Extrapolation of perturbation-theory expansions by self-similar approximants

The problem of extrapolating asymptotic perturbation-theory expansions in powers of a small variable to large values of the variable tending to infinity is investigated. The analysis is based on self-similar approximation theory. Several types of self-similar approximants are considered and their us...

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Veröffentlicht in:European journal of applied mathematics Jg. 25; H. 5; S. 595 - 628
Hauptverfasser: GLUZMAN, S., YUKALOV, V.I.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Cambridge, UK Cambridge University Press 01.10.2014
Schlagworte:
Applied mathematics
Approximants
Approximation
Asymptotic expansions
Asymptotic methods
Asymptotic properties
Extrapolation
Mathematical analysis
Self-similarity
Function-theoretic methods
Approximation with constraints
Functional analytic methods of summability
Approximation to limiting values
Approximation by arbitrary nonlinear expressions
ISSN:0956-7925, 1469-4425
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Abstract The problem of extrapolating asymptotic perturbation-theory expansions in powers of a small variable to large values of the variable tending to infinity is investigated. The analysis is based on self-similar approximation theory. Several types of self-similar approximants are considered and their use in different problems of applied mathematics is illustrated. Self-similar approximants are shown to constitute a powerful tool for extrapolating asymptotic expansions of different natures.
AbstractList The problem of extrapolating asymptotic perturbation-theory expansions in powers of a small variable to large values of the variable tending to infinity is investigated. The analysis is based on self-similar approximation theory. Several types of self-similar approximants are considered and their use in different problems of applied mathematics is illustrated. Self-similar approximants are shown to constitute a powerful tool for extrapolating asymptotic expansions of different natures. [PUBLICATION ABSTRACT]
The problem of extrapolating asymptotic perturbation-theory expansions in powers of a small variable to large values of the variable tending to infinity is investigated. The analysis is based on self-similar approximation theory. Several types of self-similar approximants are considered and their use in different problems of applied mathematics is illustrated. Self-similar approximants are shown to constitute a powerful tool for extrapolating asymptotic expansions of different natures.
Author YUKALOV, V.I.
GLUZMAN, S.
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  fullname: YUKALOV, V.I.
  email: simon.gluzman@gmail.com
  organization: Bogolubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna 141980, Russia emails: simon.gluzman@gmail.com, yukalov@theor.jinr.ru
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Cites_doi 10.1016/0378-4371(94)90324-7
10.1142/S0217979204026330
10.1103/PhysRevA.42.3324
10.1063/1.452586
10.1006/aphy.1996.0107
10.1103/PhysRev.106.1135
10.1134/S1054660X09010010
10.1016/0370-1573(78)90097-2
10.1103/PhysRev.155.114
10.1016/S0960-0779(02)00029-2
10.1103/PhysRevE.58.1359
10.1103/PhysRevD.30.1256
10.1017/CBO9780511802850
10.1063/1.529849
10.1016/S0375-9601(99)00289-3
10.1103/PhysRevE.64.066113
10.1103/PhysRevE.73.011101
10.1142/6223
10.1090/S0002-9904-1939-07110-3
10.1016/0378-4371(90)90294-3
10.1016/j.physa.2004.11.003
10.1143/JPSJ.38.181
10.1103/PhysRevE.58.4197
10.1016/0378-4371(93)90241-U
10.1007/978-1-4612-6400-2
10.1007/s10910-010-9716-0
10.1080/00018739700101488
10.1103/PhysRevE.71.026131
10.1103/PhysRevA.70.053614
10.1103/PhysRev.130.1605
10.1006/aphy.1999.5953
10.1063/1.446611
10.1002/pssb.2221550114
10.1063/1.530577
10.1103/PhysRevA.58.96
10.1209/0295-5075/16/7/003
10.1016/0378-4371(95)00471-8
10.1103/PhysRevE.66.061102
10.1103/PhysRevLett.87.120401
10.1017/CBO9780511530074
10.1103/PhysRevLett.75.2787
10.1007/BF01409957
10.1103/PhysRevA.69.043613
10.1016/0375-9601(93)90246-V
10.1007/BF01028917
10.1007/BF02178552
10.1007/BF00913182
10.1103/PhysRevE.67.026109
10.1209/0295-5075/9/1/011
10.1007/s10910-005-9003-7
10.1016/S0378-4371(03)00549-1
10.1143/JPSJ.41.747
10.1088/0370-1328/85/4/301
10.1090/S0273-0979-1991-16020-9
10.1063/1.457911
10.1103/PhysRevLett.87.160601
10.21236/AD0055660
10.1063/1.529320
10.1103/PhysRevB.49.13201
10.1103/PhysRevLett.93.200404
10.1103/RevModPhys.83.247
10.1080/00268970903250562
10.1090/S0002-9939-01-06001-4
10.1016/j.physleta.2007.04.028
10.1103/PhysRevA.70.043621
10.1103/PhysRevLett.91.050401
10.1134/S1063779611030063
10.1103/PhysRevLett.87.120402
10.1103/PhysRevC.60.054311
10.1103/PhysRevA.9.2178
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DocumentTitleAlternate Extrapolation of perturbation-theory expansions by self-similar approximants
S. Gluzman and V. I. Yukalov
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Keywords Function-theoretic methods
Approximation with constraints
Functional analytic methods of summability
Approximation to limiting values
Approximation by arbitrary nonlinear expressions
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References S0956792514000163_ref80
S0956792514000163_ref49
S0956792514000163_ref46
S0956792514000163_ref47
S0956792514000163_ref48
Yukalov (S0956792514000163_ref66) 1976; 51
S0956792514000163_ref85
S0956792514000163_ref41
S0956792514000163_ref42
S0956792514000163_ref44
S0956792514000163_ref81
S0956792514000163_ref82
S0956792514000163_ref83
S0956792514000163_ref40
S0956792514000163_ref84
Hardy (S0956792514000163_ref23) 1949
Landau (S0956792514000163_ref45) 2000
Kochetov (S0956792514000163_ref43) 1982; 13
S0956792514000163_ref17
Bogolubov (S0956792514000163_ref9) 1967
S0956792514000163_ref18
S0956792514000163_ref19
S0956792514000163_ref12
S0956792514000163_ref56
S0956792514000163_ref57
S0956792514000163_ref13
S0956792514000163_ref58
S0956792514000163_ref59
S0956792514000163_ref15
S0956792514000163_ref52
S0956792514000163_ref53
S0956792514000163_ref54
Nayfeh (S0956792514000163_ref55) 1973
S0956792514000163_ref50
S0956792514000163_ref51
Bogolubov (S0956792514000163_ref7) 1949
S0956792514000163_ref27
S0956792514000163_ref28
S0956792514000163_ref29
S0956792514000163_ref67
S0956792514000163_ref24
S0956792514000163_ref68
S0956792514000163_ref69
S0956792514000163_ref25
Ketterle (S0956792514000163_ref38) 2008; 31
S0956792514000163_ref2
S0956792514000163_ref63
S0956792514000163_ref1
S0956792514000163_ref64
S0956792514000163_ref20
S0956792514000163_ref21
S0956792514000163_ref65
S0956792514000163_ref22
Erdélyi (S0956792514000163_ref16) 1955
S0956792514000163_ref6
S0956792514000163_ref5
Kastening (S0956792514000163_ref34) 2004; 14
S0956792514000163_ref61
S0956792514000163_ref4
S0956792514000163_ref62
S0956792514000163_ref3
Hulthen (S0956792514000163_ref26) 1938; 26
Doi (S0956792514000163_ref14) 2001
Bogolubov (S0956792514000163_ref8) 1963
S0956792514000163_ref39
S0956792514000163_ref78
S0956792514000163_ref79
S0956792514000163_ref35
S0956792514000163_ref36
S0956792514000163_ref37
Bogolubov (S0956792514000163_ref11) 1961
S0956792514000163_ref30
S0956792514000163_ref74
S0956792514000163_ref75
Puiseux (S0956792514000163_ref60) 1850; 15
S0956792514000163_ref31
S0956792514000163_ref76
S0956792514000163_ref32
Bogolubov (S0956792514000163_ref10) 1970
S0956792514000163_ref33
S0956792514000163_ref77
S0956792514000163_ref70
S0956792514000163_ref71
S0956792514000163_ref72
S0956792514000163_ref73
References_xml – ident: S0956792514000163_ref79
  doi: 10.1016/0378-4371(94)90324-7
– ident: S0956792514000163_ref75
  doi: 10.1142/S0217979204026330
– ident: S0956792514000163_ref68
  doi: 10.1103/PhysRevA.42.3324
– ident: S0956792514000163_ref54
  doi: 10.1063/1.452586
– ident: S0956792514000163_ref37
  doi: 10.1006/aphy.1996.0107
– ident: S0956792514000163_ref46
  doi: 10.1103/PhysRev.106.1135
– ident: S0956792514000163_ref72
  doi: 10.1134/S1054660X09010010
– volume: 14
  start-page: 586
  year: 2004
  ident: S0956792514000163_ref34
  article-title: Shift of BEC temperature of homogenous weakly interacting Bose gas.
  publication-title: Laser Phys.
– ident: S0956792514000163_ref24
  doi: 10.1016/0370-1573(78)90097-2
– ident: S0956792514000163_ref13
  doi: 10.1103/PhysRev.155.114
– volume-title: Asymptotic Methods in the Theory of Nonlinear Oscillations
  year: 1961
  ident: S0956792514000163_ref11
– ident: S0956792514000163_ref82
  doi: 10.1016/S0960-0779(02)00029-2
– ident: S0956792514000163_ref74
  doi: 10.1103/PhysRevE.58.1359
– ident: S0956792514000163_ref25
  doi: 10.1103/PhysRevD.30.1256
– ident: S0956792514000163_ref57
  doi: 10.1017/CBO9780511802850
– ident: S0956792514000163_ref71
  doi: 10.1063/1.529849
– ident: S0956792514000163_ref40
  doi: 10.1016/S0375-9601(99)00289-3
– ident: S0956792514000163_ref2
  doi: 10.1103/PhysRevE.64.066113
– ident: S0956792514000163_ref35
  doi: 10.1103/PhysRevE.73.011101
– volume-title: Lectures on Quantum Statistics
  year: 1967
  ident: S0956792514000163_ref9
– ident: S0956792514000163_ref41
  doi: 10.1142/6223
– ident: S0956792514000163_ref49
  doi: 10.1090/S0002-9904-1939-07110-3
– volume-title: The Theory of Polymer Dynamics
  year: 2001
  ident: S0956792514000163_ref14
– ident: S0956792514000163_ref69
  doi: 10.1016/0378-4371(90)90294-3
– ident: S0956792514000163_ref58
  doi: 10.1016/j.physa.2004.11.003
– ident: S0956792514000163_ref51
  doi: 10.1143/JPSJ.38.181
– ident: S0956792514000163_ref18
  doi: 10.1103/PhysRevE.58.4197
– ident: S0956792514000163_ref78
  doi: 10.1016/0378-4371(93)90241-U
– ident: S0956792514000163_ref17
  doi: 10.1007/978-1-4612-6400-2
– volume-title: Perturbation Methods
  year: 1973
  ident: S0956792514000163_ref55
– ident: S0956792514000163_ref20
  doi: 10.1007/s10910-010-9716-0
– ident: S0956792514000163_ref62
  doi: 10.1080/00018739700101488
– volume-title: Lectures on Quantum Statistics
  year: 1949
  ident: S0956792514000163_ref7
– volume-title: Statistical Physics
  year: 2000
  ident: S0956792514000163_ref45
– ident: S0956792514000163_ref42
  doi: 10.1103/PhysRevE.71.026131
– ident: S0956792514000163_ref56
  doi: 10.1103/PhysRevA.70.053614
– ident: S0956792514000163_ref48
  doi: 10.1103/PhysRev.130.1605
– ident: S0956792514000163_ref81
  doi: 10.1006/aphy.1999.5953
– ident: S0956792514000163_ref53
  doi: 10.1063/1.446611
– ident: S0956792514000163_ref63
  doi: 10.1002/pssb.2221550114
– ident: S0956792514000163_ref6
  doi: 10.1063/1.530577
– volume: 51
  start-page: 10
  year: 1976
  ident: S0956792514000163_ref66
  article-title: Theory of perturbations with a strong interaction.
  publication-title: Moscow Univ. Phys. Bull.
– ident: S0956792514000163_ref84
  doi: 10.1103/PhysRevA.58.96
– ident: S0956792514000163_ref50
  doi: 10.1209/0295-5075/16/7/003
– ident: S0956792514000163_ref80
  doi: 10.1016/0378-4371(95)00471-8
– ident: S0956792514000163_ref31
  doi: 10.1103/PhysRevE.66.061102
– ident: S0956792514000163_ref1
  doi: 10.1103/PhysRevLett.87.120401
– ident: S0956792514000163_ref5
  doi: 10.1017/CBO9780511530074
– ident: S0956792514000163_ref27
  doi: 10.1103/PhysRevLett.75.2787
– ident: S0956792514000163_ref61
  doi: 10.1007/BF01409957
– ident: S0956792514000163_ref32
  doi: 10.1103/PhysRevA.69.043613
– ident: S0956792514000163_ref39
  doi: 10.1016/0375-9601(93)90246-V
– ident: S0956792514000163_ref67
  doi: 10.1007/BF01028917
– ident: S0956792514000163_ref47
  doi: 10.1007/BF02178552
– ident: S0956792514000163_ref85
  doi: 10.1007/BF00913182
– ident: S0956792514000163_ref21
  doi: 10.1103/PhysRevE.67.026109
– ident: S0956792514000163_ref22
  doi: 10.1209/0295-5075/9/1/011
– ident: S0956792514000163_ref19
  doi: 10.1007/s10910-005-9003-7
– ident: S0956792514000163_ref77
  doi: 10.1016/S0378-4371(03)00549-1
– ident: S0956792514000163_ref52
  doi: 10.1143/JPSJ.41.747
– volume-title: Lectures on Quantum Statistics
  year: 1970
  ident: S0956792514000163_ref10
– ident: S0956792514000163_ref15
  doi: 10.1088/0370-1328/85/4/301
– ident: S0956792514000163_ref64
  doi: 10.1090/S0273-0979-1991-16020-9
– volume: 26
  start-page: N11
  year: 1938
  ident: S0956792514000163_ref26
  article-title: Über das austauschproblem eines kristalls
  publication-title: Ark. Mat. Astron. Fys. A
– ident: S0956792514000163_ref44
  doi: 10.1063/1.457911
– ident: S0956792514000163_ref59
  doi: 10.1103/PhysRevLett.87.160601
– volume-title: On the Problem of Hydrodynamics of Superfluid
  year: 1963
  ident: S0956792514000163_ref8
– volume-title: Asymptotic Expansions
  year: 1955
  ident: S0956792514000163_ref16
  doi: 10.21236/AD0055660
– ident: S0956792514000163_ref70
  doi: 10.1063/1.529320
– ident: S0956792514000163_ref65
  doi: 10.1103/PhysRevB.49.13201
– ident: S0956792514000163_ref3
  doi: 10.1103/PhysRevLett.93.200404
– ident: S0956792514000163_ref29
  doi: 10.1103/RevModPhys.83.247
– volume: 13
  start-page: 264
  year: 1982
  ident: S0956792514000163_ref43
  article-title: Functional variational approach to polaron models.
  publication-title: Phys. Part. Nucl.
– volume-title: Divergent Series
  year: 1949
  ident: S0956792514000163_ref23
– ident: S0956792514000163_ref76
  doi: 10.1080/00268970903250562
– volume: 31
  start-page: 247
  year: 2008
  ident: S0956792514000163_ref38
  article-title: Making, probing and understanding ultracold Fermi gases.
  publication-title: Riv. Nuovo Cimento
– ident: S0956792514000163_ref36
  doi: 10.1090/S0002-9939-01-06001-4
– ident: S0956792514000163_ref83
  doi: 10.1016/j.physleta.2007.04.028
– volume: 15
  start-page: 365
  year: 1850
  ident: S0956792514000163_ref60
  article-title: Recherches sur les fonctions algébriques.
  publication-title: J. Math. Pures Appl.
– ident: S0956792514000163_ref33
  doi: 10.1103/PhysRevA.70.043621
– ident: S0956792514000163_ref12
  doi: 10.1103/PhysRevLett.91.050401
– ident: S0956792514000163_ref73
  doi: 10.1134/S1063779611030063
– ident: S0956792514000163_ref30
  doi: 10.1103/PhysRevLett.87.120402
– ident: S0956792514000163_ref4
  doi: 10.1103/PhysRevC.60.054311
– ident: S0956792514000163_ref28
  doi: 10.1103/PhysRevA.9.2178
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Snippet The problem of extrapolating asymptotic perturbation-theory expansions in powers of a small variable to large values of the variable tending to infinity is...
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SubjectTerms Applied mathematics
Approximants
Approximation
Asymptotic expansions
Asymptotic methods
Asymptotic properties
Extrapolation
Mathematical analysis
Self-similarity
Title Extrapolation of perturbation-theory expansions by self-similar approximants
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