Displaying similar documents to “Convergence of numerical methods for systems of neutral functional-differential-algebraic equations”

Generalized periodic overimplicit multistep methods (GPOM methods)

Hassan Nasr Ahmed Ismail (1979)

Aplikace matematiky

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The paper deals with some new methods for the numerical solution of initial value problems for ordinary differential equations. The main idea of these methods consists in the fact that in one step of the method a group of unknown values of the approximate solution is computed simultaneously. The class of methods under investigation is wide enough to contain almost all known classical methods. Sufficient conditions for convergence are found.

Positive partial realization problem for linear discrete-time systems

Tadeusz Kaczorek (2007)

International Journal of Applied Mathematics and Computer Science

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A partial realization problem for positive linear discrete-time systems is addressed. Sufficient conditions for the existence of its solution are established. A procedure for the computation of a positive partial realization for a given finite sequence of the values of the impulse response is proposed. The procedure is illustrated by four numerical examples.