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On Stationary Points of Distance Depending Potentials. / Uteshev, Alexei; Goncharova, Marina.

Numerical Computations: Theory and Algorithms: Conference proceedings NUMTA 2019. ed. / Yaroslav D. Sergeyev; Dmitri E. Kvasov; Yaroslav D. Sergeyev; Dmitri E. Kvasov. Cham : Springer Nature, 2020. p. 503-510 (Lecture Notes in Computer Science ; Vol. 11974 ).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Uteshev, A & Goncharova, M 2020, On Stationary Points of Distance Depending Potentials. in YD Sergeyev, DE Kvasov, YD Sergeyev & DE Kvasov (eds), Numerical Computations: Theory and Algorithms: Conference proceedings NUMTA 2019. Lecture Notes in Computer Science , vol. 11974 , Springer Nature, Cham, pp. 503-510, 3rd Triennial International Conference and Summer School on Numerical Computations: Theory and Algorithms, NUMTA 2019, Crotone, Italy, 15/06/19. https://doi.org/10.1007/978-3-030-40616-5_49

APA

Uteshev, A., & Goncharova, M. (2020). On Stationary Points of Distance Depending Potentials. In Y. D. Sergeyev, D. E. Kvasov, Y. D. Sergeyev, & D. E. Kvasov (Eds.), Numerical Computations: Theory and Algorithms: Conference proceedings NUMTA 2019 (pp. 503-510). (Lecture Notes in Computer Science ; Vol. 11974 ). Springer Nature. https://doi.org/10.1007/978-3-030-40616-5_49

Vancouver

Uteshev A, Goncharova M. On Stationary Points of Distance Depending Potentials. In Sergeyev YD, Kvasov DE, Sergeyev YD, Kvasov DE, editors, Numerical Computations: Theory and Algorithms: Conference proceedings NUMTA 2019. Cham: Springer Nature. 2020. p. 503-510. (Lecture Notes in Computer Science ). https://doi.org/10.1007/978-3-030-40616-5_49

Author

Uteshev, Alexei ; Goncharova, Marina. / On Stationary Points of Distance Depending Potentials. Numerical Computations: Theory and Algorithms: Conference proceedings NUMTA 2019. editor / Yaroslav D. Sergeyev ; Dmitri E. Kvasov ; Yaroslav D. Sergeyev ; Dmitri E. Kvasov. Cham : Springer Nature, 2020. pp. 503-510 (Lecture Notes in Computer Science ).

BibTeX

@inproceedings{d5fed2c764664eb09cca36ff987cd795,
title = "On Stationary Points of Distance Depending Potentials",
abstract = "We continue investigations started in the previous publications by the authors (LNCS, volumes 8136 (2013) and 9570 (2016)). The structure of stationary point sets is established for the family of functions given as linear combinations of an exponent L of Euclidean distances from a variable point to the fixed points in 2D and 3D spaces. We compare the structure of the stationary point sets for several values of the exponent L, focusing ourselves mainly onto the cases of Coulomb potential and Weber facility location problem. We develop the analytical approach to the problem aiming at finding the exact number of stationary points and their location in relation to the parameters involved.",
keywords = "Coulomb potential, Stationary points, Weber problem",
author = "Alexei Uteshev and Marina Goncharova",
note = "Uteshev A., Goncharova M. (2020) On Stationary Points of Distance Depending Potentials. In: Sergeyev Y., Kvasov D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science, vol 11974. Springer, Cham Publisher Copyright: {\textcopyright} 2020, Springer Nature Switzerland AG. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 3rd Triennial International Conference and Summer School on Numerical Computations: Theory and Algorithms, NUMTA 2019 ; Conference date: 15-06-2019 Through 21-06-2019",
year = "2020",
doi = "10.1007/978-3-030-40616-5_49",
language = "English",
isbn = "9783030406158",
series = "Lecture Notes in Computer Science ",
publisher = "Springer Nature",
pages = "503--510",
editor = "Sergeyev, {Yaroslav D.} and Kvasov, {Dmitri E.} and Sergeyev, {Yaroslav D.} and Kvasov, {Dmitri E.}",
booktitle = "Numerical Computations: Theory and Algorithms",
address = "Germany",

}

RIS

TY - GEN

T1 - On Stationary Points of Distance Depending Potentials

AU - Uteshev, Alexei

AU - Goncharova, Marina

N1 - Uteshev A., Goncharova M. (2020) On Stationary Points of Distance Depending Potentials. In: Sergeyev Y., Kvasov D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science, vol 11974. Springer, Cham Publisher Copyright: © 2020, Springer Nature Switzerland AG. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020

Y1 - 2020

N2 - We continue investigations started in the previous publications by the authors (LNCS, volumes 8136 (2013) and 9570 (2016)). The structure of stationary point sets is established for the family of functions given as linear combinations of an exponent L of Euclidean distances from a variable point to the fixed points in 2D and 3D spaces. We compare the structure of the stationary point sets for several values of the exponent L, focusing ourselves mainly onto the cases of Coulomb potential and Weber facility location problem. We develop the analytical approach to the problem aiming at finding the exact number of stationary points and their location in relation to the parameters involved.

AB - We continue investigations started in the previous publications by the authors (LNCS, volumes 8136 (2013) and 9570 (2016)). The structure of stationary point sets is established for the family of functions given as linear combinations of an exponent L of Euclidean distances from a variable point to the fixed points in 2D and 3D spaces. We compare the structure of the stationary point sets for several values of the exponent L, focusing ourselves mainly onto the cases of Coulomb potential and Weber facility location problem. We develop the analytical approach to the problem aiming at finding the exact number of stationary points and their location in relation to the parameters involved.

KW - Coulomb potential

KW - Stationary points

KW - Weber problem

UR - http://www.scopus.com/inward/record.url?scp=85080921829&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/e18a690f-741d-3d73-a1d7-672986d69149/

U2 - 10.1007/978-3-030-40616-5_49

DO - 10.1007/978-3-030-40616-5_49

M3 - Conference contribution

AN - SCOPUS:85080921829

SN - 9783030406158

T3 - Lecture Notes in Computer Science

SP - 503

EP - 510

BT - Numerical Computations: Theory and Algorithms

A2 - Sergeyev, Yaroslav D.

A2 - Kvasov, Dmitri E.

A2 - Sergeyev, Yaroslav D.

A2 - Kvasov, Dmitri E.

PB - Springer Nature

CY - Cham

T2 - 3rd Triennial International Conference and Summer School on Numerical Computations: Theory and Algorithms, NUMTA 2019

Y2 - 15 June 2019 through 21 June 2019

ER -

ID: 52360564