{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T09:11:31Z","timestamp":1784279491363,"version":"3.55.0"},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T00:00:00Z","timestamp":1777420800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T00:00:00Z","timestamp":1777420800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"National Key Research and Development Program of China","award":["2020YFA0714102"],"award-info":[{"award-number":["2020YFA0714102"]}]},{"DOI":"10.13039\/501100010211","name":"Education Department of Jilin Province","doi-asserted-by":"publisher","award":["JJKH20250297BS"],"award-info":[{"award-number":["JJKH20250297BS"]}],"id":[{"id":"10.13039\/501100010211","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2026,6]]},"DOI":"10.1007\/s10444-026-10305-8","type":"journal-article","created":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T15:04:10Z","timestamp":1777475050000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Which transmission condition is the best in optimized Schwarz waveform relaxation for viscoelastic equation: Robin or characteristic?"],"prefix":"10.1007","volume":"52","author":[{"given":"Fu","family":"Li","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7994-5274","authenticated-orcid":false,"given":"Yingxiang","family":"Xu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2026,4,29]]},"reference":[{"issue":"6","key":"10305_CR1","doi-asserted-by":"publisher","first-page":"1119","DOI":"10.1061\/JMCEA3.0001828","volume":"99","author":"RA Adey","year":"1973","unstructured":"Adey, R.A., Brebbia, C.A.: Efficient method for solution of viscoelastic problems. J .Eng. Mech. Div. 99(6), 1119\u20131127 (1973)","journal-title":"J .Eng. Mech. Div."},{"issue":"2","key":"10305_CR2","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1016\/0022-0396(80)90040-6","volume":"35","author":"G Andrews","year":"1980","unstructured":"Andrews, G.: On the existence of solutions to the equation $$u_{tt}= u_{xxt}+ \\sigma (u_{x})_x$$. J. Differential Equations 35(2), 200\u2013231 (1980)","journal-title":"J. Differential Equations"},{"issue":"2","key":"10305_CR3","doi-asserted-by":"publisher","first-page":"902","DOI":"10.1016\/j.jde.2019.01.028","volume":"267","author":"J Barrera","year":"2019","unstructured":"Barrera, J., Volkmer, H.: Asymptotic expansion of the L$$^2$$-norm of a solution of the strongly damped wave equation. J. Differential Equations 267(2), 902\u2013937 (2019)","journal-title":"J. Differential Equations"},{"issue":"3","key":"10305_CR4","doi-asserted-by":"publisher","first-page":"255","DOI":"10.1007\/s10596-005-3772-8","volume":"8","author":"E B\u00e9cache","year":"2005","unstructured":"B\u00e9cache, E., Ezziani, A., Joly, P.: A mixed finite element approach for viscoelastic wave propagation. Comput. Geosci. 8(3), 255\u2013299 (2005)","journal-title":"Comput. Geosci."},{"key":"10305_CR5","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511806834","volume-title":"Fourier and Laplace Transforms","author":"RJ Beerends","year":"2003","unstructured":"Beerends, R.J.: Fourier and Laplace Transforms. Cambridge University Press, Cambridge (2003)"},{"issue":"3","key":"10305_CR6","doi-asserted-by":"publisher","first-page":"513","DOI":"10.1007\/s00211-015-0784-8","volume":"134","author":"D Bennequin","year":"2016","unstructured":"Bennequin, D., Gander, M.J., Gouarin, L., Halpern, L.: Optimized Schwarz waveform relaxation for advection reaction diffusion equations in two dimensions. Numer. Math. 134(3), 513\u2013567 (2016)","journal-title":"Numer. Math."},{"issue":"265","key":"10305_CR7","doi-asserted-by":"publisher","first-page":"185","DOI":"10.1090\/S0025-5718-08-02145-5","volume":"78","author":"D Bennequin","year":"2009","unstructured":"Bennequin, D., Gander, M.J., Halpern, L.: A homographic best approximation problem with application to optimized Schwarz waveform relaxation. Math. Comp. 78(265), 185\u2013223 (2009)","journal-title":"Math. Comp."},{"key":"10305_CR8","doi-asserted-by":"crossref","unstructured":"Blayo, E., Halpern, L., Japhet, C.: Optimized Schwarz waveform relaxation algorithms with nonconforming time discretization for coupling convection-diffusion problems with discontinuous coefficients. In: Domain decomposition methods in science and engineering XVI, pp. 267\u2013274. Springer, Berlin, Heidelberg (2007)","DOI":"10.1007\/978-3-540-34469-8_31"},{"key":"10305_CR9","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1016\/j.apnum.2018.01.002","volume":"127","author":"G Califano","year":"2018","unstructured":"Califano, G., Conte, D.: Optimal Schwarz waveform relaxation for fractional diffusion-wave equations. Appl. Numer. Math. 127, 125\u2013141 (2018)","journal-title":"Appl. Numer. Math."},{"issue":"1","key":"10305_CR10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2022.126765","volume":"519","author":"W Chen","year":"2023","unstructured":"Chen, W., Ikehata, R.: Decay properties and asymptotic behaviors for a wave equation with general strong damping. J. Math. Anal. Appl. 519(1), 126765 (2023)","journal-title":"J. Math. Anal. Appl."},{"issue":"6","key":"10305_CR11","doi-asserted-by":"publisher","first-page":"2457","DOI":"10.1051\/m2an\/2018041","volume":"52","author":"V Dolean","year":"2018","unstructured":"Dolean, V., Gander, M.J., Veneros, E.: Asymptotic analysis of optimized Schwarz methods for Maxwell\u00e2\u20ac\u2122s equations with discontinuous coefficients. ESAIM Math. Model. Numer. Anal. 52(6), 2457\u20132477 (2018)","journal-title":"ESAIM Math. Model. Numer. Anal."},{"issue":"4","key":"10305_CR12","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1016\/S0168-9274(98)00019-1","volume":"27","author":"B Engquist","year":"1998","unstructured":"Engquist, B., Zhao, H.K.: Absorbing boundary conditions for domain decomposition. Appl. Numer. Math. 27(4), 341\u2013365 (1998)","journal-title":"Appl. Numer. Math."},{"key":"10305_CR13","unstructured":"Evans, L.C.: Partial Differential Equations. Am. Math. Soc. vol.\u00a019 (2022)"},{"issue":"2","key":"10305_CR14","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1137\/S0036142903425409","volume":"44","author":"MJ Gander","year":"2006","unstructured":"Gander, M.J.: Optimized Schwarz methods. SIAM J. Numer. Anal. 44(2), 699\u2013731 (2006)","journal-title":"SIAM J. Numer. Anal."},{"issue":"8","key":"10305_CR15","first-page":"1732","volume":"56","author":"MJ Gander","year":"2008","unstructured":"Gander, M.J., Al-Khaleel, M., Ruchli, A.E.: Optimized waveform relaxation methods for longitudinal partitioning of transmission lines. IEEE Trans. Circuits Syst. I Regul. Pap. 56(8), 1732\u20131743 (2008)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"issue":"249","key":"10305_CR16","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1090\/S0025-5718-04-01635-7","volume":"74","author":"MJ Gander","year":"2005","unstructured":"Gander, M.J., Halpern, L.: Absorbing boundary conditions for the wave equation and parallel computing. Math. Comp. 74(249), 153\u2013176 (2005)","journal-title":"Math. Comp."},{"issue":"2","key":"10305_CR17","doi-asserted-by":"publisher","first-page":"666","DOI":"10.1137\/050642137","volume":"45","author":"MJ Gander","year":"2007","unstructured":"Gander, M.J., Halpern, L.: Optimized Schwarz waveform relaxation methods for advection reaction diffusion problems. SIAM J. Numer. Anal. 45(2), 666\u2013697 (2007)","journal-title":"SIAM J. Numer. Anal."},{"key":"10305_CR18","doi-asserted-by":"crossref","unstructured":"Gander, M.J., Halpern, L., Nataf, F.: Optimal convergence for overlapping and non-overlapping Schwarz waveform relaxation. In: 11th international Conference of Domain Decomposition Methods. Greenwich (Great Britain) (1999)","DOI":"10.1090\/conm\/218\/03038"},{"issue":"5","key":"10305_CR19","doi-asserted-by":"publisher","first-page":"1643","DOI":"10.1137\/S003614290139559X","volume":"41","author":"MJ Gander","year":"2003","unstructured":"Gander, M.J., Halpern, L., Nataf, F.: Optimal Schwarz waveform relaxation for the one dimensional wave equation. SIAM J. Numer. Anal. 41(5), 1643\u20131681 (2003)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"10305_CR20","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1137\/S1064827501387012","volume":"24","author":"MJ Gander","year":"2002","unstructured":"Gander, M.J., Magoul\u00e8s, F., Nataf, F.: Optimized Schwarz methods without overlap for the Helmholtz equation. SIAM J. Sci. Comput. 24(1), 38\u201360 (2002)","journal-title":"SIAM J. Sci. Comput."},{"issue":"4","key":"10305_CR21","doi-asserted-by":"publisher","first-page":"755","DOI":"10.1109\/TCSI.2004.826193","volume":"51","author":"MJ Gander","year":"2004","unstructured":"Gander, M.J., Ruehli, A.E.: Optimized waveform relaxation methods for RC type circuits. IEEE Trans. Circuits Syst. I Regul. Pap. 51(4), 755\u2013768 (2004)","journal-title":"IEEE Trans. Circuits Syst. I Regul. Pap."},{"issue":"6","key":"10305_CR22","doi-asserted-by":"publisher","first-page":"2014","DOI":"10.1137\/S1064827596305337","volume":"19","author":"MJ Gander","year":"1998","unstructured":"Gander, M.J., Stuart, A.M.: Space-time continuous analysis of waveform relaxation for the heat equation. SIAM J. Sci. Comput. 19(6), 2014\u20132031 (1998)","journal-title":"SIAM J. Sci. Comput."},{"key":"10305_CR23","unstructured":"Gander, M.J., Thibaut, L., Ausra, P.: Convergence of parareal for a vibrating string with viscoelastic damping. In: Domain Decomposition Methods in Science and Engineering XXVI 8(1), 1\u20138 (2021)"},{"issue":"4","key":"10305_CR24","doi-asserted-by":"publisher","first-page":"1981","DOI":"10.1137\/130946125","volume":"52","author":"MJ Gander","year":"2014","unstructured":"Gander, M.J., Xu, Y.: Optimized Schwarz methods for circular domain decompositions with overlap. SIAM J. Numer. Anal. 52(4), 1981\u20132004 (2014)","journal-title":"SIAM J. Numer. Anal."},{"issue":"304","key":"10305_CR25","doi-asserted-by":"publisher","first-page":"637","DOI":"10.1090\/mcom\/3127","volume":"86","author":"MJ Gander","year":"2017","unstructured":"Gander, M.J., Xu, Y.: Optimized Schwarz methods with nonoverlapping circular domain decomposition. Math. Comp. 86(304), 637\u2013660 (2017)","journal-title":"Math. Comp."},{"key":"10305_CR26","unstructured":"Gander, M.J., Zhao, H.: Overlapping Schwarz waveform relaxation for parabolic problems in higher dimension. In: Proceedings of Algoritmy, vol.\u00a014, pp. 42\u201351 (1997)"},{"key":"10305_CR27","first-page":"50","volume":"217","author":"E Giladi","year":"1997","unstructured":"Giladi, E., Keller, H.: Space-time domain decomposition for parabolic problems. Appl. Math. 217, 50 (1997)","journal-title":"Appl. Math."},{"key":"10305_CR28","doi-asserted-by":"crossref","unstructured":"Halpern, L., Japhet, C.: Discontinuous Galerkin and nonconforming in time optimized Schwarz waveform relaxation for heterogeneous problems. In: Domain Decomposition Methods in Science and Engineering XVII, pp. 211\u2013219. Springer, Berlin, Heidelberg (2008)","DOI":"10.1007\/978-3-540-75199-1_23"},{"issue":"5","key":"10305_CR29","doi-asserted-by":"publisher","first-page":"2588","DOI":"10.1137\/120865033","volume":"50","author":"L Halpern","year":"2012","unstructured":"Halpern, L., Japhet, C., Szeftel, J.: Optimized Schwarz waveform relaxation and discontinuous Galerkin time stepping for heterogeneous problems. SIAM J. Numer. Anal. 50(5), 2588\u20132611 (2012)","journal-title":"SIAM J. Numer. Anal."},{"key":"10305_CR30","doi-asserted-by":"publisher","first-page":"537","DOI":"10.1007\/s10884-019-09731-8","volume":"31","author":"R Ikehata","year":"2019","unstructured":"Ikehata, R., Takeda, H.: Asymptotic profiles of solutions for structural damped wave equations. J. Dynam. Differential Equations 31, 537\u2013571 (2019)","journal-title":"J. Dynam. Differential Equations"},{"key":"10305_CR31","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1016\/j.cam.2012.08.018","volume":"238","author":"Y Jiang","year":"2013","unstructured":"Jiang, Y., Ding, X.: Waveform relaxation methods for fractional differential equations with the Caputo derivatives. J. Comput. Appl. Math. 238, 51\u201367 (2013)","journal-title":"J. Comput. Appl. Math."},{"key":"10305_CR32","doi-asserted-by":"crossref","unstructured":"Kalyani, V.K., Pallavika, Chakraborty, S.K.: Finite-difference time-domain method for modelling of seismic wave propagation in viscoelastic media. Appl. Math. Comput. 237, 133\u2013145 (2014)","DOI":"10.1016\/j.amc.2014.03.029"},{"issue":"3","key":"10305_CR33","doi-asserted-by":"publisher","first-page":"131","DOI":"10.1109\/TCAD.1982.1270004","volume":"1","author":"E Lelarasmee","year":"1982","unstructured":"Lelarasmee, E., Ruehli, A.E., Sangiovanni-Vincentelli, A.L.: The waveform relaxation method for time-domain analysis of large scale integrated circuits. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 1(3), 131\u2013145 (1982)","journal-title":"IEEE Trans. Comput. Aided Des. Integr. Circuits Syst."},{"issue":"1","key":"10305_CR34","doi-asserted-by":"publisher","first-page":"47","DOI":"10.4208\/eajam.2022-304.070323","volume":"14","author":"F Li","year":"2024","unstructured":"Li, F., Xu, Y.: A diagonalization-based parallel-in-time algorithm for Crank-Nicolson\u00e2\u20ac\u2122s discretization of the viscoelastic equation. East Asian J. Appl. Math. 14(1), 47\u201378 (2024)","journal-title":"East Asian J. Appl. Math."},{"issue":"2","key":"10305_CR35","first-page":"55","volume":"9","author":"H Li","year":"2005","unstructured":"Li, H.: Generalized difference methods for one-dimensional viscoelastic problems. J. Korean Soc. Ind. Appl. Math. 9(2), 55\u201364 (2005)","journal-title":"J. Korean Soc. Ind. Appl. Math."},{"key":"10305_CR36","doi-asserted-by":"publisher","first-page":"644","DOI":"10.1016\/0022-247X(88)90178-3","volume":"135","author":"Y Lin","year":"1988","unstructured":"Lin, Y.: A mixed type boundary problem describing the propagation of disturbances in viscous media I, weak solution for quasi-linear equations. J. Math. Anal. Appl. 135, 644\u2013653 (1988)","journal-title":"J. Math. Anal. Appl."},{"key":"10305_CR37","unstructured":"Lions, P.L.: On the Schwarz alternating method. III: a variant for nonoverlapping subdomains. In: 3rd international symposium on domain decomposition methods for partial differential equations, vol.\u00a06, pp. 202\u2013223. SIAM, Philadelphia, PA (1990)"},{"issue":"1","key":"10305_CR38","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1002\/num.22397","volume":"36","author":"Z Luo","year":"2020","unstructured":"Luo, Z., Jin, S.: A reduced-order extrapolated Crank-Nicolson collocation spectral method based on proper orthogonal decomposition for the two-dimensional viscoelastic wave equations. Numer. Methods Partial Differential Equations 36(1), 49\u201365 (2020)","journal-title":"Numer. Methods Partial Differential Equations"},{"issue":"4","key":"10305_CR39","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1016\/j.apnum.2004.08.022","volume":"52","author":"V Martin","year":"2005","unstructured":"Martin, V.: An optimized Schwarz waveform relaxation method for the unsteady convection-diffusion equation in two dimensions. Appl. Numer. Math. 52(4), 401\u2013428 (2005)","journal-title":"Appl. Numer. Math."},{"key":"10305_CR40","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2021.113695","volume":"398","author":"O Nikan","year":"2021","unstructured":"Nikan, O., Avazzadeh, Z.: Coupling of the Crank-Nicolson scheme and localized meshless technique for viscoelastic wave model in fluid flow. J. Comput. Appl. Math. 398, 113695 (2021)","journal-title":"J. Comput. Appl. Math."},{"issue":"12","key":"10305_CR41","doi-asserted-by":"publisher","first-page":"3272","DOI":"10.1016\/j.camwa.2020.01.025","volume":"79","author":"\u00d6 Oru\u00e7","year":"2020","unstructured":"Oru\u00e7, \u00d6.: Two meshless methods based on local radial basis function and barycentric rational interpolation for solving 2D viscoelastic wave equation. Comput. Math. Appl. 79(12), 3272\u20133288 (2020)","journal-title":"Comput. Math. Appl."},{"issue":"3","key":"10305_CR42","doi-asserted-by":"publisher","first-page":"511","DOI":"10.1007\/s00220-004-1233-1","volume":"253","author":"V Pata","year":"2005","unstructured":"Pata, V., Squassina, M.: On the strongly damped wave equation. Comm. Math. Phys. 253(3), 511\u2013533 (2005)","journal-title":"Comm. Math. Phys."},{"key":"10305_CR43","first-page":"272","volume":"15","author":"HA Schwarz","year":"1870","unstructured":"Schwarz, H.A.: Ueber einen Grenz\u00fcbergang durch alternirendes Verfahren. Vierteljahrsschrift der Naturforschenden Gesellschaft in Z\u00fcrich 15, 272\u2013286 (1870)","journal-title":"Vierteljahrsschrift der Naturforschenden Gesellschaft in Z\u00fcrich"},{"issue":"3","key":"10305_CR44","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1002\/(SICI)1099-1476(200002)23:3<203::AID-MMA111>3.0.CO;2-M","volume":"23","author":"Y Shibata","year":"2000","unstructured":"Shibata, Y.: On the rate of decay of solutions to linear viscoelastic equation. Math. Methods Appl. Sci. 23(3), 203\u2013226 (2000)","journal-title":"Math. Methods Appl. Sci."},{"key":"10305_CR45","doi-asserted-by":"publisher","first-page":"113","DOI":"10.1016\/j.camwa.2021.08.003","volume":"99","author":"K Shukla","year":"2021","unstructured":"Shukla, K., Chan, J., Maarten, V.: A high order discontinuous Galerkin method for the symmetric form of the anisotropic viscoelastic wave equation. Comput. Math. Appl. 99, 113\u2013132 (2021)","journal-title":"Comput. Math. Appl."},{"key":"10305_CR46","doi-asserted-by":"crossref","unstructured":"Stucky, P., Lord, W.: Finite element modeling of ultrasonic waves in viscoelastic media. In: Review of Progress in Quantitative Nondestructive Evaluation, pp. 113\u2013120. Springer, Boston, MA (1997)","DOI":"10.1007\/978-1-4615-5947-4_15"},{"key":"10305_CR47","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2020.112816","volume":"375","author":"X Wang","year":"2020","unstructured":"Wang, X., Gao, F., Sun, Z.: Weak Galerkin finite element method for viscoelastic wave equations. J. Comput. Appl. Math. 375, 112816 (2020)","journal-title":"J. Comput. Appl. Math."},{"issue":"2","key":"10305_CR48","doi-asserted-by":"publisher","first-page":"1216","DOI":"10.1093\/gji\/ggv514","volume":"204","author":"Y Wang","year":"2016","unstructured":"Wang, Y.: Generalized viscoelastic wave equation. Geophys. J. Int. 204(2), 1216\u20131221 (2016)","journal-title":"Geophys. J. Int."},{"key":"10305_CR49","doi-asserted-by":"publisher","first-page":"842","DOI":"10.1007\/s10915-017-0379-x","volume":"72","author":"SL Wu","year":"2017","unstructured":"Wu, S.L.: Optimized overlapping Schwarz waveform relaxation for a class of time-fractional diffusion problems. J. Sci. Comput. 72, 842\u2013862 (2017)","journal-title":"J. Sci. Comput."},{"issue":"18","key":"10305_CR50","doi-asserted-by":"publisher","first-page":"6880","DOI":"10.1002\/mma.4499","volume":"40","author":"H Xia","year":"2017","unstructured":"Xia, H., Luo, Z.: A POD-based-optimized finite difference CN-extrapolated implicit scheme for the 2D viscoelastic wave equation. Math. Methods Appl. Sci. 40(18), 6880\u20136890 (2017)","journal-title":"Math. Methods Appl. Sci."},{"key":"10305_CR51","doi-asserted-by":"publisher","first-page":"182","DOI":"10.1553\/etna_vol49s182","volume":"49","author":"Y Xu","year":"2018","unstructured":"Xu, Y.: The influence of domain truncation on the performance of optimized Schwarz methods. Electron. Trans. Numer. Anal. 49, 182\u2013209 (2018)","journal-title":"Electron. Trans. Numer. Anal."},{"issue":"2","key":"10305_CR52","doi-asserted-by":"publisher","first-page":"A427","DOI":"10.1137\/21M1459915","volume":"45","author":"Y Xu","year":"2023","unstructured":"Xu, Y., Sun, Y., Wang, S., Gao, S.: Optimized Schwarz methods for the Cahn-Hilliard equation. SIAM J. Sci. Comput. 45(2), A427\u2013A456 (2023)","journal-title":"SIAM J. Sci. Comput."},{"issue":"1","key":"10305_CR53","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/241984","volume":"2012","author":"Y Zhao","year":"2012","unstructured":"Zhao, Y., Li, L.: On the convergence of continuous-time waveform relaxation methods for singular perturbation initial value problems. J. Appl. Math. 2012(1), 241984 (2012)","journal-title":"J. Appl. Math."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-026-10305-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10444-026-10305-8","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-026-10305-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,17]],"date-time":"2026-07-17T09:01:59Z","timestamp":1784278919000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10444-026-10305-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,4,29]]},"references-count":53,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2026,6]]}},"alternative-id":["10305"],"URL":"https:\/\/doi.org\/10.1007\/s10444-026-10305-8","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,4,29]]},"assertion":[{"value":"13 September 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 April 2026","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 April 2026","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"Not applicable.","order":1,"name":"Ethics","label":"Ethics approval and consent to participate","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"Not applicable.","order":2,"name":"Ethics","label":"Consent for publication","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":3,"name":"Ethics","label":"Competing interests","group":{"name":"EthicsHeading","label":"Declarations"}}],"article-number":"33"}}