{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:39:40Z","timestamp":1740123580817,"version":"3.37.3"},"reference-count":44,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["Grant 11502054"],"award-info":[{"award-number":["Grant 11502054"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100014857","name":"NSFC-Guangdong Joint Fund","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100014857","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001809","name":"the National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["Grant 11872151"],"award-info":[{"award-number":["Grant 11872151"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2021,1]]},"DOI":"10.1007\/s10915-020-01383-x","type":"journal-article","created":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T15:02:35Z","timestamp":1609513355000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Novel Parallel Computing Strategy for Compact Difference Schemes with Consistent Accuracy and Dispersion"],"prefix":"10.1007","volume":"86","author":[{"given":"Jinqiang","family":"Chen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3585-3815","authenticated-orcid":false,"given":"Peixiang","family":"Yu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hua","family":"Ouyang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhen F.","family":"Tian","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,1,1]]},"reference":[{"issue":"1","key":"1383_CR1","doi-asserted-by":"publisher","first-page":"16","DOI":"10.1016\/0021-9991(92)90324-R","volume":"103","author":"SK Lele","year":"1992","unstructured":"Lele, S.K.: Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103(1), 16\u201342 (1992)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"1383_CR2","doi-asserted-by":"publisher","first-page":"364","DOI":"10.2514\/1.24475","volume":"46","author":"DJ Bodony","year":"2008","unstructured":"Bodony, D.J., Lele, S.K.: Current status of jet noise predictions using large-eddy simulation. AIAA J. 46(2), 364\u2013380 (2008)","journal-title":"AIAA J."},{"issue":"4","key":"1383_CR3","doi-asserted-by":"publisher","first-page":"463","DOI":"10.1016\/j.compfluid.2007.02.007","volume":"37","author":"C Schaupp","year":"2008","unstructured":"Schaupp, C., Sesterhenn, J., Friedrich, R.: On a method for direct numerical simulation of shear layer\/compression wave interaction for aeroacoustic investigations. Comput. Fluids 37(4), 463\u2013474 (2008). https:\/\/doi.org\/10.1016\/j.compfluid.2007.02.007","journal-title":"Comput. Fluids"},{"issue":"1","key":"1383_CR4","doi-asserted-by":"publisher","first-page":"188","DOI":"10.1088\/0256-307X\/25\/1\/051","volume":"25","author":"DX Fu","year":"2008","unstructured":"Fu, D.X., Ma, Y.W., Li, X.L.: Direct numerical simulation of three-dimensional Richtmyer\u2013Meshkov instability. Chin. Phys. Lett. 25(1), 188\u2013190 (2008). https:\/\/doi.org\/10.1088\/0256-307X\/25\/1\/051","journal-title":"Chin. Phys. Lett."},{"issue":"16","key":"1383_CR5","doi-asserted-by":"publisher","first-page":"5989","DOI":"10.1016\/j.jcp.2009.05.010","volume":"228","author":"S Laizet","year":"2009","unstructured":"Laizet, S., Lamballais, E.: High-order compact schemes for incompressible flows: a simple and efficient method with quasi-spectral accuracy. J. Comput. Phys. 228(16), 5989\u20136015 (2009). https:\/\/doi.org\/10.1016\/j.jcp.2009.05.010","journal-title":"J. Comput. Phys."},{"issue":"11","key":"1383_CR6","doi-asserted-by":"publisher","first-page":"1735","DOI":"10.1002\/fld.2480","volume":"67","author":"S Laizet","year":"2011","unstructured":"Laizet, S., Li, N.: Incompact3d: a powerful tool to tackle turbulence problems with up to O(105) computational cores. Int. J. Numer. Methods Fluids 67(11), 1735\u20131757 (2011). https:\/\/doi.org\/10.1002\/fld.2480","journal-title":"Int. J. Numer. Methods Fluids"},{"issue":"17","key":"1383_CR7","doi-asserted-by":"publisher","first-page":"6404","DOI":"10.1016\/j.jcp.2010.12.031","volume":"230","author":"ZF Tian","year":"2011","unstructured":"Tian, Z.F., Yu, P.X.: An efficient compact difference scheme for solving the streamfunction formulation of the incompressible NavierStokes equations. J. Comput. Phys. 230(17), 6404\u20136419 (2011). https:\/\/doi.org\/10.1016\/j.jcp.2010.12.031","journal-title":"J. Comput. Phys."},{"key":"1383_CR8","doi-asserted-by":"publisher","first-page":"710","DOI":"10.1016\/j.jcp.2015.08.003","volume":"300","author":"R Oguic","year":"2015","unstructured":"Oguic, R., Viazzo, S., Poncet, S.: A parallelized multidomain compact solver for incompressible turbulent flows in cylindrical geometries. J. Comput. Phys. 300, 710\u2013731 (2015). https:\/\/doi.org\/10.1016\/j.jcp.2015.08.003","journal-title":"J. Comput. Phys."},{"issue":"7","key":"1383_CR9","doi-asserted-by":"publisher","first-page":"1461","DOI":"10.1016\/j.camwa.2017.01.024","volume":"73","author":"PX Yu","year":"2017","unstructured":"Yu, P.X., Tian, Z.F., Zhang, H.: A rational high-order compact difference method for the steady-state stream functionvorticity formulation of the NavierStokes equations. Comput. Math. Appl. 73(7), 1461\u20131484 (2017). https:\/\/doi.org\/10.1016\/j.camwa.2017.01.024","journal-title":"Comput. Math. Appl."},{"issue":"9","key":"1383_CR10","doi-asserted-by":"publisher","first-page":"3224","DOI":"10.1016\/j.camwa.2018.01.043","volume":"75","author":"PX Yu","year":"2018","unstructured":"Yu, P.X., Tian, Z.F.: An upwind compact difference scheme for solving the streamfunction-velocity formulation of the unsteady incompressible Navier-Stokes equation. Comput. Math. Appl. 75(9), 3224\u20133243 (2018). https:\/\/doi.org\/10.1016\/j.camwa.2018.01.043","journal-title":"Comput. Math. Appl."},{"issue":"1","key":"1383_CR11","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1137\/1025002","volume":"25","author":"A Harten","year":"1983","unstructured":"Harten, A., Lax, P.D., Leer, B.V.: On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Rev. 25(1), 35\u201361 (1983)","journal-title":"SIAM Rev."},{"key":"1383_CR12","first-page":"234","volume-title":"Computational Fluid Dynamics Review","author":"DX Fu","year":"1995","unstructured":"Fu, D.X., Ma, Y.W.: High resolution scheme. In: Hafez, M., Oshima, K. (eds.) Computational Fluid Dynamics Review, pp. 234\u2013250. Wiley, New York (1995)"},{"issue":"2","key":"1383_CR13","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1006\/jcph.1998.5887","volume":"140","author":"AI Tolstykh","year":"1998","unstructured":"Tolstykh, A.I., Lipavskii, M.V.: On performance of methods with third-and fifth-order compact upwind differencing. J. Comput. Phys. 140(2), 205\u2013232 (1998)","journal-title":"J. Comput. Phys."},{"issue":"5","key":"1383_CR14","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1002\/(SICI)1097-0363(19990715)30:5<509::AID-FLD851>3.0.CO;2-E","volume":"30","author":"YW Ma","year":"1999","unstructured":"Ma, Y.W., Fu, D.X., Kobayashi, T., Taniguchi, N.: Numerical solution of the incompressible Navier\u2013Stokes equations with an upwind compact difference scheme. Int. J. Numer. Methods Fluids 30(5), 509\u2013521 (1999)","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"1383_CR15","unstructured":"Li, X.L., Ma, Y.W., Fu, D.X.: High efficient method for incompressible N-S equations and analysis of two-dimensional turbulent channel flow. Acta Mechanica Sinica (2001) (in Chinese)"},{"issue":"3","key":"1383_CR16","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1007\/s11433-010-4220-x","volume":"54","author":"ZW He","year":"2011","unstructured":"He, Z.W., Li, X.L., Fu, D.X., Ma, Y.W.: A 5th order monotonicity-preserving upwind compact difference scheme. Sci. China (Phys. Mech. Astron.) 54(3), 511\u2013522 (2011)","journal-title":"Sci. China (Phys. Mech. Astron.)"},{"issue":"2","key":"1383_CR17","doi-asserted-by":"publisher","first-page":"262","DOI":"10.1006\/jcph.1993.1142","volume":"107","author":"CK Tam","year":"1993","unstructured":"Tam, C.K., Webb, J.C.: Dispersion-relation-preserving finite difference schemes for computational acoustics. J. Comput. Phys. 107(2), 262\u2013281 (1993)","journal-title":"J. Comput. Phys."},{"issue":"6","key":"1383_CR18","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1002\/nme.3184","volume":"88","author":"ZF Tian","year":"2011","unstructured":"Tian, Z.F., Liang, X., Yu, P.X.: A higher order compact finite difference algorithm for solving the incompressible Navier\u2013Stokes equations. Int. J. Numer. Methods Eng. 88(6), 511\u2013532 (2011). https:\/\/doi.org\/10.1002\/nme.3184","journal-title":"Int. J. Numer. Methods Eng."},{"key":"1383_CR19","doi-asserted-by":"publisher","first-page":"405","DOI":"10.1016\/j.ijheatmasstransfer.2013.12.035","volume":"71","author":"Q Qin","year":"2014","unstructured":"Qin, Q., Xia, Z.A., Tian, Z.F.: High accuracy numerical investigation of double-diffusive convection in a rectangular enclosure with horizontal temperature and concentration gradients. Int. J. Heat Mass Transf. 71, 405\u2013423 (2014). https:\/\/doi.org\/10.1016\/j.ijheatmasstransfer.2013.12.035","journal-title":"Int. J. Heat Mass Transf."},{"issue":"8","key":"1383_CR20","doi-asserted-by":"publisher","first-page":"1241","DOI":"10.1016\/0167-8191(95)00018-J","volume":"21","author":"X Sun","year":"1995","unstructured":"Sun, X.: Application and accuracy of the parallel diagonal dominant algorithm. Parallel Comput. 21(8), 1241\u20131267 (1995). https:\/\/doi.org\/10.1016\/0167-8191(95)00018-J","journal-title":"Parallel Comput."},{"key":"1383_CR21","doi-asserted-by":"crossref","unstructured":"Gaitonde, D., Visbal, M.: Further development of a Navier\u2013Stokes solution procedure based on higher-order formulas. In: 37th Aerospace Sciences Meeting and Exhibit 557 (1999)","DOI":"10.2514\/6.1999-557"},{"issue":"1","key":"1383_CR22","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1006\/jcph.2000.6497","volume":"161","author":"A Povitsky","year":"2000","unstructured":"Povitsky, A., Morris, P.J.: A higher-order compact method in space and time based on parallel implementation of the Thomas algorithm. J. Comput. Phys. 161(1), 182\u2013203 (2000). https:\/\/doi.org\/10.1006\/jcph.2000.6497","journal-title":"J. Comput. Phys."},{"issue":"6","key":"1383_CR23","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1080\/10618560310001615060","volume":"17","author":"F Ladeinde","year":"2003","unstructured":"Ladeinde, F., Cai, X., Visbal, M.R., Gaitonde, D.: Parallel implementation of curvilinear high-order formulas. Int. J. Comput. Fluid Dyn. 17(6), 467\u2013485 (2003). https:\/\/doi.org\/10.1080\/10618560310001615060","journal-title":"Int. J. Comput. Fluid Dyn."},{"issue":"2","key":"1383_CR24","doi-asserted-by":"publisher","first-page":"654","DOI":"10.1016\/j.jcp.2006.05.018","volume":"220","author":"TK Sengupta","year":"2007","unstructured":"Sengupta, T.K., Dipankar, A., Rao, A.K.: A new compact scheme for parallel computing using domain decomposition. J. Comput. Phys. 220(2), 654\u2013677 (2007)","journal-title":"J. Comput. Phys."},{"issue":"19","key":"1383_CR25","doi-asserted-by":"publisher","first-page":"7473","DOI":"10.1016\/j.jcp.2009.07.005","volume":"228","author":"J Chao","year":"2009","unstructured":"Chao, J., Haselbacher, A., Balachandar, S.: A massively parallel multi-block hybrid compact-WENO scheme for compressible flows. J. Comput. Phys. 228(19), 7473\u20137491 (2009)","journal-title":"J. Comput. Phys."},{"key":"1383_CR26","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1016\/j.compfluid.2012.01.004","volume":"58","author":"JW Kim","year":"2012","unstructured":"Kim, J.W., Sandberg, R.D.: Efficient parallel computing with a compact finite difference scheme. Comput. Fluids 58, 70\u201387 (2012)","journal-title":"Comput. Fluids"},{"key":"1383_CR27","doi-asserted-by":"publisher","first-page":"168","DOI":"10.1016\/j.jcp.2013.01.046","volume":"241","author":"JW Kim","year":"2013","unstructured":"Kim, J.W.: Quasi-disjoint pentadiagonal matrix systems for the parallelization of compact finite-difference schemes and filters. J. Comput. Phys. 241, 168\u2013194 (2013). https:\/\/doi.org\/10.1016\/j.jcp.2013.01.046","journal-title":"J. Comput. Phys."},{"key":"1383_CR28","unstructured":"Capuano, F., Mastellone, A.: Parallelization of compact finite-volume schemes for turbulent compressible flow. In: Proceedings of 27th International Conference on Parallel Computational Fluid Dynamics, 2015. (2015)"},{"issue":"4\u20135","key":"1383_CR29","doi-asserted-by":"publisher","first-page":"214","DOI":"10.1080\/10618562.2017.1326592","volume":"31","author":"S Abide","year":"2017","unstructured":"Abide, S., Binous, M.S., Zeghmati, B.: An efficient parallel high-order compact scheme for the 3D incompressible Navier\u2013Stokes equations. Int. J. Comput. Fluid Dyn. 31(4\u20135), 214\u2013229 (2017). https:\/\/doi.org\/10.1080\/10618562.2017.1326592","journal-title":"Int. J. Comput. Fluid Dyn."},{"issue":"01","key":"1383_CR30","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1142\/S0129053393000025","volume":"5","author":"NH Naik","year":"1993","unstructured":"Naik, N.H., Naik, V.K., Nicoules, M.: Parallelization of a class of implicit finite difference schemes in computational fluid dynamics. Int. J. High Speed Comput. 5(01), 1\u201350 (1993)","journal-title":"Int. J. High Speed Comput."},{"key":"1383_CR31","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1016\/j.jpdc.2015.10.004","volume":"87","author":"AV Terekhov","year":"2016","unstructured":"Terekhov, A.V.: A highly scalable parallel algorithm for solving Toeplitz tridiagonal systems of linear equations. J. Parallel Distrib. Comput. 87, 102\u2013108 (2016)","journal-title":"J. Parallel Distrib. Comput."},{"issue":"5","key":"1383_CR32","doi-asserted-by":"publisher","first-page":"2886","DOI":"10.1016\/j.jcp.2007.11.025","volume":"227","author":"J Larsson","year":"2008","unstructured":"Larsson, J., Gustafsson, B.: Stability criteria for hybrid difference methods. J. Comput. Phys. 227(5), 2886\u20132898 (2008)","journal-title":"J. Comput. Phys."},{"issue":"5","key":"1383_CR33","doi-asserted-by":"publisher","first-page":"547","DOI":"10.1002\/(SICI)1097-0363(19970915)25:5<547::AID-FLD576>3.0.CO;2-V","volume":"25","author":"A Povitsky","year":"1997","unstructured":"Povitsky, A., Wolfshtein, M.: Multidomain implicit numerical scheme. Int. J. Numer. Methods Fluids 25(5), 547\u2013566 (1997)","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"1383_CR34","unstructured":"Yu, S., Tsai, Y., Hsieh, K.: Runge\u2013Kutta methods combined with compact difference schemes for the unsteady Euler equations. In: 28th Joint Propulsion Conference and Exhibit, 19923210 (1992)"},{"key":"1383_CR35","doi-asserted-by":"crossref","unstructured":"Van Leer, B.: Flux-vector splitting for the Euler equations. In: Eighth International Conference on Numerical Methods in Fluid Dynamics, pp. 507-512. Springer, Berlin (1982)","DOI":"10.1007\/3-540-11948-5_66"},{"issue":"1","key":"1383_CR36","doi-asserted-by":"publisher","first-page":"3","DOI":"10.1016\/0167-2789(84)90510-4","volume":"12","author":"DH Sharp","year":"1984","unstructured":"Sharp, D.H.: An overview of Rayleigh\u2013Taylor instability. Physica D 12(1), 3\u201318 (1984). https:\/\/doi.org\/10.1016\/0167-2789(84)90510-4","journal-title":"Physica D"},{"issue":"10","key":"1383_CR37","doi-asserted-by":"publisher","first-page":"2650","DOI":"10.1063\/1.869050","volume":"8","author":"R Samtaney","year":"1996","unstructured":"Samtaney, R., Pullin, D.I.: On initial value and self similar solutions of the compressible Euler equations. Phys. Fluids 8(10), 2650\u20132655 (1996). https:\/\/doi.org\/10.1063\/1.869050","journal-title":"Phys. Fluids"},{"issue":"2","key":"1383_CR38","doi-asserted-by":"publisher","first-page":"690","DOI":"10.1016\/S0021-9991(03)00094-9","volume":"186","author":"J Shi","year":"2003","unstructured":"Shi, J., Zhang, Y., Shu, C.: Resolution of high order WENO schemes for complicated flow structures. J. Comput. Phys. 186(2), 690\u2013696 (2003)","journal-title":"J. Comput. Phys."},{"issue":"5","key":"1383_CR39","doi-asserted-by":"publisher","first-page":"1263","DOI":"10.1063\/1.1359762","volume":"13","author":"JT Waddell","year":"2001","unstructured":"Waddell, J.T., Niederhaus, C.E., Jacobs, J.W.: Experimental study of Rayleigh\u2014Taylor instability: low Atwood number liquid systems with single-mode initial perturbations. Phys. Fluids 13(5), 1263\u20131273 (2001). https:\/\/doi.org\/10.1063\/1.1359762","journal-title":"Phys. Fluids"},{"issue":"3","key":"1383_CR40","doi-asserted-by":"publisher","first-page":"649","DOI":"10.1016\/j.cpc.2010.11.013","volume":"182","author":"ZF Tian","year":"2011","unstructured":"Tian, Z.F.: A rational high-order compact ADI method for unsteady convection\u2013diffusion equations. Comput. Phys. Commun. 182(3), 649\u2013662 (2011). https:\/\/doi.org\/10.1016\/j.cpc.2010.11.013","journal-title":"Comput. Phys. Commun."},{"issue":"1\u20133","key":"1383_CR41","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/0168-9274(93)90112-5","volume":"12","author":"MH Carpenter","year":"1993","unstructured":"Carpenter, M.H., Gottlieb, D., Abarbanel, S.: Stable and accurate boundary treatments for compact, high-order finite-difference schemes. Appl. Numer. Math. 12(1\u20133), 55\u201387 (1993)","journal-title":"Appl. Numer. Math."},{"issue":"2","key":"1383_CR42","doi-asserted-by":"publisher","first-page":"220","DOI":"10.1006\/jcph.1994.1057","volume":"111","author":"MH Carpenter","year":"1994","unstructured":"Carpenter, M.H., Gottlieb, D., Abarbanel, S.: Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes. J. Comput. Phys. 111(2), 220\u2013236 (1994)","journal-title":"J. Comput. Phys."},{"key":"1383_CR43","unstructured":"Carpenter, M. H., Kennedy, C. A.: Fourth-order 2N-storage Runge\u2013Kutta schemes Nasa Technical Memorandum, 1\u201326 (1994)"},{"issue":"3","key":"1383_CR44","doi-asserted-by":"publisher","first-page":"177","DOI":"10.1016\/S0168-9274(99)00141-5","volume":"35","author":"CA Kennedy","year":"2000","unstructured":"Kennedy, C.A., Carpenter, M.H., Lewis, R.M.: Low-storage, explicit Runge\u2013Kutta schemes for the compressible Navier\u2013Stokes equations. Appl. Numer. Math. 35(3), 177\u2013219 (2000)","journal-title":"Appl. Numer. Math."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-020-01383-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-020-01383-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-020-01383-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,1,18]],"date-time":"2021-01-18T21:11:49Z","timestamp":1611004309000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-020-01383-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":44,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["1383"],"URL":"https:\/\/doi.org\/10.1007\/s10915-020-01383-x","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"9 May 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"11 October 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 December 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 January 2021","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"5"}}