Results 141 to 150 of about 133,676 (303)

Uncertainty quantification via polynomial chaos expansion of myocardial fibre orientation and cardiac activation patterns

open access: yesThe Journal of Physiology, EarlyView.
Abstract figure legend Graphical representation of methods. We implemented three biventricular geometric models (Zenger et al., 2020) with rule‐based myocardial fibre orientations (Bayer et al., 2018). We evaluated variability in the fibre orientation via four sets of parameter distributions to determine the role of the primary and imbrication angles ...
Lindsay C. R. Tanner   +8 more
wiley   +1 more source

What If Each Voxel Were Measured With a Different Diffusion Protocol?

open access: yesMagnetic Resonance in Medicine, Volume 95, Issue 4, Page 2277-2290, April 2026.
ABSTRACT Purpose Expansion of diffusion MRI (dMRI) both into the realm of strong gradients and into accessible imaging with portable low‐field devices brings about the challenge of gradient nonlinearities. Spatial variations of the diffusion gradients make diffusion weightings and directions non‐uniform across the field of view, and deform perfect ...
Santiago Coelho   +7 more
wiley   +1 more source

Equivariant toric geometry and Euler–Maclaurin formulae

open access: yesCommunications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell   +3 more
wiley   +1 more source

Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters

open access: yesPAMM, Volume 26, Issue 1, March 2026.
ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley   +1 more source

On discrete orthogonal U-Bernoulli Korobov-type polynomials

open access: yesConstructive Mathematical Analysis
The primary objective of this paper is to introduce and examine the new class of discrete orthogonal polynomials called $U$-Bernoulli Korobov-type polynomials. Furthermore, we derive essential recurrence relations and explicit representations for this polynomial class.
Alejandro Urieles   +2 more
openaire   +3 more sources

Phase Topology Stability of an Optical Vortex via an Electrically Controlled Twist‐Planar Oriented Liquid Crystal Fresnel Lens

open access: yesAdvanced Optical Materials, Volume 14, Issue 5, 2 February 2026.
A simple and efficient method for determining the stability of optical vortices via Fourier transform using a conventional spherical lens is presented. The theoretical and experimental results demonstrate a practical approach to directly and unambiguously measure the magnitude and sign of the topological charge of a beam without altering an ...
Elena Melnikova   +5 more
wiley   +1 more source

A Legendre spectral method based on a hybrid format and its error estimation for fourth-order eigenvalue problems

open access: yesAIMS Mathematics
In this paper, we developed and studied an efficient Legendre spectral method for fourth order eigenvalue problems with the boundary conditions of a simply supported plate.
Yuanqiang Chen, Jihui Zheng, Jing An
doaj   +1 more source

The Hahn Quantum System

open access: yes, 2017
Using a formulation of quantum mechanics based on the theory of orthogonal polynomials, we introduce a four-parameter system associated with the Hahn and continuous Hahn polynomials.
Alhaidari, A D, Li, Y. -T.
core  

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