Forward and non-forward symplectic integrators in solving classical dynamics problems

Forward time step integrators are splitting algorithms with only positive splitting coefficients. When used in solving physical evolution equations, these positive coefficients correspond to positive time steps. Forward algorithms are essential for solving time-irreversible equations that cannot be...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:International journal of computer mathematics Ročník 84; číslo 6; s. 729 - 747
Hlavný autor: Chin, Siu A.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Taylor & Francis 01.06.2007
Predmet:
Forward factorization algorithms
Keplarian orbits
Splitting methods
Symplectic integrators
ISSN:0020-7160, 1029-0265
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Abstract Forward time step integrators are splitting algorithms with only positive splitting coefficients. When used in solving physical evolution equations, these positive coefficients correspond to positive time steps. Forward algorithms are essential for solving time-irreversible equations that cannot be evolved using backward time steps. However, forward integrators are also better in solving time-reversible equations of classical dynamics by tracking as closely as possible the physical trajectory. This work compares in detail various forward and non-forward fourth-order integrators using three, four, five and six force evaluations. In the case of solving the 2D Kepler orbit, all non-forward integrators are optimized by simply minimizing the size of their backward time steps
AbstractList Forward time step integrators are splitting algorithms with only positive splitting coefficients. When used in solving physical evolution equations, these positive coefficients correspond to positive time steps. Forward algorithms are essential for solving time-irreversible equations that cannot be evolved using backward time steps. However, forward integrators are also better in solving time-reversible equations of classical dynamics by tracking as closely as possible the physical trajectory. This work compares in detail various forward and non-forward fourth-order integrators using three, four, five and six force evaluations. In the case of solving the 2D Kepler orbit, all non-forward integrators are optimized by simply minimizing the size of their backward time steps
Author Chin, Siu A.
Author_xml – sequence: 1
  givenname: Siu A.
  surname: Chin
  fullname: Chin, Siu A.
  email: chin@physics.tamu.edu
  organization: Department of Physics , Texas A&M University
BookMark eNqNkE9LAzEQxYNUsK1-AG978rY62T_JLniRYlUoeKnnMJvNlkg2qUlq7bd3S3uyUDwMM8O83xt4EzKyzipCbincU6jgASADThlwoEVZFZxdkDGFrE4hY-WIjPf3dC-4IpMQPgGgqjkbk4-581v0bYK2TQbPtDvuYdevjZJRy0TbqFYeo_NhmJPgzLe2q0QaDEFLNEm7s9hrGZK1d41Rfbgmlx2aoG6OfUqW8-fl7DVdvL-8zZ4Wqcw5j2nTVrRUkEmscagaG1ZgxbDJ6poVOStAFnXbAFe0lKrLurZUkiHNkTe8ZfmU3B1sh79fGxWi6HWQyhi0ym2C2NvwoqCDkB6E0rsQvOrE2use_U5QEPv8xEl-A8P_MFJHjNrZ6FGbs-TjgdR2SLPHrfOmFRF3xvnOo5U6iPwfj8_gJ5SIPzH_BYq3nN0
CitedBy_id crossref_primary_10_1007_s10569_010_9255_9
crossref_primary_10_1093_mnras_stab057
crossref_primary_10_1088_1475_7516_2024_12_005
crossref_primary_10_2514_1_42358
Cites_doi 10.1103/PhysRevB.63.144518
10.1016/j.physleta.2003.08.062
10.1016/S0010-4655(02)00754-3
10.1103/PhysRevB.68.134510
10.1109/TNS.1983.4332919
10.1103/PhysRevB.73.195310
10.1016/0375-9601(90)90092-3
10.1063/1.1485725
10.1007/BF00048986
10.1016/S0065-3276(05)49004-8
10.1137/0733018
10.1063/1.2150831
10.1103/PhysRevLett.63.9
10.1093/imanum/9.2.199
10.1007/BF00699717
10.1023/A:1021195019574
10.1007/BF01737165
10.1016/j.cpc.2005.05.006
10.1016/0375-9601(95)00266-6
10.1063/1.1362288
10.1017/S0962492902000053
10.1143/JPSJ.53.3765
10.1007/s10569-004-4622-z
10.1016/0167-2789(90)90019-L
10.1016/S0377-0427(01)00492-7
10.1063/1.529425
10.1016/0375-9601(90)90962-N
10.1063/1.1760512
10.1007/BF00048485
10.1103/PhysRevLett.97.045301
10.2514/4.861543
10.1016/S0375-9601(97)00003-0
10.1016/j.physleta.2006.02.004
10.1086/115978
10.1063/1.1872775
10.1007/978-3-662-05018-7
10.1063/1.1410117
10.1063/1.1404142
10.1103/PhysRevLett.96.070601
10.1137/0916010
ContentType Journal Article
Copyright Copyright Taylor & Francis Group, LLC 2007
Copyright_xml – notice: Copyright Taylor & Francis Group, LLC 2007
DBID AAYXX
CITATION
7SC
8FD
JQ2
L7M
L~C
L~D
DOI 10.1080/00207160701458476
DatabaseName CrossRef
Computer and Information Systems Abstracts
Technology Research Database
ProQuest Computer Science Collection
Advanced Technologies Database with Aerospace
Computer and Information Systems Abstracts – Academic
Computer and Information Systems Abstracts Professional
DatabaseTitle CrossRef
Computer and Information Systems Abstracts
Technology Research Database
Computer and Information Systems Abstracts – Academic
Advanced Technologies Database with Aerospace
ProQuest Computer Science Collection
Computer and Information Systems Abstracts Professional
DatabaseTitleList Computer and Information Systems Abstracts
DeliveryMethod fulltext_linktorsrc
Discipline Computer Science
EISSN 1029-0265
EndPage 747
ExternalDocumentID 10_1080_00207160701458476
245727
GroupedDBID -~X
.4S
.7F
.DC
.QJ
0BK
0R~
29J
30N
4.4
5GY
5VS
AAENE
AAGDL
AAHIA
AAJMT
AALDU
AAMIU
AAPUL
AAQRR
ABCCY
ABDBF
ABFIM
ABHAV
ABJNI
ABLIJ
ABPAQ
ABPEM
ABTAI
ABUFD
ABXUL
ABXYU
ACGEJ
ACGFS
ACGOD
ACIWK
ACNCT
ACTCW
ACUHS
ADCVX
ADGTB
ADXPE
AEISY
AENEX
AEOZL
AEPSL
AEYOC
AFKVX
AFRVT
AGCQS
AGDLA
AGMYJ
AHDZW
AI.
AIJEM
AIYEW
AJWEG
AKBVH
AKOOK
ALMA_UNASSIGNED_HOLDINGS
ALQZU
AMVHM
AQTUD
ARCSS
AVBZW
AWYRJ
BLEHA
CAG
CCCUG
CE4
COF
CS3
DGEBU
DKSSO
DU5
EAP
EBS
EDO
EJD
EMK
EPL
EST
ESX
E~A
E~B
GTTXZ
H13
HZ~
H~P
IPNFZ
J.P
KYCEM
M4Z
MK~
NA5
NY~
O9-
P2P
PQQKQ
RIG
RNANH
ROSJB
RTWRZ
S-T
SNACF
TASJS
TBQAZ
TDBHL
TEJ
TFL
TFT
TFW
TN5
TTHFI
TUROJ
TUS
TWF
UPT
UT5
UU3
VH1
WH7
ZGOLN
~S~
07G
1TA
AAIKQ
AAKBW
AAYJJ
AAYXX
ABEFU
ACAGQ
ACGEE
ACTIO
AEUMN
AFFNX
AGLEN
AGROQ
AHMOU
ALCKM
AMEWO
AMXXU
AQRUH
BCCOT
BPLKW
C06
CITATION
CRFIH
DMQIW
DWIFK
HF~
H~9
IVXBP
LJTGL
NUSFT
QCRFL
TAQ
TFMCV
TOXWX
UB9
UU8
V3K
V4Q
ZY4
7SC
8FD
JQ2
L7M
L~C
L~D
ID FETCH-LOGICAL-c377t-bd815e02ca9aca99ab64a86ab299643640c49db07e15cef2fd5ec6a13a7b7d63
IEDL.DBID TFW
ISICitedReferencesCount 6
ISICitedReferencesURI http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000248049400003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN 0020-7160
IngestDate Fri Sep 05 08:21:06 EDT 2025
Sat Nov 29 02:21:28 EST 2025
Tue Nov 18 21:55:48 EST 2025
Mon May 13 12:10:04 EDT 2019
Mon Oct 20 23:46:32 EDT 2025
IsPeerReviewed true
IsScholarly true
Issue 6
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c377t-bd815e02ca9aca99ab64a86ab299643640c49db07e15cef2fd5ec6a13a7b7d63
Notes ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
PQID 29967441
PQPubID 23500
PageCount 19
ParticipantIDs proquest_miscellaneous_29967441
crossref_primary_10_1080_00207160701458476
informaworld_taylorfrancis_310_1080_00207160701458476
crossref_citationtrail_10_1080_00207160701458476
PublicationCentury 2000
PublicationDate 2007-06-00
PublicationDateYYYYMMDD 2007-06-01
PublicationDate_xml – month: 06
  year: 2007
  text: 2007-06-00
PublicationDecade 2000
PublicationTitle International journal of computer mathematics
PublicationYear 2007
Publisher Taylor & Francis
Publisher_xml – name: Taylor & Francis
References CIT0030
CIT0033
Forbert H. A. (CIT0022) 2001; 63
Suzuki M. (CIT0017) 1995; 201
Hairer E. (CIT0008) 2002
CIT0038
CIT0037
Yoshida H. (CIT0005); 150
CIT0039
Aichinger M. (CIT0034) 2006; 73
CIT0042
CIT0001
Chin S. A. (CIT0051) 2006; 354
CIT0044
Chin S. A. (CIT0018) 1997; 226
Omelyan I. P. (CIT0045) 2006; 74
Chin S. A. (CIT0026) 2004; 69
Ciftja O. (CIT0031) 2003; 68
Neri F. (CIT0002)
Battin (CIT0046) 1999
CIT0003
Goldstein G. (CIT0041) 2004; 70
CIT0049
CIT0004
CIT0007
CIT0006
Suzuki M. (CIT0019) 1996
CIT0009
Baye D. (CIT0040) 2003; 317
CIT0050
Omelyan I. P. (CIT0043) 2002; 66
CIT0053
CIT0012
CIT0011
Leimkuhler B. (CIT0010) 2004
Scuro S. R. (CIT0036) 2005; 71
Forbert H. A. (CIT0021) 2001; 63
CIT0014
CIT0013
CIT0016
Suzuki M. (CIT0048) 1990; 146
CIT0015
Chin S. A. (CIT0047) 2007; 75
Chin S. A. (CIT0052) 2006; 73
CIT0020
CIT0023
Chin S. A. (CIT0032) 2005; 72
Chin S. A. (CIT0035) 2000; 62
CIT0025
CIT0024
CIT0027
CIT0029
CIT0028
References_xml – volume: 63
  start-page: 144518
  year: 2001
  ident: CIT0022
  publication-title: Physical Review
  doi: 10.1103/PhysRevB.63.144518
– volume: 317
  start-page: 337
  year: 2003
  ident: CIT0040
  publication-title: Physics Letters
  doi: 10.1016/j.physleta.2003.08.062
– ident: CIT0044
  doi: 10.1016/S0010-4655(02)00754-3
– volume: 62
  start-page: 8746
  year: 2000
  ident: CIT0035
  publication-title: Physical Review
– volume: 63
  start-page: 016703
  year: 2001
  ident: CIT0021
  publication-title: Physical Review
– volume: 68
  start-page: 134510
  year: 2003
  ident: CIT0031
  publication-title: Physical Review
  doi: 10.1103/PhysRevB.68.134510
– ident: CIT0001
  doi: 10.1109/TNS.1983.4332919
– volume: 73
  start-page: 195310
  year: 2006
  ident: CIT0034
  publication-title: Physical Review
  doi: 10.1103/PhysRevB.73.195310
– volume: 150
  start-page: 262
  ident: CIT0005
  publication-title: Physics Letters
  doi: 10.1016/0375-9601(90)90092-3
– ident: CIT0039
  doi: 10.1063/1.1485725
– ident: CIT0011
  doi: 10.1007/BF00048986
– ident: CIT0023
  doi: 10.1016/S0065-3276(05)49004-8
– ident: CIT0015
  doi: 10.1137/0733018
– ident: CIT0042
  doi: 10.1063/1.2150831
– volume: 66
  start-page: 026701
  year: 2002
  ident: CIT0043
  publication-title: Physical Review
– ident: CIT0003
  doi: 10.1103/PhysRevLett.63.9
– ident: CIT0013
  doi: 10.1093/imanum/9.2.199
– ident: CIT0007
  doi: 10.1007/BF00699717
– ident: CIT0050
  doi: 10.1023/A:1021195019574
– ident: CIT0020
  doi: 10.1007/BF01737165
– ident: CIT0033
  doi: 10.1016/j.cpc.2005.05.006
– volume: 75
  start-page: 036701
  year: 2007
  ident: CIT0047
  publication-title: Physical Review
– volume: 201
  start-page: 425
  year: 1995
  ident: CIT0017
  publication-title: Physics Letters
  doi: 10.1016/0375-9601(95)00266-6
– ident: CIT0038
  doi: 10.1063/1.1362288
– ident: CIT0009
  doi: 10.1017/S0962492902000053
– ident: CIT0016
  doi: 10.1143/JPSJ.53.3765
– ident: CIT0037
  doi: 10.1007/s10569-004-4622-z
– volume: 73
  start-page: 026705
  year: 2006
  ident: CIT0052
  publication-title: Physical Review
– volume-title: Simulating Hamiltonian Dynamics
  year: 2004
  ident: CIT0010
– ident: CIT0004
  doi: 10.1016/0167-2789(90)90019-L
– ident: CIT0053
  doi: 10.1016/S0377-0427(01)00492-7
– volume: 71
  start-page: 056703
  year: 2005
  ident: CIT0036
  publication-title: Physical Review
– volume: 74
  start-page: 036703
  year: 2006
  ident: CIT0045
  publication-title: Physical Review
– ident: CIT0014
  doi: 10.1063/1.529425
– volume: 146
  start-page: 319
  year: 1990
  ident: CIT0048
  publication-title: Physics Letters
  doi: 10.1016/0375-9601(90)90962-N
– volume-title: Lie Algebra and Canonical Integration
  ident: CIT0002
– ident: CIT0027
  doi: 10.1063/1.1760512
– ident: CIT0012
  doi: 10.1007/BF00048485
– ident: CIT0030
  doi: 10.1103/PhysRevLett.97.045301
– volume-title: An Introduction to the Mathematics and Methods of Astrodynamics,
  year: 1999
  ident: CIT0046
  doi: 10.2514/4.861543
– volume: 226
  start-page: 344
  year: 1997
  ident: CIT0018
  publication-title: Physics Letters
  doi: 10.1016/S0375-9601(97)00003-0
– volume: 69
  start-page: 046118
  year: 2004
  ident: CIT0026
  publication-title: Physical Review
– volume: 354
  start-page: 373
  year: 2006
  ident: CIT0051
  publication-title: Physics Letters
  doi: 10.1016/j.physleta.2006.02.004
– ident: CIT0006
  doi: 10.1086/115978
– volume: 70
  start-page: 056703
  year: 2004
  ident: CIT0041
  publication-title: Physical Review
– ident: CIT0028
  doi: 10.1063/1.1872775
– start-page: 1
  volume-title: Computer Simulation Studies in Condensed Matter Physics VIII
  year: 1996
  ident: CIT0019
– volume-title: Geometric Numerical Integration
  year: 2002
  ident: CIT0008
  doi: 10.1007/978-3-662-05018-7
– ident: CIT0025
  doi: 10.1063/1.1410117
– volume: 72
  start-page: 036705
  year: 2005
  ident: CIT0032
  publication-title: Physical Review
– ident: CIT0024
  doi: 10.1063/1.1404142
– ident: CIT0029
  doi: 10.1103/PhysRevLett.96.070601
– ident: CIT0049
  doi: 10.1137/0916010
SSID ssj0008976
Score 1.7448246
Snippet Forward time step integrators are splitting algorithms with only positive splitting coefficients. When used in solving physical evolution equations, these...
SourceID proquest
crossref
informaworld
SourceType Aggregation Database
Enrichment Source
Index Database
Publisher
StartPage 729
SubjectTerms Forward factorization algorithms
Keplarian orbits
Splitting methods
Symplectic integrators
Title Forward and non-forward symplectic integrators in solving classical dynamics problems
URI https://www.tandfonline.com/doi/abs/10.1080/00207160701458476
https://www.proquest.com/docview/29967441
Volume 84
WOSCitedRecordID wos000248049400003&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
journalDatabaseRights – providerCode: PRVAWR
  databaseName: Taylor & Francis Journals Complete
  customDbUrl:
  eissn: 1029-0265
  dateEnd: 99991231
  omitProxy: false
  ssIdentifier: ssj0008976
  issn: 0020-7160
  databaseCode: TFW
  dateStart: 19640101
  isFulltext: true
  titleUrlDefault: https://www.tandfonline.com
  providerName: Taylor & Francis
link http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LS8QwEA6yePDi-sT1mYMnIZBst0lzFLF4WjysuLeS5gGCtNJ0Rf-9mT4W15U96KHQwiQNySQzyUy-D6HrKDIu4RBTN1aQiZKUKCEZEcZopZnLrXQN2YSYTpP5XD52uTm-S6uEPbRrgSKatRomt8p9nxEHN7iDYeRBWVkT5QPA7WD2YVrO0uflOpzIhloOpAmI9zHN32pYsUormKVra3RjeNLhP5u8h3Y7jxPftiqyj7ZscYCGPZsD7ib3IXpKywpSaHH4CS7Kgrju238CgjDcpcI9uERZ-fCOg97CeQTW4ILDaGPTEtx73BHV-CM0S-9ndw-kI10gOhKiJrlJWGzpWCupwiNVzicq4SoPdit4L3xC9USanArLYm3d2JnYaq5YpEQuDI-O0SA00Z4gnMdOGD0WRoDTFvah3AoVURN8BGYtlSNE-z7PdAdIDrwYrxlb4pb-6LURulkWeWvRODYJ0-8DmdXNEYhr-UrWxbP6ox6heEORaMOvrnolycL0hJiLKmy58Bn0mggu5-kfaz5DO32GImXnaFBXC3uBtvV7_eKry0bhvwByZv3k
linkProvider Taylor & Francis
linkToHtml http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LSwMxEB60CnqxPrG-moMnYSHpdpPNUcRSsRYPFb0t2TxAkFa6W9F_b2YfRa30oIeFXZhkQzLJTDKT7wM4D0PjYo4xdWNF0FWSBkpIFghjtNLMpVa6gmxCDIfx05O8rw7csiqtEvfQrgSKKNZqnNx4GF2nxOEVbm8ZuddWVoT5-CqsRd7OInb-qPc4X4ljWZDLoXiA8nVU87cqvtmlb6ilC6t0YXp6zf82ehu2KqeTXJZasgMrdrwLzZrQgVTzew8eepMpZtES_xcynowDV31nHwgijNepSI0vMZlm_p141cUjCaLRC8cBJ6bkuM9IxVWT7cOodz266gcV70KgQyHyIDUxiyztaCWVf6RKeVfFXKXedHkHhnep7kqTUmFZpK3rOBNZzRULlUiF4eEBNHwT7SGQNHLC6I4wAv02vxXlVqiQGu8mMGupbAGtOz3RFSY5UmO8JGwOXfqj11pwMS_yWgJyLBOmX0cyyYtTEFdSliyKJ_l73oJoSZFwya_atZYkfoZi2EWN7WSWJdhrwnudR3-suQ0b_dHdIBncDG-PYbNOWKTsBBr5dGZPYV2_5c_Z9KzQ_k-C6gId
linkToPdf http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LSwMxEB58IV58i_XVHDwJC0m3m2yOoi6KUjxU7G3J5gGCtKW7iv57M_so1koPeljYhUk2JJPMl8xkPoDzMDQu5uhTN1YEXSVpoIRkgTBGK81cZqUrySZErxcPBvKxjs3J67BK3EO7KlFEuVbj5B4b10TE4Q1ubxi5V1ZWevn4Mqx62MxRwfvJ83QhjmXJLYfiAco3Ts3fqpgxSzNJS-cW6dLyJFv_bPM2bNaQk1xWOrIDS3a4C1sNnQOpZ_cePCWjCcbQEv8TMhwNA1d_55-YQhgvU5Emu8Rokvt34hUXDySIRgyOw01MxXCfk5qpJt-HfnLTv7oNataFQIdCFEFmYhZZ2tFKKv9IlfGuirnKvOHy8IV3qe5Kk1FhWaSt6zgTWc0VC5XIhOHhAaz4JtpDIFnkhNEdYQSiNr8R5VaokBoPEpi1VLaANn2e6jojORJjvKZsmrj0R6-14GJaZFyl41gkTL8PZFqUZyCuIiyZF0-Lj6IF0YIi4YJftRslSf38RKeLGtrRW55irwmPOY_-WHMb1h-vk_Thrnd_DBtNtCJlJ7BSTN7sKazp9-Iln5yVuv8FdpsAzw
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Forward+and+non-forward+symplectic+integrators+in+solving+classical+dynamics+problems&rft.jtitle=International+journal+of+computer+mathematics&rft.au=Chin%2C+Siu+A.&rft.date=2007-06-01&rft.issn=0020-7160&rft.eissn=1029-0265&rft.volume=84&rft.issue=6&rft.spage=729&rft.epage=747&rft_id=info:doi/10.1080%2F00207160701458476&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_00207160701458476
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0020-7160&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0020-7160&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0020-7160&client=summon