{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,7]],"date-time":"2026-04-07T17:11:52Z","timestamp":1775581912222,"version":"3.50.1"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"1-2","license":[{"start":{"date-parts":[[2018,12,11]],"date-time":"2018-12-11T00:00:00Z","timestamp":1544486400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["41474103"],"award-info":[{"award-number":["41474103"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"crossref","award":["2017YFB0701700"],"award-info":[{"award-number":["2017YFB0701700"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100012166","name":"National Key Research and Development Program of China","doi-asserted-by":"crossref","award":["2017YFB0305601"],"award-info":[{"award-number":["2017YFB0305601"]}],"id":[{"id":"10.13039\/501100012166","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Natural Science Foundation of Yunnan Province of China","award":["2017FH001-012"],"award-info":[{"award-number":["2017FH001-012"]}]},{"name":"Reserve Talents Foundation of Honghe University","award":["2015HB0304"],"award-info":[{"award-number":["2015HB0304"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["41874086"],"award-info":[{"award-number":["41874086"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J. Appl. Math. Comput."],"published-print":{"date-parts":[[2019,6]]},"DOI":"10.1007\/s12190-018-01228-9","type":"journal-article","created":{"date-parts":[[2018,12,11]],"date-time":"2018-12-11T08:33:40Z","timestamp":1544517220000},"page":"589-604","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Extrapolation multiscale multigrid method for solving 2D Poisson equation with sixth order compact scheme"],"prefix":"10.1007","volume":"60","author":[{"given":"Ming","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhoushun","family":"Zheng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5768-7972","authenticated-orcid":false,"given":"Kejia","family":"Pan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2018,12,11]]},"reference":[{"issue":"5","key":"1228_CR1","doi-asserted-by":"publisher","first-page":"2000","DOI":"10.1137\/080742737","volume":"48","author":"M Asadzadeh","year":"2010","unstructured":"Asadzadeh, M., Schatz, A.H., Wendland, W.: Asymptotic error expansions for the finite element method for second order elliptic problems in $R^N, N \\ge 2$, I: local interior expansions. SIAM J. Numer. Anal. 48(5), 2000\u20132017 (2010)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"1228_CR2","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1007\/BF01389427","volume":"49","author":"H Blum","year":"1986","unstructured":"Blum, H., Lin, Q., Rannacher, R.: Asymptotic error expansion and Richardson extrapolation for linear finite elements. Numer. Math. 49(1), 11\u201337 (1986)","journal-title":"Numer. Math."},{"key":"1228_CR3","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1007\/s002110050234","volume":"75","author":"FA Bornemann","year":"1996","unstructured":"Bornemann, F.A., Deuflhard, P.: The cascadic multigrid method for elliptic problems. Numer. Math. 75, 135\u2013152 (1996)","journal-title":"Numer. Math."},{"key":"1228_CR4","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719505","volume-title":"A Multigrid Tutorial","author":"WL Briggs","year":"2000","unstructured":"Briggs, W.L., Henson, V.E., McCormick, S.F.: A Multigrid Tutorial, 2nd edn. SIAM, Philadelphia (2000)","edition":"2"},{"issue":"3","key":"1228_CR5","first-page":"227","volume":"7","author":"CM Chen","year":"1989","unstructured":"Chen, C.M., Lin, Q.: Extrapolation of finite element approximation in a rectangular domain. J. Comput. Math. 7(3), 227\u2013233 (1989)","journal-title":"J. Comput. Math."},{"key":"1228_CR6","doi-asserted-by":"publisher","first-page":"1349","DOI":"10.1007\/s11425-008-0119-7","volume":"51","author":"CM Chen","year":"2008","unstructured":"Chen, C.M., Hu, H.L., et al.: Analysis of extrapolation cascadic multigrid method (EXCMG). Sci. China Ser. A Math. 51, 1349\u20131360 (2008)","journal-title":"Sci. China Ser. A Math."},{"issue":"6","key":"1228_CR7","doi-asserted-by":"publisher","first-page":"684","DOI":"10.4208\/jcm.1110-m11si05","volume":"29","author":"CM Chen","year":"2011","unstructured":"Chen, C.M., Shi, Z.C., Hu, H.L.: On extrapolation cascadic multigrid method. J. Comput. Math. 29(6), 684\u2013697 (2011)","journal-title":"J. Comput. Math."},{"issue":"12","key":"1228_CR8","doi-asserted-by":"publisher","first-page":"2711","DOI":"10.1007\/s11425-013-4732-8","volume":"56","author":"CM Chen","year":"2013","unstructured":"Chen, C.M., Hu, H.L.: Extrapolation cascadic multigrid method on piecewise uniform grid. Sci. China Math. 56(12), 2711\u20132722 (2013)","journal-title":"Sci. China Math."},{"key":"1228_CR9","volume-title":"Numerical Mathematics and Computing","author":"W Cheney","year":"1999","unstructured":"Cheney, W., Kincard, D.: Numerical Mathematics and Computing, 4th edn. Brooks\/Cole Publishing, Pacific Grove (1999)","edition":"4"},{"key":"1228_CR10","doi-asserted-by":"publisher","first-page":"431","DOI":"10.1016\/j.camwa.2015.12.007","volume":"71","author":"RX Dai","year":"2016","unstructured":"Dai, R.X., Zhang, J., Wang, Y.: Higher order ADI method with completed Richardson extrapolation for solving unsteady convection-diffusion equations. Comput. Math. Appl. 71, 431\u2013442 (2016)","journal-title":"Comput. Math. Appl."},{"issue":"8","key":"1228_CR11","doi-asserted-by":"publisher","first-page":"1865","DOI":"10.1016\/j.camwa.2017.02.020","volume":"73","author":"RX Dai","year":"2017","unstructured":"Dai, R.X., Lin, P.P., Zhang, J.: An efficient sixth-order solution for anisotropic Poisson equation with completed Richardson extrapolation and multiscale multigrid method. Comput. Math. Appl. 73(8), 1865\u20131877 (2017)","journal-title":"Comput. Math. Appl."},{"issue":"3","key":"1228_CR12","doi-asserted-by":"publisher","first-page":"75","DOI":"10.1016\/j.cam.2014.03.021","volume":"269","author":"RX Dai","year":"2014","unstructured":"Dai, R.X., Zhang, J., Wang, Y.: Multiple coarse grid acceleration for multiscale multigrid computation. J Comput. Appl. Math. 269(3), 75\u201385 (2014)","journal-title":"J Comput. Appl. Math."},{"key":"1228_CR13","doi-asserted-by":"publisher","first-page":"29","DOI":"10.1090\/conm\/180\/01954","volume":"180","author":"P Deuflhard","year":"1994","unstructured":"Deuflhard, P.: Cascadic conjugate gradient methods for elliptic partial differential equations: algorithm and numerical results. Contemp. Math. 180, 29\u201342 (1994)","journal-title":"Contemp. Math."},{"issue":"4","key":"1228_CR14","doi-asserted-by":"publisher","first-page":"1291","DOI":"10.1137\/S1064827501357190","volume":"23","author":"HC Elman","year":"2001","unstructured":"Elman, H.C., Ernst, O.G., Oleary, D.P.: A multigrid method enhanced by Krylov subspace iteration for discrete Helmholtz equations. SIAM J. Sci. Comput. 23(4), 1291\u20131315 (2001)","journal-title":"SIAM J. Sci. Comput."},{"issue":"4","key":"1228_CR15","doi-asserted-by":"publisher","first-page":"1471","DOI":"10.1137\/040615195","volume":"27","author":"YA Erlangga","year":"2006","unstructured":"Erlangga, Y.A., Oosterlee, C.W., Vuik, C.: A novel multigrid based precondtioner for heterogeneous Helmholtz problems. SIAM J. Sci. Comput. 27(4), 1471\u20131492 (2006)","journal-title":"SIAM J. Sci. Comput."},{"issue":"3","key":"1228_CR16","doi-asserted-by":"publisher","first-page":"1122","DOI":"10.1137\/040614293","volume":"44","author":"G Fairweather","year":"2006","unstructured":"Fairweather, G., Lin, Q., Lin, Y.P., et al.: Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods. SIAM J. Numer. Anal. 44(3), 1122\u20131149 (2006)","journal-title":"SIAM J. Numer. Anal."},{"issue":"18","key":"1228_CR17","doi-asserted-by":"publisher","first-page":"6381","DOI":"10.1016\/j.jcp.2010.04.048","volume":"229","author":"YB Ge","year":"2010","unstructured":"Ge, Y.B.: Multigrid method and fourth-order compact difference discretization scheme with unequal meshsizes for 3D poissson euqation. J. Comput. Phys. 229(18), 6381\u20136391 (2010)","journal-title":"J. Comput. Phys."},{"issue":"10","key":"1228_CR18","doi-asserted-by":"publisher","first-page":"4051","DOI":"10.1016\/j.jcp.2011.02.027","volume":"230","author":"YB Ge","year":"2011","unstructured":"Ge, Y.B.: Multigrid method based on the transformation-free HOC scheme on nonuniform grids for 2D convection diffusion problems. J. Comput. Phys. 230(10), 4051\u20134070 (2011)","journal-title":"J. Comput. Phys."},{"key":"1228_CR19","first-page":"663","volume":"132","author":"MM Gupta","year":"1997","unstructured":"Gupta, M.M., Kouatchou, J., Zhang, J.: Comparison of second and fourth order discretization for multigrid Poisson solver. J. Comput. Phys. 132, 663\u2013674 (1997)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"1228_CR20","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1016\/S0096-3003(99)00085-5","volume":"113","author":"MM Gupta","year":"2000","unstructured":"Gupta, M.M., Zhang, J.: High accuracy multigrid solution of the 3D convection-diffusion euqaiton. Appl. Math. Comput. 113(2), 249\u2013274 (2000)","journal-title":"Appl. Math. Comput."},{"key":"1228_CR21","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02427-0","volume-title":"Multi-grid Methods and Applications","author":"W Hackbusch","year":"1985","unstructured":"Hackbusch, W.: Multi-grid Methods and Applications. Springer, Berlin (1985)"},{"key":"1228_CR22","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1007\/s11425-013-4669-y","volume":"57","author":"HL Hu","year":"2014","unstructured":"Hu, H.L., Chen, C.M., Pan, K.J.: Asymptotic expansions of finite element solutions to Robin problems in $H^3$ and their application in extrapolation cascadic multigrid method. Sci. China Math. 57, 687\u2013698 (2014)","journal-title":"Sci. China Math."},{"key":"1228_CR23","doi-asserted-by":"publisher","first-page":"183","DOI":"10.4208\/jcm.1310-FE1","volume":"32","author":"HL Hu","year":"2014","unstructured":"Hu, H.L., Chen, C.M., Pan, K.J.: Time-extrapolation algorithm (TEA) for linear parabolic problems. J. Comput. Math. 32, 183\u2013194 (2014)","journal-title":"J. Comput. Math."},{"issue":"4","key":"1228_CR24","doi-asserted-by":"publisher","first-page":"759","DOI":"10.1016\/j.camwa.2017.05.023","volume":"74","author":"HL Hu","year":"2017","unstructured":"Hu, H.L., Ren, Z.Y., et al.: On the convergence of an extrapolation cascadic multigrid method for elliptic problems. Comput. Math. Appl. 74(4), 759\u2013771 (2017)","journal-title":"Comput. Math. Appl."},{"key":"1228_CR25","doi-asserted-by":"crossref","first-page":"10150","DOI":"10.1016\/j.amc.2013.03.095","volume":"219","author":"CL Li","year":"2013","unstructured":"Li, C.L.: A new parallel cascadic multigrid method. Appl. Math. Comput. 219, 10150\u201310157 (2013)","journal-title":"Appl. Math. Comput."},{"issue":"3","key":"1228_CR26","doi-asserted-by":"publisher","first-page":"920","DOI":"10.1002\/mma.3831","volume":"41","author":"M Li","year":"2018","unstructured":"Li, M., Li, C.L.: New cascadic multigrid methods for two-dimensional Poisson problem based on the fourth-order compact difference scheme. Math. Methods Appl. Sci. 41(3), 920\u2013928 (2018)","journal-title":"Math. Methods Appl. Sci."},{"issue":"4","key":"1228_CR27","doi-asserted-by":"publisher","first-page":"715","DOI":"10.1007\/s11075-015-0018-2","volume":"71","author":"M Li","year":"2016","unstructured":"Li, M., Li, C.L., et al.: Cascadic multigrid methods combined with sixth order compact scheme for Poisson equation. Numer. Algorithms 71(4), 715\u2013727 (2016)","journal-title":"Numer. Algorithms"},{"key":"1228_CR28","doi-asserted-by":"publisher","first-page":"178","DOI":"10.1186\/s13662-018-1631-x","volume":"2018","author":"M Li","year":"2018","unstructured":"Li, M., Zheng, Z.S., Pan, K.J.: An extrapolation full multigrid algorithm combined with fourth-order compact scheme for convection-diffusion equations. Adv. Differ. Equ. 2018, 178 (2018)","journal-title":"Adv. Differ. Equ."},{"issue":"4","key":"1228_CR29","first-page":"376","volume":"1","author":"Q Lin","year":"1983","unstructured":"Lin, Q., Lu, T., Shen, S.M.: Maximum norm estimate, extrapolation and optimal point of stresses for finite elelment methods on strogle regular triangulation. J. Comput. Math. 1(4), 376\u2013383 (1983)","journal-title":"J. Comput. Math."},{"key":"1228_CR30","doi-asserted-by":"crossref","unstructured":"Marchuk, G.I., Shaidurov, V.V.: Difference Methods and Their Extrapolations, vol. 5, no. pp. 195\u2013196. Springer, Berlin (1983)","DOI":"10.1007\/BF00046588"},{"issue":"4","key":"1228_CR31","doi-asserted-by":"publisher","first-page":"541","DOI":"10.1080\/00207169908804828","volume":"71","author":"M Othman","year":"1999","unstructured":"Othman, M., Abdullah, A.R.: An efficient multigrid Poisson solver. Int. J. Comput. Math. 71(4), 541\u2013553 (1999)","journal-title":"Int. J. Comput. Math."},{"issue":"6","key":"1228_CR32","doi-asserted-by":"publisher","first-page":"1347","DOI":"10.4208\/aamm.OA-2016-0019","volume":"9","author":"KJ Pan","year":"2016","unstructured":"Pan, K.J., He, D.D., Chen, C.M.: An extrapolation cascadic multigrid method for elliptic problems on reentrant domains. Adv. Appl. Math. Mech. 9(6), 1347\u20131363 (2016)","journal-title":"Adv. Appl. Math. Mech."},{"key":"1228_CR33","first-page":"2769","volume":"55","author":"KJ Pan","year":"2012","unstructured":"Pan, K.J., Tang, J.T., et al.: Extrapolation cascadic multigrid method for 2.5D direct current resistivity modeling (in Chinese). Chin. J. Geophys. 55, 2769\u20132778 (2012)","journal-title":"Chin. J. Geophys."},{"key":"1228_CR34","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1016\/j.jcp.2017.04.069","volume":"344","author":"KJ Pan","year":"2017","unstructured":"Pan, K.J., He, D.D., et al.: A new extrapolation cascadic multigrid method for three dimensional elliptic boundary value problems. J. Comput. Phys. 344, 499\u2013515 (2017)","journal-title":"J. Comput. Phys."},{"key":"1228_CR35","doi-asserted-by":"publisher","first-page":"1180","DOI":"10.1007\/s10915-016-0275-9","volume":"70","author":"KJ Pan","year":"2017","unstructured":"Pan, K.J., He, D.D., Hu, H.L.: An extrapolation cascadic multigrid method combined with a fourth-order compact scheme for 3D Poisson equation. J. Sci. Comput. 70, 1180\u20131203 (2017)","journal-title":"J. Sci. Comput."},{"key":"1228_CR36","doi-asserted-by":"publisher","first-page":"307","DOI":"10.1098\/rsta.1911.0009","volume":"210","author":"LF Richardson","year":"1910","unstructured":"Richardson, L.F.: The approximate solution of physical problems involving differential equations using finite differences, with an application to the stress in a masonry dam. Philos. Trans. R. Soc. Lond. Ser. A. 210, 307\u2013357 (1910)","journal-title":"Philos. Trans. R. Soc. Lond. Ser. A."},{"key":"1228_CR37","doi-asserted-by":"publisher","first-page":"299","DOI":"10.1098\/rsta.1927.0008","volume":"226","author":"LF Richardson","year":"1927","unstructured":"Richardson, L.F.: The deferred approach to the limit. I: the single lattice. Philos. Trans. R. Soc. Lond. Ser. A. 226, 299\u2013349 (1927)","journal-title":"Philos. Trans. R. Soc. Lond. Ser. A."},{"key":"1228_CR38","doi-asserted-by":"publisher","first-page":"365374","DOI":"10.1002\/cnm.1640090502","volume":"9","author":"PJ Roache","year":"1993","unstructured":"Roache, P.J., Knupp, P.M.: Completed Richardson extrapolation. Commun. Numer. Methods Eng. 9, 365374 (1993)","journal-title":"Commun. Numer. Methods Eng."},{"key":"1228_CR39","doi-asserted-by":"publisher","first-page":"1765","DOI":"10.1007\/s11425-007-0127-z","volume":"50","author":"ZC Shi","year":"2007","unstructured":"Shi, Z.C., Xu, X.J., Huang, Y.Q.: Economical cascadic multigrid methods (ECMG). Sci. China Ser. A Math. 50, 1765\u20131780 (2007)","journal-title":"Sci. China Ser. A Math."},{"issue":"6","key":"1228_CR40","doi-asserted-by":"publisher","first-page":"A2819","DOI":"10.1137\/13092349X","volume":"36","author":"CC Stolk","year":"2013","unstructured":"Stolk, C.C., Ahmed, M., Bhowmik, S.K.: A multigrid method for the Helmholtz equation with optimized coarse grid corrections. SIAM J. Sci. Comput. 36(6), A2819\u2013A2841 (2013)","journal-title":"SIAM J. Sci. Comput."},{"issue":"1","key":"1228_CR41","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1002\/num.10075","volume":"20","author":"HW Sun","year":"2004","unstructured":"Sun, H.W., Zhang, J.: A high order finite difference discretization strategy based on extrapolation for convection-diffusion equations. Numer. Methods Partial Differ. Equ. 20(1), 18\u201332 (2004)","journal-title":"Numer. Methods Partial Differ. Equ."},{"issue":"2\u20133","key":"1228_CR42","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1002\/nla.697","volume":"17","author":"A Thekale","year":"2010","unstructured":"Thekale, A., Gradl, T., et al.: Optimizing the number of multigrid cycle in the full multigrid algorithm. Numer. Linear Algebra 17(2\u20133), 199\u2013210 (2010)","journal-title":"Numer. Linear Algebra"},{"issue":"2","key":"1228_CR43","first-page":"109","volume":"26","author":"ZF Tian","year":"1996","unstructured":"Tian, Z.F.: Compact high-order difference methods for solving the Poisson equation (in Chinese). J. Northwest Univ. 26(2), 109\u2013114 (1996)","journal-title":"J. Northwest Univ."},{"key":"1228_CR44","volume-title":"A. Schller, Multigrid","author":"U Trottenberg","year":"2001","unstructured":"Trottenberg, U., Oosterlee, C.W.: A. Schller, Multigrid. Academic Press, London (2001)"},{"issue":"1","key":"1228_CR45","doi-asserted-by":"publisher","first-page":"137","DOI":"10.1016\/j.jcp.2008.09.002","volume":"228","author":"Y Wang","year":"2009","unstructured":"Wang, Y., Zhang, J.: Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D Poisson equation. J. Comput. Phys. 228(1), 137\u2013146 (2009)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"1228_CR46","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1080\/00207160.2014.893296","volume":"92","author":"Y Wang","year":"2015","unstructured":"Wang, Y., Su, Y., Dai, R.X., Zhang, J.: A 15-point high-order compact scheme with multigrid computation for solving 3D convection diffusion equations. Int. J. Comput. Math. 92(2), 411\u2013423 (2015)","journal-title":"Int. J. Comput. Math."},{"key":"1228_CR47","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/j.amc.2013.12.096","volume":"230","author":"SY Zhai","year":"2014","unstructured":"Zhai, S.Y., Feng, X.L., He, Y.N.: A new method to deduce high-order compact difference schemes for two-dimensional Poisson equation. Appl. Math. Comput. 230, 9\u201326 (2014)","journal-title":"Appl. Math. Comput."},{"key":"1228_CR48","doi-asserted-by":"publisher","first-page":"170","DOI":"10.1006\/jcph.2002.7049","volume":"179","author":"J Zhang","year":"2002","unstructured":"Zhang, J.: Multigrid method and fourth order compact difference scheme for 2D Poisson equation with unequal meshsize discretization. J. Comput. Phys. 179, 170\u2013179 (2002)","journal-title":"J. Comput. Phys."}],"container-title":["Journal of Applied Mathematics and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-018-01228-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s12190-018-01228-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12190-018-01228-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,9,8]],"date-time":"2022-09-08T00:05:15Z","timestamp":1662595515000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s12190-018-01228-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,12,11]]},"references-count":48,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2019,6]]}},"alternative-id":["1228"],"URL":"https:\/\/doi.org\/10.1007\/s12190-018-01228-9","relation":{},"ISSN":["1598-5865","1865-2085"],"issn-type":[{"value":"1598-5865","type":"print"},{"value":"1865-2085","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,12,11]]},"assertion":[{"value":"7 July 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 December 2018","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}