On a nonlocal elliptic problem arising in the confinement of a plasma in a current carrying stellarator [PDF]
, 2013 Weilin Zou, Fengquan Li, Boqiang Lv
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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On a Nonlocal Integral Operator Commuting with the Laplacian and the Sturm-Liouville Problem I: Low Rank Perturbations of the Operator [PDF]
, 2022 Lotfi Hermi, Naoki Saito
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NMR in Biomedicine, Volume 39, Issue 6, June 2026.We propose a novel deep learning algorithm for predicting the myelin water fraction from multiple gradient‐echo or spin‐echo pulse sequences arising in magnetic resonance relaxometry (MRR) measurements of the human brain. Our method incorporates both regularized nonlinear least squares and pure deep learning through a concatenation paradigm known as ...
Mirage Modi +7 more
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Existence and uniqueness results for nonlocal integral boundary value problems for fractional differential equations [PDF]
, 2016 Suli Liu +3 more
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Aspects of Parameter Identification for a Micromorphic Continuum applied to a Cold‐Box Sand
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT This work is concerned with the modeling of a cold‐box sand, a composition of sand grains and a resin binder. To this end, experiments are performed, which show the following characteristics: localization phenomena in the form of a shear band, softening behavior in the force‐displacement curve, and asymmetric behavior for compression and ...
Alexander Börger +3 more
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Existence of solutions for an n-dimensional operator equation and applications to BVPs
Electronic Journal of Differential Equations, 2014 By applying the Guo-Lakshmikantham fixed point theorem on high dimensional cones, sufficient conditions are given to guarantee the existence of positive solutions of a system of equations of the form $$ x_i(t)=\sum_{k=1}^n\sum_{j=1}^n\gamma_{ij}(t ...
George L. Karakostas
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NODAL SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS
, 2009 John A. Chamberlain +2 more
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FE2 Method to Model Rod‐ and Beam‐Like Atomic Based Nanostructures
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT The mechanical behaviour of rod‐ and beam‐like atomistic nanostructures is analysed using the FE2${\rm FE}^2$ method. At the macroscopic scale, the system is described by a two‐dimensional Timoshenko beam model. On the microscopic level, molecular mechanics is used.
Julian Ochs, Jens Wackerfuß
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Parabolic problems for direction-dependent local-nonlocal operators [PDF]
, 2019 Jamil Chaker +2 more
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