AbstractThis paper introduces stabilization techniques for intrinsically unstable, high accuracy rational approximation methods for strongly continuous semigroup. The methods not only stabilize the approximations, but improve their speed of convergence by a magnitude of up to 1/2
We show that for all q ≥ 1 and 1 ≤ i ≤ q there exist pairwise conjugate complex numbers bq;i and q;i...
We prove that for a strongly continuous semigroup T on the Frechet space omega of all scalar sequenc...
This paper contains two new characterizations of generators of analytic semigroups of linear operato...
This paper introduces stabilization techniques for intrinsically unstable, high accuracy rational ap...
AbstractThis paper introduces stabilization techniques for intrinsically unstable, high accuracy rat...
In this work we discuss consistency, stability and convergence of rational approximation methods for...
In this work we analyze error estimates for rational approximation methods, and their stabilizations...
AbstractWe consider a multistep rational approximation of a bounded, strongly continuous semigroup o...
The computational powers of Mathematica are used to prove polynomial identities that are essential t...
In this dissertation we study time and space discretization methods for approximating solutions of a...
summary:Recently, we have developed the necessary and sufficient conditions under which a rational f...
In this work we consider the powers T of a linear bounded operator T and strongly continuous operato...
Consider the classical solutions of the abstract approximate problems x'n(t) = Anxn(t), t ...
AbstractLetAbe a closed linear operator on a complex Banach spaceXand let λ∈ϱ(A) be a fixed element ...
summary:The methods of arbitrarily high orders of accuracy for the solution of an abstract ordinary ...
We show that for all q ≥ 1 and 1 ≤ i ≤ q there exist pairwise conjugate complex numbers bq;i and q;i...
We prove that for a strongly continuous semigroup T on the Frechet space omega of all scalar sequenc...
This paper contains two new characterizations of generators of analytic semigroups of linear operato...
This paper introduces stabilization techniques for intrinsically unstable, high accuracy rational ap...
AbstractThis paper introduces stabilization techniques for intrinsically unstable, high accuracy rat...
In this work we discuss consistency, stability and convergence of rational approximation methods for...
In this work we analyze error estimates for rational approximation methods, and their stabilizations...
AbstractWe consider a multistep rational approximation of a bounded, strongly continuous semigroup o...
The computational powers of Mathematica are used to prove polynomial identities that are essential t...
In this dissertation we study time and space discretization methods for approximating solutions of a...
summary:Recently, we have developed the necessary and sufficient conditions under which a rational f...
In this work we consider the powers T of a linear bounded operator T and strongly continuous operato...
Consider the classical solutions of the abstract approximate problems x'n(t) = Anxn(t), t ...
AbstractLetAbe a closed linear operator on a complex Banach spaceXand let λ∈ϱ(A) be a fixed element ...
summary:The methods of arbitrarily high orders of accuracy for the solution of an abstract ordinary ...
We show that for all q ≥ 1 and 1 ≤ i ≤ q there exist pairwise conjugate complex numbers bq;i and q;i...
We prove that for a strongly continuous semigroup T on the Frechet space omega of all scalar sequenc...
This paper contains two new characterizations of generators of analytic semigroups of linear operato...
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