Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
Runge-Kutta methods for differential equations with distributed delays. / Eremin, A. S.
International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. ed. / T.E. Simos; Ch. Tsitouras. American Institute of Physics, 2019. 140003 (AIP Conference Proceedings; Vol. 2116, No. 1).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review
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TY - GEN
T1 - Runge-Kutta methods for differential equations with distributed delays
AU - Eremin, A. S.
PY - 2019/7/24
Y1 - 2019/7/24
N2 - An attempt to construct fast Runge-Kutta methods for delay differential equations with distributed delays is made. As a starting point functional continuous methods for general retarded functional differential equations are considered. New explicit methods of order three and four are constructed, which are more effective than functional continuous Runge-Kutta methods of the same order. Numerical tests confirm the convergence order of the new methods. Comparison to closely related Runge-Kutta methods for Volterra integro-differential equations is made.
AB - An attempt to construct fast Runge-Kutta methods for delay differential equations with distributed delays is made. As a starting point functional continuous methods for general retarded functional differential equations are considered. New explicit methods of order three and four are constructed, which are more effective than functional continuous Runge-Kutta methods of the same order. Numerical tests confirm the convergence order of the new methods. Comparison to closely related Runge-Kutta methods for Volterra integro-differential equations is made.
UR - http://www.scopus.com/inward/record.url?scp=85069956547&partnerID=8YFLogxK
UR - http://www.mendeley.com/research/rungekutta-methods-differential-equations-distributed-delays
U2 - 10.1063/1.5114130
DO - 10.1063/1.5114130
M3 - Conference contribution
AN - SCOPUS:85069956547
T3 - AIP Conference Proceedings
BT - International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
A2 - Simos, T.E.
A2 - Tsitouras, Ch.
PB - American Institute of Physics
T2 - 16th International Conference of Numerical Analysis and Applied Mathematics
Y2 - 13 September 2018 through 18 September 2018
ER -
ID: 45105778