6533b7d3fe1ef96bd125fe9e
RESEARCH PRODUCT
Splineapproximationen von beliebigem Defekt zur numerischen L�sung gew�hnlicher Differentialgleichungen. Teil III
Heinrich N. Mültheisubject
Computational MathematicsSpline (mathematics)Approximations of πApplied MathematicsNumerical analysisOrdinary differential equationMathematical analysisDivergence theoremInitial value problemDegree of a polynomialMathematicsdescription
In the first part [5] a general procedure is presented to obtain polynomial spline approximations of arbitrary defect for the solution of the initial value problem of ordinary differential equations. The essential result is a divergence theorem in dependence of the polynomial degree and the defect of the spline functions. In this second part the convergent procedures are investigated and two convergence theorems are proved. Furthermore the question is treated, whether the convergent procedures are appropriate for the numerical solution of stiff equations. The paper is finished by a convergence theorem for a procedure producing spline approximations in a natural way by the discrete approximations of an arbitrary difference method.
year | journal | country | edition | language |
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1980-06-01 | Numerische Mathematik |