Some new methods for numerical solution of initial value problems
Práger, Milan, Taufer, Jiří, Vitásek, Emil
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Displaying similar documents to “-stability and numerical solution of abstract differential equations”
Some new methods for numerical solution of initial value problems
Overimplicit methods for the solution of evolution problems
Milan Práger, Jiří Taufer, Emil Vitásek (1974)
Acta Universitatis Carolinae. Mathematica et Physica
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-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 -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 -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...
Uniform stability of linear multistep methods in Galerkin procedures for parabolic problems.
Gekeler, Eckart (1979)
International Journal of Mathematics and Mathematical Sciences
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A ()-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()-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 and stiffly stable for and . Some numerical results are reported to illustrate the method.