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Zur numerischen Lösung gewöhnlicher Differential‐gleichungen mit Splines in einem Sonderfall
Author(s) -
Mülthei H. N.,
Leis R.
Publication year - 1980
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670020405
Subject(s) - mathematics , ordinary differential equation , convergence (economics) , divergence (linguistics) , spline (mechanical) , mathematical analysis , differential equation , physics , linguistics , philosophy , economics , thermodynamics , economic growth
In an earlier paper [1] a general procedure has been presented to obtain polynomial spline approximations for the solution of the initial value problem for ordinary differential equations. In this paper the general procedure is described by an equivalent one step method. Furthermore two convergence theorems are proved for a special case which is not included in the general convergence or divergence theory given in [1].