Standard

Errors of approximation with polynomial splines of the fifth order. / Burova, I. G. ; Doronina, A. G. .

Applied Physics, System Science and Computers II: Proceedings of the 2nd International Conference on Applied Physics, System Science and Computers (APSAC2017), September 27-29, 2017, Dubrovnik, Croatia. ed. / Klimis Ntalianis; Anca Croitoru. Springer Nature, 2019. p. 39-46 (LNEE; Vol. 489).

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

Harvard

Burova, IG & Doronina, AG 2019, Errors of approximation with polynomial splines of the fifth order. in K Ntalianis & A Croitoru (eds), Applied Physics, System Science and Computers II: Proceedings of the 2nd International Conference on Applied Physics, System Science and Computers (APSAC2017), September 27-29, 2017, Dubrovnik, Croatia. LNEE, vol. 489, Springer Nature, pp. 39-46, 2nd International Conference on Applied Physics, System Science and Computers, Dubrovnik, Croatia, 27/09/17. https://doi.org/10.1007/978-3-319-75605-9_6

APA

Burova, I. G., & Doronina, A. G. (2019). Errors of approximation with polynomial splines of the fifth order. In K. Ntalianis, & A. Croitoru (Eds.), Applied Physics, System Science and Computers II: Proceedings of the 2nd International Conference on Applied Physics, System Science and Computers (APSAC2017), September 27-29, 2017, Dubrovnik, Croatia (pp. 39-46). (LNEE; Vol. 489). Springer Nature. https://doi.org/10.1007/978-3-319-75605-9_6

Vancouver

Burova IG, Doronina AG. Errors of approximation with polynomial splines of the fifth order. In Ntalianis K, Croitoru A, editors, Applied Physics, System Science and Computers II: Proceedings of the 2nd International Conference on Applied Physics, System Science and Computers (APSAC2017), September 27-29, 2017, Dubrovnik, Croatia. Springer Nature. 2019. p. 39-46. (LNEE). https://doi.org/10.1007/978-3-319-75605-9_6

Author

Burova, I. G. ; Doronina, A. G. . / Errors of approximation with polynomial splines of the fifth order. Applied Physics, System Science and Computers II: Proceedings of the 2nd International Conference on Applied Physics, System Science and Computers (APSAC2017), September 27-29, 2017, Dubrovnik, Croatia. editor / Klimis Ntalianis ; Anca Croitoru. Springer Nature, 2019. pp. 39-46 (LNEE).

BibTeX

@inproceedings{2686d8158ea4448d8b7f999ea637d696,
title = "Errors of approximation with polynomial splines of the fifth order",
abstract = "This paper is a continuation of a series of papers devoted to the construction and investigation of the properties of integro-differential polynomial splines of the fifth order. It is supposed that values of function in grid nodes and values of integrals over intervals are known. Solving the system of linear algebraic equations, we find basic splines. An approximation of the function in this paper is constructed on every grid interval separately using values of the function in two adjacent grid nodes and the values of three integrals over intervals, and basic splines. We call this approximation an integro-differential spline and we call these basic splines integro-differential basic splines. The properties of interpolation with integro-differential polynomial basic splines are investigated. A comparison of the properties of integro-differential approximations for a different choice of integrals is presented. A comparison of the integro-differential approximation with approximation using polynomial splines of the Lagrangian type is made. Numerical examples are presented.",
keywords = "Approximation, Integro-differential splines",
author = "Burova, {I. G.} and Doronina, {A. G.}",
note = "Burova I.G., Doronina A.G. (2019) Errors of Approximation with Polynomial Splines of the Fifth Order. In: Ntalianis K., Croitoru A. (eds) Applied Physics, System Science and Computers II. APSAC 2017. Lecture Notes in Electrical Engineering, vol 489. Springer, Cham. https://doi.org/10.1007/978-3-319-75605-9_6; 2nd International Conference on Applied Physics, System Science and Computers, APSAC2017 ; Conference date: 27-09-2017 Through 29-09-2017",
year = "2019",
month = jan,
day = "1",
doi = "10.1007/978-3-319-75605-9_6",
language = "English",
isbn = "978-3-319-75604-2",
series = "LNEE",
publisher = "Springer Nature",
pages = "39--46",
editor = "Ntalianis, {Klimis } and Croitoru, {Anca }",
booktitle = "Applied Physics, System Science and Computers II",
address = "Germany",

}

RIS

TY - GEN

T1 - Errors of approximation with polynomial splines of the fifth order

AU - Burova, I. G.

AU - Doronina, A. G.

N1 - Burova I.G., Doronina A.G. (2019) Errors of Approximation with Polynomial Splines of the Fifth Order. In: Ntalianis K., Croitoru A. (eds) Applied Physics, System Science and Computers II. APSAC 2017. Lecture Notes in Electrical Engineering, vol 489. Springer, Cham. https://doi.org/10.1007/978-3-319-75605-9_6

PY - 2019/1/1

Y1 - 2019/1/1

N2 - This paper is a continuation of a series of papers devoted to the construction and investigation of the properties of integro-differential polynomial splines of the fifth order. It is supposed that values of function in grid nodes and values of integrals over intervals are known. Solving the system of linear algebraic equations, we find basic splines. An approximation of the function in this paper is constructed on every grid interval separately using values of the function in two adjacent grid nodes and the values of three integrals over intervals, and basic splines. We call this approximation an integro-differential spline and we call these basic splines integro-differential basic splines. The properties of interpolation with integro-differential polynomial basic splines are investigated. A comparison of the properties of integro-differential approximations for a different choice of integrals is presented. A comparison of the integro-differential approximation with approximation using polynomial splines of the Lagrangian type is made. Numerical examples are presented.

AB - This paper is a continuation of a series of papers devoted to the construction and investigation of the properties of integro-differential polynomial splines of the fifth order. It is supposed that values of function in grid nodes and values of integrals over intervals are known. Solving the system of linear algebraic equations, we find basic splines. An approximation of the function in this paper is constructed on every grid interval separately using values of the function in two adjacent grid nodes and the values of three integrals over intervals, and basic splines. We call this approximation an integro-differential spline and we call these basic splines integro-differential basic splines. The properties of interpolation with integro-differential polynomial basic splines are investigated. A comparison of the properties of integro-differential approximations for a different choice of integrals is presented. A comparison of the integro-differential approximation with approximation using polynomial splines of the Lagrangian type is made. Numerical examples are presented.

KW - Approximation

KW - Integro-differential splines

UR - http://www.scopus.com/inward/record.url?scp=85049316320&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-75605-9_6

DO - 10.1007/978-3-319-75605-9_6

M3 - Conference contribution

SN - 978-3-319-75604-2

T3 - LNEE

SP - 39

EP - 46

BT - Applied Physics, System Science and Computers II

A2 - Ntalianis, Klimis

A2 - Croitoru, Anca

PB - Springer Nature

T2 - 2nd International Conference on Applied Physics, System Science and Computers

Y2 - 27 September 2017 through 29 September 2017

ER -

ID: 61325742