Displaying similar documents to “Numerical calculations for some types of boundary value problems with unbounded domains”

Approximation of large-scale dynamical systems: an overview

Athanasios Antoulas, Dan Sorensen (2001)

International Journal of Applied Mathematics and Computer Science

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In this paper we review the state of affairs in the area of approximation of large-scale systems. We distinguish three basic categories, namely the SVD-based, the Krylov-based and the SVD-Krylov-based approximation methods. The first two were developed independently of each other and have distinct sets of attributes and drawbacks. The third approach seeks to combine the best attributes of the first two.

Some applications of the Pascal matrix to the study of numerical methods for differential equations

Lidia Aceto (2005)

Bollettino dell'Unione Matematica Italiana

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In this paper we introduce and analyze some relations between the Pascal matrix and a new class of numerical methods for differential equations obtained generalizing the Adams methods. In particular, we shall prove that these methods are suitable for solving stiff problems since their absolute stability regions contain the negative half complex plane.