TY - JOUR
T1 - A new approach to error estimation for general linear methods
AU - Butcher, J. C.
AU - Jackiewicz, Zdzislaw
PY - 2003/9/1
Y1 - 2003/9/1
N2 - We present a simple, accurate and reliable approach to the estimation of the local discretization error for general linear methods for ordinary differential equations. In this approach the input vector for the next step from xn to xn+1 = xn + h is rescaled and modified accordingly to compensate for the change of stepsize from h̄ to h = r/h̄.
AB - We present a simple, accurate and reliable approach to the estimation of the local discretization error for general linear methods for ordinary differential equations. In this approach the input vector for the next step from xn to xn+1 = xn + h is rescaled and modified accordingly to compensate for the change of stepsize from h̄ to h = r/h̄.
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U2 - 10.1007/s00211-002-0452-7
DO - 10.1007/s00211-002-0452-7
M3 - Article
AN - SCOPUS:0345060035
SN - 0029-599X
VL - 95
SP - 487
EP - 502
JO - Numerische Mathematik
JF - Numerische Mathematik
IS - 3
ER -