A SVD-based ensemble projection algorithm for calculating the conditional nonlinear optimal perturbation
Conditional nonlinear optimal perturbation（CNOP） is an extension of the linear singular vector technique in the nonlinear regime.It represents the initial perturbation that is subjected to a given physical constraint,and results in the largest nonlinear evolution at the prediction time.CNOP-type err...
Saved in:
| Published in: | Science China. Earth sciences Vol. 58; no. 3; pp. 385 - 394 |
|---|---|
| Main Authors: | , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Heidelberg
Science China Press
01.03.2015
Springer Nature B.V |
| Subjects: | |
| ISSN: | 1674-7313, 1869-1897 |
| Online Access: | Get full text |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Abstract | Conditional nonlinear optimal perturbation（CNOP） is an extension of the linear singular vector technique in the nonlinear regime.It represents the initial perturbation that is subjected to a given physical constraint,and results in the largest nonlinear evolution at the prediction time.CNOP-type errors play an important role in the predictability of weather and climate.Generally,when calculating CNOP in a complicated numerical model,we need the gradient of the objective function with respect to the initial perturbations to provide the descent direction for searching the phase space.The adjoint technique is widely used to calculate the gradient of the objective function.However,it is difficult and cumbersome to construct the adjoint model of a complicated numerical model,which imposes a limitation on the application of CNOP.Based on previous research,this study proposes a new ensemble projection algorithm based on singular vector decomposition（SVD）.The new algorithm avoids the localization procedure of previous ensemble projection algorithms,and overcomes the uncertainty caused by choosing the localization radius empirically.The new algorithm is applied to calculate the CNOP in an intermediate forecasting model.The results show that the CNOP obtained by the new ensemble-based algorithm can effectively approximate that calculated by the adjoint algorithm,and retains the general spatial characteristics of the latter.Hence,the new SVD-based ensemble projection algorithm proposed in this study is an effective method of approximating the CNOP. |
|---|---|
| AbstractList | Conditional nonlinear optimal perturbation (CNOP) is an extension of the linear singular vector technique in the nonlinear regime. It represents the initial perturbation that is subjected to a given physical constraint, and results in the largest nonlinear evolution at the prediction time. CNOP-type errors play an important role in the predictability of weather and climate. Generally, when calculating CNOP in a complicated numerical model, we need the gradient of the objective function with respect to the initial perturbations to provide the descent direction for searching the phase space. The adjoint technique is widely used to calculate the gradient of the objective function. However, it is difficult and cumbersome to construct the adjoint model of a complicated numerical model, which imposes a limitation on the application of CNOP. Based on previous research, this study proposes a new ensemble projection algorithm based on singular vector decomposition (SVD). The new algorithm avoids the localization procedure of previous ensemble projection algorithms, and overcomes the uncertainty caused by choosing the localization radius empirically. The new algorithm is applied to calculate the CNOP in an intermediate forecasting model. The results show that the CNOP obtained by the new ensemble-based algorithm can effectively approximate that calculated by the adjoint algorithm, and retains the general spatial characteristics of the latter. Hence, the new SVD-based ensemble projection algorithm proposed in this study is an effective method of approximating the CNOP. Conditional nonlinear optimal perturbation（CNOP） is an extension of the linear singular vector technique in the nonlinear regime.It represents the initial perturbation that is subjected to a given physical constraint,and results in the largest nonlinear evolution at the prediction time.CNOP-type errors play an important role in the predictability of weather and climate.Generally,when calculating CNOP in a complicated numerical model,we need the gradient of the objective function with respect to the initial perturbations to provide the descent direction for searching the phase space.The adjoint technique is widely used to calculate the gradient of the objective function.However,it is difficult and cumbersome to construct the adjoint model of a complicated numerical model,which imposes a limitation on the application of CNOP.Based on previous research,this study proposes a new ensemble projection algorithm based on singular vector decomposition（SVD）.The new algorithm avoids the localization procedure of previous ensemble projection algorithms,and overcomes the uncertainty caused by choosing the localization radius empirically.The new algorithm is applied to calculate the CNOP in an intermediate forecasting model.The results show that the CNOP obtained by the new ensemble-based algorithm can effectively approximate that calculated by the adjoint algorithm,and retains the general spatial characteristics of the latter.Hence,the new SVD-based ensemble projection algorithm proposed in this study is an effective method of approximating the CNOP. |
| Author | CHEN Lei DUAN WanSuo XU Hui |
| AuthorAffiliation | LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China College of Earth Science, University of Chinese Academy of Sciences, Beijing 100049, China |
| Author_xml | – sequence: 1 givenname: Lei surname: Chen fullname: Chen, Lei organization: LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, College of Earth Science, University of Chinese Academy of Sciences – sequence: 2 givenname: WanSuo surname: Duan fullname: Duan, WanSuo organization: LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences – sequence: 3 givenname: Hui surname: Xu fullname: Xu, Hui email: xuh@lasg.iap.ac.cn organization: LASG, Institute of Atmospheric Physics, Chinese Academy of Sciences |
| BookMark | eNp9kbtuHCEUhlHkSHFsP0A6lDRpcGBggCktx7lIllLYTosY5swuKxbWwBR--zBZK4pcmAZ0zvefC_97dBJTBIQ-MHrJKFVfCmOCU0KZIGIYGBFv0CnTciBMD-qkvaUSRHHG36GLUna0Hd4ynTpF2yt89_srGW2BCUMssB8D4ENOO3DVp4ht2KTs63aP55Sxs8EtwVYfN7huAbsUJ79yNuA2VPARbMbpUP2-RQ6Q65JHuwLn6O1sQ4GL5_sMPXy7ub_-QW5_ff95fXVLnBCykg4Up45NnOrOUTv2tJMc1DDZeZJglZqn0XLbtaS0WuiJStpzrdU8qlk7wc_Q52PdtsPjAqWavS8OQrAR0lIMU73uRNcPfUM_vUB3acltlUbJXuhWXrBGqSPlciolw2ycr39Xqtn6YBg1qwnmaIJpJpjVBLOOwl4oD7n9S356VdMdNaWxcQP5v5leEX18brRNcfPYdP86Sck144IN_A9k2qda |
| CitedBy_id | crossref_primary_10_1007_s11401_022_0376_8 crossref_primary_10_1007_s11430_016_9061_3 crossref_primary_10_1007_s00382_019_05021_7 crossref_primary_10_1007_s11430_016_5127_8 crossref_primary_10_1007_s00376_019_9040_y crossref_primary_10_1007_s00382_021_05668_1 crossref_primary_10_1016_j_ocemod_2023_102213 crossref_primary_10_1175_WAF_D_21_0063_1 crossref_primary_10_1093_nsr_nwz039 crossref_primary_10_1155_2017_3208431 crossref_primary_10_5194_npg_30_263_2023 crossref_primary_10_1016_j_cageo_2017_06_014 crossref_primary_10_1016_j_cageo_2015_06_016 crossref_primary_10_1029_2023JD038645 |
| Cites_doi | 10.1111/j.2153-3490.1965.tb01424.x 10.1175/1520-0442(1995)008<2897:AVITZC>2.0.CO;2 10.1175/1520-0442(2003)016<0040:BVOTZC>2.0.CO;2 10.1175/1520-0469(1998)055<0633:SVMAAO>2.0.CO;2 10.1002/cpa.3160300202 10.5194/npg-10-493-2003 10.1175/1520-0442(1991)004<0766:POACOM>2.0.CO;2 10.1007/BF03184224 10.5194/npg-18-883-2011 10.1016/0375-9601(93)90914-L 10.1137/S1052623497330963 10.1016/j.atmosres.2008.09.003 10.1175/1520-0469(1998)055<0537:ICFOGI>2.0.CO;2 10.1098/rspa.1991.0078 10.1175/2009MWR3022.1 10.1175/1520-0493(1987)115<2262:AMENO>2.0.CO;2 10.1002/qj.902 10.1175/1520-0493(2001)129<0123:ASEKFF>2.0.CO;2 10.1002/qj.526 10.1002/qj.49712253409 10.1175/1520-0469(1999)056<2965:TOUSV>2.0.CO;2 10.1007/s00382-012-1557-z 10.1002/qj.2109 |
| ContentType | Journal Article |
| Copyright | Science China Press and Springer-Verlag Berlin Heidelberg 2014 Science China Press and Springer-Verlag Berlin Heidelberg 2015 |
| Copyright_xml | – notice: Science China Press and Springer-Verlag Berlin Heidelberg 2014 – notice: Science China Press and Springer-Verlag Berlin Heidelberg 2015 |
| DBID | 2RA 92L CQIGP ~WA AAYXX CITATION 3V. 7TG 7UA 7XB 88I 8FK ABUWG AEUYN AFKRA AZQEC BENPR BHPHI BKSAR C1K CCPQU DWQXO F1W GNUQQ H96 HCIFZ KL. L.G M2P PCBAR PHGZM PHGZT PKEHL PQEST PQQKQ PQUKI Q9U |
| DOI | 10.1007/s11430-014-4991-4 |
| DatabaseName | 中文科技期刊数据库 中文科技期刊数据库-CALIS站点 中文科技期刊数据库-7.0平台 中文科技期刊数据库- 镜像站点 CrossRef ProQuest Central (Corporate) Meteorological & Geoastrophysical Abstracts Water Resources Abstracts ProQuest Central (purchase pre-March 2016) Science Database (Alumni Edition) ProQuest Central (Alumni) (purchase pre-March 2016) ProQuest Central (Alumni Edition) ProQuest One Sustainability ProQuest Central UK/Ireland ProQuest Central Essentials ProQuest Central Natural Science Collection Earth, Atmospheric & Aquatic Science Collection Environmental Sciences and Pollution Management ProQuest One Community College ProQuest Central Korea ASFA: Aquatic Sciences and Fisheries Abstracts ProQuest Central Student Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources SciTech Premium Collection Meteorological & Geoastrophysical Abstracts - Academic Aquatic Science & Fisheries Abstracts (ASFA) Professional Science Database Earth, Atmospheric & Aquatic Science Database ProQuest Central Premium ProQuest One Academic (New) ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic (retired) ProQuest One Academic UKI Edition ProQuest Central Basic |
| DatabaseTitle | CrossRef Aquatic Science & Fisheries Abstracts (ASFA) Professional ProQuest Central Student ProQuest One Academic Middle East (New) ProQuest Central Essentials ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College Water Resources Abstracts Environmental Sciences and Pollution Management ProQuest Central Earth, Atmospheric & Aquatic Science Collection ProQuest One Sustainability Meteorological & Geoastrophysical Abstracts Natural Science Collection ProQuest Central Korea ProQuest Central (New) ProQuest Science Journals (Alumni Edition) ProQuest Central Basic ProQuest Science Journals ProQuest One Academic Eastern Edition Earth, Atmospheric & Aquatic Science Database Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources ProQuest One Academic UKI Edition ASFA: Aquatic Sciences and Fisheries Abstracts ProQuest One Academic Meteorological & Geoastrophysical Abstracts - Academic ProQuest Central (Alumni) ProQuest One Academic (New) |
| DatabaseTitleList | Aquatic Science & Fisheries Abstracts (ASFA) Professional Water Resources Abstracts |
| Database_xml | – sequence: 1 dbid: BENPR name: ProQuest Central url: https://www.proquest.com/central sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Geology |
| DocumentTitleAlternate | A SVD-based ensemble projection algorithm for calculating the conditional nonlinear optimal perturbation |
| EISSN | 1869-1897 |
| EndPage | 394 |
| ExternalDocumentID | 3589137141 10_1007_s11430_014_4991_4 663813419 |
| Genre | Feature |
| GroupedDBID | -5A -5G -BR -EM -Y2 -~C .VR 06D 0VY 1N0 2J2 2JN 2JY 2KG 2KM 2LR 2RA 2VQ 2~H 30V 3V. 4.4 406 40D 40E 5VR 5VS 67M 88I 8FE 8FH 8TC 8UJ 92L 95- 95. 96X AAAVM AABHQ AAFGU AAHNG AAIAL AAJKR AANZL AARHV AARTL AATNV AATVU AAUYE AAWCG AAYFA AAYIU AAYQN AAYTO ABBBX ABDZT ABECU ABFGW ABFTV ABHLI ABHQN ABJNI ABJOX ABKAS ABKCH ABKTR ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABUWG ABWNU ABXPI ACAOD ACBMV ACBRV ACBXY ACBYP ACGFO ACGFS ACGOD ACHSB ACHXU ACIGE ACIHN ACIPQ ACKNC ACMDZ ACMLO ACOKC ACOMO ACREN ACSNA ACTTH ACVWB ACWMK ACZOJ ADHIR ADINQ ADKNI ADKPE ADMDM ADOXG ADRFC ADTPH ADURQ ADYFF ADYOE ADZKW AEAQA AEBTG AEFTE AEGAL AEGNC AEJHL AEJRE AEKMD AEOHA AEPYU AESKC AESTI AETLH AEVLU AEVTX AEXYK AFKRA AFLOW AFNRJ AFQWF AFRAH AFUIB AFWTZ AFYQB AFZKB AGAYW AGDGC AGGBP AGJBK AGMZJ AGQMX AGWIL AGWZB AGYKE AHAVH AHBYD AHSBF AHYZX AIAKS AIIXL AILAN AIMYW AITGF AJBLW AJDOV AJRNO AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMTXH AMXSW AMYLF AOCGG ARMRJ ASPBG AVWKF AXYYD AZFZN AZQEC B-. BDATZ BENPR BGNMA BHPHI BKSAR BPHCQ CAG CCEZO CCPQU CCVFK CHBEP COF CQIGP CSCUP CW9 DDRTE DNIVK DPUIP DWQXO EBD EBLON EBS EIOEI EJD ESBYG FA0 FEDTE FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNUQQ GNWQR GQ6 GQ7 HCIFZ HF~ HG6 HMJXF HRMNR HVGLF HZ~ I-F IJ- IKXTQ IWAJR IXD I~X I~Z J-C JBSCW JZLTJ KOV L8X LK5 LLZTM M2P M4Y M7R MA- N2Q N9A NB0 NPVJJ NQJWS NU0 O9J PCBAR PF0 PQQKQ PROAC PT4 Q2X QOS R89 RIG ROL RSV S16 S3B SAP SCL SEV SHX SISQX SJYHP SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN TR2 TSG TUC TUS U2A UG4 UNUBA UOJIU UTJUX UZXMN VC2 VFIZW W23 W48 WK8 YLTOR Z5O Z7R Z7Y ZMTXR ~02 ~A9 ~WA -SA -S~ 0R~ AACDK AAJBT AASML AAXDM AAYZH ABAKF ABQSL ACDTI ACPIV AEFQL AEMSY AEUYN AGQEE AGRTI AIGIU BSONS CAJEA CJPJV H13 Q-- U1G U5K AAPKM AAYXX ABBRH ABDBE ABRTQ ADHKG AFDZB AFFHD AFOHR AGQPQ AHPBZ ATHPR AYFIA CITATION PHGZM PHGZT 7TG 7UA 7XB 8FK C1K F1W H96 KL. L.G PKEHL PQEST PQUKI Q9U |
| ID | FETCH-LOGICAL-c446t-2e730c1d3082c0ab50263e79dafd6ea77fdba3a22c06a848d06053887fb7f8c43 |
| IEDL.DBID | RSV |
| ISICitedReferencesCount | 20 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000349767600006&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 1674-7313 |
| IngestDate | Tue Oct 07 08:07:32 EDT 2025 Sat Nov 08 00:16:42 EST 2025 Tue Nov 18 21:47:41 EST 2025 Sat Nov 29 03:44:57 EST 2025 Fri Feb 21 02:32:49 EST 2025 Wed Feb 14 10:37:49 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 3 |
| Keywords | singular vector decomposition conditional nonlinear optimal perturbation ENSO ensemble projection algorithm |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c446t-2e730c1d3082c0ab50263e79dafd6ea77fdba3a22c06a848d06053887fb7f8c43 |
| Notes | singular vector decomposition; ensemble projection algorithm; ENSO; conditional nonlinear optimal perturbation Conditional nonlinear optimal perturbation（CNOP） is an extension of the linear singular vector technique in the nonlinear regime.It represents the initial perturbation that is subjected to a given physical constraint,and results in the largest nonlinear evolution at the prediction time.CNOP-type errors play an important role in the predictability of weather and climate.Generally,when calculating CNOP in a complicated numerical model,we need the gradient of the objective function with respect to the initial perturbations to provide the descent direction for searching the phase space.The adjoint technique is widely used to calculate the gradient of the objective function.However,it is difficult and cumbersome to construct the adjoint model of a complicated numerical model,which imposes a limitation on the application of CNOP.Based on previous research,this study proposes a new ensemble projection algorithm based on singular vector decomposition（SVD）.The new algorithm avoids the localization procedure of previous ensemble projection algorithms,and overcomes the uncertainty caused by choosing the localization radius empirically.The new algorithm is applied to calculate the CNOP in an intermediate forecasting model.The results show that the CNOP obtained by the new ensemble-based algorithm can effectively approximate that calculated by the adjoint algorithm,and retains the general spatial characteristics of the latter.Hence,the new SVD-based ensemble projection algorithm proposed in this study is an effective method of approximating the CNOP. 11-5843/P SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-1 ObjectType-Feature-2 content type line 23 |
| PQID | 1654884841 |
| PQPubID | 54336 |
| PageCount | 10 |
| ParticipantIDs | proquest_miscellaneous_1758242595 proquest_journals_1654884841 crossref_citationtrail_10_1007_s11430_014_4991_4 crossref_primary_10_1007_s11430_014_4991_4 springer_journals_10_1007_s11430_014_4991_4 chongqing_primary_663813419 |
| PublicationCentury | 2000 |
| PublicationDate | 2015-03-01 |
| PublicationDateYYYYMMDD | 2015-03-01 |
| PublicationDate_xml | – month: 03 year: 2015 text: 2015-03-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationPlace | Heidelberg |
| PublicationPlace_xml | – name: Heidelberg – name: Dordrecht |
| PublicationTitle | Science China. Earth sciences |
| PublicationTitleAbbrev | Sci. China Earth Sci |
| PublicationTitleAlternate | SCIENCE CHINA Earth Sciences |
| PublicationYear | 2015 |
| Publisher | Science China Press Springer Nature B.V |
| Publisher_xml | – name: Science China Press – name: Springer Nature B.V |
| References | Osborne, Pastorello (CR16) 1993; 181 Palmer, Gelaro, Barkmeijer (CR17) 1998; 55 Thompson (CR23) 1998; 55 Wang, Tan (CR24) 2010; 138 Yu, Mu, Duan (CR26) 2012; 117 Teman (CR21) 1991; 434 Duan, Xue, Mu (CR6) 2009; 94 Mu, Duan, Wang (CR13) 2003; 10 Mantua, Battisti (CR11) 1995; 8 Qin, Mu (CR19) 2011; 138 Foias, Teman (CR8) 1997; 30 Moore, Kleeman (CR12) 1996; 122 Lorenz (CR10) 1965; 17 Cai, Kalnay, Toth (CR4) 2003; 16 Birgin, Martínez, Raydan (CR1) 2000; 10 Yu, Duan, Xu (CR25) 2009; 135 Duan, Mu, Wang (CR5) 2004; 109 Buizza, Montani (CR3) 1999; 56 Mu, Xu, Duan (CR15) 2007; 34 Zebiak, Cane (CR27) 1987; 115 Blumenthal (CR2) 1991; 4 Houtekamer, Mitchell (CR9) 2001; 129 Mu, Duan (CR14) 2003; 48 Qin, Duan, Mu (CR18) 2013; 139 Sun, Mu (CR20) 2011; 18 Duan, Yu, Xu (CR7) 2012; 40 Thompson, Battisti (CR22) 1995; 8 C J Thompson (4991_CR22) 1995; 8 M Cai (4991_CR4) 2003; 16 M Mu (4991_CR13) 2003; 10 W S Duan (4991_CR7) 2012; 40 R Buizza (4991_CR3) 1999; 56 W S Duan (4991_CR5) 2004; 109 X H Qin (4991_CR18) 2013; 139 C J Thompson (4991_CR23) 1998; 55 A M Moore (4991_CR12) 1996; 122 AR Osborne (4991_CR16) 1993; 181 T N Palmer (4991_CR17) 1998; 55 R Teman (4991_CR21) 1991; 434 M B Blumenthal (4991_CR2) 1991; 4 P L Houtekamer (4991_CR9) 2001; 129 M Mu (4991_CR14) 2003; 48 Y S Yu (4991_CR25) 2009; 135 M Mu (4991_CR15) 2007; 34 C Foias (4991_CR8) 1997; 30 E G Birgin (4991_CR1) 2000; 10 E N Lorenz (4991_CR10) 1965; 17 N J Mantua (4991_CR11) 1995; 8 S E Zebiak (4991_CR27) 1987; 115 Y S Yu (4991_CR26) 2012; 117 X H Qin (4991_CR19) 2011; 138 G D Sun (4991_CR20) 2011; 18 W S Duan (4991_CR6) 2009; 94 B Wang (4991_CR24) 2010; 138 |
| References_xml | – volume: 17 start-page: 321 year: 1965 end-page: 333 ident: CR10 article-title: A study of the predictability of a 28-variable atmospheric model publication-title: Tellus doi: 10.1111/j.2153-3490.1965.tb01424.x – volume: 8 start-page: 2897 year: 1995 end-page: 2927 ident: CR22 article-title: A linear stochastic dynamical model of ENSO. Part I: Model development publication-title: J Clim doi: 10.1175/1520-0442(1995)008<2897:AVITZC>2.0.CO;2 – volume: 16 start-page: 40 year: 2003 end-page: 56 ident: CR4 article-title: Bred vectors of the Zebiak-Cane model and their potential application to ENSO predictions publication-title: J Clim doi: 10.1175/1520-0442(2003)016<0040:BVOTZC>2.0.CO;2 – volume: 8 start-page: 2897 year: 1995 end-page: 2927 ident: CR11 article-title: Aperiodic variability in the Zebiak-Cane coupled ocean-atmosphere model: Air-sea interactions in the western equatorial Pacific publication-title: J Clim doi: 10.1175/1520-0442(1995)008<2897:AVITZC>2.0.CO;2 – volume: 55 start-page: 633 year: 1998 end-page: 653 ident: CR17 article-title: Singular vectors, metrics, and adaptive observations publication-title: J Atmos Sci doi: 10.1175/1520-0469(1998)055<0633:SVMAAO>2.0.CO;2 – volume: 30 start-page: 149 year: 1997 end-page: 164 ident: CR8 article-title: Structure of the set of stationary solution of the Novier-Stokes equations publication-title: Commun Pure Appl Math doi: 10.1002/cpa.3160300202 – volume: 10 start-page: 493 year: 2003 end-page: 501 ident: CR13 article-title: Conditional nonlinear optimal perturbation and its applications publication-title: Nonlinear Process Geophys doi: 10.5194/npg-10-493-2003 – volume: 4 start-page: 766 year: 1991 end-page: 784 ident: CR2 article-title: Predictability of a coupled ocean-atmosphere model publication-title: J Clim doi: 10.1175/1520-0442(1991)004<0766:POACOM>2.0.CO;2 – volume: 48 start-page: 1045 year: 2003 end-page: 1047 ident: CR14 article-title: A new approach to studying ENSO predictability: Conditional nonlinear optimal perturbation publication-title: Chin Sci Bull doi: 10.1007/BF03184224 – volume: 18 start-page: 883 year: 2011 end-page: 893 ident: CR20 article-title: Nonlinearly combined impacts of initial perturbation from human activities and parameter perturbation from climate change on the grassland ecosystem publication-title: Nonlinear Process Geophys doi: 10.5194/npg-18-883-2011 – volume: 181 start-page: 159 year: 1993 end-page: 171 ident: CR16 article-title: Simultaneous occurrence of low-dimensional chaos and colored random noise in nonlinear physical systems publication-title: Phys Lett A doi: 10.1016/0375-9601(93)90914-L – volume: 10 start-page: 1196 year: 2000 end-page: 1211 ident: CR1 article-title: Nonmonotone spectral projected gradient methods on convex sets publication-title: SIAM J Opt doi: 10.1137/S1052623497330963 – volume: 94 start-page: 10 year: 2009 end-page: 18 ident: CR6 article-title: Investigating a nonlinear characteristic of ENSO events by conditional nonlinear optimal perturbation publication-title: Atmos Res doi: 10.1016/j.atmosres.2008.09.003 – volume: 55 start-page: 537 year: 1998 end-page: 557 ident: CR23 article-title: Initial conditions for optimal growth in a coupled ocean-atmosphere model of ENSO publication-title: J Atmos Sci doi: 10.1175/1520-0469(1998)055<0537:ICFOGI>2.0.CO;2 – volume: 34 start-page: L03709 year: 2007 ident: CR15 article-title: A kind of initial errors related to “spring predictability barrier” for El Niño events in Zebiak-Cane model publication-title: Geophys Res Lett – volume: 434 start-page: 23 year: 1991 end-page: 29 ident: CR21 article-title: Approximation of attractors, large eddy simulations and multiscale methods publication-title: Proc R Soc Lond A doi: 10.1098/rspa.1991.0078 – volume: 138 start-page: 1043 year: 2010 end-page: 1049 ident: CR24 article-title: Conditional nonlinear optimal perturbations: Adjoint-free calculation method and preliminary test publication-title: Mon Weather Rev doi: 10.1175/2009MWR3022.1 – volume: 117 start-page: 1 year: 2012 end-page: 13 ident: CR26 article-title: Contribution of the location and spatial pattern of initial error to uncertainties in El Nino predictions publication-title: J Geophys Res – volume: 115 start-page: 2262 year: 1987 end-page: 2278 ident: CR27 article-title: A model El Niño-Southern oscillation publication-title: Mon Weather Rev doi: 10.1175/1520-0493(1987)115<2262:AMENO>2.0.CO;2 – volume: 138 start-page: 185 year: 2011 end-page: 197 ident: CR19 article-title: Influence of conditional nonlinear optimal perturbations sensitivity on typhoon track forecasts publication-title: Quart J Roy Meteor Soc doi: 10.1002/qj.902 – volume: 129 start-page: 123 year: 2001 end-page: 137 ident: CR9 article-title: A sequential ensemble Kalman filter for atmospheric data assimilation publication-title: Mon Weather Rev doi: 10.1175/1520-0493(2001)129<0123:ASEKFF>2.0.CO;2 – volume: 135 start-page: 2146 year: 2009 end-page: 2160 ident: CR25 article-title: Dynamics of nonlinear error growth and season-dependent predictability of El Niño events in the Zebiak-Cane model publication-title: Quart J Roy Meteor Soc doi: 10.1002/qj.526 – volume: 109 start-page: 1984 year: 2004 end-page: 2012 ident: CR5 article-title: Conditional nonlinear optimal perturbation as the optimal precursors for El Niño-Southern Oscillation events publication-title: J Geophys Res – volume: 122 start-page: 1405 year: 1996 end-page: 1446 ident: CR12 article-title: The dynamics of error growth and predictability in a coupled model of ENSO publication-title: Quart J Roy Meteor Soc doi: 10.1002/qj.49712253409 – volume: 56 start-page: 2965 year: 1999 end-page: 2985 ident: CR3 article-title: Targeting observations using singular vectors publication-title: J Atmos Sci doi: 10.1175/1520-0469(1999)056<2965:TOUSV>2.0.CO;2 – volume: 40 start-page: 1399 year: 2012 end-page: 1413 ident: CR7 article-title: Behaviors of nonlinearities modulating El Niño events induced by optimal precursory disturbance publication-title: Climate Dyn doi: 10.1007/s00382-012-1557-z – volume: 139 start-page: 1544 year: 2013 end-page: 1554 ident: CR18 article-title: Conditions under which CNOP sensitivity is valid for tropical cyclone adaptive observations publication-title: Quart J Roy Meteor Soc doi: 10.1002/qj.2109 – volume: 129 start-page: 123 year: 2001 ident: 4991_CR9 publication-title: Mon Weather Rev doi: 10.1175/1520-0493(2001)129<0123:ASEKFF>2.0.CO;2 – volume: 4 start-page: 766 year: 1991 ident: 4991_CR2 publication-title: J Clim doi: 10.1175/1520-0442(1991)004<0766:POACOM>2.0.CO;2 – volume: 8 start-page: 2897 year: 1995 ident: 4991_CR11 publication-title: J Clim doi: 10.1175/1520-0442(1995)008<2897:AVITZC>2.0.CO;2 – volume: 10 start-page: 1196 year: 2000 ident: 4991_CR1 publication-title: SIAM J Opt doi: 10.1137/S1052623497330963 – volume: 30 start-page: 149 year: 1997 ident: 4991_CR8 publication-title: Commun Pure Appl Math doi: 10.1002/cpa.3160300202 – volume: 10 start-page: 493 year: 2003 ident: 4991_CR13 publication-title: Nonlinear Process Geophys doi: 10.5194/npg-10-493-2003 – volume: 55 start-page: 537 year: 1998 ident: 4991_CR23 publication-title: J Atmos Sci doi: 10.1175/1520-0469(1998)055<0537:ICFOGI>2.0.CO;2 – volume: 115 start-page: 2262 year: 1987 ident: 4991_CR27 publication-title: Mon Weather Rev doi: 10.1175/1520-0493(1987)115<2262:AMENO>2.0.CO;2 – volume: 16 start-page: 40 year: 2003 ident: 4991_CR4 publication-title: J Clim doi: 10.1175/1520-0442(2003)016<0040:BVOTZC>2.0.CO;2 – volume: 40 start-page: 1399 year: 2012 ident: 4991_CR7 publication-title: Climate Dyn doi: 10.1007/s00382-012-1557-z – volume: 18 start-page: 883 year: 2011 ident: 4991_CR20 publication-title: Nonlinear Process Geophys doi: 10.5194/npg-18-883-2011 – volume: 17 start-page: 321 year: 1965 ident: 4991_CR10 publication-title: Tellus doi: 10.1111/j.2153-3490.1965.tb01424.x – volume: 109 start-page: 1984 year: 2004 ident: 4991_CR5 publication-title: J Geophys Res – volume: 8 start-page: 2897 year: 1995 ident: 4991_CR22 publication-title: J Clim doi: 10.1175/1520-0442(1995)008<2897:AVITZC>2.0.CO;2 – volume: 55 start-page: 633 year: 1998 ident: 4991_CR17 publication-title: J Atmos Sci doi: 10.1175/1520-0469(1998)055<0633:SVMAAO>2.0.CO;2 – volume: 181 start-page: 159 year: 1993 ident: 4991_CR16 publication-title: Phys Lett A doi: 10.1016/0375-9601(93)90914-L – volume: 117 start-page: 1 year: 2012 ident: 4991_CR26 publication-title: J Geophys Res – volume: 135 start-page: 2146 year: 2009 ident: 4991_CR25 publication-title: Quart J Roy Meteor Soc doi: 10.1002/qj.526 – volume: 138 start-page: 185 year: 2011 ident: 4991_CR19 publication-title: Quart J Roy Meteor Soc doi: 10.1002/qj.902 – volume: 48 start-page: 1045 year: 2003 ident: 4991_CR14 publication-title: Chin Sci Bull doi: 10.1007/BF03184224 – volume: 56 start-page: 2965 year: 1999 ident: 4991_CR3 publication-title: J Atmos Sci doi: 10.1175/1520-0469(1999)056<2965:TOUSV>2.0.CO;2 – volume: 94 start-page: 10 year: 2009 ident: 4991_CR6 publication-title: Atmos Res doi: 10.1016/j.atmosres.2008.09.003 – volume: 122 start-page: 1405 year: 1996 ident: 4991_CR12 publication-title: Quart J Roy Meteor Soc doi: 10.1002/qj.49712253409 – volume: 34 start-page: L03709 year: 2007 ident: 4991_CR15 publication-title: Geophys Res Lett – volume: 138 start-page: 1043 year: 2010 ident: 4991_CR24 publication-title: Mon Weather Rev doi: 10.1175/2009MWR3022.1 – volume: 139 start-page: 1544 year: 2013 ident: 4991_CR18 publication-title: Quart J Roy Meteor Soc doi: 10.1002/qj.2109 – volume: 434 start-page: 23 year: 1991 ident: 4991_CR21 publication-title: Proc R Soc Lond A doi: 10.1098/rspa.1991.0078 |
| SSID | ssj0000389727 |
| Score | 2.1790094 |
| Snippet | Conditional nonlinear optimal perturbation（CNOP） is an extension of the linear singular vector technique in the nonlinear regime.It represents the initial... Conditional nonlinear optimal perturbation (CNOP) is an extension of the linear singular vector technique in the nonlinear regime. It represents the initial... |
| SourceID | proquest crossref springer chongqing |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 385 |
| SubjectTerms | Algorithms Climate Earth and Environmental Science Earth Sciences Mathematical models Nonlinear equations Objective function Research Paper Studies SVD Weather forecasting 伴随模式 初始扰动 基础 投影算法 计算条件 集成 非线性 |
| SummonAdditionalLinks | – databaseName: ProQuest Central dbid: BENPR link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT9tAEB6VAFIvtKWgGmi1SD1RrbDjjR-nirbQHlCEWoq4rfblBClxQhKQ-PedWa8TqFQuvXrtXa2-8bx29huAj06YnhFUPZPFlqM9tlwnieUqLVOUFxOXnqz66jzv94vr6_IiJNzmoayy1YleUduJoRz5Md26KQpRiOTz9JZT1yg6XQ0tNNZgnZjKRAfWv5z2L34usyxEH5f7vq1Ubc_zNEnbo01_fw69BarLElxQBZAggoXhpB7cotl4aqhW3udfB6beDp29-t8dvIat4IGyk0Zk3sALV2_D5nff4ffhLQxP2K-rb5ysm2UY47qxHjkWEjYIIlOjAc66GI4Z-rsMITa-A1g9YOhLMgyv7U2TX2R1Q8OhZmyCimmMT6ZuhiZOe2nYgd9np5dff_DQjoEbjBkXvOtQG5jEEsGNiZXuYfiWury0qrKZU3leWa1S1cXBTOE-bYyhUopKrNJ5VRiR7kIHF3bvgNm8xG8UhpaKGOIKnQmjdJZp202qMo4j2F_iIKcN7YZE36jw9HMRxC0y0gQmc2qoMZIrDmYCViKwkoCVIoKj5SftfM-8fNACKMMfPZcr9CI4XA7jv0gHLKp2kzt8B4MvCuHKXgSfWjF5NMW_Ftx7fsF9eIluWq-pfDuAzmJ2597Dhrlf3MxnH4LI_wHLOgaN priority: 102 providerName: ProQuest |
| Title | A SVD-based ensemble projection algorithm for calculating the conditional nonlinear optimal perturbation |
| URI | http://lib.cqvip.com/qk/60111X/201503/663813419.html https://link.springer.com/article/10.1007/s11430-014-4991-4 https://www.proquest.com/docview/1654884841 https://www.proquest.com/docview/1758242595 |
| Volume | 58 |
| WOSCitedRecordID | wos000349767600006&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: PRVPQU databaseName: Earth, Atmospheric & Aquatic Science Database customDbUrl: eissn: 1869-1897 dateEnd: 20241209 omitProxy: false ssIdentifier: ssj0000389727 issn: 1674-7313 databaseCode: PCBAR dateStart: 19970201 isFulltext: true titleUrlDefault: https://search.proquest.com/eaasdb providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 1869-1897 dateEnd: 20241209 omitProxy: false ssIdentifier: ssj0000389727 issn: 1674-7313 databaseCode: BENPR dateStart: 19970201 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: Science Database customDbUrl: eissn: 1869-1897 dateEnd: 20241209 omitProxy: false ssIdentifier: ssj0000389727 issn: 1674-7313 databaseCode: M2P dateStart: 19970201 isFulltext: true titleUrlDefault: https://search.proquest.com/sciencejournals providerName: ProQuest – providerCode: PRVAVX databaseName: SpringerLINK Contemporary 1997-Present customDbUrl: eissn: 1869-1897 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000389727 issn: 1674-7313 databaseCode: RSV dateStart: 20100101 isFulltext: true titleUrlDefault: https://link.springer.com/search?facet-content-type=%22Journal%22 providerName: Springer Nature |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1ZT9tAEB5xtBIvQA-ECURbqU-tVrLjjY_HcD9AFEEb8bbay0mkxAlOQOLfM7u2E4paJPrqvewZz87Mzuw3AN8NU23FbPZM5GuK-lhTGQSaijAN8X9RfurAqvtXcbeb3N2lveoe97zOdq9Dkm6nXl12Q9Vuk6gYZTZdh63DJmq7xErjzW1_ebBiEeNiV6rVJtjTOAzCOpr5t1kspsJwmg_uccU_ddPK4HwVI3Wq53znv156F7YrS5N0yl_jE6yZ_DN8vHCVfJ--wLBDbvun1GoxTdCXNRM5NqQ6mEFmETEeTIvRYjghaNcSZKVylb7yAUGbkaAbrUflOSLJS7gNUZApbkATfDIzBaoy6bj-FX6fn_06uaRV2QWq0Ddc0JZBqVeBtkA2yheyjW5aaOJUi0xHRsRxpqUIRQsbI5GwRPvoEoW4WWUyzhLFwj3YwIXNPhAdpzhGoAspLBJcIiOmhIwiqVtBlvq-B40l8fmshNfgaAMlDmbOA79mB1cVYrktnDHmK6xlS16O5OWWvJx58GM5pJ7vjc6HNY95Jblzbm93JfhVLPDg27IZZc4GUkRupg_YB50s66qlbQ9-1nx_McW_Fjx4V-8GbKF11i4T3g5hY1E8mCP4oB4Xo3nRhM3js27vpgnr161e04nAMy2g_QM |
| linkProvider | Springer Nature |
| linkToHtml | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9NAEB6VAoILb4RpgUWCC2iFHxs_DghVlNKqaVSJUvW23ZcTpMROkxTUP8VvZGZtJ4BEbz1wtfehtb-dx87sNwCvnDA9Iyh7Jg0tR31suY4iy1VSJIgXExaerPq4nw0G-clJcbgGP7u7MJRW2clEL6htbeiM_B3duslzkYvow_SMU9Uoiq52JTQaWOy7ix_oss3f723j_30dxzufjj7u8raqADfo-ix47BDUJrLE02JCpXvohSQuK6wqbepUlpVWq0TF-DJVOKEN0eJPcC-WOitzIxIc9xpcF-gJ0b46iA-XZzpEVpf5KrGU28-zJEq6QKq_rYe2CWWBCS4o30gQncOoroZnqKT-VIsrW_ev8KzXejt3_7fvdQ_utPY122o2xH1Yc9UDuPnZ1y--eAijLfbleJuT7rYMPXg30WPH2uMohChT4yGuYjGaMLTmGQLY-Ppm1ZChpcxMTRF-f3rKqoZkRM1YjWJ3gk-mboYKXHusP4KvV7LMx7COE7snwGxWYB-FjrMi_rtcp8IonabaxlFZhGEAG8v_LqcNqYhEyy_35HoBhB0SpGl52qlcyFiuGKYJSBKBJAlIUgTwZtmlG--SxpsdYGQrr-ZyhZYAXi5fo6Sh8JGqXH2ObdC1JAe16AXwtoPlb0P8a8Knl0_4Am7tHh30ZX9vsL8Bt9Eg7TU5fpuwvpidu2dww3xffJvPnvvNxuD0qtH6C3BiYkg |
| linkToPdf | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB6V8lAvvFFDCxgJLiCreTivA0IVy0LVsloJqHpzHdvZRdpNtrtbUP8av44ZJ9kFJHrrgWsc23LyeR6e8TcAL6zQsRaUPZP4hqM-NrwIAsNVlEeIF-3njqz6-CgdDLKTk3y4AT-7uzCUVtnJRCeoTa3pjHyPbt1kmchEsFe2aRHDXv_t7IxTBSmKtHblNBqIHNqLH-i-Ld4c9PBfvwzD_vsv7z7ytsIA1-gGLXloEeA6MMTZon1VxOiRRDbNjSpNYlWalqZQkQqxMVE4ufHR-o9wX5ZFWmZaRDjuNbieijimdMJP4XB1vkPEdamrGEt5_jyNgqgLqrqbe2inUEaY4IJyjwRRO4zranSGCutPFbm2e_8K1ToN2L_zP3-7u3C7tbvZfrNR7sGGre7DzQ-urvHFAxjvs8_HPU463TD07O20mFjWHlMhdJmajHAVy_GUoZXPENja1T2rRgwtaKZrivy7U1VWNeQjas5qFMdTfDKzc1TshdsDD-HrlSzzEWzixHYbmElz7KPQoVbEi5cVidCqSJLChEGZ-74HOysMyFlDNiLRIswc6Z4HfocKqVv-diojMpFr5mkClURQSQKVFB68WnXpxrvk5d0OPLKVYwu5Ro4Hz1fNKIEorKQqW5_jO-hykuOaxx687iD62xD_mvDx5RM-g1sIUnl0MDjcgS20U-Mm9W8XNpfzc_sEbujvy2-L-VO37xicXjVYfwFtrmsO |
| 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=A+SVD-based+ensemble+projection+algorithm+for+calculating+the+conditional+nonlinear+optimal+perturbation&rft.jtitle=Science+China.+Earth+sciences&rft.au=Chen%2C+Lei&rft.au=Duan%2C+WanSuo&rft.au=Xu%2C+Hui&rft.date=2015-03-01&rft.pub=Science+China+Press&rft.issn=1674-7313&rft.eissn=1869-1897&rft.volume=58&rft.issue=3&rft.spage=385&rft.epage=394&rft_id=info:doi/10.1007%2Fs11430-014-4991-4&rft.externalDocID=10_1007_s11430_014_4991_4 |
| thumbnail_s | http://cvtisr.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F60111X%2F60111X.jpg |