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