output
19962026
most citedUltra-high-Q resonances in plasmonic metasurfaces

460 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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8 papers · 1 filter

math.NA2018★ 10 cited

A note on the application of the Guermond-Pasquetti mass lumping correction technique for convection-diffusion problems

Sergii Siryk

We provide a careful Fourier analysis of the Guermond-Pasquetti mass lumping correction technique [Guermond J.-L., Pasquetti R. A correction technique for the dispersive effects of…

math.NA2017★ 15 cited

The quasi-optimality criterion in the linear functional strategy

Stefan Kindermann, Sergiy Pereverzyev, Andrey Pilipenko

The linear functional strategy for the regularization of inverse problems is considered. For selecting the regularization parameter therein, we propose the heuristic quasi-optimali…

math.NA2015★ 5 cited

Reversible Digital Filters Total Parametric Sensitivity Optimization using Non-canonical Hypercomplex Number Systems

Yakiv O. Kalinovsky, Yuliya E. Boyarinova, Iana V. Khitsko

Digital filter construction method, which is optimal by parametric sensitivity, based on using of non-canonical hypercomplex number systems is proposed and investigated. It is show…

math.NA2014

Generalized quaternions and their relations with Grassmann-Clifford procedure of doubling

Yakiv O. Kalinovsky, Yuliya E. Boyarinova, Alina S. Turenko +1

The class of non-commutative hypercomplex number systems (HNS) of 4-dimension, constructed by using of non-commutative Grassmann-Clifford procedure of doubling of 2-dimensional sys…

math.NA2014

Clifford Type Algebra Characteristics Investigation

Yakiv O. Kalinovsky, Dmitry V. Lande, Dr. Sc. +2

The main properties of hypercomplex generalization of quaternion system as antiquaternion are presented in this article. Definitions and studied of antiquaternions conjugation are…

math.NA2014★ 3 cited

Some isomorphic classes for noncanonical hypercomplex number systems of dimension 2

Yakiv O. Kalinovsky, Dmitry V. Lande, Yuliya E. Boyarinova +1

Building of some isomorphic classes for noncanonical hypercomplex number systems o dimension 2 is described. In general case, such systems with specific constraints to structural c…

math.NA2014★ 1 cited

Inifnite hypercomplex number system factorization methods

Yakiv O. Kalinovsky, Dmitry V. Lande, Yuliya E. Boyarinova +1

The method of obtaining the set of noncanonical hypercomplex number systems by conversion of infinite hypercomplex number system to finite hypercomplex number system depending on m…

math.NA2008

A combined space discrete algorithm with a Taylor series by time for CFD

Ivan Kazachkov

The first order by time partial differential equations are used as models in applications such as fluid flow, heat transfer, solid deformation, electromagnetic waves, and others. I…