TY - JOUR
T1 - Nordsieck representation of two-step Runge-Kutta methods for ordinary differential equations
AU - Bartoszewski, Z.
AU - Jackiewicz, Zdzislaw
N1 - Funding Information:
* Corresponding author. E-mail addresses: zbart@mif.pg.gda.pl (Z. Bartoszewski), jackiewi@math.la.asu.edu (Z. Jackiewicz). 1 The work of this author was partially supported by the National Science Foundation under grant NSF DMS-9971164.
PY - 2005/5
Y1 - 2005/5
N2 - We describe a new representation of explicit two-step Runge-Kutta methods for ordinary differential equations. This representation makes it possible for the accurate and reliable estimation of local discretization error and facilitates the efficient implementation of these methods in a variable stepsize environment.
AB - We describe a new representation of explicit two-step Runge-Kutta methods for ordinary differential equations. This representation makes it possible for the accurate and reliable estimation of local discretization error and facilitates the efficient implementation of these methods in a variable stepsize environment.
KW - Error estimation and control
KW - Error propagation
KW - Nordsieck representation
KW - Two-step Runge-Kutta methods
UR - http://www.scopus.com/inward/record.url?scp=14844325318&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=14844325318&partnerID=8YFLogxK
U2 - 10.1016/j.apnum.2004.08.010
DO - 10.1016/j.apnum.2004.08.010
M3 - Article
AN - SCOPUS:14844325318
SN - 0168-9274
VL - 53
SP - 149
EP - 163
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
IS - 2-4
ER -