{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T15:11:11Z","timestamp":1780413071313,"version":"3.54.1"},"reference-count":48,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2023,3,16]],"date-time":"2023-03-16T00:00:00Z","timestamp":1678924800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2023,3,16]],"date-time":"2023-03-16T00:00:00Z","timestamp":1678924800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100001824","name":"Grantov\u00e1 Agentura Cesk\u00e9 Republiky","doi-asserted-by":"publisher","award":["20-01074S"],"award-info":[{"award-number":["20-01074S"]}],"id":[{"id":"10.13039\/501100001824","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":[[2023,5]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We propose an efficient mesh adaptive method for the numerical solution of time-dependent partial differential equations considered in the fixed space-time cylinder<jats:inline-formula><jats:alternatives><jats:tex-math>$$\\varOmega \\times (0,T)$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:mi>\u03a9<\/mml:mi><mml:mo>\u00d7<\/mml:mo><mml:mo>(<\/mml:mo><mml:mn>0<\/mml:mn><mml:mo>,<\/mml:mo><mml:mi>T<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>. We employ the space-time discontinuous Galerkin method which enables us to use different meshes at different time levels in a natural way. The mesh adaptive algorithm is based on control of the interpolation error in the<jats:inline-formula><jats:alternatives><jats:tex-math>$$L^\\infty (0,T; L^q(\\varOmega ))$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mrow><mml:msup><mml:mi>L<\/mml:mi><mml:mi>\u221e<\/mml:mi><\/mml:msup><mml:mrow><mml:mo>(<\/mml:mo><mml:mn>0<\/mml:mn><mml:mo>,<\/mml:mo><mml:mi>T<\/mml:mi><mml:mo>\u037e<\/mml:mo><mml:msup><mml:mi>L<\/mml:mi><mml:mi>q<\/mml:mi><\/mml:msup><mml:mrow><mml:mo>(<\/mml:mo><mml:mi>\u03a9<\/mml:mi><mml:mo>)<\/mml:mo><\/mml:mrow><mml:mo>)<\/mml:mo><\/mml:mrow><\/mml:mrow><\/mml:math><\/jats:alternatives><\/jats:inline-formula>-norm. The goal is to construct a sequence of conforming triangular meshes in such a way that the interpolation error bound is under a given tolerance and the number of degrees of freedom is minimal. The resulting grids consist of anisotropic mesh elements with varying polynomial approximation degrees with respect to space. We present a theoretical framework of this approach as well as several numerical examples demonstrating the accuracy, efficiency, and applicability of the method.<\/jats:p>","DOI":"10.1007\/s10915-023-02153-1","type":"journal-article","created":{"date-parts":[[2023,3,16]],"date-time":"2023-03-16T12:03:02Z","timestamp":1678968182000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control"],"prefix":"10.1007","volume":"95","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6356-934X","authenticated-orcid":false,"given":"V\u00edt","family":"Dolej\u0161\u00ed","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8385-6979","authenticated-orcid":false,"given":"Georg","family":"May","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,3,16]]},"reference":[{"issue":"3","key":"2153_CR1","doi-asserted-by":"publisher","first-page":"561","DOI":"10.1016\/j.jcp.2009.09.020","volume":"229","author":"F Alauzet","year":"2010","unstructured":"Alauzet, F., Loseille, A.: High-order sonic boom modeling based on adaptive methods. J. Comput. Phys. 229(3), 561\u2013593 (2010)","journal-title":"J. Comput. Phys."},{"key":"2153_CR2","doi-asserted-by":"publisher","first-page":"28","DOI":"10.1016\/j.jcp.2018.06.043","volume":"373","author":"F Alauzet","year":"2018","unstructured":"Alauzet, F., Loseille, A., Olivier, G.: Time-accurate multi-scale anisotropic mesh adaptation for unsteady flows in CFD. J. Comput. Phys. 373, 28\u201363 (2018)","journal-title":"J. Comput. Phys."},{"key":"2153_CR3","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198502760.001.0001","volume-title":"The Finite Element Method and its Reliability","author":"I Babu\u0161ka","year":"2001","unstructured":"Babu\u0161ka, I., Strouboulis, T.: The Finite Element Method and its Reliability. Clarendon Press, Oxford (2001)"},{"key":"2153_CR4","doi-asserted-by":"publisher","first-page":"578","DOI":"10.1137\/1036141","volume":"36","author":"I Babu\u0161ka","year":"1994","unstructured":"Babu\u0161ka, I., Suri, M.: The $$p$$- and $$hp$$-FEM a survey. SIAM Rev. 36, 578\u2013632 (1994)","journal-title":"SIAM Rev."},{"key":"2153_CR5","doi-asserted-by":"crossref","unstructured":"Bangerth, W., Rannacher, R.: Adaptive Finite Element Methods for Differential Equations. Lectures in Mathematics. ETH Z\u00fcrich. Birkh\u00e4user Verlag (2003)","DOI":"10.1007\/978-3-0348-7605-6"},{"issue":"19","key":"2153_CR6","doi-asserted-by":"publisher","first-page":"6323","DOI":"10.1016\/j.jcp.2012.05.003","volume":"231","author":"A Belme","year":"2012","unstructured":"Belme, A., Dervieux, A., Alauzet, F.: Time accurate anisotropic goal-oriented mesh adaptation for unsteady flows. J. Comput. Phys. 231(19), 6323\u20136348 (2012)","journal-title":"J. Comput. Phys."},{"issue":"4","key":"2153_CR7","doi-asserted-by":"publisher","first-page":"711","DOI":"10.1142\/S0218202521500172","volume":"31","author":"A Cangiani","year":"2021","unstructured":"Cangiani, A., Georgoulis, E.H., Sutton, O.J.: Adaptive non-hierarchical galerkin methods for parabolic problems with application to moving mesh and virtual element methods. Math. Models Methods Appl. Sci. 31(4), 711\u2013751 (2021)","journal-title":"Math. Models Methods Appl. Sci."},{"issue":"2","key":"2153_CR8","doi-asserted-by":"publisher","first-page":"492","DOI":"10.2514\/1.J051845","volume":"51","author":"M Ceze","year":"2012","unstructured":"Ceze, M., Fidkowski, K.J.: Anisotropic $$hp$$-adaptation framework for functional prediction. AIAA J. 51(2), 492\u2013509 (2012)","journal-title":"AIAA J."},{"key":"2153_CR9","doi-asserted-by":"crossref","unstructured":"Cirrottola, L., Ricchiuto, M., Froehly, A., Re, B., Guardone, A., Quaranta, G.: Adaptive deformation of 3d unstructured meshes with curved body fitted boundaries with application to unsteady compressible flows. J. Comput. Phys. 433 (2021)","DOI":"10.1016\/j.jcp.2021.110177"},{"key":"2153_CR10","doi-asserted-by":"crossref","unstructured":"Colera, M., Carpio, J., Bermejo, R.: A nearly-conservative, high-order, forward lagrange-Galerkin method for the resolution of compressible flows on unstructured triangular meshes. J. Comput. Phys. 467 (2022)","DOI":"10.1016\/j.jcp.2022.111471"},{"key":"2153_CR11","volume-title":"Computing with $$hp$$-adaptive finite elements","author":"L Demkowicz","year":"2007","unstructured":"Demkowicz, L.: Computing with $$hp$$-adaptive finite elements, vol. 1. Applied Mathematics and Nonlinear Science Series. Chapman & Hall\/CRC, Boca Raton, FL (2007)"},{"issue":"1\u20134","key":"2153_CR12","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1023\/A:1015192312705","volume":"17","author":"L Demkowicz","year":"2002","unstructured":"Demkowicz, L., Rachowicz, W., Devloo, P.: A fully automatic $$hp$$-adaptivity. J. Sci. Comput. 17(1\u20134), 117\u2013142 (2002)","journal-title":"J. Sci. Comput."},{"key":"2153_CR13","unstructured":"Dolej\u0161\u00ed, V.: ANGENER \u2013 Anisotropic mesh generator, in-house code. Charles University, Prague, Faculty of Mathematics and Physics (2000). https:\/\/msekce.karlin.mff.cuni.cz\/~dolejsi\/angen\/"},{"key":"2153_CR14","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1016\/j.apnum.2014.03.003","volume":"82","author":"V Dolej\u0161\u00ed","year":"2014","unstructured":"Dolej\u0161\u00ed, V.: Anisotropic $$hp$$-adaptive method based on interpolation error estimates in the $${L}^q$$-norm. Appl. Numer. Math. 82, 80\u2013114 (2014)","journal-title":"Appl. Numer. Math."},{"key":"2153_CR15","doi-asserted-by":"crossref","first-page":"178","DOI":"10.1016\/j.camwa.2021.04.004","volume":"93","author":"V Dolej\u0161\u00ed","year":"2021","unstructured":"Dolej\u0161\u00ed, V., Barto\u0161, O., Roskovec, F.: Goal-oriented mesh adaptation method for nonlinear problems including algebraic errors. Comput. Math. Appl. 93, 178\u2013198 (2021)","journal-title":"Comput. Math. Appl."},{"key":"2153_CR16","doi-asserted-by":"crossref","unstructured":"Dolej\u0161\u00ed, V., Feistauer, M.: Discontinuous Galerkin Method \u2013 Analysis and Applications to Compressible Flow. Springer Series in Computational Mathematics 48. Springer, Cham (2015)","DOI":"10.1007\/978-3-319-19267-3"},{"key":"2153_CR17","doi-asserted-by":"publisher","first-page":"276","DOI":"10.1016\/j.apm.2019.02.037","volume":"72","author":"V Dolej\u0161\u00ed","year":"2019","unstructured":"Dolej\u0161\u00ed, V., Kur\u00e1\u017e, M., Solin, P.: Adaptive higher-order space-time discontinuous Galerkin method for the computer simulation of variably-saturated porous media flows. Appl. Math. Model. 72, 276\u2013305 (2019)","journal-title":"Appl. Math. Model."},{"key":"2153_CR18","doi-asserted-by":"crossref","unstructured":"Dolej\u0161\u00ed, V., May, G.: Anisotropic $$hp$$-Mesh Adaptation Methods. Birkh\u00e4user (2022)","DOI":"10.1007\/978-3-031-04279-9"},{"key":"2153_CR19","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.apnum.2017.09.015","volume":"124","author":"V Dolej\u0161\u00ed","year":"2018","unstructured":"Dolej\u0161\u00ed, V., May, G., Rangarajan, A.: A continuous $$hp$$-mesh model for adaptive discontinuous Galerkin schemes. Appl. Numer. Math. 124, 1\u201321 (2018)","journal-title":"Appl. Numer. Math."},{"issue":"3","key":"2153_CR20","doi-asserted-by":"publisher","first-page":"A1899","DOI":"10.1137\/18M1172491","volume":"41","author":"V Dolej\u0161\u00ed","year":"2019","unstructured":"Dolej\u0161\u00ed, V., May, G., Rangarajan, A., Roskovec, F.: A goal-oriented high-order anisotropic mesh adaptation using discontinuous Galerkin method for linear convection-diffusion-reaction problems. SIAM J. Sci. Comput. 41(3), A1899\u2013A1922 (2019)","journal-title":"SIAM J. Sci. Comput."},{"key":"2153_CR21","doi-asserted-by":"publisher","first-page":"304","DOI":"10.1016\/j.compfluid.2015.05.027","volume":"117","author":"V Dolej\u0161\u00ed","year":"2015","unstructured":"Dolej\u0161\u00ed, V., Roskovec, F., Vlas\u00e1k, M.: Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows. Comput. Fluids 117, 304\u2013324 (2015)","journal-title":"Comput. Fluids"},{"key":"2153_CR22","doi-asserted-by":"publisher","first-page":"1129","DOI":"10.1002\/nme.1620210612","volume":"21","author":"DA Dunavant","year":"1985","unstructured":"Dunavant, D.A.: High degree efficient symmetrical gaussian quadrature rules for the triangle. Int. J. Numer. Methods Engrg. 21, 1129\u20131148 (1985)","journal-title":"Int. J. Numer. Methods Engrg."},{"issue":"6","key":"2153_CR23","doi-asserted-by":"publisher","first-page":"2811","DOI":"10.1137\/16M1097626","volume":"55","author":"A Ern","year":"2017","unstructured":"Ern, A., Smears, I., Vohral\u00edk, M.: Guaranteed, locally space-time efficient, and polynomial-degree robust a posteriori error estimates for high-order discretizations of parabolic problems. SIAM J. Numer. Anal. 55(6), 2811\u20132834 (2017)","journal-title":"SIAM J. Numer. Anal."},{"key":"2153_CR24","doi-asserted-by":"publisher","first-page":"198","DOI":"10.1137\/090759008","volume":"48","author":"A Ern","year":"2010","unstructured":"Ern, A., Vohral\u00edk, M.: Aposteriori error estimation based on potential and flux reconstruction for the heat equation. SIAM J. Numer. Anal. 48, 198\u2013223 (2010)","journal-title":"SIAM J. Numer. Anal."},{"key":"2153_CR25","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198505884.001.0001","volume-title":"Mathematical and Computational Methods for Compressible Flow","author":"M Feistauer","year":"2003","unstructured":"Feistauer, M., Felcman, J., Stra\u0161kraba, I.: Mathematical and Computational Methods for Compressible Flow. Clarendon Press, Oxford (2003)"},{"key":"2153_CR26","doi-asserted-by":"crossref","unstructured":"Ferro, N., Perotto, S., Cangiani, A.: An anisotropic recovery-based error estimator for adaptive discontinuous Galerkin methods. J. Sci. Comput. 90(1) (2022)","DOI":"10.1007\/s10915-021-01724-4"},{"issue":"11","key":"2153_CR27","doi-asserted-by":"publisher","first-page":"1376","DOI":"10.1002\/nme.2954","volume":"84","author":"D Gu\u00e9gan","year":"2010","unstructured":"Gu\u00e9gan, D., Allain, O., Dervieux, A., Alauzet, F.: An $$ {L}^\\infty $$-$$ {L}^p$$ mesh-adaptive method for computing unsteady bi-fluid flows. Internat. J. Numer. Methods Engrg. 84(11), 1376\u20131406 (2010)","journal-title":"Internat. J. Numer. Methods Engrg."},{"key":"2153_CR28","unstructured":"Jech, T.J.: The Axiom of Choice. Dover Books on Mathematics (2008)"},{"issue":"1","key":"2153_CR29","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1137\/090754078","volume":"49","author":"A Loseille","year":"2011","unstructured":"Loseille, A., Alauzet, F.: Continuous mesh framework part I: well-posed continuous interpolation error. SIAM J. Numer. Anal. 49(1), 38\u201360 (2011)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"2153_CR30","doi-asserted-by":"publisher","first-page":"61","DOI":"10.1137\/10078654X","volume":"49","author":"A Loseille","year":"2011","unstructured":"Loseille, A., Alauzet, F.: Continuous mesh framework part II: validations and applications. SIAM J. Numer. Anal. 49(1), 61\u201386 (2011)","journal-title":"SIAM J. Numer. Anal."},{"issue":"8","key":"2153_CR31","doi-asserted-by":"publisher","first-page":"2866","DOI":"10.1016\/j.jcp.2009.12.021","volume":"229","author":"A Loseille","year":"2010","unstructured":"Loseille, A., Dervieux, A., Alauzet, F.: Fully anisotropic goal-oriented mesh adaptation for 3D steady Euler equations. J. Comput. Phys. 229(8), 2866\u20132897 (2010)","journal-title":"J. Comput. Phys."},{"key":"2153_CR32","doi-asserted-by":"crossref","unstructured":"Melenk, J.M.: $$hp$$-finite element methods for singular perturbations. Lecture Notes in Mathematics, vol. 1796. Springer-Verlag, Berlin (2002)","DOI":"10.1007\/b84212"},{"issue":"3","key":"2153_CR33","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1029\/WR012i003p00513","volume":"12","author":"Y Mualem","year":"1976","unstructured":"Mualem, Y.: A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour. Res. 12(3), 513\u2013522 (1976)","journal-title":"Water Resour. Res."},{"key":"2153_CR34","doi-asserted-by":"crossref","unstructured":"Park, M., Krakos, J., Michal, T., Loseille, A., Alonso, J.: Unstructured grid adaptation: Status, potential impacts, and recommended investments toward CFD vision 2030 (2016)","DOI":"10.2514\/6.2016-3323"},{"issue":"3","key":"2153_CR35","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1016\/S0045-7825(98)00121-2","volume":"167","author":"M Picasso","year":"1998","unstructured":"Picasso, M.: Adaptive finite elements for a linear parabolic problem. Comput. Methods Appl. Mech. Eng. 167(3), 223\u2013237 (1998)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"10","key":"2153_CR36","doi-asserted-by":"publisher","first-page":"4060","DOI":"10.2514\/1.J056965","volume":"56","author":"A Rangarajan","year":"2018","unstructured":"Rangarajan, A., Balan, A., May, G.: Mesh optimization for discontinuous Galerkin methods using a continuous mesh model. AIAA J. 56(10), 4060\u20134073 (2018). https:\/\/doi.org\/10.2514\/1.J056965","journal-title":"AIAA J."},{"key":"2153_CR37","doi-asserted-by":"publisher","first-page":"589","DOI":"10.1016\/j.jcp.2018.09.005","volume":"375","author":"N Ringue","year":"2018","unstructured":"Ringue, N., Nadarajah, S.: An optimization-based framework for anisotropic hp-adaptation of high-order discretizations. J. Comput. Phys. 375, 589\u2013618 (2018)","journal-title":"J. Comput. Phys."},{"key":"2153_CR38","volume-title":"$$p$$- and $$hp$$-Finite Element Methods","author":"C Schwab","year":"1998","unstructured":"Schwab, C.: $$p$$- and $$hp$$-Finite Element Methods. Clarendon Press, Oxford (1998)"},{"key":"2153_CR39","doi-asserted-by":"crossref","unstructured":"Shu, C.: Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. In: A.\u00a0Quarteroni, et al (eds.) Advanced numerical approximation of nonlinear hyperbolic equations, Lect. Notes Math. 1697, pp. 325\u2013432. Springer, Berlin (1998)","DOI":"10.1007\/BFb0096355"},{"key":"2153_CR40","doi-asserted-by":"publisher","first-page":"449","DOI":"10.1016\/j.cma.2003.09.015","volume":"193","author":"P \u0160ol\u00edn","year":"2004","unstructured":"\u0160ol\u00edn, P., Demkowicz, L.: Goal-oriented $$hp$$-adaptivity for elliptic problems. Comput. Methods Appl. Mech. Engrg. 193, 449\u2013468 (2004)","journal-title":"Comput. Methods Appl. Mech. Engrg."},{"key":"2153_CR41","doi-asserted-by":"publisher","first-page":"1062","DOI":"10.1016\/j.advwatres.2011.04.020","volume":"34","author":"P Solin","year":"2011","unstructured":"Solin, P., Kuraz, M.: Solving the nonstationary Richards equation with adaptive $$hp$$-FEM. Adv. Water Resour. 34, 1062\u20131081 (2011)","journal-title":"Adv. Water Resour."},{"key":"2153_CR42","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1016\/j.physa.2018.03.097","volume":"506","author":"M Sv\u00e4rd","year":"2018","unstructured":"Sv\u00e4rd, M.: A new Eulerian model for viscous and heat conducting compressible flows. Physica A 506, 350\u2013375 (2018)","journal-title":"Physica A"},{"issue":"5","key":"2153_CR43","doi-asserted-by":"publisher","first-page":"892","DOI":"10.2136\/sssaj1980.03615995004400050002x","volume":"44","author":"MT van Genuchten","year":"1980","unstructured":"van Genuchten, M.T.: Closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44(5), 892\u2013898 (1980)","journal-title":"Soil Sci. Soc. Am. J."},{"issue":"1","key":"2153_CR44","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1006\/jcph.2001.6967","volume":"176","author":"D Venditti","year":"2002","unstructured":"Venditti, D., Darmofal, D.: Grid adaptation for functional outputs: application to two-dimensional inviscid flows. J. Comput. Phys. 176(1), 40\u201369 (2002)","journal-title":"J. Comput. Phys."},{"key":"2153_CR45","doi-asserted-by":"publisher","DOI":"10.1093\/acprof:oso\/9780199679423.001.0001","volume-title":"A Posteriori Error Estimation Techniques for Finite Element Methods","author":"R Verf\u00fcrth","year":"2013","unstructured":"Verf\u00fcrth, R.: A Posteriori Error Estimation Techniques for Finite Element Methods. Oxford University Press, Numerical Mathematics and Scientific Computation (2013)"},{"key":"2153_CR46","doi-asserted-by":"publisher","first-page":"811","DOI":"10.1002\/fld.3767","volume":"72","author":"ZJ Wang","year":"2013","unstructured":"Wang, Z.J., Fidkowski, K., Abgrall, R., Bassi, F., Caraeni, D., Cary, A., Deconinck, H., Hartmann, R., Hillewaert, K., Huynh, H.T., Kroll, N., May, G., Persson, P.O., van Leer, B., Visbal, M.: High-order CFD methods: current status and perspective. Int. J. Numer. Meth. Fluids 72, 811\u2013845 (2013)","journal-title":"Int. J. Numer. Meth. Fluids"},{"key":"2153_CR47","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-05146-3","volume-title":"Principles of Computational Fluid Dynamics","author":"P Wesseling","year":"2001","unstructured":"Wesseling, P.: Principles of Computational Fluid Dynamics. Springer, Berlin (2001)"},{"key":"2153_CR48","doi-asserted-by":"crossref","unstructured":"Yano, M., Darmofal, D.L.: An optimization-based framework for anisotropic simplex mesh adaptation. J. Comput. Phys. 231(22), 7626\u20137649 (2012)","DOI":"10.1016\/j.jcp.2012.06.040"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-023-02153-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-023-02153-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-023-02153-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,12,9]],"date-time":"2023-12-09T02:05:54Z","timestamp":1702087554000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-023-02153-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,3,16]]},"references-count":48,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2023,5]]}},"alternative-id":["2153"],"URL":"https:\/\/doi.org\/10.1007\/s10915-023-02153-1","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,3,16]]},"assertion":[{"value":"8 September 2022","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 January 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 February 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"16 March 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":"36"}}