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An algebraic characterization ofB-convergent Runge-Kutta methods (1989)

Hundsdorfer, Willem H. ; Schneid, Josef

Springer

Numerische Mathematik 56 (1989), S. 695-705

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ISSN: 0945-3245

Keywords: AMS(MOS): 65L05 ; CR: G1.7

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary In the analysis of discretization methods for stiff intial value problems, stability questions have received most part of the attention in the past.B-stability and the equivalent criterion algebraic stability are well known concepts for Runge-Kutta methods applied to dissipative problems. However, for the derivation ofB-convergence results — error bounds which are not affected by stiffness — it is not sufficient in many cases to requireB-stability alone. In this paper, necessary and sufficient conditions forB-convergence are determined.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01405197

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