, June 2022.
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Hexagonal and Trigonal Quasiperiodic Tilings
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Exploring nonminimal‐rank quasicrystals, which have symmetries that can be found in both periodic and aperiodic crystals, often provides new insight into the physical nature of aperiodic long‐range order in models that are easier to treat. Motivated by the prevalence of experimental systems exhibiting aperiodic long‐range order with hexagonal ...
Sam Coates +6 more
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Canonical‐Cell Tilings and their Atomic Decorations
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract The canonical cell tiling is a geometrical framework that uses four kinds of basic polyhedra, called the canonical cells, to model the packing of atoms and clusters in icosahedral quasicrystals and related periodic approximants. Over the past three decades, it has become increasingly clear that this framework is the most sensible approach to ...
Nobuhisa Fujita +2 more
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Substitutions and their Generalisations
Israel Journal of Chemistry, Volume 64, Issue 10-11, November 2024.Abstract Tilings and point sets arising from substitutions are classical mathematical models of quasicrystals. Their hierarchical structure allows one to obtain concrete answers regarding spectral questions tied to the underlying measures and potentials.
Neil Mañibo
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Strong divisibility sequences and sieve methods
Mathematika, Volume 70, Issue 4, October 2024.Abstract We investigate strong divisibility sequences and produce lower and upper bounds for the density of integers in the sequence that only have (somewhat) large prime factors. We focus on the special cases of Fibonacci numbers and elliptic divisibility sequences, discussing the limitations of our methods.
Tim Browning, Matteo Verzobio
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