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Diagonally implicit general linear methods for ordinary differential equations (1993)

Butcher, J. C. ; Jackiewicz, Z.

Springer

BIT 33 (1993), S. 452-472

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Details

ISSN: 1572-9125

Schlagwort(e): AMS(MOS) ; 65L05 ; 65L07 ; General linear method ; order conditions ; stability analysis

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract We investigate some classes of general linear methods withs internal andr external approximations, with stage orderq and orderp, adjacent to the class withs=r=q=p considered by Butcher. We demonstrate that interesting methods exist also ifs+1=r=q, p=q orq+1,s=r+1=q, p=q orq+1, ands=r=q, p=q+1. Examples of such methods are constructed with stability function matching theA-acceptable generalized Padé approximations to the exponential function.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01990528

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