Add to ORKGThis 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. © 2007 Elsevier Inc. All rights reserved
In this work we consider the powers T of a linear bounded operator T and strongly continuous operato...
AbstractIn this work, strongly continuous semigroups of pseudocontractions are studied based on an i...
The paper improves approximation theory based on the Trotter–Kato product formulae. For self-adjoint...
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...
The computational powers of Mathematica are used to prove polynomial identities that are essential t...
AbstractWe consider a multistep rational approximation of a bounded, strongly continuous semigroup o...
In this dissertation we study time and space discretization methods for approximating solutions of a...
We show that for all q ≥ 1 and 1 ≤ i ≤ q there exist pairwise conjugate complex numbers bq;i and q;i...
Consider the classical solutions of the abstract approximate problems x'n(t) = Anxn(t), t ...
summary:The methods of arbitrarily high orders of accuracy for the solution of an abstract ordinary ...
AbstractThis paper extends the Hille–Phillips functional calculus and rational approximations result...
AbstractFor a general approximation process we formulate theorems concerning rates of convergence, i...
This paper contains two new characterizations of generators of analytic semigroups of linear operato...
In this work we consider the powers T of a linear bounded operator T and strongly continuous operato...
AbstractIn this work, strongly continuous semigroups of pseudocontractions are studied based on an i...
The paper improves approximation theory based on the Trotter–Kato product formulae. For self-adjoint...
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...
The computational powers of Mathematica are used to prove polynomial identities that are essential t...
AbstractWe consider a multistep rational approximation of a bounded, strongly continuous semigroup o...
In this dissertation we study time and space discretization methods for approximating solutions of a...
We show that for all q ≥ 1 and 1 ≤ i ≤ q there exist pairwise conjugate complex numbers bq;i and q;i...
Consider the classical solutions of the abstract approximate problems x'n(t) = Anxn(t), t ...
summary:The methods of arbitrarily high orders of accuracy for the solution of an abstract ordinary ...
AbstractThis paper extends the Hille–Phillips functional calculus and rational approximations result...
AbstractFor a general approximation process we formulate theorems concerning rates of convergence, i...
This paper contains two new characterizations of generators of analytic semigroups of linear operato...
In this work we consider the powers T of a linear bounded operator T and strongly continuous operato...
AbstractIn this work, strongly continuous semigroups of pseudocontractions are studied based on an i...
The paper improves approximation theory based on the Trotter–Kato product formulae. For self-adjoint...