{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,7]],"date-time":"2025-05-07T16:25:04Z","timestamp":1746635104095,"version":"3.37.3"},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2024,10,22]],"date-time":"2024-10-22T00:00:00Z","timestamp":1729555200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2024,10,22]],"date-time":"2024-10-22T00:00:00Z","timestamp":1729555200000},"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":["2012562","1937254","1937254","1620418"],"award-info":[{"award-number":["2012562","1937254","1937254","1620418"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["1620418","1908657","1908657"],"award-info":[{"award-number":["1620418","1908657","1908657"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","award":["376319"],"award-info":[{"award-number":["376319"]}],"id":[{"id":"10.13039\/100000893","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":[[2024,12]]},"DOI":"10.1007\/s10915-024-02675-2","type":"journal-article","created":{"date-parts":[[2024,10,22]],"date-time":"2024-10-22T07:02:17Z","timestamp":1729580537000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Discontinuous Galerkin Methods for a First-Order Semi-Linear Hyperbolic Continuum Model of a Topological Resonator Dimer Array"],"prefix":"10.1007","volume":"101","author":[{"given":"Qiang","family":"Du","sequence":"first","affiliation":[]},{"given":"Huaiyu","family":"Li","sequence":"additional","affiliation":[]},{"given":"Michael","family":"Weinstein","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2940-6261","authenticated-orcid":false,"given":"Lu","family":"Zhang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,10,22]]},"reference":[{"key":"2675_CR1","volume":"418","author":"Daniel Appel\u00f6","year":"2020","unstructured":"Appel\u00f6, Daniel, Hagstrom, Thomas, Wang, Qi., Zhang, Lu.: An energy-based discontinuous Galerkin method for semilinear wave equations. J. Comput. Phys. 418, 109608 (2020)","journal-title":"J. Comput. Phys."},{"key":"2675_CR2","unstructured":"Francesco Bassi, Stefano Rebay, Gianluca Mariotti, Savini Pedinotti, and Marco Savini. A high-order accurate discontinuous finite element method for inviscid and viscous turbomachinery flows. In Proceedings of the 2nd European Conference on Turbomachinery Fluid Dynamics and Thermodynamics, pages 99\u2013109. Antwerpen, Belgium, (1997)"},{"issue":"1","key":"2675_CR3","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/0021-9991(76)90110-8","volume":"22","author":"Richard M Beam","year":"1976","unstructured":"Beam, Richard M., Warming, Robert F.: An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. J. Comput. Phys. 22(1), 87\u2013110 (1976)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"2675_CR4","volume":"100","author":"Rajesh Chaunsali","year":"2019","unstructured":"Chaunsali, Rajesh, Theocharis, Georgios: Self-induced topological transition in phononic crystals by nonlinearity management. Phys. Rev. B 100(1), 014302 (2019)","journal-title":"Phys. Rev. B"},{"key":"2675_CR5","volume":"100","author":"Rajesh Chaunsali","year":"2019","unstructured":"Chaunsali, Rajesh, Theocharis, Georgios: Self-induced topological transition in phononic crystals by nonlinearity management. Phys. Rev. B 100, 014302 (2019)","journal-title":"Phys. Rev. B"},{"key":"2675_CR6","volume":"103","author":"Rajesh Chaunsali","year":"2021","unstructured":"Chaunsali, Rajesh, Haitao, Xu., Yang, Jinkyu, Kevrekidis, Panayotis G., Theocharis, Georgios: Stability of topological edge states under strong nonlinear effects. Phys. Rev. B 103, 024106 (2021)","journal-title":"Phys. Rev. B"},{"issue":"303","key":"2675_CR7","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1090\/mcom\/3090","volume":"86","author":"Yingda Cheng","year":"2017","unstructured":"Cheng, Yingda, Chou, Ching-Shan., Li, Fengyan, Xing, Yulong: $${L}^2$$ stable discontinuous Galerkin methods for one-dimensional two-way wave equations. Math. Comput. 86(303), 121\u2013155 (2017)","journal-title":"Math. Comput."},{"issue":"5","key":"2675_CR8","doi-asserted-by":"crossref","first-page":"2131","DOI":"10.1137\/050641193","volume":"44","author":"Eric T Chung","year":"2006","unstructured":"Chung, Eric T., Engquist, Bj\u00f6rn.: Optimal discontinuous galerkin methods for wave propagation. SIAM J. Numer. Anal. 44(5), 2131\u20132158 (2006)","journal-title":"SIAM J. Numer. Anal."},{"issue":"5","key":"2675_CR9","doi-asserted-by":"crossref","first-page":"3820","DOI":"10.1137\/080729062","volume":"47","author":"Eric T Chung","year":"2009","unstructured":"Chung, Eric T., Engquist, Bj\u00f6rn.: Optimal discontinuous Galerkin methods for the acoustic wave equation in higher dimensions. SIAM J. Numer. Anal. 47(5), 3820\u20133848 (2009)","journal-title":"SIAM J. Numer. Anal."},{"key":"2675_CR10","doi-asserted-by":"publisher","DOI":"10.1002\/9781119176817.ecm2053","author":"Bernardo Cockburn","year":"2018","unstructured":"Cockburn, Bernardo: Discontinuous Galerkin methods for computational fluid dynamics. Encycl. Computational Mech. Second Edition (2018). https:\/\/doi.org\/10.1002\/9781119176817.ecm2053","journal-title":"Encycl. Computational Mech. Second Edition"},{"issue":"190","key":"2675_CR11","first-page":"545","volume":"54","author":"Bernardo Cockburn","year":"1990","unstructured":"Cockburn, Bernardo, Hou, Suchung, Shu, Chi-Wang.: The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case. Math. Comput. 54(190), 545\u2013581 (1990)","journal-title":"Math. Comput."},{"key":"2675_CR12","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1007\/978-3-642-59721-3_1","volume-title":"Discontinuous Galerkin Methods","author":"Bernardo Cockburn","year":"2000","unstructured":"Cockburn, Bernardo, Karniadakis, George E., Shu, Chi-Wang.: The development of discontinuous Galerkin methods. In: Discontinuous Galerkin Methods, pp. 3\u201350. Springer, Berlin, Heidelberg (2000)"},{"issue":"1","key":"2675_CR13","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/0021-9991(89)90183-6","volume":"84","author":"Bernardo Cockburn","year":"1989","unstructured":"Cockburn, Bernardo, Lin, San-Yih., Shu, Chi-Wang.: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems. J. Comput. Phys. 84(1), 90\u2013113 (1989)","journal-title":"J. Comput. Phys."},{"issue":"242","key":"2675_CR14","doi-asserted-by":"crossref","first-page":"577","DOI":"10.1090\/S0025-5718-02-01464-3","volume":"72","author":"Bernardo Cockburn","year":"2003","unstructured":"Cockburn, Bernardo, Luskin, Mitchell, Shu, Chi-Wang., S\u00fcli, Endre: Enhanced accuracy by post-processing for finite element methods for hyperbolic equations. Math. Comput. 72(242), 577\u2013606 (2003)","journal-title":"Math. Comput."},{"issue":"186","key":"2675_CR15","first-page":"411","volume":"52","author":"Bernardo Cockburn","year":"1989","unstructured":"Cockburn, Bernardo, Shu, Chi-Wang.: TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework. Math. Comput. 52(186), 411\u2013435 (1989)","journal-title":"Math. Comput."},{"issue":"3","key":"2675_CR16","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1051\/m2an\/1991250303371","volume":"25","author":"Bernardo Cockburn","year":"1991","unstructured":"Cockburn, Bernardo, Shu, Chi-Wang.: The Runge-Kutta local projection $$p^1$$-discontinuous-Galerkin finite element method for scalar conservation laws. ESAIM: Math. Modelling Numeri. Anal. 25(3), 337\u2013361 (1991)","journal-title":"ESAIM: Math. Modelling Numeri. Anal."},{"issue":"6","key":"2675_CR17","doi-asserted-by":"crossref","first-page":"2440","DOI":"10.1137\/S0036142997316712","volume":"35","author":"Bernardo Cockburn","year":"1998","unstructured":"Cockburn, Bernardo, Shu, Chi-Wang.: The local discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM J. Numer. Anal. 35(6), 2440\u20132463 (1998)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"2675_CR18","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1006\/jcph.1998.5892","volume":"141","author":"Bernardo Cockburn","year":"1998","unstructured":"Cockburn, Bernardo, Shu, Chi-Wang.: The Runge-Kutta discontinuous Galerkin method for conservation laws V: multidimensional systems. J. Comput. Phys. 141(2), 199\u2013224 (1998)","journal-title":"J. Comput. Phys."},{"issue":"154","key":"2675_CR19","doi-asserted-by":"crossref","first-page":"455","DOI":"10.1090\/S0025-5718-1981-0606506-0","volume":"36","author":"Michel Delfour","year":"1981","unstructured":"Delfour, Michel, Hager, William, Trochu, Fran\u00e7ois: Discontinuous Galerkin methods for ordinary differential equations. Math. Computation 36(154), 455\u2013473 (1981)","journal-title":"Math. Computation"},{"issue":"1","key":"2675_CR20","doi-asserted-by":"crossref","first-page":"204","DOI":"10.1016\/j.jcp.2007.04.004","volume":"226","author":"Michael Dumbser","year":"2007","unstructured":"Dumbser, Michael, K\u00e4ser, Martin, Titarev, Vladimir A., Toro, Eleuterio F.: Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. J. Comput. Phys. 226(1), 204\u2013243 (2007)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"2675_CR21","doi-asserted-by":"crossref","first-page":"289","DOI":"10.1137\/0726016","volume":"26","author":"Bjorn Engquist","year":"1989","unstructured":"Engquist, Bjorn, Hou, Thomas Y.: Particle method approximation of oscillatory solutions to hyperbolic differential equations. SIAM J. Numer. Anal. 26(2), 289\u2013319 (1989)","journal-title":"SIAM J. Numer. Anal."},{"issue":"1\u20132","key":"2675_CR22","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1016\/S0377-0427(00)00510-0","volume":"128","author":"David Gottlieb","year":"2001","unstructured":"Gottlieb, David, Hesthaven, Jan S.: Spectral methods for hyperbolic problems. J. Comput. Appl. Math. 128(1\u20132), 83\u2013131 (2001)","journal-title":"J. Comput. Appl. Math."},{"issue":"8","key":"2675_CR23","doi-asserted-by":"crossref","first-page":"1974","DOI":"10.1021\/acsphotonics.7b00303","volume":"4","author":"Yakir Hadad","year":"2017","unstructured":"Hadad, Yakir, Vitelli, Vincenzo, Alu, Andrea: Solitons and propagating domain walls in topological resonator arrays. ACS Photonics 4(8), 1974\u20131979 (2017)","journal-title":"ACS Photonics"},{"key":"2675_CR24","doi-asserted-by":"crossref","first-page":"1974","DOI":"10.1021\/acsphotonics.7b00303","volume":"4","author":"Yakir Hadad","year":"2017","unstructured":"Hadad, Yakir, Vitelli, Vincenzo, Alu, Andrea: Solitons and propagating domain walls in topological resonator arrays. ACS Photonics 4, 1974\u20131979 (2017)","journal-title":"ACS Photonics"},{"issue":"1","key":"2675_CR25","volume":"100","author":"Frederick Haldane","year":"2008","unstructured":"Haldane, Frederick, Michael, Duncan, Raghu, Srinivas: Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett. 100(1), 013904 (2008)","journal-title":"Phys. Rev. Lett."},{"issue":"4","key":"2675_CR26","doi-asserted-by":"crossref","first-page":"3045","DOI":"10.1103\/RevModPhys.82.3045","volume":"82","author":"M Zahid Hasan","year":"2010","unstructured":"Zahid Hasan, M., Kane, Charles L.: Colloquium: topological insulators. Rev. Mod. Phys. 82(4), 3045\u20133067 (2010)","journal-title":"Rev. Mod. Phys."},{"issue":"3","key":"2675_CR27","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1103\/RevModPhys.60.781","volume":"60","author":"Alan J Heeger","year":"1988","unstructured":"Heeger, Alan J., Kivelson, Steven, Schrieffer, John Robert, Wu-Pei, Su.: Solitons in conducting polymers. Rev. Mod. Phys. 60(3), 781 (1988)","journal-title":"Rev. Mod. Phys."},{"key":"2675_CR28","volume-title":"Nodal discontinuous Galerkin methods: algorithms, analysis, and applications","author":"Jan S Hesthaven","year":"2007","unstructured":"Hesthaven, Jan S., Warburton, Tim: Nodal discontinuous Galerkin methods: algorithms, analysis, and applications. Springer Science & Business Media, Berlin Heidelberg (2007)"},{"issue":"7","key":"2675_CR29","doi-asserted-by":"crossref","first-page":"621","DOI":"10.1038\/nphys3801","volume":"12","author":"Sebastian D Huber","year":"2016","unstructured":"Huber, Sebastian D.: Topological mechanics. Nat. Phys. 12(7), 621\u2013623 (2016)","journal-title":"Nat. Phys."},{"key":"2675_CR30","volume":"105","author":"Lucien Jezequel","year":"2022","unstructured":"Jezequel, Lucien, Delplace, Pierre: Nonlinear edge modes from topological one-dimensional lattices. Phys. Rev. B 105, 035410 (2022)","journal-title":"Phys. Rev. B"},{"issue":"1\u20133","key":"2675_CR31","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/0045-7825(84)90158-0","volume":"45","author":"Claes Johnson","year":"1984","unstructured":"Johnson, Claes, N\u00e4vert, Uno, Pitk\u00e4ranta, Juhani: Finite element methods for linear hyperbolic problems. Comput. Methods Appl. Mech. Eng. 45(1\u20133), 285\u2013312 (1984)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"2675_CR32","doi-asserted-by":"crossref","first-page":"494","DOI":"10.1103\/PhysRevLett.45.494","volume":"45","author":"Klaus Von Klitzing","year":"1980","unstructured":"Von Klitzing, Klaus, Dorda, Gerhard, Pepper, Michael: New method for high-accuracy determination of the fine-structure constant based on quantized hall resistance. Phys. Rev. Lett. 45, 494\u2013497 (1980)","journal-title":"Phys. Rev. Lett."},{"issue":"3","key":"2675_CR33","doi-asserted-by":"crossref","first-page":"244","DOI":"10.1007\/BF01436628","volume":"21","author":"Pierre Lesaint","year":"1973","unstructured":"Lesaint, Pierre: Finite element methods for symmetric hyperbolic equations. Numer. Math. 21(3), 244\u2013255 (1973)","journal-title":"Numer. Math."},{"key":"2675_CR34","first-page":"1","volume":"S4","author":"Pierre Lesaint","year":"1974","unstructured":"Lesaint, Pierre, Raviart, Pierre-Arnaud.: On a finite element method for solving the neutron transport equation. Publ. math\u00e9mat. et inform. de Rennes S4, 1\u201340 (1974)","journal-title":"Publ. math\u00e9mat. et inform. de Rennes"},{"key":"2675_CR35","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511791253","volume-title":"Finite volume methods for hyperbolic problems","author":"Randall J LeVeque","year":"2002","unstructured":"LeVeque, Randall J., et al.: Finite volume methods for hyperbolic problems. Cambridge University Press., Cambridge (2002)"},{"key":"2675_CR36","unstructured":"Huaiyu Li, Andrew Hofstrand, and Michael\u00a0I. Weinstein. Coherent structures on a dimer lattice. Preprint"},{"issue":"11","key":"2675_CR37","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1038\/nphoton.2014.248","volume":"8","author":"Lu Ling","year":"2014","unstructured":"Ling, Lu.: John D Joannopoulos, and Marin Solja\u010di\u0107. Topol photonics. Nat. photonics 8(11), 821\u2013829 (2014)","journal-title":"Topol photonics. Nat. photonics"},{"issue":"299","key":"2675_CR38","doi-asserted-by":"crossref","first-page":"1225","DOI":"10.1090\/mcom\/3022","volume":"85","author":"Xiong Meng","year":"2016","unstructured":"Meng, Xiong, Shu, Chi-Wang., Boying, Wu.: Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations. Math. Comput. 85(299), 1225\u20131261 (2016)","journal-title":"Math. Comput."},{"issue":"1","key":"2675_CR39","doi-asserted-by":"crossref","first-page":"8682","DOI":"10.1038\/ncomms9682","volume":"6","author":"S Hossein Mousavi","year":"2015","unstructured":"Hossein Mousavi, S., Khanikaev, Alexander B., Wang, Zheng: Topologically protected elastic waves in phononic metamaterials. Nat. Commun. 6(1), 8682 (2015)","journal-title":"Nat. Commun."},{"issue":"10","key":"2675_CR40","doi-asserted-by":"crossref","first-page":"3695","DOI":"10.1016\/j.jcp.2011.01.035","volume":"230","author":"Ngoc Cuong Nguyen","year":"2011","unstructured":"Nguyen, Ngoc Cuong, Peraire, Jaume, Cockburn, Bernardo: High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics. J. Comput. Phys. 230(10), 3695\u20133718 (2011)","journal-title":"J. Comput. Phys."},{"issue":"1","key":"2675_CR41","volume":"91","author":"Tomoki Ozawa","year":"2019","unstructured":"Ozawa, Tomoki, Price, Hannah M., Amo, Alberto, Goldman, Nathan, Hafezi, Mohammad, Ling, Lu., Rechtsman, Mikael C., Schuster, David, Simon, Jonathan, Zilberberg, Oded, Carusotto, Iacopo: Topological photonics. Rev. Mod. Phys. 91(1), 015006 (2019)","journal-title":"Rev. Mod. Phys."},{"issue":"1","key":"2675_CR42","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1137\/0728006","volume":"28","author":"Todd E Peterson","year":"1991","unstructured":"Peterson, Todd E.: A note on the convergence of the discontinuous Galerkin method for a scalar hyperbolic equation. SIAM J. Numer. Anal. 28(1), 133\u2013140 (1991)","journal-title":"SIAM J. Numer. Anal."},{"key":"2675_CR43","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1007\/BFb0074532","volume-title":"Numerical methods in fluid dynamics","author":"Pierre-Arnaud Raviart","year":"1985","unstructured":"Raviart, Pierre-Arnaud.: An analysis of particle methods. In: Numerical methods in fluid dynamics, pp. 243\u2013324. Springer, Berlin Heidelberg (1985)"},{"key":"2675_CR44","unstructured":"William\u00a0H Reed and Thomas\u00a0R Hill. Triangular mesh methods for the neutron transport equation. Technical report, Los Alamos Scientific Lab., N. Mex.(USA), (1973)"},{"key":"2675_CR45","doi-asserted-by":"crossref","unstructured":"Andr\u00e9s\u00a0M Rueda-Ram\u00edrez, Florian\u00a0J Hindenlang, Jesse Chan, and Gregor\u00a0J Gassner. Entropy-stable Gauss collocation methods for ideal magneto-hydrodynamics. arXiv preprint arXiv:2203.06062, (2022)","DOI":"10.2139\/ssrn.4066401"},{"key":"2675_CR46","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-01818-8_2","author":"Chi-Wang Shu","year":"2014","unstructured":"Shu, Chi-Wang.: Discontinuous Galerkin method for time-dependent problems: survey and recent developments. Recent Dev. discontinuous Galerkin finite elem. methods partial differential Equ. (2014). https:\/\/doi.org\/10.1007\/978-3-319-01818-8_2","journal-title":"Recent Dev. discontinuous Galerkin finite elem. methods partial differential Equ."},{"key":"2675_CR47","volume":"7","author":"Daria Smirnova","year":"2020","unstructured":"Smirnova, Daria, Leykam, Daniel, Chong, Yidong, Kivshar, Yuri: Nonlinear topological photonics. Applied. Phys. Rev. 7, 021306 (2020)","journal-title":"Phys. Rev."},{"issue":"2","key":"2675_CR48","volume":"7","author":"Daria Smirnova","year":"2020","unstructured":"Smirnova, Daria, Leykam, Daniel, Chong, Yidong, Kivshar, Yuri: Nonlinear topological photonics. Applied. Phys. Rev. 7(2), 021306 (2020)","journal-title":"Phys. Rev."},{"issue":"1","key":"2675_CR49","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0021-9991(78)90023-2","volume":"27","author":"Gary A Sod","year":"1978","unstructured":"Sod, Gary A.: A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws. J. Comput. Phys. 27(1), 1\u201331 (1978)","journal-title":"J. Comput. Phys."},{"issue":"25","key":"2675_CR50","doi-asserted-by":"crossref","first-page":"1698","DOI":"10.1103\/PhysRevLett.42.1698","volume":"42","author":"Su Wu-Pei","year":"1979","unstructured":"Wu-Pei, Su.: John Robert Schrieffer, and Alan J Heeger. Solitons in polyacetylene. Physical review letters 42(25), 1698 (1979)","journal-title":"Solitons in polyacetylene. Physical review letters"},{"issue":"330","key":"2675_CR51","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.1090\/mcom\/3605","volume":"90","author":"Zheng Sun","year":"2021","unstructured":"Sun, Zheng, Xing, Yulong: Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes. Math. Comput. 90(330), 1741\u20131772 (2021)","journal-title":"Math. Comput."},{"issue":"1","key":"2675_CR52","doi-asserted-by":"crossref","first-page":"30","DOI":"10.1137\/0726003","volume":"26","author":"Eitan Tadmor","year":"1989","unstructured":"Tadmor, Eitan: Convergence of spectral methods for nonlinear conservation laws. SIAM J. Numer. Anal. 26(1), 30\u201344 (1989)","journal-title":"SIAM J. Numer. Anal."},{"issue":"10","key":"2675_CR53","volume":"115","author":"Pai Wang","year":"2015","unstructured":"Wang, Pai, Ling, Lu., Bertoldi, Katia: Topological phononic crystals with one-way elastic edge waves. Phys. Rev. Letters 115(10), 104302 (2015)","journal-title":"Phys. Rev. Letters"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-024-02675-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10915-024-02675-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-024-02675-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,11,29]],"date-time":"2024-11-29T10:08:04Z","timestamp":1732874884000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10915-024-02675-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,22]]},"references-count":53,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2024,12]]}},"alternative-id":["2675"],"URL":"https:\/\/doi.org\/10.1007\/s10915-024-02675-2","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"type":"print","value":"0885-7474"},{"type":"electronic","value":"1573-7691"}],"subject":[],"published":{"date-parts":[[2024,10,22]]},"assertion":[{"value":"30 January 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"6 August 2024","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"30 August 2024","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"22 October 2024","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 declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"58"}}