Displaying similar documents to “Richardson Extrapolation combined with the sequential splitting procedure and the θ-method”

The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF

R. I. Okuonghae, M. N. O. Ikhile (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A ( α ) -stable for step length k ≤ 7 .

A ( α )-Stable Linear Multistep Methods for Stiff IVPs in ODEs

R. I. Okuonghae, M. N. O. Ikhile (2011)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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In this paper, a class of A( α )-stable linear multistep formulas for stiff initial value problems (IVPs) in ordinary differential equations (ODEs) is developed. The boundary locus of the methods shows that the schemes are A-stable for step number k ≤ 3 and stiffly stable for k = 4 , 5 and 6 . Some numerical results are reported to illustrate the method.

A -stable methods of high order for Volterra integral equations

Ľubor Malina (1975)

Aplikace matematiky

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Method for numerical solution of Volterra integral equations, based on the O.I.M. methods, is suggested. It is known that the class of O.I.M. methods includes A -stable methods of arbitrary high order of asymptotic accuracy. In part 5, it is proved that these methods generate methods for numerical solution of Volterra equations which are also A -stable and of an arbitrarily high order. There is one advantage of the methods. Namely, they need no matrix inversion in the course of their numerical...