Title of article
A nonlinear optimization approach to the construction of general linear methods of high order
Author/Authors
Butcher، نويسنده , , J.C. and Jackiewicz، نويسنده , , Z. and Mittelmann، نويسنده , , H.D.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1997
Pages
16
From page
181
To page
196
Abstract
We describe the construction of diagonally implicit multistage integration methods of order and stage order p = q = 7 and p = q = 8 for ordinary differential equations. These methods were obtained using state-of-the-art optimization methods, particularly variable-model trust-region least-squares algorithms.
Keywords
Least-squares minimization , L-stability , General linear method , Ordinary differential equation , A-stability
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1997
Journal title
Journal of Computational and Applied Mathematics
Record number
1548090
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