Fast and accurate method for summation of divergent series

被引：0

作者：

Fernández, FM ^{[1
]}

机构：

[1] Natl Univ La Plata, Fac Ciencias Exactas, Dept Quim,Ctr Quim Inorgan, CEQUINOR,CONICET, RA-1900 La Plata, Argentina

来源：

INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY | 2001年 / 81卷 / 04期

关键词：

D O I：

10.1002/1097-461X(2001)81:4<268::AID-QUA4>3.3.CO;2-N

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

We develop a particular case of algebraic approximants for the summation of divergent power series and for the continuation of such expansions beyond their radius of convergence. The calculation of bound states and resonances for one- and two-dimensional anharmonic oscillators, for a perturbed rigid rotor, and for the Zeeman and Stark effects in hydrogen shows that the present method is one of the most efficient ones for that purpose. (C) 2001 John Wiley & Sons, Inc.

引用

页码：268 / 279

页数：12

共 50 条

[41] MAXIMUM-ENTROPY SUMMATION OF DIVERGENT PERTURBATION-SERIES
BENDER, CM
MEAD, LR
PAPANICOLAOU, N
JOURNAL OF MATHEMATICAL PHYSICS, 1987, 28 (05) : 1016 - 1018
[42] Spectrally accurate fast summation for periodic Stokes potentials
Lindbo, Dag
Tornberg, Anna-Karin
JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 229 (23) : 8994 - 9010
[43] Accurate summation of the perturbation series for periodic eigenvalue problems
F.M. Fernández
C.G. Diaz
The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics, 2001, 15 : 41 - 46
[44] Accurate summation of the perturbation series for periodic eigenvalue problems
Fernández, FM
Diaz, CG
EUROPEAN PHYSICAL JOURNAL D, 2001, 15 (01): : 41 - 46
[45] SYMBOLIC COMPUTATION IN PHYSICS AND CHEMISTRY - APPLICATIONS OF THE INNER PROJECTION TECHNIQUE AND OF A NEW SUMMATION METHOD FOR DIVERGENT SERIES
CIZEK, J
VINETTE, F
WENIGER, EJ
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 1991, 40 : 209 - 223
[46] ON THE DERIVATION OF ITERATED SEQUENCE TRANSFORMATIONS FOR THE ACCELERATION OF CONVERGENCE AND THE SUMMATION OF DIVERGENT SERIES
WENIGER, EJ
COMPUTER PHYSICS COMMUNICATIONS, 1991, 64 (01) : 19 - 45
[47] ON THE SUMMATION OF DIVERGENT, TRUNCATED, AND UNDERSPECIFIED POWER SERIES VIA ASYMPTOTIC APPROXIMANTS
Barlow, N. S.
Stanton, C. R.
Hill, N.
Weinstein, S. J.
Cio, A. G.
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2017, 70 (01): : 21 - 48
[48] SUMMATION OF SERIES WITH WEAKLY DIVERGENT OR VERY SLIGHLY CONVERGENT POSITIVE TERMS
VERNOTTE, P
COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1969, 268 (21): : 1283 - &
[49] Summation by educated match: A new, powerful technique to sum divergent series
Alvarez, Gabriel
Silverstone, Harris
ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2018, 255
[50] ON THE SUMMATION OF SOME DIVERGENT HYPERGEOMETRIC-SERIES AND RELATED PERTURBATION EXPANSIONS
WENIGER, EJ
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1990, 32 (1-2) : 291 - 300

← 1 2 3 4 5 →