Abstract. We present formulations of the Trotter-Kato theorem for approx-imation of linear C0-semigroups which provide very useful framework when convergence of numerical approximations to solutions of PDEs are studied. Applicability of our results is demonstrated using a first order hyperbolic equa-tion, a wave equation and Stokes ’ equation as illustrative examples. 1
Until now, semigroup solution has been successful mainly for linear and mildly nonlinear initial val...
The theory of one parameter semigroups of bounded linear operators on Banach spaces has deep and far...
The aim of this paper is to examine the convergence of Trotter’s prod-uct formula when one of the C0...
AbstractWe extend the well known theorem on convergence and approximation of C0-semigroups due to H....
AbstractA quantitative version, based on modified K-functionals, of the classical Trotter's theorem ...
International audienceThe paper improves approximation theory based on the Trotter-Kato product form...
AbstractWe improve the quantitative estimate of the convergence in Trotter’s approximation theorem a...
We give a quantitative estimate of the convergence in Trotter's approximation theorem on the converg...
This paper concerns versions of the Trotter-Kato Theorem and the Chernoff Product Formula for C0-sem...
AbstractA semigroup {T(t); t > 0} of linear operators is called of growth order α ⩾ 0 if its norm be...
It is shown that for a certain class of the Kato functions the Trotter-Kato product formulae converg...
International audienceIt is shown that for a certain class of the Kato functions the Trotter-Kato pr...
We study some quantitative estimates of the convergence of the iterates of some Rogosinski type oper...
In this paper we prove Trotter-Kato approximation results and the Lie-Trotter product formula for lo...
AbstractWe extend the Trotter–Kato theorem on C0-semigroups to local convoluted semigroups on dual s...
Until now, semigroup solution has been successful mainly for linear and mildly nonlinear initial val...
The theory of one parameter semigroups of bounded linear operators on Banach spaces has deep and far...
The aim of this paper is to examine the convergence of Trotter’s prod-uct formula when one of the C0...
AbstractWe extend the well known theorem on convergence and approximation of C0-semigroups due to H....
AbstractA quantitative version, based on modified K-functionals, of the classical Trotter's theorem ...
International audienceThe paper improves approximation theory based on the Trotter-Kato product form...
AbstractWe improve the quantitative estimate of the convergence in Trotter’s approximation theorem a...
We give a quantitative estimate of the convergence in Trotter's approximation theorem on the converg...
This paper concerns versions of the Trotter-Kato Theorem and the Chernoff Product Formula for C0-sem...
AbstractA semigroup {T(t); t > 0} of linear operators is called of growth order α ⩾ 0 if its norm be...
It is shown that for a certain class of the Kato functions the Trotter-Kato product formulae converg...
International audienceIt is shown that for a certain class of the Kato functions the Trotter-Kato pr...
We study some quantitative estimates of the convergence of the iterates of some Rogosinski type oper...
In this paper we prove Trotter-Kato approximation results and the Lie-Trotter product formula for lo...
AbstractWe extend the Trotter–Kato theorem on C0-semigroups to local convoluted semigroups on dual s...
Until now, semigroup solution has been successful mainly for linear and mildly nonlinear initial val...
The theory of one parameter semigroups of bounded linear operators on Banach spaces has deep and far...
The aim of this paper is to examine the convergence of Trotter’s prod-uct formula when one of the C0...
DOI
Add to ORKG