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P-stability of second order Runge–Kutta–Chebyshev methods for delay differential equations. / Еремин, Алексей Сергеевич; Зубахина, Татьяна Сергеевна.

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2021. ed. / Theodore E. Simos; Charalambos Tsitouras. American Institute of Physics, 2023. 070003 (AIP Conference Proceedings; Vol. 2849, No. 1).

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Harvard

Еремин, АС & Зубахина, ТС 2023, P-stability of second order Runge–Kutta–Chebyshev methods for delay differential equations. in TE Simos & C Tsitouras (eds), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2021., 070003, AIP Conference Proceedings, no. 1, vol. 2849, American Institute of Physics, 19th International Conference of Numerical Analysis and Applied Mathematics, Родос, Greece, 20/09/21. https://doi.org/10.1063/12.0019668

APA

Еремин, А. С., & Зубахина, Т. С. (2023). P-stability of second order Runge–Kutta–Chebyshev methods for delay differential equations. In T. E. Simos, & C. Tsitouras (Eds.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2021 [070003] (AIP Conference Proceedings; Vol. 2849, No. 1). American Institute of Physics. https://doi.org/10.1063/12.0019668

Vancouver

Еремин АС, Зубахина ТС. P-stability of second order Runge–Kutta–Chebyshev methods for delay differential equations. In Simos TE, Tsitouras C, editors, International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2021. American Institute of Physics. 2023. 070003. (AIP Conference Proceedings; 1). https://doi.org/10.1063/12.0019668

Author

Еремин, Алексей Сергеевич ; Зубахина, Татьяна Сергеевна. / P-stability of second order Runge–Kutta–Chebyshev methods for delay differential equations. International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2021. editor / Theodore E. Simos ; Charalambos Tsitouras. American Institute of Physics, 2023. (AIP Conference Proceedings; 1).

BibTeX

@inproceedings{bc327b135a0a480c8b9161cd1c66b8f7,
title = "P-stability of second order Runge–Kutta–Chebyshev methods for delay differential equations",
abstract = "Second order stabilized Runge–Kutta–Chebyshev methods (RKCs) are considered. Variants of their application to dis-crete delay differential equations (DDEs) are presented, namely reuse of stages rom previous steps, linear and quadratic interpola-tions. Linear stability analysis with real coefficients is made for all three variants. P-stability regions are plotted. Linear interpolation shows better stabiity properites than any quadratic (though the second being more accurate).",
author = "Еремин, {Алексей Сергеевич} and Зубахина, {Татьяна Сергеевна}",
year = "2023",
month = sep,
day = "1",
doi = "10.1063/12.0019668",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
number = "1",
editor = "{ Simos}, {Theodore E.} and Charalambos Tsitouras",
booktitle = "International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2021",
address = "United States",
note = "19th International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2021 ; Conference date: 20-09-2021 Through 26-09-2021",
url = "https://icnaam.org/",

}

RIS

TY - GEN

T1 - P-stability of second order Runge–Kutta–Chebyshev methods for delay differential equations

AU - Еремин, Алексей Сергеевич

AU - Зубахина, Татьяна Сергеевна

N1 - Conference code: 19

PY - 2023/9/1

Y1 - 2023/9/1

N2 - Second order stabilized Runge–Kutta–Chebyshev methods (RKCs) are considered. Variants of their application to dis-crete delay differential equations (DDEs) are presented, namely reuse of stages rom previous steps, linear and quadratic interpola-tions. Linear stability analysis with real coefficients is made for all three variants. P-stability regions are plotted. Linear interpolation shows better stabiity properites than any quadratic (though the second being more accurate).

AB - Second order stabilized Runge–Kutta–Chebyshev methods (RKCs) are considered. Variants of their application to dis-crete delay differential equations (DDEs) are presented, namely reuse of stages rom previous steps, linear and quadratic interpola-tions. Linear stability analysis with real coefficients is made for all three variants. P-stability regions are plotted. Linear interpolation shows better stabiity properites than any quadratic (though the second being more accurate).

U2 - 10.1063/12.0019668

DO - 10.1063/12.0019668

M3 - Conference contribution

T3 - AIP Conference Proceedings

BT - International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2021

A2 - Simos, Theodore E.

A2 - Tsitouras, Charalambos

PB - American Institute of Physics

T2 - 19th International Conference of Numerical Analysis and Applied Mathematics

Y2 - 20 September 2021 through 26 September 2021

ER -

ID: 117122050