6533b86efe1ef96bd12cc747

RESEARCH PRODUCT

Zur numerischen Lösung gewöhnlicher Differential-gleichungen mit Splines in einem Sonderfall

R. LeisH. N. Mülthei

subject

Spline (mathematics)General MathematicsOrdinary differential equationMathematical analysisGeneral EngineeringInitial value problemSpecial caseMathematics

description

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].

https://doi.org/10.1002/mma.1670020405