منابع مشابه
Algorithms for asymptotic extrapolation
Consider a power series f ∈ R[[z]], which is obtained by a precise mathematical construction. For instance, f might be the solution to some differential or functional initial value problem or the diagonal of the solution to a partial differential equation. In cases when no suitable method is beforehand for determining the asymptotics of the coefficients fn, but when many such coefficients can b...
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Fukuko Yuasa High Energy Accelerator Research Organization (KEK) E-mail: [email protected] This paper describes applications of extrapolation for the computation of coefficients in an expansion of infrared divergent integrals. An extrapolation procedure is performed with respect to a parameter introduced by dimensional regularization. While this treats typical IR singularities at the boundari...
متن کاملRecursive Algorithms for Vector Extrapolation Methods
In this work we devise three classes of recursion relations that can be used for implementing some extrapolation methods for vector sequences. One class of recursion relations can be used to implement methods like the modified minimai polynomial extrapolation and the topological epsilon algorithm, another allows implementation of methods like minimal polynomial and reduced rank extrapolation, w...
متن کاملEfficient implementation of stable Richardson Extrapolation algorithms
Richardson Extrapolation is a powerful computational tool which can successfully be used in the efforts to improve the accuracy of the approximate solutions of systems of ordinary differential equations (ODEs) obtained by different numerical methods (including here combined numerical methods consisting of appropriately chosen splitting procedures and classical numerical methods). Some stability...
متن کاملThe Chiral Extrapolation of Strange Matrix Elements in the Nucleon
In current lattice simulations of nucleon properties, the up and down quark masses are significantly larger than their physical values, while the strange quark can be included in simulations with its physical mass. When the up and down quark masses are much smaller than the strange-quark mass the chiral extrapolation of strange-quark matrix elements in the nucleon from the lattice up and down q...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1997
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(97)81112-3