{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,4]],"date-time":"2026-03-04T14:04:40Z","timestamp":1772633080720,"version":"3.50.1"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T00:00:00Z","timestamp":1769817600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T00:00:00Z","timestamp":1769817600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"name":"Natural Science Foundation of Nanjing University of Posts and Telecommunications","award":["NY224168"],"award-info":[{"award-number":["NY224168"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12071214"],"award-info":[{"award-number":["12071214"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12301513"],"award-info":[{"award-number":["12301513"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004608","name":"Natural Science Foundation of Jiangsu Province","doi-asserted-by":"publisher","award":["BK20230374"],"award-info":[{"award-number":["BK20230374"]}],"id":[{"id":"10.13039\/501100004608","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Natural Science Foundation of Jiangsu Higher Education Institutions of China","award":["23KJB110019"],"award-info":[{"award-number":["23KJB110019"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2026,3]]},"DOI":"10.1007\/s10915-026-03204-z","type":"journal-article","created":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T02:11:19Z","timestamp":1769825479000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Ultra-Weak Discontinuous Galerkin Methods for Two-Dimensional Diffusive-Viscous Wave Equations"],"prefix":"10.1007","volume":"106","author":[{"given":"Haijin","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qiang","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3370-718X","authenticated-orcid":false,"given":"Yuan","family":"Xu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2026,1,31]]},"reference":[{"key":"3204_CR1","unstructured":"Adams, R.A.: Sobolev Spaces. Academic Press (1975)"},{"issue":"4","key":"3204_CR2","doi-asserted-by":"publisher","first-page":"742","DOI":"10.1137\/0719052","volume":"19","author":"DN Arnold","year":"1982","unstructured":"Arnold, D.N.: An interior penalty finite element method with discontinuous elements. SIAM J. Numer. Anal. 19(4), 742\u2013760 (1982). https:\/\/doi.org\/10.1137\/0719052","journal-title":"SIAM J. Numer. Anal."},{"issue":"2\u20133","key":"3204_CR3","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1016\/S0168-9274(97)00056-1","volume":"25","author":"U Ascher","year":"1997","unstructured":"Ascher, U., Ruuth, S., Spiteri, R.: Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Appl. Numer. Math. 25(2\u20133), 151\u2013167 (1997). https:\/\/doi.org\/10.1016\/S0168-9274(97)00056-1","journal-title":"Appl. Numer. Math."},{"issue":"3","key":"3204_CR4","doi-asserted-by":"publisher","first-page":"797","DOI":"10.1137\/0732037","volume":"32","author":"U Ascher","year":"1995","unstructured":"Ascher, U., Ruuth, S., Wetton, B.: Implicit-explicit methods for time-dependent partial-differential equations. SIAM J. Numer. Anal. 32(3), 797\u2013823 (1995). https:\/\/doi.org\/10.1137\/0732037","journal-title":"SIAM J. Numer. Anal."},{"key":"3204_CR5","doi-asserted-by":"publisher","unstructured":"Brenner, S.C., Scott, L.R.: The Mathematical Theory of Finite Element Methods, Texts in Applied Mathematics, vol.\u00a015, third edn. Springer, New York (2008). https:\/\/doi.org\/10.1007\/978-0-387-75934-0","DOI":"10.1007\/978-0-387-75934-0"},{"issue":"349","key":"3204_CR6","doi-asserted-by":"publisher","first-page":"2135","DOI":"10.1090\/mcom\/3927","volume":"93","author":"Y Chen","year":"2024","unstructured":"Chen, Y., Xing, Y.: Optimal error estimates of ultra-weak discontinuous Galerkin methods with generalized numerical fluxes for multi-dimensional convection-diffusion and biharmonic equations. Math. Comput. 93(349), 2135\u20132183 (2024). https:\/\/doi.org\/10.1090\/mcom\/3927","journal-title":"Math. Comput."},{"issue":"262","key":"3204_CR7","doi-asserted-by":"publisher","first-page":"699","DOI":"10.1090\/S0025-5718-07-02045-5","volume":"77","author":"Y Cheng","year":"2008","unstructured":"Cheng, Y., Shu, C.W.: A discontinuous Galerkin finite element method for time dependent partial differential equations with higher order derivatives. Math. Comput. 77(262), 699\u2013730 (2008). https:\/\/doi.org\/10.1090\/S0025-5718-07-02045-5","journal-title":"Math. Comput."},{"key":"3204_CR8","volume-title":"The Finite Element Method for Elliptic Problems","author":"PG Ciarlet","year":"1978","unstructured":"Ciarlet, P.G.: The Finite Element Method for Elliptic Problems. North-Holland, Amsterdam (1978)"},{"key":"3204_CR9","doi-asserted-by":"publisher","unstructured":"Evans, L.C.: Partial Differential Equations, Graduate Studies in Mathematics, vol.\u00a019. American Mathematical Society, Providence, RI (1998). https:\/\/doi.org\/10.1090\/gsm\/019","DOI":"10.1090\/gsm\/019"},{"key":"3204_CR10","doi-asserted-by":"crossref","unstructured":"Goloshubin, G., Bakulin, A.: Seismic reflectivity of a thin porous fluid-saturated layer versus frequency. In: SEG Technical Program Expanded Abstracts 1998, pp. 976\u2013979. Society of Exploration Geophysicists (1998)","DOI":"10.1190\/1.1820656"},{"issue":"1","key":"3204_CR11","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1137\/S003614450036757X","volume":"43","author":"S Gottlieb","year":"2001","unstructured":"Gottlieb, S., Shu, C.W., Tadmor, E.: Strong stability-preserving high-order time discretization methods. SIAM Rev. 43(1), 89\u2013112 (2001). https:\/\/doi.org\/10.1137\/S003614450036757X","journal-title":"SIAM Rev."},{"issue":"1","key":"3204_CR12","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1007\/s10915-012-9621-8","volume":"53","author":"S Gottlieb","year":"2012","unstructured":"Gottlieb, S., Wang, C.: Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers\u2019 equation. J. Sci. Comput. 53(1), 102\u2013128 (2012). https:\/\/doi.org\/10.1007\/s10915-012-9621-8","journal-title":"J. Sci. Comput."},{"key":"3204_CR13","doi-asserted-by":"crossref","unstructured":"Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, second revised edn. Springer-Verlag, Berlin Heidelberg, Springer Series in Computational Mathematics (1996)","DOI":"10.1007\/978-3-642-05221-7"},{"key":"3204_CR14","doi-asserted-by":"publisher","first-page":"54","DOI":"10.1016\/j.camwa.2021.10.003","volume":"102","author":"W Han","year":"2021","unstructured":"Han, W., Song, C., Wang, F., Gao, J.: Numerical analysis of the diffusive-viscous wave equation. Comput. Math. Appl. 102, 54\u201364 (2021). https:\/\/doi.org\/10.1016\/j.camwa.2021.10.003","journal-title":"Comput. Math. Appl."},{"issue":"328","key":"3204_CR15","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1090\/mcom\/3602","volume":"90","author":"J Hu","year":"2021","unstructured":"Hu, J., Shu, R.: On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations. Math. Comput. 90(328), 641\u2013670 (2021). https:\/\/doi.org\/10.1090\/mcom\/3602","journal-title":"Math. Comput."},{"issue":"2","key":"3204_CR16","doi-asserted-by":"publisher","first-page":"2016","DOI":"10.1016\/j.jcp.2007.03.003","volume":"225","author":"W Hundsdorfer","year":"2007","unstructured":"Hundsdorfer, W., Ruuth, S.J.: IMEX extensions of linear multistep methods with general monotonicity and boundedness properties. J. Comput. Phys. 225(2), 2016\u20132042 (2007). https:\/\/doi.org\/10.1016\/j.jcp.2007.03.003","journal-title":"J. Comput. Phys."},{"issue":"2","key":"3204_CR17","doi-asserted-by":"publisher","first-page":"522","DOI":"10.1190\/1.1707072","volume":"69","author":"V Korneev","year":"2004","unstructured":"Korneev, V., Goloshubin, G., Daley, T., Silin, D.: Seismic low-frequency effects in monitoring fluid-saturated reservoirs. Geophysics 69(2), 522\u2013532 (2004). https:\/\/doi.org\/10.1190\/1.1707072","journal-title":"Geophysics"},{"issue":"4","key":"3204_CR18","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1007\/s10092-023-00541-5","volume":"60","author":"N Kumar","year":"2023","unstructured":"Kumar, N., Deka, B.: A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes. Calcolo 60(4), 47 (2023). https:\/\/doi.org\/10.1007\/s10092-023-00541-5","journal-title":"Calcolo"},{"key":"3204_CR19","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2023.108886","volume":"148","author":"D Ling","year":"2024","unstructured":"Ling, D., Guo, S.: Unconditionally energy-stable mapped Gegenbauer spectral Galerkin method for diffusive-viscous wave equation in unbounded domains. Appl. Math. Lett. 148, 108886 (2024). https:\/\/doi.org\/10.1016\/j.aml.2023.108886","journal-title":"Appl. Math. Lett."},{"issue":"2","key":"3204_CR20","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1007\/s10915-023-02175-9","volume":"95","author":"D Ling","year":"2023","unstructured":"Ling, D., Mao, Z.: Analysis and Hermite spectral approximation of diffusive-viscous wave equations in unbounded domains arising in geophysics. J. Sci. Comput. 95(2), 51 (2023). https:\/\/doi.org\/10.1007\/s10915-023-02175-9","journal-title":"J. Sci. Comput."},{"key":"3204_CR21","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2022.114690","volume":"419","author":"D Ling","year":"2023","unstructured":"Ling, D., Shu, C.W., Yan, W.: Local discontinuous Galerkin methods for diffusive-viscous wave equations. J. Comput. Appl. Math. 419, 114690 (2023). https:\/\/doi.org\/10.1016\/j.cam.2022.114690","journal-title":"J. Comput. Appl. Math."},{"issue":"2","key":"3204_CR22","doi-asserted-by":"publisher","first-page":"1444","DOI":"10.1093\/gji\/ggaa457","volume":"224","author":"V Mensah","year":"2021","unstructured":"Mensah, V., Hidalgo, A.: Modelling the effects of diffusive-viscous waves in a 3-D fluid-saturated media using two numerical approaches. Geophys. J. Int. 224(2), 1444\u20131464 (2021). https:\/\/doi.org\/10.1093\/gji\/ggaa457","journal-title":"Geophys. J. Int."},{"issue":"1","key":"3204_CR23","doi-asserted-by":"publisher","first-page":"33","DOI":"10.1093\/gji\/ggz141","volume":"218","author":"V Mensah","year":"2019","unstructured":"Mensah, V., Hidalgo, A., Medina Ferro, R.: Numerical modelling of the propagation of diffusive-viscous waves in a fluid-saturated reservoir using finite volume method. Geophys. J. Int. 218(1), 33\u201344 (2019). https:\/\/doi.org\/10.1093\/gji\/ggz141","journal-title":"Geophys. J. Int."},{"issue":"4","key":"3204_CR24","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1080\/01630568108816097","volume":"3","author":"O Nevanlinna","year":"1981","unstructured":"Nevanlinna, O., Odeh, F.: Multiplier techniques for linear multistep methods. Numer. Funct. Anal. Optim. 3(4), 377\u2013423 (1981). https:\/\/doi.org\/10.1080\/01630568108816097","journal-title":"Numer. Funct. Anal. Optim."},{"key":"3204_CR25","doi-asserted-by":"publisher","first-page":"128","DOI":"10.1016\/j.camwa.2023.11.023","volume":"154","author":"J Sun","year":"2024","unstructured":"Sun, J., Wang, F.: Local randomized neural networks with discontinuous Galerkin methods for diffusive-viscous wave equation. Comput. Math. Appl. 154, 128\u2013137 (2024). https:\/\/doi.org\/10.1016\/j.camwa.2023.11.023","journal-title":"Comput. Math. Appl."},{"key":"3204_CR26","doi-asserted-by":"publisher","first-page":"77","DOI":"10.1016\/j.camwa.2024.09.009","volume":"176","author":"H Wang","year":"2024","unstructured":"Wang, H., Jiang, L., Zhang, Q., Xu, Y., Shi, X.: Ultra-weak discontinuous Galerkin method with IMEX-BDF time marching for two dimensional convection-diffusion problems. Comput. Math. Appl. 176, 77\u201390 (2024). https:\/\/doi.org\/10.1016\/j.camwa.2024.09.009","journal-title":"Comput. Math. Appl."},{"key":"3204_CR27","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/s10915-023-02264-9","volume":"96","author":"H Wang","year":"2023","unstructured":"Wang, H., Shi, X., Zhang, Q.: Stability and error estimates of local discontinuous Galerkin methods with implicit-explicit backward difference formulas up to fifth order for convection-diffusion equation. J. Sci. Comput. 96, 37 (2023). https:\/\/doi.org\/10.1007\/s10915-023-02264-9","journal-title":"J. Sci. Comput."},{"issue":"1","key":"3204_CR28","doi-asserted-by":"publisher","first-page":"206","DOI":"10.1137\/140956750","volume":"53","author":"H Wang","year":"2015","unstructured":"Wang, H., Shu, C.W., Zhang, Q.: Stability and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for advection-diffusion problems. SIAM J. Numer. Anal. 53(1), 206\u2013227 (2015). https:\/\/doi.org\/10.1137\/140956750","journal-title":"SIAM J. Numer. Anal."},{"issue":"1","key":"3204_CR29","doi-asserted-by":"publisher","first-page":"1","DOI":"10.4208\/jcm.2202-m2021-0290","volume":"42","author":"H Wang","year":"2024","unstructured":"Wang, H., Xu, A., Tao, Q.: Analysis of the implicit-explicit ultra-weak discontinuous Galerkin method for convection-diffusion problems. J. Comput. Math. 42(1), 1\u201323 (2024). https:\/\/doi.org\/10.4208\/jcm.2202-m2021-0290","journal-title":"J. Comput. Math."},{"key":"3204_CR30","doi-asserted-by":"publisher","unstructured":"Wang, H., Zhang, Q., Shu, C.W.: Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs. ESAIM: M2AN 51(5), 1931\u20131955 (2017). https:\/\/doi.org\/10.1051\/m2an\/2017017","DOI":"10.1051\/m2an\/2017017"},{"key":"3204_CR31","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2024.116476","volume":"463","author":"S Wang","year":"2025","unstructured":"Wang, S.: Stable and high-order accurate finite difference methods for the diffusive viscous wave equation. J. Comput. Appl. Math. 463, 116476 (2025). https:\/\/doi.org\/10.1016\/j.cam.2024.116476","journal-title":"J. Comput. Appl. Math."},{"key":"3204_CR32","doi-asserted-by":"publisher","DOI":"10.1016\/j.aml.2022.108274","volume":"133","author":"W Wang","year":"2022","unstructured":"Wang, W., Yan, W., Yang, D.: A cell-centered finite volume scheme for the diffusive-viscous wave equation on general polygonal meshes. Appl. Math. Lett. 133, 108274 (2022). https:\/\/doi.org\/10.1016\/j.aml.2022.108274","journal-title":"Appl. Math. Lett."},{"key":"3204_CR33","doi-asserted-by":"publisher","first-page":"151","DOI":"10.1002\/fld.5336","volume":"97","author":"D Yang","year":"2024","unstructured":"Yang, D., Gao, Z., Yan, W.: A finite volume scheme employing the multipoint flux approximation with diamond stencil for the diffusive-viscous wave equation on general polyhedral meshes. Int. J. Numer. Methods Fluids 97, 151\u2013163 (2024). https:\/\/doi.org\/10.1002\/fld.5336","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"3204_CR34","doi-asserted-by":"publisher","unstructured":"Yao, G., Wang, Z., Wang, Z.: A conforming multi-domain Legendre spectral method for solving diffusive-viscous wave equations in the exterior domain with separated star-shaped obstacles. IMA J. Numer. Anal. (2024). https:\/\/doi.org\/10.1093\/imanum\/drae085. Online","DOI":"10.1093\/imanum\/drae085"},{"key":"3204_CR35","doi-asserted-by":"publisher","first-page":"118","DOI":"10.1016\/j.apnum.2022.08.014","volume":"183","author":"M Zhang","year":"2023","unstructured":"Zhang, M., Yan, W., Jing, F., Zhao, H.: Discontinuous Galerkin method for the diffusive-viscous wave equation. Appl. Numer. Math. 183, 118\u2013139 (2023). https:\/\/doi.org\/10.1016\/j.apnum.2022.08.014","journal-title":"Appl. Numer. Math."},{"issue":"2","key":"3204_CR36","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1137\/S0036142902404182","volume":"42","author":"Q Zhang","year":"2004","unstructured":"Zhang, Q., Shu, C.W.: Error estimates to smooth solutions of Runge-Kutta discontinuous Galerkin methods for scalar conservation laws. SIAM J. Numer. Anal. 42(2), 641\u2013666 (2004). https:\/\/doi.org\/10.1137\/S0036142902404182","journal-title":"SIAM J. Numer. Anal."},{"issue":"4","key":"3204_CR37","doi-asserted-by":"publisher","first-page":"703","DOI":"10.1007\/s00211-013-0573-1","volume":"126","author":"Q Zhang","year":"2014","unstructured":"Zhang, Q., Shu, C.W.: Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for a linear hyperbolic equation in one-dimension with discontinuous initial data. Numer. Math. 126(4), 703\u2013740 (2014). https:\/\/doi.org\/10.1007\/s00211-013-0573-1","journal-title":"Numer. Math."},{"key":"3204_CR38","unstructured":"Zhao, H., Gao, J., Chen, Z.: Stability and numerical dispersion analysis of finite-difference method for the diffusive-viscous wave equation. Int. J. Numer. Anal. Model. Ser. B 5(1-2), 66\u201378 (2014). https:\/\/api.semanticscholar.org\/CorpusID:32948467"},{"issue":"3","key":"3204_CR39","doi-asserted-by":"publisher","first-page":"838","DOI":"10.1109\/JSTARS.2013.2294190","volume":"7","author":"H Zhao","year":"2014","unstructured":"Zhao, H., Gao, J., Zhao, J.: Modeling the propagation of diffusive-viscous waves using flux-corrected transport-finite-difference method. IEEE J. Sel. Topics Appl. Earth Observ. Remote Sens. 7(3), 838\u2013844 (2014). https:\/\/doi.org\/10.1109\/JSTARS.2013.2294190","journal-title":"IEEE J. Sel. Topics Appl. Earth Observ. Remote Sens."},{"issue":"1","key":"3204_CR40","doi-asserted-by":"publisher","first-page":"51","DOI":"10.1093\/jge\/gxab073","volume":"19","author":"H Zhao","year":"2022","unstructured":"Zhao, H., Xu, W., Gao, J., Zhang, Y., Yan, W.: A finite-element algorithm with a perfectly matched layer boundary condition for seismic modelling in a diffusive-viscous medium. J. Geophys. Eng. 19(1), 51\u201366 (2022). https:\/\/doi.org\/10.1093\/jge\/gxab073","journal-title":"J. Geophys. Eng."}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-026-03204-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-026-03204-z","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-026-03204-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,4]],"date-time":"2026-03-04T07:14:08Z","timestamp":1772608448000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-026-03204-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,31]]},"references-count":40,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2026,3]]}},"alternative-id":["3204"],"URL":"https:\/\/doi.org\/10.1007\/s10915-026-03204-z","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,1,31]]},"assertion":[{"value":"21 July 2025","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"17 December 2025","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"21 January 2026","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"31 January 2026","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 no relevant financial or non-financial interests to disclose.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing Interests"}}],"article-number":"66"}}