TY - JOUR
T1 - On the relations between B2V Ms and Runge-Kutta collocation methods
AU - Aceto, L.
AU - Magherini, C.
PY - 2009/9/1
Y1 - 2009/9/1
N2 - The principal aim of this paper is a rigorous analysis of the relations between Block Boundary Value Methods (B2V Ms) with minimal blocksize defined over a suitable nonuniform finer mesh and well-known Runge-Kutta collocation methods. Moreover, a further aspect that will be briefly investigated is the construction of an extended finer mesh for building B2V Ms with nonminimal blocksize. Some advantages that may arise from the use of the so-obtained methods will be also discussed.
AB - The principal aim of this paper is a rigorous analysis of the relations between Block Boundary Value Methods (B2V Ms) with minimal blocksize defined over a suitable nonuniform finer mesh and well-known Runge-Kutta collocation methods. Moreover, a further aspect that will be briefly investigated is the construction of an extended finer mesh for building B2V Ms with nonminimal blocksize. Some advantages that may arise from the use of the so-obtained methods will be also discussed.
KW - Boundary value methods
KW - Linear multistep methods
KW - Runge-Kutta collocation methods
UR - http://www.scopus.com/inward/record.url?scp=67349084991&partnerID=8YFLogxK
U2 - 10.1016/j.cam.2009.01.018
DO - 10.1016/j.cam.2009.01.018
M3 - Article
SN - 0377-0427
VL - 231
SP - 11
EP - 23
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1
ER -