{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,12]],"date-time":"2026-06-12T15:30:51Z","timestamp":1781278251366,"version":"3.54.1"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,1,9]],"date-time":"2023-01-09T00:00:00Z","timestamp":1673222400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,1,9]],"date-time":"2023-01-09T00:00:00Z","timestamp":1673222400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1720001"],"award-info":[{"award-number":["1720001"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1720001"],"award-info":[{"award-number":["1720001"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["2120413"],"award-info":[{"award-number":["2120413"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1912715"],"award-info":[{"award-number":["1912715"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2023,2]]},"DOI":"10.1007\/s10915-022-02091-4","type":"journal-article","created":{"date-parts":[[2023,1,9]],"date-time":"2023-01-09T14:04:46Z","timestamp":1673273086000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":16,"title":["Second Order, Unconditionally Stable, Linear Ensemble Algorithms for the Magnetohydrodynamics Equations"],"prefix":"10.1007","volume":"94","author":[{"given":"John","family":"Carter","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2859-7609","authenticated-orcid":false,"given":"Daozhi","family":"Han","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Nan","family":"Jiang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,1,9]]},"reference":[{"issue":"1","key":"2091_CR1","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1515\/cmam-2016-0033","volume":"17","author":"M Mohebujjaman","year":"2017","unstructured":"Mohebujjaman, M., Rebholz, L.G.: An efficient algorithm for computation of MHD flow ensembles. Comput. Methods Appl. Math. 17(1), 121\u2013137 (2017). https:\/\/doi.org\/10.1515\/cmam-2016-0033","journal-title":"Comput. Methods Appl. Math."},{"issue":"6","key":"2091_CR2","doi-asserted-by":"publisher","first-page":"1361","DOI":"10.2140\/apde.2017.10.1361","volume":"10","author":"D Wei","year":"2017","unstructured":"Wei, D., Zhang, Z.: Global well-posedness of the MHD equations in a homogeneous magnetic field. Anal. PDE 10(6), 1361\u20131406 (2017). https:\/\/doi.org\/10.2140\/apde.2017.10.1361","journal-title":"Anal. PDE"},{"key":"2091_CR3","doi-asserted-by":"publisher","first-page":"97","DOI":"10.1016\/j.aml.2013.06.017","volume":"27","author":"C Trenchea","year":"2014","unstructured":"Trenchea, C.: Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows. Appl. Math. Lett. 27, 97\u2013100 (2014). https:\/\/doi.org\/10.1016\/j.aml.2013.06.017","journal-title":"Appl. Math. Lett."},{"key":"2091_CR4","unstructured":"Mohebujjaman, M., Wang, H., Rebholz, L.G., Mahbub, M.A.A.: An efficient algorithm for simulating ensembles of parameterized MHD flow problems (2021). arXiv:2108.05110"},{"issue":"4","key":"2091_CR5","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1615\/Int.J.UncertaintyQuantification.2014007691","volume":"4","author":"N Jiang","year":"2014","unstructured":"Jiang, N., Layton, W.: An algorithm for fast calculation of flow ensembles. Int. J. Uncertain. Quantif. 4(4), 273\u2013301 (2014). https:\/\/doi.org\/10.1615\/Int.J.UncertaintyQuantification.2014007691","journal-title":"Int. J. Uncertain. Quantif."},{"issue":"3","key":"2091_CR6","doi-asserted-by":"publisher","first-page":"630","DOI":"10.1002\/num.21908","volume":"31","author":"N Jiang","year":"2015","unstructured":"Jiang, N., Layton, W.: Numerical analysis of two ensemble eddy viscosity numerical regularizations of fluid motion. Numer. Methods Partial Differ. Equ. 31(3), 630\u2013651 (2015). https:\/\/doi.org\/10.1002\/num.21908","journal-title":"Numer. Methods Partial Differ. Equ."},{"issue":"1","key":"2091_CR7","doi-asserted-by":"publisher","first-page":"264","DOI":"10.1007\/s10915-014-9932-z","volume":"64","author":"N Jiang","year":"2015","unstructured":"Jiang, N.: A higher order ensemble simulation algorithm for fluid flows. J. Sci. Comput. 64(1), 264\u2013288 (2015). https:\/\/doi.org\/10.1007\/s10915-014-9932-z","journal-title":"J. Sci. Comput."},{"issue":"1","key":"2091_CR8","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1002\/num.22070","volume":"33","author":"N Jiang","year":"2017","unstructured":"Jiang, N.: A second-order ensemble method based on a blended backward differentiation formula timestepping scheme for time-dependent Navier\u2013Stokes equations. Numer. Methods Partial Differ. Equ. 33(1), 34\u201361 (2017). https:\/\/doi.org\/10.1002\/num.22070","journal-title":"Numer. Methods Partial Differ. Equ."},{"issue":"1","key":"2091_CR9","doi-asserted-by":"publisher","first-page":"286","DOI":"10.1137\/16M1056444","volume":"55","author":"M Gunzburger","year":"2017","unstructured":"Gunzburger, M., Jiang, N., Schneier, M.: An ensemble-proper orthogonal decomposition method for the nonstationary Navier\u2013Stokes equations. SIAM J. Numer. Anal. 55(1), 286\u2013304 (2017). https:\/\/doi.org\/10.1137\/16M1056444","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"2091_CR10","doi-asserted-by":"publisher","first-page":"816","DOI":"10.1137\/17M1135104","volume":"56","author":"JA Fiordilino","year":"2018","unstructured":"Fiordilino, J.A.: A second order ensemble time stepping algorithm for natural convection. SIAM J. Numer. Anal. 56(2), 816\u2013837 (2018). https:\/\/doi.org\/10.1137\/17M1135104","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"2091_CR11","doi-asserted-by":"publisher","first-page":"315","DOI":"10.1007\/s10915-019-00939-w","volume":"80","author":"N Jiang","year":"2019","unstructured":"Jiang, N.: A pressure-correction ensemble scheme for computing evolutionary Boussinesq equations. J. Sci. Comput. 80(1), 315\u2013350 (2019). https:\/\/doi.org\/10.1007\/s10915-019-00939-w","journal-title":"J. Sci. Comput."},{"issue":"3","key":"2091_CR12","doi-asserted-by":"publisher","first-page":"1180","DOI":"10.1093\/imanum\/dry029","volume":"39","author":"M Gunzburger","year":"2019","unstructured":"Gunzburger, M., Jiang, N., Wang, Z.: An efficient algorithm for simulating ensembles of parameterized flow problems. IMA J. Numer. Anal. 39(3), 1180\u20131205 (2019). https:\/\/doi.org\/10.1093\/imanum\/dry029","journal-title":"IMA J. Numer. Anal."},{"key":"2091_CR13","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1016\/j.cma.2018.08.020","volume":"343","author":"N Jiang","year":"2019","unstructured":"Jiang, N., Qiu, C.: An efficient ensemble algorithm for numerical approximation of stochastic Stokes-Darcy equations. Comput. Methods Appl. Mech. Eng. 343, 249\u2013275 (2019). https:\/\/doi.org\/10.1016\/j.cma.2018.08.020","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"1","key":"2091_CR14","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1137\/20M1321644","volume":"59","author":"N Jiang","year":"2021","unstructured":"Jiang, N., Li, Y., Yang, H.: An artificial compressibility Crank\u2013Nicolson leap-frog method for the Stokes-Darcy model and application in ensemble simulations. SIAM J. Numer. Anal. 59(1), 401\u2013428 (2021). https:\/\/doi.org\/10.1137\/20M1321644","journal-title":"SIAM J. Numer. Anal."},{"issue":"6","key":"2091_CR15","doi-asserted-by":"publisher","first-page":"2129","DOI":"10.1002\/num.22281","volume":"34","author":"N Jiang","year":"2018","unstructured":"Jiang, N., Schneier, M.: An efficient, partitioned ensemble algorithm for simulating ensembles of evolutionary MHD flows at low magnetic Reynolds number. Numer. Methods Partial Differ. Equ. 34(6), 2129\u20132152 (2018). https:\/\/doi.org\/10.1002\/num.22281","journal-title":"Numer. Methods Partial Differ. Equ."},{"key":"2091_CR16","doi-asserted-by":"publisher","DOI":"10.1002\/num.22843","author":"J Carter","year":"2022","unstructured":"Carter, J., Jiang, N.: Numerical analysis of a second order ensemble method for evolutionary magnetohydrodynamics equations at small magnetic Reynolds number. Numer. Methods Partial Differ. Equ. (2022). https:\/\/doi.org\/10.1002\/num.22843","journal-title":"Numer. Methods Partial Differ. Equ."},{"key":"2091_CR17","doi-asserted-by":"publisher","first-page":"183","DOI":"10.1103\/PhysRev.79.183","volume":"79","author":"WM Elsasser","year":"1950","unstructured":"Elsasser, W.M.: The hydromagnetic equations. Phys. Rev. 79, 183\u2013183 (1950). https:\/\/doi.org\/10.1103\/PhysRev.79.183","journal-title":"Phys. Rev."},{"key":"2091_CR18","doi-asserted-by":"publisher","first-page":"140","DOI":"10.1016\/j.jcp.2012.09.020","volume":"234","author":"F Guill\u00e9n-Gonz\u00e1lez","year":"2013","unstructured":"Guill\u00e9n-Gonz\u00e1lez, F., Tierra, G.: On linear schemes for a Cahn\u2013Hilliard diffuse interface model. J. Comput. Phys. 234, 140\u2013171 (2013). https:\/\/doi.org\/10.1016\/j.jcp.2012.09.020","journal-title":"J. Comput. Phys."},{"key":"2091_CR19","doi-asserted-by":"publisher","first-page":"104","DOI":"10.1016\/j.jcp.2016.12.025","volume":"333","author":"X Yang","year":"2017","unstructured":"Yang, X., Zhao, J., Wang, Q.: Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method. J. Comput. Phys. 333, 104\u2013127 (2017). https:\/\/doi.org\/10.1016\/j.jcp.2016.12.025","journal-title":"J. Comput. Phys."},{"key":"2091_CR20","doi-asserted-by":"publisher","first-page":"1005","DOI":"10.1016\/j.cma.2017.02.011","volume":"318","author":"X Yang","year":"2017","unstructured":"Yang, X., Ju, L.: Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model. Comput. Methods Appl. Mech. Eng. 318, 1005\u20131029 (2017). https:\/\/doi.org\/10.1016\/j.cma.2017.02.011","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"2091_CR21","doi-asserted-by":"publisher","first-page":"109610","DOI":"10.1016\/j.jcp.2020.109610","volume":"419","author":"Y Gong","year":"2020","unstructured":"Gong, Y., Zhao, J., Wang, Q.: Arbitrarily high-order linear energy stable schemes for gradient flow models. J. Comput. Phys. 419, 109610\u201320 (2020). https:\/\/doi.org\/10.1016\/j.jcp.2020.109610","journal-title":"J. Comput. Phys."},{"key":"2091_CR22","doi-asserted-by":"publisher","first-page":"407","DOI":"10.1016\/j.jcp.2017.10.021","volume":"353","author":"J Shen","year":"2018","unstructured":"Shen, J., Xu, J., Yang, J.: The scalar auxiliary variable (SAV) approach for gradient flows. J. Comput. Phys. 353, 407\u2013416 (2018)","journal-title":"J. Comput. Phys."},{"issue":"3","key":"2091_CR23","doi-asserted-by":"publisher","first-page":"474","DOI":"10.1137\/17M1150153","volume":"61","author":"J Shen","year":"2019","unstructured":"Shen, J., Xu, J., Yang, J.: A new class of efficient and robust energy stable schemes for gradient flows. SIAM Rev. 61(3), 474\u2013506 (2019). https:\/\/doi.org\/10.1137\/17M1150153","journal-title":"SIAM Rev."},{"key":"2091_CR24","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1016\/j.jcp.2019.05.018","volume":"393","author":"Z Yang","year":"2019","unstructured":"Yang, Z., Dong, S.: An unconditionally energy-stable scheme based on an implicit auxiliary energy variable for incompressible two-phase flows with different densities involving only precomputable coefficient matrices. J. Comput. Phys. 393, 229\u2013257 (2019). https:\/\/doi.org\/10.1016\/j.jcp.2019.05.018","journal-title":"J. Comput. Phys."},{"key":"2091_CR25","doi-asserted-by":"publisher","first-page":"109121","DOI":"10.1016\/j.jcp.2019.109121","volume":"404","author":"Z Yang","year":"2020","unstructured":"Yang, Z., Dong, S.: A roadmap for discretely energy-stable schemes for dissipative systems based on a generalized auxiliary variable with guaranteed positivity. J. Comput. Phys. 404, 109121\u201346 (2020). https:\/\/doi.org\/10.1016\/j.jcp.2019.109121","journal-title":"J. Comput. Phys."},{"key":"2091_CR26","doi-asserted-by":"publisher","DOI":"10.1016\/j.cma.2020.113502","volume":"373","author":"X Yang","year":"2021","unstructured":"Yang, X.: A novel fully-decoupled, second-order and energy stable numerical scheme of the conserved Allen\u2013Cahn type flow-coupled binary surfactant model. Comput. Methods Appl. Mech. Eng. 373, 113502 (2021). https:\/\/doi.org\/10.1016\/j.cma.2020.113502","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"2091_CR27","doi-asserted-by":"publisher","unstructured":"Li, S.J. Xiaoli, Liu, Z.: New sav-pressure correction methods for the Navier\u2013Stokes equations: stability and error analysis. Math. Comput. https:\/\/doi.org\/10.1090\/mcom\/3651 (2021)","DOI":"10.1090\/mcom\/3651"},{"key":"2091_CR28","doi-asserted-by":"publisher","first-page":"34","DOI":"10.1016\/j.cma.2021.114150","volume":"387","author":"N Jiang","year":"2021","unstructured":"Jiang, N., Yang, H.: SAV decoupled ensemble algorithms for fast computation of Stokes\u2013Darcy flow ensembles. Comput. Methods Appl. Mech. Eng. 387, 34\u2013114150 (2021). https:\/\/doi.org\/10.1016\/j.cma.2021.114150","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"9\u201312","key":"2091_CR29","doi-asserted-by":"publisher","first-page":"958","DOI":"10.1016\/j.cma.2008.11.004","volume":"198","author":"A Labovsky","year":"2009","unstructured":"Labovsky, A., Layton, W.J., Manica, C.C., Neda, M., Rebholz, L.G.: The stabilized extrapolated trapezoidal finite-element method for the Navier\u2013Stokes equations. Comput. Methods Appl. Mech. Engrg. 198(9\u201312), 958\u2013974 (2009). https:\/\/doi.org\/10.1016\/j.cma.2008.11.004","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"issue":"3","key":"2091_CR30","doi-asserted-by":"publisher","first-page":"1026","DOI":"10.1137\/21M1430376","volume":"60","author":"X Li","year":"2022","unstructured":"Li, X., Wang, W., Shen, J.: Stability and error analysis of IMEX SAV schemes for the magneto-hydrodynamic equations. SIAM J. Numer. Anal. 60(3), 1026\u20131054 (2022). https:\/\/doi.org\/10.1137\/21M1430376","journal-title":"SIAM J. Numer. Anal."},{"key":"2091_CR31","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1016\/j.jcp.2020.109772","volume":"423","author":"C Zhang","year":"2020","unstructured":"Zhang, C., Ouyang, J., Wang, C., Wise, S.M.: Numerical comparison of modified-energy stable SAV-type schemes and classical BDF methods on benchmark problems for the functionalized Cahn\u2013Hilliard equation. J. Comput. Phys. 423, 35\u2013109772 (2020). https:\/\/doi.org\/10.1016\/j.jcp.2020.109772","journal-title":"J. Comput. Phys."},{"key":"2091_CR32","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2022.110954","volume":"456","author":"M Jiang","year":"2022","unstructured":"Jiang, M., Zhang, Z., Zhao, J.: Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation. J. Comput. Phys. 456, 110954 (2022). https:\/\/doi.org\/10.1016\/j.jcp.2022.110954","journal-title":"J. Comput. Phys."},{"key":"2091_CR33","doi-asserted-by":"publisher","unstructured":"Foias, C., Holm, D.D., Titi, E.S.: The Navier\u2013Stokes-alpha model of fluid turbulence. vol. 152\/153, pp. 505\u2013519 (2001). https:\/\/doi.org\/10.1016\/S0167-2789(01)00191-9. Advances in nonlinear mathematics and science. https:\/\/doi-org.libproxy.mst.edu\/10.1016\/S0167-2789(01)00191-9","DOI":"10.1016\/S0167-2789(01)00191-9"},{"key":"2091_CR34","doi-asserted-by":"publisher","unstructured":"Chen, S., Holm, D.D., Margolin, L.G., Zhang, R.: Direct numerical simulations of the Navier-Stokes alpha model. 133, 66\u201383 (1999) Predictability: quantifying uncertainty in models of complex phenomena (Los Alamos, NM, 1998). https:\/\/doi.org\/10.1016\/S0167-2789(99)00099-8","DOI":"10.1016\/S0167-2789(99)00099-8"},{"issue":"3","key":"2091_CR35","doi-asserted-by":"publisher","first-page":"767","DOI":"10.1051\/m2an\/2022020","volume":"56","author":"C Wang","year":"2022","unstructured":"Wang, C., Wang, J., Xia, Z., Xu, L.: Optimal error estimates of a Crank\u2013Nicolson finite element projection method for magnetohydrodynamic equations. ESAIM Math. Model. Numer. Anal. 56(3), 767\u2013789 (2022). https:\/\/doi.org\/10.1051\/m2an\/2022020","journal-title":"ESAIM Math. Model. Numer. Anal."},{"issue":"1","key":"2091_CR36","doi-asserted-by":"publisher","first-page":"430","DOI":"10.1137\/18M1205649","volume":"58","author":"B Li","year":"2020","unstructured":"Li, B., Wang, J., Xu, L.: A convergent linearized Lagrange finite element method for the magneto-hydrodynamic equations in two-dimensional nonsmooth and nonconvex domains. SIAM J. Numer. Anal. 58(1), 430\u2013459 (2020). https:\/\/doi.org\/10.1137\/18M1205649","journal-title":"SIAM J. Numer. Anal."},{"issue":"6","key":"2091_CR37","doi-asserted-by":"publisher","first-page":"2105","DOI":"10.1051\/m2an\/2022073","volume":"56","author":"B Li","year":"2022","unstructured":"Li, B., Ma, S., Ueda, Y.: Analysis of fully discrete finite element methods for 2D Navier\u2013Stokes equations with critical initial data. ESAIM Math. Model. Numer. Anal. 56(6), 2105\u20132139 (2022). https:\/\/doi.org\/10.1051\/m2an\/2022073","journal-title":"ESAIM Math. Model. Numer. Anal."},{"issue":"3","key":"2091_CR38","doi-asserted-by":"publisher","first-page":"20","DOI":"10.1007\/s10915-021-01588-8","volume":"88","author":"B Li","year":"2021","unstructured":"Li, B., Ma, S., Wang, N.: Second-order convergence of the linearly extrapolated Crank\u2013Nicolson method for the Navier\u2013Stokes equations with $$H^1$$ initial data. J. Sci. Comput. 88(3), 20\u201370 (2021). https:\/\/doi.org\/10.1007\/s10915-021-01588-8","journal-title":"J. Sci. Comput."},{"key":"2091_CR39","doi-asserted-by":"publisher","unstructured":"Gunzburger, M.D.: Finite element methods for viscous incompressible flows. Computer Science and Scientific Computing. Academic Press, San Diego (1989). https:\/\/doi.org\/10.1016\/B978-0-12-307350-1.50002-8. https:\/\/www.sciencedirect.com\/science\/article\/pii\/B9780123073501500028","DOI":"10.1016\/B978-0-12-307350-1.50002-8"},{"key":"2091_CR40","unstructured":"Brenner, S., Scott, R.: The Mathematical Theory of Finite Element Methods. Texts in Applied Mathematics. Springer (2007). https:\/\/books.google.com\/books?id=ci4c_R0WKYYC"},{"issue":"7","key":"2091_CR41","doi-asserted-by":"publisher","first-page":"1417","DOI":"10.1063\/1.1762301","volume":"10","author":"RH Kraichnan","year":"1967","unstructured":"Kraichnan, R.H.: Inertial ranges in two-dimensional turbulence. Phys. Fluids 10(7), 1417\u20131423 (1967). https:\/\/doi.org\/10.1063\/1.1762301","journal-title":"Phys. Fluids"},{"key":"2091_CR42","doi-asserted-by":"publisher","unstructured":"Aln\u00e6s, M., Blechta, J., Hake, J., Johansson, A., Kehlet, B., Logg, A., Richardson, C., Ring, J., Rognes, M., Wells, G.: The fenics project version 1.5 3 (2015). https:\/\/doi.org\/10.11588\/ans.2015.100.20553","DOI":"10.11588\/ans.2015.100.20553"},{"key":"2091_CR43","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2019.112636","volume":"369","author":"G Zhang","year":"2019","unstructured":"Zhang, G., He, X., Yang, X.: Fully decoupled, linear and unconditionally energy stable time discretization scheme for solving the magneto-hydrodynamic equations. J. Comput. Appl. Math. 369, 112636 (2019). https:\/\/doi.org\/10.1016\/j.cam.2019.112636","journal-title":"J. Comput. Appl. Math."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-022-02091-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-022-02091-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-022-02091-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,31]],"date-time":"2023-01-31T06:37:06Z","timestamp":1675147026000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-022-02091-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,1,9]]},"references-count":43,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,2]]}},"alternative-id":["2091"],"URL":"https:\/\/doi.org\/10.1007\/s10915-022-02091-4","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,1,9]]},"assertion":[{"value":"30 June 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 November 2022","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 December 2022","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 January 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have not disclosed any competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}],"article-number":"41"}}