$A$-stable methods of high order for Volterra integral equations

Ľubor Malina

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Displaying similar documents to “ $A$ -stable methods of high order for Volterra integral equations”

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 $k \leq 3$ and stiffly stable for $k = 4, 5$ and $6$ . Some numerical results are reported to illustrate the method.

Some new methods for numerical solution of initial value problems

Práger, Milan, Taufer, Jiří, Vitásek, Emil

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Stability of numerical processes

Práger, M., Vitásek, E.

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Displaying similar documents to “ A -stable methods of high order for Volterra integral equations”

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

Some new methods for numerical solution of initial value problems

Stability of numerical processes

Displaying similar documents to “ $A$ -stable methods of high order for Volterra integral equations”

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