Difference potentials analogous to Cauchy integrals

VS Ryaben'kii - Russian Mathematical Surveys, 2012 - iopscience.iop.org
This work presents the state of the art in the theory of potentials for the solutions of systems
of linear difference equations, which was proposed by the author in 1969. The role played …

Multi-domain active sound control and noise shielding

H Lim, SV Utyuzhnikov, YW Lam… - The Journal of the …, 2011 - pubs.aip.org
This paper describes an active sound control methodology based on difference potentials.
The main feature of this methodology is its ability to automatically preserve “wanted” sound …

Potential-based methodology for active sound control in three dimensional settings

H Lim, SV Utyuzhnikov, YW Lam, L Kelly - The Journal of the …, 2014 - pubs.aip.org
This paper extends a potential-based approach to active noise shielding with preservation of
wanted sound in three-dimensional settings. The approach, which was described in a …

Active sound control in 3D bounded regions

EA Ntumy, SV Utyuzhnikov - Wave Motion, 2014 - Elsevier
We consider active sound control with the preservation of wanted sound in 3D bounded
regions via numerical experiments. In contrast to some previous papers which are based on …

Optimized nonlocal active sound control in frequency domain

N Hu, S Utyuzhnikov - Applied Acoustics, 2022 - Elsevier
In the active sound control problem considered in the paper, a quite arbitrary closed region
is acoustically shielded from ambient noise generated outside via implementation of …

A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell's equations

SV Petropavlovsky, SV Tsynkov - Journal of Computational Physics, 2012 - Elsevier
The performance of many well-known methods used for the treatment of outer boundaries in
computational electromagnetism (CEM) may deteriorate over long time intervals. The …

Real-time active noise control with preservation of desired sound

C Zhou, S Utyuzhnikov - Applied Acoustics, 2020 - Elsevier
In the active sound control problem a quite arbitrary bounded domain is shielded from noise
generated outside by implementing secondary sound sources on the perimeter. The sound …

Идея использования слабого шума для управления подавлением сильного шума в экранируемой подобласти в реальном времени

ВС Рябенький - Доклады Академии наук, 2010 - elibrary.ru
Вторая строчка таблицы A (p+ 1) совпадает с первой строчкой таблицы A (p). Заметим,
что описанный в примере алгоритм получения в экранируемой подобласти N–слабо го …

Математическая модель устройств подавления внешнего шума в подобласти пространства

ВС Рябенький - Математическое моделирование, 2012 - mathnet.ru
Излагается математическая теория управления решениями систем линейных
разностных уравнений в составных областях. Предложенная автором теория …

Real-time active wave control with preservation of wanted field

SV Utyuzhnikov - IMA Journal of Applied Mathematics, 2014 - ieeexplore.ieee.org
In active wave control, a quite arbitrary bounded domain is protected from the field (noise),
generated outside, via implementation of additional sources. The secondary sources can be …