Journal of Operator Theory

Volume 32, Issue 2, Fall 1994 pp. 331-352.

Continuous and discrete semigroups approximations with applications to the Cauchy problem

Authors: Nazar H. Abdelaziz (1) and Paul R. Chernoff (2)
Author institution:(1) Department of Mathematics, University of California at Berkeley, CA 94730, U.S.A.
(2) Department of Mathematics, University of California at Berkeley, CA 94730, U.S.A.

Summary: In this paper we carry on further study of the problem of approximation of semigroups for both the continuous and the discrete cases which were considered in ([1], [2]). These problems arise naturally when one considers the question of numerical solutions of linear Cauchy problems.

Keywords: Semigroups, Linear operators, Approximation, Cauchy problem.

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