Continuous Galerkin and Enriched Galerkin Methods with Arbitrary Order Discontinuous Trial Functions for the Elliptic and Parabolic Problems with Jump Conditions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-020-01255-4
Abstract: In this paper, a new version of the enriched Galerkin (EG) method for elliptic and parabolic equations is presented and analyzed, which is capable of dealing with a jump condition along a submanifold $${\Gamma _{\text… read more here.
Keywords: enriched galerkin; method; elliptic parabolic; continuous galerkin ... See more keywords
A Note on the Paper “The Algebraic Structure of the Arbitrary-Order Cone”
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Optimization Theory and Applications"
DOI: 10.1007/s10957-017-1102-7
Abstract: In this short paper, we look into a conclusion drawn by Alzalg (J Optim Theory Appl 169:32–49, 2016). We think the conclusion drawn in the paper is incorrect by pointing out three things. First, we… read more here.
Keywords: order cone; paper; inner product; cone ... See more keywords
Robust finite-time stabilisation of an arbitrary-order nonholonomic system in chained form
Sign Up to like & getrecommendations! Published in 2022 at "Automatica"
DOI: 10.1016/j.automatica.2021.109956
Abstract: Abstract We present a robust finite-time stabilising algorithm for an arbitrary-order nonholonomic system in chained form. The state feedback is locally bounded, homogeneous and discontinuous. Its design follows from a generalised circle criterion based on… read more here.
Keywords: finite time; nonholonomic system; order nonholonomic; system chained ... See more keywords
Digital PI-PD controller design for arbitrary order systems: Dominant pole placement approach.
Sign Up to like & getrecommendations! Published in 2018 at "ISA transactions"
DOI: 10.1016/j.isatra.2018.04.009
Abstract: In this paper, a digital PI-PD controller design method is proposed for arbitrary order systems with or without time-delay to achieve desired transient response in the closed-loop via dominant pole placement approach. The digital PI-PD… read more here.
Keywords: arbitrary order; digital controller; controller design; controller ... See more keywords
Capacity of arbitrary-order orbital angular momentum multiplexing system
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DOI: 10.1016/j.optcom.2016.10.069
Abstract: Abstract Arbitrary-order orbital angular momentum multiplexing (AOAMM) systems utilize OAM modes with both integer and fractional topological charges which are non-orthogonal. In this paper, the transmission matrix and the capacity per unit bandwidth, i.e., the… read more here.
Keywords: aoamm systems; angular momentum; order orbital; momentum multiplexing ... See more keywords
Generation of terahertz annular vector beams with arbitrary order from gas-plasma induced by few-cycle vector beams
Sign Up to like & getrecommendations! Published in 2018 at "Optics Communications"
DOI: 10.1016/j.optcom.2018.07.042
Abstract: Abstract A method for the generation of annular vector beams (AVBs) with arbitrary order in the THz regime is proposed and numerically confirmed based on the photocurrent model from gas-plasma induced by a near-infrared few-cycle… read more here.
Keywords: vector; vector beams; cycle; annular vector ... See more keywords
Arbitrary order exceptional point induced by photonic spin–orbit interaction in coupled resonators
Sign Up to like & getrecommendations! Published in 2019 at "Nature Communications"
DOI: 10.1038/s41467-019-08826-6
Abstract: Many novel properties of non-Hermitian systems are found at or near the exceptional points—branch points of complex energy surfaces at which eigenvalues and eigenvectors coalesce. In particular, higher-order exceptional points can result in optical structures… read more here.
Keywords: exceptional points; exceptional point; order exceptional; arbitrary order ... See more keywords
On connection coefficients of some perturbed of arbitrary order of the Chebyshev polynomials of second kind
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Difference Equations and Applications"
DOI: 10.1080/10236198.2018.1561880
Abstract: ABSTRACTOrthogonal polynomials satisfy a recurrence relation of order two defined by two sequences of coefficients. If we modify one of these recurrence coefficients at a certain order, we obtain t... read more here.
Keywords: order chebyshev; order; perturbed arbitrary; coefficients perturbed ... See more keywords
Network-based prediction of drug-target interactions using an arbitrary-order proximity embedded deep forest
Sign Up to like & getrecommendations! Published in 2020 at "Bioinformatics"
DOI: 10.1093/bioinformatics/btaa010
Abstract: MOTIVATION Systematic identification of molecular targets among known drugs plays an essential role in drug repurposing and understanding of their unexpected side effects. Computational approaches for prediction of drug-target interactions (DTIs) are highly desired in… read more here.
Keywords: network based; network; deep forest; drug ... See more keywords
Anisotropic exceptional points of arbitrary order
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DOI: 10.1103/physrevb.99.241403
Abstract: A pair of anisotropic exceptional points (EPs) of arbitrary order are found in a class of non-Hermitian random systems with asymmetric hoppings. Both eigenvalues and eigenvectors exhibit distinct behaviors when these anisotropic EPs are approached… read more here.
Keywords: order; points arbitrary; order anisotropic; exceptional points ... See more keywords
AORM: Fast Incremental Arbitrary-Order Reachability Matrix Computation for Massive Graphs
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Access"
DOI: 10.1109/access.2021.3077888
Abstract: Processing a reachability query in large-scale networks using existing methods remains one of the most challenging problems in graph mining. In this paper, we propose a novel incremental algorithmic framework for arbitrary-order reachability computation in… read more here.
Keywords: computation massive; computation; reachability; order reachability ... See more keywords