From useful algorithms for slowly convergent series to physical predictions based on divergent perturbative expansions
This review is focused on the borderline region of theoretical physics and mathematics. First,
we describe numerical methods for the acceleration of the convergence of series. These …
we describe numerical methods for the acceleration of the convergence of series. These …
On the Higgs cross section at N3LO+ N3LL and its uncertainty
A bstract We consider the inclusive production of a Higgs boson in gluon-fusion and we
study the impact of threshold resummation at next-to-next-to-next-to-leading logarithmic …
study the impact of threshold resummation at next-to-next-to-next-to-leading logarithmic …
Extrapolation and rational approximation
Research in numerical approximation theory introduces one to many great mathematicians,
such as the already mentioned Hankel, Sylvester, Schweins, Aitken, Wynn, Rutishauser, de …
such as the already mentioned Hankel, Sylvester, Schweins, Aitken, Wynn, Rutishauser, de …
How well can we guess theoretical uncertainties?
A David, G Passarino - Physics Letters B, 2013 - Elsevier
The problem of estimating the effect of missing higher orders in perturbation theory is
analyzed with emphasis in the application to Higgs production in gluon–gluon fusion. Well …
analyzed with emphasis in the application to Higgs production in gluon–gluon fusion. Well …
[HTML][HTML] A rational approximation to< VV− AA> and its O (p6) low-energy constant
A rational approximation to <VV−AA> and its O(p6) low-energy constant - ScienceDirect Skip
to main contentSkip to article Elsevier logo Journals & Books Search RegisterSign in View …
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Summation of divergent power series by means of factorial series
EJ Weniger - Applied numerical mathematics, 2010 - Elsevier
Factorial series played a major role in Stirling's classic book Methodus Differentialis (1730),
but now only a few specialists still use them. This article wants to show that this neglect is …
but now only a few specialists still use them. This article wants to show that this neglect is …
The spherical tensor gradient operator
EJ Weniger - Collection of Czechoslovak chemical …, 2005 - cccc.uochb.cas.cz
The spherical tensor gradient operator Y lm (∇), which is obtained by replacing the
Cartesian components of r by the Cartesian components of∇ in the regular solid harmonic Y …
Cartesian components of r by the Cartesian components of∇ in the regular solid harmonic Y …
On the analyticity of Laguerre series
EJ Weniger - Journal of Physics A: Mathematical and Theoretical, 2008 - iopscience.iop.org
The transformation of a Laguerre series f (z)=∑∞ n= 0 λ (α) n L (α) n (z) to a power series f
(z)=∑∞ n= 0 γ nzn is discussed. Since many nonanalytic functions can be expanded in …
(z)=∑∞ n= 0 γ nzn is discussed. Since many nonanalytic functions can be expanded in …
Convergence acceleration algorithm via an equation related to the lattice Boussinesq equation
The molecule solution of an equation related to the lattice Boussinesq equation is derived
with the help of determinantal identities. It is shown that this equation can for certain …
with the help of determinantal identities. It is shown that this equation can for certain …
On the numerical evaluation of cuspoid diffraction catastrophes
R Borghi - JOSA A, 2008 - opg.optica.org
A simple computational approach is proposed for the evaluation of cuspoid diffraction
catastrophes, which are fundamental tools for the description of wave fields in proximity to …
catastrophes, which are fundamental tools for the description of wave fields in proximity to …