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pro vyhledávání: '"Homeier, Herbert H. H."'
Autor:
Homeier, Herbert H. H.
Publikováno v:
International Scholarly Research Notices, vol. 2011, Article ID 958968, 7 pages, 2011
It is described how the Hermite-Pad\'e polynomials corresponding to an algebraic approximant for a power series may be used to predict coefficients of the power series that have not been used to compute the Hermite-Pad\'e polynomials. A recursive alg
Externí odkaz:
http://arxiv.org/abs/1107.2406
Autor:
Homeier, Herbert H. H.
Publikováno v:
Acta Appl. Math. 61, 133-147 (2000)
We discuss certain special cases of algebraic approximants that are given as zeroes of so-called "effective characteristic polynomials" and their generalization to a multiseries setting. These approximants are useful for the convergence acceleration
Externí odkaz:
http://arxiv.org/abs/physics/0212086
Autor:
Homeier, Herbert H. H.
Publikováno v:
J. Comp. Appl. Math. 122, 81-147 (2000)
Sequence transformations are important tools for the convergence acceleration of slowly convergent scalar sequences or series and for the summation of divergent series. Transformations that depend not only on the sequence elements or partial sums $s_
Externí odkaz:
http://arxiv.org/abs/math/0005209
Publikováno v:
Chemical Physics Letters, Volume 316, Issue 3-4, 14 January 2000, Pages 280-284
The dynamics of spin-lattice relaxation (slr) of metal-organic Pt(II) compounds is studied. Often, such systems are characterized by pronounced zero-field splittings (zfs) of the lowest-lying triplets. Previous expressions for the Orbach slr process
Externí odkaz:
http://arxiv.org/abs/physics/9911076
Autor:
Homeier, Herbert H. H.
Publikováno v:
J. Mol. Struct. (Theochem) 419, 29 (1997)
Estimators $\Pi n$ for the correlation energy can be computed as roots of effective characteristic polynomials of degree $n$. The coefficients of these polynomials are derived from the terms of the perturbation series of the energy. From a fourth-ord
Externí odkaz:
http://arxiv.org/abs/physics/9704004
Autor:
Homeier, Herbert H. H.
Publikováno v:
J. Mol. Struct. (Theochem) 366 (1996) 161
Some methods for the convergence acceleration of the M{\o}ller-Plesset perturbation series for the correlation energy are discussed. The order-by-order summation is less effective than the Feenberg series. The latter is obtained by renormalizing the
Externí odkaz:
http://arxiv.org/abs/chem-ph/9603001
Iterative Solution of the Ornstein-Zernike Equation with Various Closures Using Vector Extrapolation
The solution of the Ornstein-Zernike equation with various closure approximations is studied. This problem is rewritten as an integral equation that can be solved iteratively on a grid. The convergence of the fixed point iterations is relatively slow
Externí odkaz:
http://arxiv.org/abs/chem-ph/9509001
Akademický článek
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Akademický článek
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Publikováno v:
Mathematical Methods in the Applied Sciences; Mar2021, Vol. 44 Issue 5, p3840-3856, 17p
