Results 131 to 140 of about 1,874,872 (323)
Parallel Vector Processing in Optical Computing With Jacobi Time‐Wave Packets
Laser &Photonics Reviews, EarlyView.Functionality of a single neuron and state of the art photonic acceleration with a Mach‐Zehnder‐interferometer (MZI) mesh (i), a crossbar array (ii) and a micro ring resonator (MRR) array (iii). In the proposed Jacobi time‐wave packet approach (iv) a single modulator (here a ring modulator) is performing the whole scalar vector product in a single ...
Janosch Meier +5 more
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Block Krylov subspaces and orthogonal matrix polynomials: a structural correspondence with applications to unitary matrices [PDF]
Michele Rinelli, Raf Vandebril
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Laser &Photonics Reviews, EarlyView.A dual‐layer metasurface is integrated on a fiber‐array facet to realize compact, plug‐and‐play free‐space optical links with cylindrical vector beam (CVB) space‐division multiplexing. An optimized off‐axis collimation layer steers multiple channels, while a Dammann vortex layer performs polarization–topology conversion for bidirectional CVB (de ...
Xipeng Lu +6 more
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Regularity Estimates for Fully Nonlinear Dead‐Core Problems With a Hamiltonian Term
Mathematische Nachrichten, EarlyView.ABSTRACT In this paper, we present a problem involving fully nonlinear elliptic operators with Hamiltonian, which can present a singularity or degenerate as the gradient approaches the origin. The model studied here, allows the appearance of plateau zones, i.e., unknown regions of the domain in which the non‐negative solutions vanishes.
Rafael R. Costa, Ginaldo S. Sá
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A Well-Conditioned Spectral Galerkin–Levin Method for Highly Oscillatory Integrals
AppliedMathThis paper addresses the numerical evaluation of highly oscillatory integrals by developing a spectral Galerkin–Levin approach that efficiently solves Levin’s differential equation formulation for such integrals.
Viktoriya Pasternak +3 more
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Discrete Dynamics in Nature and Society, 2017 In this paper, a robust, effective, and accurate numerical approach is proposed to obtain the numerical solution of fractional differential equations. The principal characteristic of the approach is the new orthogonal functions based on shifted Legendre ...
Qingxue Huang +5 more
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Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke +3 more
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Banded Hermitian Matrices, Matrix Orthogonal Polynomials, and the Toda Lattice [PDF]
Charbel Abi Younes, Thomas Trogdon
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Construction of Fractional Pseudospectral Differentiation Matrices with Applications
AxiomsDifferentiation matrices are an important tool in the implementation of the spectral collocation method to solve various types of problems involving differential operators.
Wenbin Li, Hongjun Ma, Tinggang Zhao
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Hyperbolic Rotations With Hybrid Numbers
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper presents a geometric and algebraic analysis of hyperbolic hybrid numbers, which combine structural features of the complex, dual, and hyperbolic number systems. Based on the algebraic properties of the hybrid number set, hyperbolic rotations in both the plane and space are investigated.
İskender Öztürk +2 more
wiley +1 more source