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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. ред. / Theodore E. Simos; Charalambos Tsitouras. American Institute of Physics, 2023. 070003 (AIP Conference Proceedings; Том 2849, № 1).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Еремин, АС & Зубахина, ТС 2023, P-stability of second order Runge–Kutta–Chebyshev methods for delay differential equations. в TE Simos & C Tsitouras (ред.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2021., 070003, AIP Conference Proceedings, № 1, Том. 2849, American Institute of Physics, 19th International Conference of Numerical Analysis and Applied Mathematics, Родос, Греция, 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. в T. E. Simos, & C. Tsitouras (Ред.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2021 [070003] (AIP Conference Proceedings; Том 2849, № 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. в Simos TE, Tsitouras C, Редакторы, 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. Редактор / 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