منابع مشابه
Scalar Levin-type Sequence Transformations
Sequence 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 { s ′ n} = T ({ sn} ) where each s ′ n depends on a finite number of elements sn1 , . . . , snm . Often, the sn are the partial sums of an infinite series...
متن کاملOn Remainder Estimates for Levin-type Sequence Transformations
Remainder estimates for Levin-type sequence transformations are discussed. A new remainder estimate is introduced which is related to the Kummer transformation. Test cases are presented which show that the new remainder estimate can enhance the performance of Levin-type sequence transformations considerably.
متن کاملOn Properties and the Application of Levin-type Sequence Transformations for the Convergence Acceleration of Fourier Series∗
We discuss Levin-type sequence transformations {sn} → {sn} that depend linearly on the sequence elements sn, and nonlinearly on an auxiliary sequence of remainder estimates {ωn}. If the remainder estimates also depend on the sequence elements, non-linear transformations are obtained. The application of such transformations very often yields new sequences that are more rapidly convergent in the ...
متن کاملOn descent for coalgebras and type transformations
We find a criterion for a morphism of coalgebras over a Barr-exact category to be effective descent and determine (effective) descent morphisms for coalgebras over toposes in some cases. Also, we study some exactness properties of endofunctors of arbitrary categories in connection with natural transformations between them as well as those of functors that these transformations induce between co...
متن کاملConformal transformations with multiple scalar fields
Citation Kaiser, David I. " Conformal transformations with multiple scalar fields. Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Many interesting models incorpor...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2000
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(00)00359-9