TY - JOUR
T1 - Regularity properties of Runge-Kutta methods for delay differential equations
AU - Jackiewicz, Zdzislaw
AU - Vermiglio, R.
AU - Zennaro, M.
N1 - Funding Information:
under grant NSF DMS-9208048 and
Funding Information:
* Corresponding author. E-mail: jackiewi@math.la.asu.edu. ’ The work of this author was partially supported by the National Science Foundation by the Italian Government. *The work of this author was supported by the Italian M.U.R.S.T., funds 40%.
PY - 1997/8
Y1 - 1997/8
N2 - Conditions are investigated which guarantee that Runge-Kutta methods preserve the asymptotic values of systems of delay differential equations. Such methods are said to be strongly regular. A constructive test for strong regularity is derived and examples of such methods are presented for s = p = 2 and s = p = 3, where s is the number of stages and p is the order of the method.
AB - Conditions are investigated which guarantee that Runge-Kutta methods preserve the asymptotic values of systems of delay differential equations. Such methods are said to be strongly regular. A constructive test for strong regularity is derived and examples of such methods are presented for s = p = 2 and s = p = 3, where s is the number of stages and p is the order of the method.
KW - Asymptotic values
KW - Delay differential equation
KW - Runge-kutta method
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U2 - 10.1016/S0168-9274(97)00025-1
DO - 10.1016/S0168-9274(97)00025-1
M3 - Article
AN - SCOPUS:0031212859
SN - 0168-9274
VL - 24
SP - 265
EP - 278
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
IS - 2-3
ER -