AbstractSequence transformations are important tools for the convergence acceleration of slowly convergent scalar sequences or series and for the summation of divergent series. The basic idea is to construct from a given sequence {{sn}} a new sequence {{sn′}}=T({{sn}}) where each sn′ depends on a finite number of elements sn1,…,snm. Often, the sn are the partial sums of an infinite series. The aim is to find transformations such that {{sn′}} converges faster than (or sums) {{sn}}. Transformations T({{sn}},{{ωn}}) that depend not only on the sequence elements or partial sums sn but also on an auxiliary sequence of the so-called remainder estimates ωn are of Levin-type if they are linear in the sn, and nonlinear in the ωn. Such remainder esti...
This paper presents convergence acceleration, a method for computing efficiently the limit of numeri...
This Ph.D. thesis discusses some applications of extrapolation methods. In numerical analysis and in...
Levin sequence transformations [1] as generalized in [2], are useful tools for the summa-tion of slo...
AbstractSequence transformations are important tools for the convergence acceleration of slowly conv...
We discuss Levin-type sequence transformations fsng ! fs0 ng that depend linearly on the sequence el...
AbstractIn this paper, new procedures for the extrapolation to the limit of slowly convergent sequen...
AbstractQuite often in application, logarithmically convergent series have to be evaluated. There ar...
When a sequence or an iterative process is slowly converging, a convergence acceleration process has...
AbstractMany numerical methods produce sequences of vectors converging to the solution of a problem....
AbstractLogarithmic convergence of scalar sequences is generalized to vector sequences. Some sequenc...
We propose to map logarithmically converging sequences to linearly converging sequences using interp...
AbstractQuasi-linear functions generate sequence transformation methods whose conditioning depends u...
Introduction Slow convergence is a ubiquitous problem in numerical mathematics. Therefore, methods ...
AbstractIt is well known that a universal convergence acceleration method can be nonexistent even fo...
This paper presents a general framework for Shanks transformations of sequences of elements in a vec...
This paper presents convergence acceleration, a method for computing efficiently the limit of numeri...
This Ph.D. thesis discusses some applications of extrapolation methods. In numerical analysis and in...
Levin sequence transformations [1] as generalized in [2], are useful tools for the summa-tion of slo...
AbstractSequence transformations are important tools for the convergence acceleration of slowly conv...
We discuss Levin-type sequence transformations fsng ! fs0 ng that depend linearly on the sequence el...
AbstractIn this paper, new procedures for the extrapolation to the limit of slowly convergent sequen...
AbstractQuite often in application, logarithmically convergent series have to be evaluated. There ar...
When a sequence or an iterative process is slowly converging, a convergence acceleration process has...
AbstractMany numerical methods produce sequences of vectors converging to the solution of a problem....
AbstractLogarithmic convergence of scalar sequences is generalized to vector sequences. Some sequenc...
We propose to map logarithmically converging sequences to linearly converging sequences using interp...
AbstractQuasi-linear functions generate sequence transformation methods whose conditioning depends u...
Introduction Slow convergence is a ubiquitous problem in numerical mathematics. Therefore, methods ...
AbstractIt is well known that a universal convergence acceleration method can be nonexistent even fo...
This paper presents a general framework for Shanks transformations of sequences of elements in a vec...
This paper presents convergence acceleration, a method for computing efficiently the limit of numeri...
This Ph.D. thesis discusses some applications of extrapolation methods. In numerical analysis and in...
Levin sequence transformations [1] as generalized in [2], are useful tools for the summa-tion of slo...