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Singular splines. / Dem'yanovich, Yu K.; Evdokimova, T. O.; Ivantsova, O. N.; Lebedinskii, D. M.; Ponomareva, A. Y.

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. ed. / Theodore E. Simos; Theodore E. Simos; Theodore E. Simos; Theodore E. Simos; Theodore E. Simos; Charalambos Tsitouras. American Institute of Physics, 2020. 420029 (AIP Conference Proceedings; Vol. 2293).

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

Harvard

Dem'yanovich, YK, Evdokimova, TO, Ivantsova, ON, Lebedinskii, DM & Ponomareva, AY 2020, Singular splines. in TE Simos, TE Simos, TE Simos, TE Simos, TE Simos & C Tsitouras (eds), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019., 420029, AIP Conference Proceedings, vol. 2293, American Institute of Physics, International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019, Rhodes, Greece, 23/09/19. https://doi.org/10.1063/5.0031734

APA

Dem'yanovich, Y. K., Evdokimova, T. O., Ivantsova, O. N., Lebedinskii, D. M., & Ponomareva, A. Y. (2020). Singular splines. In T. E. Simos, T. E. Simos, T. E. Simos, T. E. Simos, T. E. Simos, & C. Tsitouras (Eds.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019 [420029] (AIP Conference Proceedings; Vol. 2293). American Institute of Physics. https://doi.org/10.1063/5.0031734

Vancouver

Dem'yanovich YK, Evdokimova TO, Ivantsova ON, Lebedinskii DM, Ponomareva AY. Singular splines. In Simos TE, Simos TE, Simos TE, Simos TE, Simos TE, Tsitouras C, editors, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. American Institute of Physics. 2020. 420029. (AIP Conference Proceedings). https://doi.org/10.1063/5.0031734

Author

Dem'yanovich, Yu K. ; Evdokimova, T. O. ; Ivantsova, O. N. ; Lebedinskii, D. M. ; Ponomareva, A. Y. / Singular splines. International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019. editor / Theodore E. Simos ; Theodore E. Simos ; Theodore E. Simos ; Theodore E. Simos ; Theodore E. Simos ; Charalambos Tsitouras. American Institute of Physics, 2020. (AIP Conference Proceedings).

BibTeX

@inproceedings{a7c1361dc7a94b8791dead0fa5b60fdc,
title = "Singular splines",
abstract = "Singular splines are required for approximation of functions with point singularities. This paper develops a concept ofgeneralized smoothness in the case of the mentioned splines. Generalized smoothness is defined as equality of values for two functionals with local supports. The splines are constructed by the suitable approximation relations. The last ones are obtained by application of the concept to the right part of the relations (i.e. to generating vector function). Sufficient conditions of coordinate spline existence are established. The generalized smoothness of the coordinate splines has as a consequence of embedded spline spaces constructed on embedded grids.",
author = "Dem'yanovich, {Yu K.} and Evdokimova, {T. O.} and Ivantsova, {O. N.} and Lebedinskii, {D. M.} and Ponomareva, {A. Y.}",
note = "Funding Information: This work was partly supported by RFBR Grant 15-01-08847,20-51-54002. Publisher Copyright: {\textcopyright} 2020 American Institute of Physics Inc.. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 ; Conference date: 23-09-2019 Through 28-09-2019",
year = "2020",
month = nov,
day = "24",
doi = "10.1063/5.0031734",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Simos, {Theodore E.} and Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras",
booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019",
address = "United States",

}

RIS

TY - GEN

T1 - Singular splines

AU - Dem'yanovich, Yu K.

AU - Evdokimova, T. O.

AU - Ivantsova, O. N.

AU - Lebedinskii, D. M.

AU - Ponomareva, A. Y.

N1 - Funding Information: This work was partly supported by RFBR Grant 15-01-08847,20-51-54002. Publisher Copyright: © 2020 American Institute of Physics Inc.. All rights reserved. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/11/24

Y1 - 2020/11/24

N2 - Singular splines are required for approximation of functions with point singularities. This paper develops a concept ofgeneralized smoothness in the case of the mentioned splines. Generalized smoothness is defined as equality of values for two functionals with local supports. The splines are constructed by the suitable approximation relations. The last ones are obtained by application of the concept to the right part of the relations (i.e. to generating vector function). Sufficient conditions of coordinate spline existence are established. The generalized smoothness of the coordinate splines has as a consequence of embedded spline spaces constructed on embedded grids.

AB - Singular splines are required for approximation of functions with point singularities. This paper develops a concept ofgeneralized smoothness in the case of the mentioned splines. Generalized smoothness is defined as equality of values for two functionals with local supports. The splines are constructed by the suitable approximation relations. The last ones are obtained by application of the concept to the right part of the relations (i.e. to generating vector function). Sufficient conditions of coordinate spline existence are established. The generalized smoothness of the coordinate splines has as a consequence of embedded spline spaces constructed on embedded grids.

UR - http://www.scopus.com/inward/record.url?scp=85097990808&partnerID=8YFLogxK

U2 - 10.1063/5.0031734

DO - 10.1063/5.0031734

M3 - Conference contribution

AN - SCOPUS:85097990808

T3 - AIP Conference Proceedings

BT - International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2019

A2 - Simos, Theodore E.

A2 - Simos, Theodore E.

A2 - Simos, Theodore E.

A2 - Simos, Theodore E.

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

PB - American Institute of Physics

T2 - International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019

Y2 - 23 September 2019 through 28 September 2019

ER -

ID: 74275678