{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,18]],"date-time":"2026-01-18T09:32:56Z","timestamp":1768728776275,"version":"3.49.0"},"reference-count":53,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,4,26]],"date-time":"2015-04-26T00:00:00Z","timestamp":1430006400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Sci Comput"],"published-print":{"date-parts":[[2016,1]]},"DOI":"10.1007\/s10915-015-0027-2","type":"journal-article","created":{"date-parts":[[2015,4,25]],"date-time":"2015-04-25T07:56:23Z","timestamp":1429948583000},"page":"406-434","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":17,"title":["A Comparison of Artificial Viscosity, Limiters, and Filters, for High Order Discontinuous Galerkin Solutions in Nonlinear Settings"],"prefix":"10.1007","volume":"66","author":[{"given":"C.","family":"Michoski","sequence":"first","affiliation":[]},{"given":"C.","family":"Dawson","sequence":"additional","affiliation":[]},{"given":"E. J.","family":"Kubatko","sequence":"additional","affiliation":[]},{"given":"D.","family":"Wirasaet","sequence":"additional","affiliation":[]},{"given":"S.","family":"Brus","sequence":"additional","affiliation":[]},{"given":"J. J.","family":"Westerink","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,4,26]]},"reference":[{"issue":"1","key":"27_CR1","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1006\/jcph.1994.1148","volume":"114","author":"R Abgrall","year":"1994","unstructured":"Abgrall, R.: On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation. J. Comput. Phys. 114(1), 45\u201358 (1994). doi: 10.1006\/jcph.1994.1148","journal-title":"J. Comput. Phys."},{"key":"27_CR2","doi-asserted-by":"crossref","unstructured":"Arnold, D.N., Brezzi, F., Cockburn, B., Marini, L.D.: Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 39(5), 1749\u20131779 (2001\/02). ISSN 0036\u20131429. doi: 10.1137\/S0036142901384162","DOI":"10.1137\/S0036142901384162"},{"key":"27_CR3","doi-asserted-by":"crossref","unstructured":"Arnold, D.N., Brezzi, F., Cockburn, B., Marini, D.: Discontinuous Galerkin methods for elliptic problems. In: Discontinuous Galerkin methods (Newport, RI, 1999). Lecture Notes in Computer Science Engineering, vol. 11, pp. 89\u2013101. Springer, Berlin (2000)","DOI":"10.1007\/978-3-642-59721-3_5"},{"issue":"5","key":"27_CR4","doi-asserted-by":"crossref","first-page":"1810","DOI":"10.1016\/j.jcp.2009.11.010","volume":"229","author":"GE Barter","year":"2010","unstructured":"Barter, G.E., Darmofal, D.L.: Shock capturing with PDE-based artificial viscosity for DGFEM: part I. Formulation. J. Comput. Phys. 229(5), 1810\u20131827 (2010). doi: 10.1016\/j.jcp.2009.11.010","journal-title":"J. Comput. Phys."},{"key":"27_CR5","doi-asserted-by":"crossref","unstructured":"Barth, T., Jesperson, D.C.: The design and application of upwind schems and unstructured meshes. AIAA, paper 89\u20130366 (1989)","DOI":"10.2514\/6.1989-366"},{"key":"27_CR6","doi-asserted-by":"crossref","unstructured":"Bell, J.B., Dawson, C.N., Shubin, G.R.: An unsplit, higher order godunov method for scalar conservation laws in multiple dimensions. J. Comput. Phys. 74(1), 1\u201324 (1988). ISSN 0021\u20139991. doi: 10.1016\/0021-9991(88)90065-4 . http:\/\/www.sciencedirect.com\/science\/article\/B6WHY-4DD1T8P-N0\/2\/aba1bf519b0924a0a20968665aa37091","DOI":"10.1016\/0021-9991(88)90065-4"},{"issue":"17\u201320","key":"27_CR7","doi-asserted-by":"crossref","first-page":"1548","DOI":"10.1016\/j.cma.2009.01.008","volume":"198","author":"S Bunya","year":"2009","unstructured":"Bunya, S., Kubatko, E.J., Westerink, J.J., Dawson, C.: A wetting and drying treatment for the Runge\u2013Kutta discontinuous Galerkin solution to the shallow water equations. Comput. Methods Appl. Mech. Eng. 198(17\u201320), 1548\u20131562 (2009). doi: 10.1016\/j.cma.2009.01.008","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"2","key":"27_CR8","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1175\/2009MWR2906.1","volume":"138","author":"S Bunya","year":"2010","unstructured":"Bunya, S., Dietrich, J.C., Westerink, J.J., Ebersole, B.A., Smith, J.M., Atkinson, J.H., Jensen, R., Resio, D.T., Luettich, R.A., Dawson, C., Cardone, V.J., Cox, A.T., Powell, M.D., Westerink, H.J., Roberts, H.J.: A high-resolution coupled riverine flow, tide, wind, wind wave, and storm surge model for southern Louisiana and Mississippi. Part I: Model Development and Validation. Mon. Weather Rev. 138(2), 345\u2013377 (2010). doi: 10.1175\/2009MWR2906.1","journal-title":"Mon. Weather Rev."},{"issue":"6","key":"27_CR9","doi-asserted-by":"crossref","first-page":"737","DOI":"10.1002\/fld.3682","volume":"71","author":"E Casoni","year":"2013","unstructured":"Casoni, E., Peraire, J., Huerta, A.: One-dimensional shock-capturing for high-order discontinuous Galerkin methods. Int. J. Numer. Methods Fluids 71(6), 737\u2013755 (2013). doi: 10.1002\/fld.3682","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"27_CR10","doi-asserted-by":"crossref","unstructured":"Cockburn, B.: An introduction to the discontinuous Galerkin method for convection-dominated problems. In: Advanced Numerical Approximation of Nonlinear Hyperbolic Equations (Cetraro, 1997). Lecture Notes in Mathematics, vol. 1697, pp. 151\u2013268. Springer, Berlin (1998)","DOI":"10.1007\/BFb0096353"},{"issue":"186","key":"27_CR11","first-page":"411","volume":"52","author":"B Cockburn","year":"1989","unstructured":"Cockburn, B., Shu, C.-W.: TVB Runge\u2013Kutta local projection discontinuous Galerkin finite element method for conservation laws. II. General framework. Math. Comp. 52(186), 411\u2013435 (1989)","journal-title":"Math. Comp."},{"issue":"6","key":"27_CR12","doi-asserted-by":"crossref","first-page":"2440","DOI":"10.1137\/S0036142997316712","volume":"35","author":"B Cockburn","year":"1998","unstructured":"Cockburn, B., Shu, C.-W.: The local discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM J. Numer. Anal. 35(6), 2440\u20132463 (1998). (electronic)","journal-title":"SIAM J. Numer. Anal."},{"issue":"3","key":"27_CR13","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1023\/A:1012873910884","volume":"16","author":"B Cockburn","year":"2001","unstructured":"Cockburn, B., Shu, C.-W.: Runge\u2013Kutta discontinuous Galerkin methods for convection-dominated problems. J. Sci. Comput. 16(3), 173\u2013261 (2001)","journal-title":"J. Sci. Comput."},{"key":"27_CR14","doi-asserted-by":"crossref","unstructured":"Cockburn, B., Shu, C.W.: The runge-kutta discontinuous galerkin method for conservation laws v: multidimensional systems. J. Comput. Phys. 141(2), 199\u2013224(1998). ISSN 0021\u20139991. doi: 10.1006\/jcph.1998.5892 . http:\/\/www.sciencedirect.com\/science\/article\/B6WHY-45J593T6N\/2\/34d62c09260f2d7d0af3099d456a3b72","DOI":"10.1006\/jcph.1998.5892"},{"issue":"1","key":"27_CR15","doi-asserted-by":"crossref","first-page":"90","DOI":"10.1016\/0021-9991(89)90183-6","volume":"84","author":"B Cockburn","year":"1989","unstructured":"Cockburn, B., Lin, S.-Y., Shu, C.-W.: TVB Runge\u2013Kutta 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."},{"key":"27_CR16","doi-asserted-by":"crossref","unstructured":"Dawson, C., Kubatko, E.J., Westerink, J.J., Trahan, C., Mirabito, C., Michoski, C., Panda, N.: Discontinuous Galerkin methods for modeling hurricane storm surge. Adv. Water Resour. 34(9), 1165\u20131176 (2011). ISSN 0309\u20131708. doi: 10.1016\/j.advwatres.2010.11.004 . http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0309170810002137 . New Computational Methods and Software Tools","DOI":"10.1016\/j.advwatres.2010.11.004"},{"issue":"1","key":"27_CR17","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1002\/fld.1156","volume":"52","author":"C Dawson","year":"2006","unstructured":"Dawson, C., Westerink, J.J., Feyen, J.C., Pothina, D.: Continuous, discontinuous and coupled discontinuous\u2013continuous Galerkin finite element methods for the shallow water equations. Int. J. Numer. Methods Fluids 52(1), 63\u201388 (2006). doi: 10.1002\/fjd.1156","journal-title":"Int. J. Numer. Methods Fluids"},{"key":"27_CR18","doi-asserted-by":"crossref","unstructured":"DuChene, M., Spagnuolo, A.M., Kubatko, E., Westerink, J., Dawson, C.: A framework for running the ADCIRC discontinuous Galerkin storm surge model on a GPU. Procedia Comput. Sci. 4, 2017\u20132026 (2011). doi: 10.1016\/j.procs.2011.04.220 . http:\/\/www.sciencedirect.com\/science\/article\/pii\/S187705091100278X","DOI":"10.1016\/j.procs.2011.04.220"},{"key":"27_CR19","doi-asserted-by":"crossref","unstructured":"Durlofsky, L.J., Engquist, B., Osher, S.: Triangle based adaptive stencils for the solution of hyperbolic conservation laws. J. Comput. Phys. 98(1), 64\u201373 (1992). ISSN 0021\u20139991. doi: 10.1016\/0021-9991(92)90173-V . http:\/\/www.sciencedirect.com\/science\/article\/B6WHY-4DD1P88-NW\/2\/14f5775efbf9049e31e12411e2e34238","DOI":"10.1016\/0021-9991(92)90173-V"},{"key":"27_CR20","doi-asserted-by":"crossref","unstructured":"Feistauer, M., Felcman, J., Stra\u0161kraba, I.: Mathematical and Computational Methods for Compressible Flow. Numerical Mathematics and Scientific Computation. Oxford University Press (2003). ISBN 0-19-850588-4","DOI":"10.1093\/oso\/9780198505884.001.0001"},{"key":"27_CR21","doi-asserted-by":"crossref","unstructured":"Hesthaven, J.S., Warburton, T.: Nodal Discontinuous Galerkin Methods. In: Texts in Applied Mathematics, vol. 54. Springer, New York, (2008). ISBN 978-0-387-72065-4. doi: 10.1007\/978-0-387-72067-8 . Algorithms, analysis, and applications","DOI":"10.1007\/978-0-387-72067-8"},{"issue":"SI","key":"27_CR22","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1016\/j.compfluid.2012.03.006","volume":"61","author":"F Hindenlang","year":"2012","unstructured":"Hindenlang, F., Gassner, G.J., Altmann, C., Beck, A., Staudenmaier, M., Munz, C.-D.: Explicit discontinuous Galerkin methods for unsteady problems. Comput. Fluids 61(SI), 86\u201393 (2012). doi: 10.1016\/j.compfluid.2012.03.006","journal-title":"Comput. Fluids"},{"issue":"1","key":"27_CR23","doi-asserted-by":"crossref","first-page":"A351","DOI":"10.1137\/110830320","volume":"35","author":"D Ketcheson","year":"2013","unstructured":"Ketcheson, D., Parsani, M., LeVeque, R.: High-order wave propagation algorithms for hyperbolic systems. SIAM J. Sci. Comput. 35(1), A351\u2013A377 (2013). doi: 10.1137\/110830320","journal-title":"SIAM J. Sci. Comput."},{"issue":"21","key":"27_CR24","doi-asserted-by":"crossref","first-page":"7863","DOI":"10.1016\/j.jcp.2009.06.041","volume":"228","author":"A Kloeckner","year":"2009","unstructured":"Kloeckner, A., Warburton, T., Bridge, J., Hesthaven, J.S.: Nodal discontinuous Galerkin methods on graphics processors. J. Comput. Phys. 228(21), 7863\u20137882 (2009). doi: 10.1016\/j.jcp.2009.06.041","journal-title":"J. Comput. Phys."},{"issue":"3","key":"27_CR25","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1051\/mmnp\/20116303","volume":"6","author":"A Kloeckner","year":"2011","unstructured":"Kloeckner, A., Warburton, T., Hesthaven, J.S.: Viscous shock capturing in a time-explicit discontinuous Galerkin method. Math. Model. Nat. Phenom. 6(3), 57\u201383 (2011). doi: 10.1051\/mmnp\/20116303","journal-title":"Math. Model. Nat. Phenom."},{"key":"27_CR26","doi-asserted-by":"crossref","unstructured":"Kubatko, E.J., Westerink, J.J., Dawson, C.: hp discontinuous galerkin methods for advection dominated problems in shallow water flow. Comput. Methods Appl. Mech. Eng. 196(1\u20133), 437\u2013451 (2006). ISSN 0045\u20137825. doi: 10.1016\/j.cma.2006.05.002 . http:\/\/www.sciencedirect.com\/science\/article\/B6V29-4M1CYTM-1\/2\/6c45c85d20d17690046881a795b0b04d","DOI":"10.1016\/j.cma.2006.05.002"},{"issue":"2","key":"27_CR27","doi-asserted-by":"crossref","first-page":"832","DOI":"10.1016\/j.jcp.2006.08.005","volume":"222","author":"EJ Kubatko","year":"2007","unstructured":"Kubatko, E.J., Westerink, J.J., Dawson, C.: Semi discrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge\u2013Kutta time discretizations. J. Comput. Phys. 222(2), 832\u2013848 (2007a). doi: 10.1016\/j.jcp.2006.08.005","journal-title":"J. Comput. Phys."},{"issue":"23","key":"27_CR28","doi-asserted-by":"crossref","first-page":"9697","DOI":"10.1016\/j.jcp.2008.07.026","volume":"227","author":"EJ Kubatko","year":"2008","unstructured":"Kubatko, E.J., Dawson, C., Westerink, J.J.: Time step restrictions for Runge\u2013Kutta discontinuous Galerkin methods on triangular grids. J. Comput. Phys. 227(23), 9697\u20139710 (2008). doi: 10.1016\/j.jcp.2008.07.026","journal-title":"J. Comput. Phys."},{"issue":"1\u20133","key":"27_CR29","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1007\/s10915-009-9268-2","volume":"40","author":"EJ Kubatko","year":"2009","unstructured":"Kubatko, E.J., Bunya, S., Dawson, C., Westerink, J.J., Mirabito, C.: A performance comparison of continuous and discontinuous finite element shallow water models. J. Sci. Comput. 40(1\u20133), 315\u2013339 (2009). doi: 10.1007\/s10915-009-9268-2","journal-title":"J. Sci. Comput."},{"issue":"2","key":"27_CR30","doi-asserted-by":"crossref","first-page":"832","DOI":"10.1016\/j.jcp.2006.08.005","volume":"222","author":"Ethan J Kubatko","year":"2007","unstructured":"Kubatko, Ethan J., Westerink, Joannes J., Dawson, Clint: Semi discrete discontinuous Galerkin methods and stage-exceeding-order, strong-stability-preserving Runge\u2013Kutta time discretizations. J. Comput. Phys. 222(2), 832\u2013848 (2007b). doi: 10.1016\/j.jcp.2006.08.005","journal-title":"J. Comput. Phys."},{"issue":"1\u20133","key":"27_CR31","doi-asserted-by":"crossref","first-page":"437","DOI":"10.1016\/j.cma.2006.05.002","volume":"196","author":"Ethan J Kubatko","year":"2006","unstructured":"Kubatko, Ethan J., Westerink, Joannes J., Dawson, Clint: hp discontinuous Galerkin methods for advection dominated problems in shallow water flow. Comput. Methods Appl. Mech. Eng. 196(1\u20133), 437\u2013451 (2006). doi: 10.1016\/j.cma.2006.05.002","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"12","key":"27_CR32","doi-asserted-by":"crossref","first-page":"3077","DOI":"10.1016\/j.cam.2009.05.028","volume":"233","author":"D Kuzmin","year":"2010","unstructured":"Kuzmin, D.: A vertex-based hierarchical slope limiter for p-adaptive discontinuous Galerkin methods. J. Comput. Appl. Math. 233(12), 3077\u20133085 (2010). doi: 10.1016\/j.cam.2009.05.028","journal-title":"J. Comput. Appl. Math."},{"issue":"9","key":"27_CR33","doi-asserted-by":"crossref","first-page":"1178","DOI":"10.1002\/fld.3707","volume":"71","author":"D Kuzmin","year":"2013","unstructured":"Kuzmin, D.: Slope limiting for discontinuous Galerkin approximations with a possibly non-orthogonal Taylor basis. Int. J. Numer. Methods Fluids 71(9), 1178\u20131190 (2013). doi: 10.1002\/fld.3707","journal-title":"Int. J. Numer. Methods Fluids"},{"issue":"8","key":"27_CR34","first-page":"1478","volume":"11","author":"D Kuzmin","year":"2013","unstructured":"Kuzmin, D., Schieweck, F.: A parameter-free smoothness indicator for high-resolution finite element schemes. Central Eur. J. Math. 11(8), 1478\u20131488 (2013). doi: 10.2478\/s11533-013-0254-4","journal-title":"Central Eur. J. Math."},{"issue":"6","key":"27_CR35","doi-asserted-by":"crossref","first-page":"2442","DOI":"10.1137\/060666974","volume":"45","author":"Y Liu","year":"2007","unstructured":"Liu, Y., Shu, C.-W., Tadmor, E., Zhang, M.: Central discontinuous Galerkin methods on overlapping cells with a nonoscillatory hierarchical reconstruction. SIAM J. Numer. Anal. 45(6), 2442\u20132467 (2007). doi: 10.1137\/060666974 . (electronic)","journal-title":"SIAM J. Numer. Anal."},{"issue":"2","key":"27_CR36","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1137\/0730016","volume":"30","author":"Y Maday","year":"1993","unstructured":"Maday, Y., Kaber, S., Tadmor, E.: Legendre pseudospectral viscosity method for nonlinear conservation-laws. SIAM J. Numer. Anal. 30(2), 321\u2013342 (1993). doi: 10.1137\/0730016","journal-title":"SIAM J. Numer. Anal."},{"issue":"6","key":"27_CR37","doi-asserted-by":"crossref","first-page":"1840","DOI":"10.1002\/num.20705","volume":"28","author":"A Meister","year":"2012","unstructured":"Meister, A., Ortleb, S., Sonar, Th: Application of spectral filtering to discontinuous Galerkin methods on triangulations. Numer. Methods Partial Differ. Equ. 28(6), 1840\u20131868 (2012). doi: 10.1002\/num.20705","journal-title":"Numer. Methods Partial Differ. Equ."},{"issue":"6","key":"27_CR38","doi-asserted-by":"crossref","first-page":"2249","DOI":"10.1016\/j.jcp.2009.11.033","volume":"229","author":"C Michoski","year":"2010","unstructured":"Michoski, C., Evans, J.A., Schmitz, P.G., Vasseur, A.: A discontinuous Galerkin method for viscous compressible multifluids. J. Comput. Phys. 229(6), 2249\u20132266 (2010). doi: 10.1016\/j.jcp.2009.11.033","journal-title":"J. Comput. Phys."},{"issue":"22","key":"27_CR39","doi-asserted-by":"crossref","first-page":"8028","DOI":"10.1016\/j.jcp.2011.07.009","volume":"230","author":"C Michoski","year":"2011","unstructured":"Michoski, C., Mirabito, C., Dawson, C., Wirasaet, D., Kubatko, E.J., Westerink, J.J.: Adaptive hierarchic transformations for dynamically $$p$$ p -enriched slope-limiting over discontinuous Galerkin systems of generalized equations. J. Comput. Phys. 230(22), 8028\u20138056 (2011). doi: 10.1016\/j.jcp.2011.07.009","journal-title":"J. Comput. Phys."},{"key":"27_CR40","doi-asserted-by":"crossref","unstructured":"Michoski, C., Mirabito, C., Dawson, C., Wirasaet, D., Kubatko, E.J., Westerink, J.J.: Dynamic p-enrichment schemes for multicomponent reactive flows. Adv. Water Resour. 34(12), 1666\u20131680 (2011). ISSN 0309\u20131708. doi: 10.1016\/j.advwatres.2011.09.001 . http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0309170811001679","DOI":"10.1016\/j.advwatres.2011.09.001"},{"key":"27_CR41","unstructured":"Michoski, C., Evans, J.A., Schmitz, P.G.: Discontinuous Galerkin hp-adaptive methods for multiscale chemical reactors i: Quiescent reactors. Preprint (2013)"},{"issue":"5","key":"27_CR42","doi-asserted-by":"crossref","first-page":"947","DOI":"10.1137\/0722057","volume":"22","author":"S Osher","year":"1985","unstructured":"Osher, S.: Convergence of generalized MUSCL schemes. SIAM J. Numer. Anal. 22(5), 947\u2013961 (1985)","journal-title":"SIAM J. Numer. Anal."},{"key":"27_CR43","unstructured":"Persson, P.-O., Peraire, J.: Sub-cell shock capturing for discontinuous Galerkin methods. Preprint (2013)"},{"issue":"253","key":"27_CR44","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1090\/S0025-5718-05-01772-2","volume":"75","author":"SJ Ruuth","year":"2006","unstructured":"Ruuth, S.J.: Global optimization of explicit strong-stability-preserving Runge\u2013Kutta methods. Math. Comput. 75(253), 183\u2013207 (2006). doi: 10.1090\/S0025-5718-05-01772-2 . (electronic)","journal-title":"Math. Comput."},{"issue":"2","key":"27_CR45","doi-asserted-by":"crossref","first-page":"439","DOI":"10.1016\/0021-9991(88)90177-5","volume":"77","author":"C-W Shu","year":"1988","unstructured":"Shu, C.-W., Osher, S.: Efficient implementation of essentially nonoscillatory shock-capturing schemes. J. Comput. Phys. 77(2), 439\u2013471 (1988)","journal-title":"J. Comput. Phys."},{"issue":"2","key":"27_CR46","doi-asserted-by":"crossref","first-page":"A993","DOI":"10.1137\/110836456","volume":"34","author":"Eitan Tadmor","year":"2012","unstructured":"Tadmor, Eitan, Waagan, Knut: Adaptive spectral viscosity for hyperbolic conservation laws. SIAM J. Sci. Comput. 34(2), A993\u2013A1009 (2012). doi: 10.1137\/110836456","journal-title":"SIAM J. Sci. Comput."},{"key":"27_CR47","doi-asserted-by":"crossref","unstructured":"Thomas, J.W.: Numerical partial differential equations: finite difference methods. In: Texts in Applied Mathematics, vol. 22. Springer, New York (1995). ISBN 0-387-97999-9","DOI":"10.1007\/978-1-4899-7278-1"},{"key":"27_CR48","doi-asserted-by":"crossref","unstructured":"Wirasaet, D., Tanaka, S., Kubatko, E.J., Westerink, J.J., Dawson, C.: A performance comparison of nodal discontinuous Galerkin methods on triangles and quadrilaterals. Int. J. Numer. Methods Fluids 64(10\u201312), 1336\u20131362 (2010). ISSN 0271\u20132091. doi: 10.1002\/fld.2376 . 15th International Conference on Finite Elements in Flow Problems, Tokyo, Japan, April 01\u201303, 2009","DOI":"10.1002\/fld.2376"},{"key":"27_CR49","doi-asserted-by":"crossref","unstructured":"Xin, J.G., Flaherty, J.E.: Viscous stabilization of discontinuous Galerkin solutions of hyperbolic conservation laws. Appl. Numer. Math. 56(3\u20134), 444\u2013458 (2006). ISSN 0168\u20139274. doi: 10.1016\/j.apnum.2005.08.001 . 3rd International Conference on Numerical Solutions of Volterra and Delay Equations, Tempe, AZ, May, 2004","DOI":"10.1016\/j.apnum.2005.08.001"},{"key":"27_CR50","doi-asserted-by":"crossref","unstructured":"Xing, Y., Shu, C.W.: High-order finite volume weno schemes for the shallow water equations with dry states. Adv. Water Resour. 34(8), 1026\u20131038 (2011). ISSN 0309\u20131708. doi: 10.1016\/j.advwatres.2011.05.008 . http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0309170811000996","DOI":"10.1016\/j.advwatres.2011.05.008"},{"key":"27_CR51","doi-asserted-by":"crossref","unstructured":"Xing, Y., Zhang, X., Shu, C.-W.: Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations. Adv. Water Resour. 33(12), 1476\u20131493 (2010). ISSN 0309\u20131708. doi: 10.1016\/j.advwatres.2010.08.005 . http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0309170810001491","DOI":"10.1016\/j.advwatres.2010.08.005"},{"key":"27_CR52","doi-asserted-by":"crossref","first-page":"479","DOI":"10.1016\/j.cma.2012.08.018","volume":"253","author":"V Zingan","year":"2013","unstructured":"Zingan, V., Guermond, J.-L., Morel, J., Popov, B.: Implementation of the entropy viscosity method with the discontinuous Galerkin method. Comput. Methods Appl. Mech. Eng. 253, 479\u2013490 (2013). doi: 10.1016\/j.cma.2012.08.018","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"27_CR53","unstructured":"Zingan, V.N.: Discontinuous Galerkin finite element method for the nonlinear hyperbolic problems with entropy-based artificial viscosity stabilization. Dissertation, Texas A&M University (2012)"}],"container-title":["Journal of Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-015-0027-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10915-015-0027-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10915-015-0027-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,8]],"date-time":"2024-06-08T16:15:34Z","timestamp":1717863334000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10915-015-0027-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,4,26]]},"references-count":53,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,1]]}},"alternative-id":["27"],"URL":"https:\/\/doi.org\/10.1007\/s10915-015-0027-2","relation":{},"ISSN":["0885-7474","1573-7691"],"issn-type":[{"value":"0885-7474","type":"print"},{"value":"1573-7691","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,4,26]]}}}