Zhao, Zhonglong; He, Lingchao \(M\)-lump and hybrid solutions of a generalized \((2+1)\)-dimensional Hirota-Satsuma-Ito equation. (English) Zbl 1450.35116 Appl. Math. Lett. 111, Article ID 106612, 8 p. (2021). MSC: 35C08 35C07 35G25 35Q35 PDF BibTeX XML Cite \textit{Z. Zhao} and \textit{L. He}, Appl. Math. Lett. 111, Article ID 106612, 8 p. (2021; Zbl 1450.35116) Full Text: DOI
Delgado-Sánchez, J. M.; Bouchut, Francois; Fernández-Nieto, E. D.; Mangeney, A.; Narbona-Reina, G. A two-layer shallow flow model with two axes of integration, well-balanced discretization and application to submarine avalanches. (English) Zbl 07303159 J. Comput. Phys. 406, Article ID 109186, 27 p. (2020). MSC: 65M08 86A15 76U60 76T25 76M12 PDF BibTeX XML Cite \textit{J. M. Delgado-Sánchez} et al., J. Comput. Phys. 406, Article ID 109186, 27 p. (2020; Zbl 07303159) Full Text: DOI
Bacigaluppi, Paola; Ricchiuto, Mario; Bonneton, Philippe Implementation and evaluation of breaking detection criteria for a hybrid Boussinesq model. (English) Zbl 07302959 Water Waves 2, No. 2, 207-241 (2020). MSC: 76B15 76M12 76M10 86A05 65M06 76B25 PDF BibTeX XML Cite \textit{P. Bacigaluppi} et al., Water Waves 2, No. 2, 207--241 (2020; Zbl 07302959) Full Text: DOI
Bürger, Raimund; Fernández-Nieto, Enrique D.; Osores, Víctor A multilayer shallow water approach for polydisperse sedimentation with sediment compressibility and mixture viscosity. (English) Zbl 07299274 J. Sci. Comput. 85, No. 2, Paper No. 49, 39 p. (2020). MSC: 65M08 65N06 76T20 76N06 PDF BibTeX XML Cite \textit{R. Bürger} et al., J. Sci. Comput. 85, No. 2, Paper No. 49, 39 p. (2020; Zbl 07299274) Full Text: DOI
da Silva, Priscila Leal; Freire, Igor Leite Integrability, existence of global solutions, and wave breaking criteria for a generalization of the Camassa-Holm equation. (English) Zbl 07279117 Stud. Appl. Math. 145, No. 3, 537-562 (2020). MSC: 35A01 35A02 35Q35 PDF BibTeX XML Cite \textit{P. L. da Silva} and \textit{I. L. Freire}, Stud. Appl. Math. 145, No. 3, 537--562 (2020; Zbl 07279117) Full Text: DOI
Khrapov, S. S.; Khoperskov, A. V. Application of graphics processing units for self-consistent modelling of shallow water dynamics and sediment transport. (English) Zbl 07266194 Lobachevskii J. Math. 41, No. 8, 1475-1484 (2020). MSC: 76 82 PDF BibTeX XML Cite \textit{S. S. Khrapov} and \textit{A. V. Khoperskov}, Lobachevskii J. Math. 41, No. 8, 1475--1484 (2020; Zbl 07266194) Full Text: DOI
Franck, Emmanuel; Navoret, Laurent Semi-implicit two-speed well-balanced relaxation scheme for Ripa model. (English) Zbl 07239658 Klöfkorn, Robert (ed.) et al., Finite volumes for complex applications IX – methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15–19, 2020. In 2 volumes. Volume I and II. Cham: Springer (ISBN 978-3-030-43650-6/hbk; 978-3-030-43651-3/ebook). Springer Proceedings in Mathematics & Statistics 323, 735-743 (2020). MSC: 65M08 65N08 65M06 76B15 35Q31 PDF BibTeX XML Cite \textit{E. Franck} and \textit{L. Navoret}, in: Finite volumes for complex applications IX -- methods, theoretical aspects, examples. FVCA 9, Bergen, Norway, June 15--19, 2020. In 2 volumes. Volume I and II. Cham: Springer. 735--743 (2020; Zbl 07239658) Full Text: DOI
Li, Jibin; Chen, Guanrong; Song, Jie Bifurcations and dynamics of traveling wave solutions for the regularized Saint-Venant equation. (English) Zbl 1445.35037 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050109, 19 p. (2020). MSC: 35B32 35C07 35C08 35Q35 PDF BibTeX XML Cite \textit{J. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 7, Article ID 2050109, 19 p. (2020; Zbl 1445.35037) Full Text: DOI
Chandrashekar, Praveen; Nkonga, Boniface; Meena, Asha Kumari; Bhole, Ashish A path conservative finite volume method for a shear shallow water model. (English) Zbl 1436.76036 J. Comput. Phys. 413, Article ID 109457, 28 p. (2020). MSC: 76M12 65M08 76B15 PDF BibTeX XML Cite \textit{P. Chandrashekar} et al., J. Comput. Phys. 413, Article ID 109457, 28 p. (2020; Zbl 1436.76036) Full Text: DOI
Wang, Hongda; Liu, Haifei Cross-dimensional modeling of shallow water flow. (English) Zbl 1441.76095 Comput. Methods Appl. Mech. Eng. 360, Article ID 112686, 17 p. (2020). MSC: 76M28 PDF BibTeX XML Cite \textit{H. Wang} and \textit{H. Liu}, Comput. Methods Appl. Mech. Eng. 360, Article ID 112686, 17 p. (2020; Zbl 1441.76095) Full Text: DOI
Li, Jibin; Chen, Guanrong; Song, Jie Completing the study of traveling wave solutions for three two-component shallow water wave models. (English) Zbl 1444.34004 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2050036, 22 p. (2020). MSC: 34A05 34C23 34C05 34C25 34C37 35C07 35Q53 PDF BibTeX XML Cite \textit{J. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 3, Article ID 2050036, 22 p. (2020; Zbl 1444.34004) Full Text: DOI
Li, Jibin; Chen, Guanrong; Song, Jie Bifurcations of traveling wave solutions for fully nonlinear water waves with surface tension in the generalized Serre-Green-Naghdi equations. (English) Zbl 1435.34007 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050019, 18 p. (2020). MSC: 34A05 35C08 35C07 35L05 34C05 34C37 34B40 PDF BibTeX XML Cite \textit{J. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 1, Article ID 2050019, 18 p. (2020; Zbl 1435.34007) Full Text: DOI
Britton, Jolene; Xing, Yulong High order still-water and moving-water equilibria preserving discontinuous Galerkin methods for the Ripa model. (English) Zbl 1448.35386 J. Sci. Comput. 82, No. 2, Paper No. 30, 37 p. (2020). MSC: 35Q35 65M60 PDF BibTeX XML Cite \textit{J. Britton} and \textit{Y. Xing}, J. Sci. Comput. 82, No. 2, Paper No. 30, 37 p. (2020; Zbl 1448.35386) Full Text: DOI
Reuter, Balthasar; Rupp, Andreas; Aizinger, Vadym; Knabner, Peter Discontinuous Galerkin method for coupling hydrostatic free surface flows to saturated subsurface systems. (English) Zbl 1442.65273 Comput. Math. Appl. 77, No. 9, 2291-2309 (2019). MSC: 65M60 65M12 76S05 PDF BibTeX XML Cite \textit{B. Reuter} et al., Comput. Math. Appl. 77, No. 9, 2291--2309 (2019; Zbl 1442.65273) Full Text: DOI
Li, Jibin; Chen, Guanrong; Song, Jie Exact traveling wave solutions and bifurcations of classical and modified Serre shallow water wave equations. (English) Zbl 1435.34006 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 12, Article ID 1950153, 25 p. (2019). MSC: 34A05 34B40 34C05 34C23 34C37 35C08 76B25 76D33 PDF BibTeX XML Cite \textit{J. Li} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 12, Article ID 1950153, 25 p. (2019; Zbl 1435.34006) Full Text: DOI
Bürger, Raimund; Fernández-Nieto, Enrique D.; Osores, Víctor A dynamic multilayer shallow water model for polydisperse sedimentation. (English) Zbl 07126999 ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1391-1432 (2019). MSC: 65N06 76T20 35R35 35P15 PDF BibTeX XML Cite \textit{R. Bürger} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 4, 1391--1432 (2019; Zbl 07126999) Full Text: DOI
Omel’yanov, Georgy Soliton dynamics for the general Degasperis-Procesi equation. (English) Zbl 1428.35394 Lindahl, Karl-Olof (ed.) et al., Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 445-454 (2019). MSC: 35Q35 35C08 PDF BibTeX XML Cite \textit{G. Omel'yanov}, in: Analysis, probability, applications, and computation. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 445--454 (2019; Zbl 1428.35394) Full Text: DOI arXiv
Mi, Yongsheng; Liu, Yue; Luo, Ting; Guo, Boling On the Cauchy problem for the shallow-water model with the Coriolis effect. (English) Zbl 1428.35390 J. Differ. Equations 267, No. 11, 6370-6408 (2019). MSC: 35Q35 35B44 35C07 35B40 76U05 76B15 35B65 35A01 PDF BibTeX XML Cite \textit{Y. Mi} et al., J. Differ. Equations 267, No. 11, 6370--6408 (2019; Zbl 1428.35390) Full Text: DOI
Parés, Carlos; Pimentel, Ernesto The Riemann problem for the shallow water equations with discontinuous topography: the wet-dry case. (English) Zbl 1416.76025 J. Comput. Phys. 378, 344-365 (2019). MSC: 76B15 76B03 65M08 35Q35 PDF BibTeX XML Cite \textit{C. Parés} and \textit{E. Pimentel}, J. Comput. Phys. 378, 344--365 (2019; Zbl 1416.76025) Full Text: DOI
Sándor, Balázs; Torma, Péter; Szabó, K. Gábor; Zhang, Hong On the topography-driven vorticity production in shallow lakes. (English) Zbl 1415.35232 ANZIAM J. 61, No. 2, 148-160 (2019). MSC: 35Q35 76D17 PDF BibTeX XML Cite \textit{B. Sándor} et al., ANZIAM J. 61, No. 2, 148--160 (2019; Zbl 1415.35232) Full Text: DOI
Luo, Ting; Liu, Yue; Mi, Yongsheng; Moon, Byungsoo On a shallow-water model with the Coriolis effect. (English) Zbl 1420.35251 J. Differ. Equations 267, No. 5, 3232-3270 (2019). MSC: 35Q35 35B10 35B65 76U05 35C07 35B40 76B15 35Q53 PDF BibTeX XML Cite \textit{T. Luo} et al., J. Differ. Equations 267, No. 5, 3232--3270 (2019; Zbl 1420.35251) Full Text: DOI
La Rocca, Michele; Montessori, Andrea; Prestininzi, Pietro; Elango, Lakshmanan A discrete Boltzmann equation model for two-phase shallow granular flows. (English) Zbl 1415.76713 Comput. Math. Appl. 75, No. 8, 2814-2824 (2018). MSC: 76T25 76M28 65M75 82C22 PDF BibTeX XML Cite \textit{M. La Rocca} et al., Comput. Math. Appl. 75, No. 8, 2814--2824 (2018; Zbl 1415.76713) Full Text: DOI
Zhao, Hongxia; Zhaqilao Multi-peakon solutions to a new \(n\)-component Camassa-Holm equation. (Chinese. English summary) Zbl 1424.35105 Math. Pract. Theory 48, No. 20, 212-221 (2018). MSC: 35C08 35Q53 PDF BibTeX XML Cite \textit{H. Zhao} and \textit{Zhaqilao}, Math. Pract. Theory 48, No. 20, 212--221 (2018; Zbl 1424.35105)
Bohacek, Jan; Kharicha, Abdellah; Ludwig, Andreas; Wu, Menghuai; Karimi-Sibaki, Ebrahim; Paar, Armin; Brandner, Michael; Elizondo, Leonel; Trickl, Thomas A (non-)hydrostatic free-surface numerical model for two-layer flows. (English) Zbl 1426.76453 Appl. Math. Comput. 319, 301-317 (2018). MSC: 76M20 65M06 76D05 PDF BibTeX XML Cite \textit{J. Bohacek} et al., Appl. Math. Comput. 319, 301--317 (2018; Zbl 1426.76453) Full Text: DOI
Godlewski, Edwige; Parisot, Martin; Sainte-Marie, Jacques; Wahl, Fabien Congested shallow water model: roof modeling in free surface flow. (English) Zbl 1417.35121 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1679-1707 (2018). MSC: 35Q35 35L65 76B07 76M12 74F10 35R35 65M08 76D05 PDF BibTeX XML Cite \textit{E. Godlewski} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1679--1707 (2018; Zbl 1417.35121) Full Text: DOI
Saleem, M. Rehan; Zia, Saqib; Ashraf, Waqas; Ali, Ishtiaq; Qamar, Shamsul The space-time CESE scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients. (English) Zbl 1409.76068 Comput. Math. Appl. 75, No. 3, 933-956 (2018). MSC: 76M10 65M60 76B15 35Q35 PDF BibTeX XML Cite \textit{M. R. Saleem} et al., Comput. Math. Appl. 75, No. 3, 933--956 (2018; Zbl 1409.76068) Full Text: DOI
Poulin, F. J.; Borissov, A.; Storer, B. A.; Stastna, Marek A shallow water model of the solar tachocline: a numerical approach to determine wave structure. (English) Zbl 06908924 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 25, No. 3-4, 219-231 (2018). MSC: 76 35 PDF BibTeX XML Cite \textit{F. J. Poulin} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 25, No. 3--4, 219--231 (2018; Zbl 06908924) Full Text: Link
Castro, Manuel J.; Ortega, Sergio; Parés, Carlos Reprint of: “Well-balanced methods for the shallow water equations in spherical coordinates”. (English) Zbl 1391.76392 Comput. Fluids 169, 129-140 (2018). MSC: 76M12 65M08 76D05 PDF BibTeX XML Cite \textit{M. J. Castro} et al., Comput. Fluids 169, 129--140 (2018; Zbl 1391.76392) Full Text: DOI
Cheviakov, Alexei F. Exact closed-form solutions of a fully nonlinear asymptotic two-fluid model. (English) Zbl 1390.35041 Physica D 370, 14-28 (2018). MSC: 35C05 35C08 76B15 35Q31 35C07 35B10 PDF BibTeX XML Cite \textit{A. F. Cheviakov}, Physica D 370, 14--28 (2018; Zbl 1390.35041) Full Text: DOI
Iguchi, Tatsuo Isobe-Kakinuma model for water waves as a higher order shallow water approximation. (English) Zbl 1390.35272 J. Differ. Equations 265, No. 3, 935-962 (2018). MSC: 35Q35 76B15 PDF BibTeX XML Cite \textit{T. Iguchi}, J. Differ. Equations 265, No. 3, 935--962 (2018; Zbl 1390.35272) Full Text: DOI arXiv
Lozovskiy, Alexander; Farthing, Matthew; Kees, Chris Evaluation of Galerkin and Petrov-Galerkin model reduction for finite element approximations of the shallow water equations. (English) Zbl 1439.76086 Comput. Methods Appl. Mech. Eng. 318, 537-571 (2017). MSC: 76M10 65M60 76B15 PDF BibTeX XML Cite \textit{A. Lozovskiy} et al., Comput. Methods Appl. Mech. Eng. 318, 537--571 (2017; Zbl 1439.76086) Full Text: DOI
Jung, Soyeun Traveling wave solutions for a shallow water model. (English) Zbl 1403.35185 Honam Math. J. 39, No. 4, 649-654 (2017). MSC: 35P05 PDF BibTeX XML Cite \textit{S. Jung}, Honam Math. J. 39, No. 4, 649--654 (2017; Zbl 1403.35185) Full Text: DOI
Castro, Manuel J.; Ortega, Sergio; Parés, Carlos Well-balanced methods for the shallow water equations in spherical coordinates. (English) Zbl 1390.76408 Comput. Fluids 157, 196-207 (2017). MSC: 76M12 65M08 76D05 PDF BibTeX XML Cite \textit{M. J. Castro} et al., Comput. Fluids 157, 196--207 (2017; Zbl 1390.76408) Full Text: DOI
Khorshid, Sepideh; Mohammadian, Abdolmajid; Nistor, Ioan Extension of a well-balanced central upwind scheme for variable density shallow water flow equations on triangular grids. (English) Zbl 1390.76584 Comput. Fluids 156, 441-448 (2017). MSC: 76M20 65M06 76B15 PDF BibTeX XML Cite \textit{S. Khorshid} et al., Comput. Fluids 156, 441--448 (2017; Zbl 1390.76584) Full Text: DOI
Bourdarias, Christian; Gerbi, Stéphane; Lteif, Ralph A numerical scheme for an improved Green-Naghdi model in the Camassa-Holm regime for the propagation of internal waves. (English) Zbl 1390.76400 Comput. Fluids 156, 283-304 (2017). MSC: 76M12 65M08 76B55 76M20 65M06 PDF BibTeX XML Cite \textit{C. Bourdarias} et al., Comput. Fluids 156, 283--304 (2017; Zbl 1390.76400) Full Text: DOI
Liu, Xin; Beljadid, Abdelaziz A coupled numerical model for water flow, sediment transport and bed erosion. (English) Zbl 1390.76478 Comput. Fluids 154, 273-284 (2017). MSC: 76M12 65M08 76B15 PDF BibTeX XML Cite \textit{X. Liu} and \textit{A. Beljadid}, Comput. Fluids 154, 273--284 (2017; Zbl 1390.76478) Full Text: DOI
Rossi, Giulia; Dumbser, Michael; Armanini, Aronne A well-balanced path conservative SPH scheme for nonconservative hyperbolic systems with applications to shallow water and multi-phase flows. (English) Zbl 1390.76760 Comput. Fluids 154, 102-122 (2017). MSC: 76M28 65M75 76B15 PDF BibTeX XML Cite \textit{G. Rossi} et al., Comput. Fluids 154, 102--122 (2017; Zbl 1390.76760) Full Text: DOI
Costabile, Pierfranco; Costanzo, Carmelina; Macchione, Francesco Performances and limitations of the diffusive approximation of the 2-d shallow water equations for flood simulation in urban and rural areas. (English) Zbl 1437.76009 Appl. Numer. Math. 116, 141-156 (2017). MSC: 76B15 76M12 86A05 PDF BibTeX XML Cite \textit{P. Costabile} et al., Appl. Numer. Math. 116, 141--156 (2017; Zbl 1437.76009) Full Text: DOI
Giraldi, Loïc; Le Maître, Olivier P.; Mandli, Kyle T.; Dawson, Clint N.; Hoteit, Ibrahim; Knio, Omar M. Bayesian inference of earthquake parameters from buoy data using a polynomial chaos-based surrogate. (English) Zbl 1369.86007 Comput. Geosci. 21, No. 4, 683-699 (2017). MSC: 86A15 62P12 62F15 PDF BibTeX XML Cite \textit{L. Giraldi} et al., Comput. Geosci. 21, No. 4, 683--699 (2017; Zbl 1369.86007) Full Text: DOI
Aïssiouene, Nora; Bristeau, Marie-Odile; Godlewski, Edwige; Mangeney, Anne; Parés, Carlos; Sainte-Marie, Jacques Application of a combined finite element – finite volume method to a 2D non-hydrostatic shallow water problem. (English) Zbl 1366.76046 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer (ISBN 978-3-319-57393-9/hbk; 978-3-319-57394-6/ebook; 978-3-319-58818-6/set). Springer Proceedings in Mathematics & Statistics 200, 219-226 (2017). MSC: 76M10 65M08 65M60 76M12 PDF BibTeX XML Cite \textit{N. Aïssiouene} et al., in: Finite volumes for complex applications VIII -- hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12--16, 2017. Cham: Springer. 219--226 (2017; Zbl 1366.76046) Full Text: DOI
Bourdarias, Christian; Gerbi, Stéphane; Lteif, Ralph A numerical scheme for the propagation of internal waves in an oceanographic model. (English) Zbl 1409.86001 Cancès, Clément (ed.) et al., Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. FVCA 8, Lille, France, June 12–16, 2017. Cham: Springer. Springer Proc. Math. Stat. 200, 101-108 (2017). MSC: 86-08 65M08 76B55 76M12 86A05 PDF BibTeX XML Cite \textit{C. Bourdarias} et al., Springer Proc. Math. Stat. 200, 101--108 (2017; Zbl 1409.86001) Full Text: DOI
Imranov, F. B.; Sokolov, A. G. On conservative and dissipative finite difference scheme of barotropic gas dynamics and its application to problems of calculation of large-scale sea currents using shallow water model. (English) Zbl 1367.76038 Azerb. J. Math. 7, No. 1, 105-124 (2017). MSC: 76M20 76N15 76B15 35Q31 35Q35 35L50 65N22 PDF BibTeX XML Cite \textit{F. B. Imranov} and \textit{A. G. Sokolov}, Azerb. J. Math. 7, No. 1, 105--124 (2017; Zbl 1367.76038)
Vargas-Magaña, R. M.; Panayotaros, P. A Whitham-Boussinesq long-wave model for variable topography. (English) Zbl 07209816 Wave Motion 65, 156-174 (2016). MSC: 76 35 PDF BibTeX XML Cite \textit{R. M. Vargas-Magaña} and \textit{P. Panayotaros}, Wave Motion 65, 156--174 (2016; Zbl 07209816) Full Text: DOI
Morales-Hernández, M.; Petaccia, G.; Brufau, P.; García-Navarro, P. Conservative 1D-2D coupled numerical strategies applied to river flooding: the Tiber (Rome). (English) Zbl 1452.76126 Appl. Math. Modelling 40, No. 3, 2087-2105 (2016). MSC: 76M12 76B15 86A05 PDF BibTeX XML Cite \textit{M. Morales-Hernández} et al., Appl. Math. Modelling 40, No. 3, 2087--2105 (2016; Zbl 1452.76126) Full Text: DOI
Wang, Ying The existence of global weak solutions to the shallow water wave model with moderate amplitude. (English) Zbl 1438.35376 Cogent Math. 3, Article ID 1155829, 15 p. (2016). MSC: 35Q53 35D30 35G25 35Q35 76B15 PDF BibTeX XML Cite \textit{Y. Wang}, Cogent Math. 3, Article ID 1155829, 15 p. (2016; Zbl 1438.35376) Full Text: DOI
D’yakonova, Tat’yana Andreevna; Khrapov, Sergeĭ Sergeevich; Khoperskov, Aleksandr Valentinovich The problem of boundary conditions for the shallow water equations. (Russian. English summary) Zbl 1364.76045 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 26, No. 3, 401-417 (2016). MSC: 76D27 PDF BibTeX XML Cite \textit{T. A. D'yakonova} et al., Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 26, No. 3, 401--417 (2016; Zbl 1364.76045) Full Text: DOI MNR
Alkahtani, B. S. T.; Atangana, A. Controlling the wave movement on the surface of shallow water with the Caputo-Fabrizio derivative with fractional order. (English) Zbl 1360.35164 Chaos Solitons Fractals 89, 539-546 (2016). MSC: 35Q35 35Q53 35R11 35A01 35A02 PDF BibTeX XML Cite \textit{B. S. T. Alkahtani} and \textit{A. Atangana}, Chaos Solitons Fractals 89, 539--546 (2016; Zbl 1360.35164) Full Text: DOI
Adou, J. K.; Sitionon, G.; Coulibaly, A. Numerical study of the flow in a channel located close to a punctual singular vortex. (English) Zbl 1381.76150 Adv. Appl. Fluid Mech. 19, No. 2, 415-426 (2016). MSC: 76M10 65M60 76B15 76B47 86A05 PDF BibTeX XML Cite \textit{J. K. Adou} et al., Adv. Appl. Fluid Mech. 19, No. 2, 415--426 (2016; Zbl 1381.76150) Full Text: DOI Link
Peixoto, Pedro S. Accuracy analysis of mimetic finite volume operators on geodesic grids and a consistent alternative. (English) Zbl 1349.76376 J. Comput. Phys. 310, 127-160 (2016). MSC: 76M12 86-08 65M08 76B15 86A05 86A10 PDF BibTeX XML Cite \textit{P. S. Peixoto}, J. Comput. Phys. 310, 127--160 (2016; Zbl 1349.76376) Full Text: DOI
Guo, Yunxi; Wu, Yonghong; Lai, Shaoyong On weak solutions to a shallow water wave model of moderate amplitude. (English) Zbl 1351.35137 Appl. Anal. 95, No. 8, 1808-1829 (2016). MSC: 35Q35 35D30 35G25 35L05 76D03 76D33 74K10 PDF BibTeX XML Cite \textit{Y. Guo} et al., Appl. Anal. 95, No. 8, 1808--1829 (2016; Zbl 1351.35137) Full Text: DOI
Beck, Joakim; Guillas, Serge Sequential design with mutual information for computer experiments (MICE): emulation of a tsunami model. (English) Zbl 1349.62364 SIAM/ASA J. Uncertain. Quantif. 4, 739-766 (2016). MSC: 62L05 62K99 62M20 86A05 86A15 65Y20 PDF BibTeX XML Cite \textit{J. Beck} and \textit{S. Guillas}, SIAM/ASA J. Uncertain. Quantif. 4, 739--766 (2016; Zbl 1349.62364) Full Text: DOI
Renaud, A.; Venaille, A.; Bouchet, F. Equilibrium statistical mechanics and energy partition for the shallow water model. (English) Zbl 1342.82007 J. Stat. Phys. 163, No. 4, 784-843 (2016). MSC: 82B05 82B31 60F10 76B15 76F55 86A05 PDF BibTeX XML Cite \textit{A. Renaud} et al., J. Stat. Phys. 163, No. 4, 784--843 (2016; Zbl 1342.82007) Full Text: DOI
Lozovskiy, Alexander; Farthing, Matthew; Kees, Chris; Gildin, Eduardo POD-based model reduction for stabilized finite element approximations of shallow water flows. (English) Zbl 1381.76189 J. Comput. Appl. Math. 302, 50-70 (2016). MSC: 76M10 65M60 76D05 PDF BibTeX XML Cite \textit{A. Lozovskiy} et al., J. Comput. Appl. Math. 302, 50--70 (2016; Zbl 1381.76189) Full Text: DOI
White, Robert E. Computational mathematics. Models, methods, and analysis with MATLAB and MPI. 2nd edition. (English) Zbl 1336.65002 Textbooks in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-3515-9/hbk; 978-1-4822-3517-3/ebook). xxii, 476 p. (2016). Reviewer: Liu Xinguo (Qingdao) MSC: 65-01 65Fxx 65Y05 65Y15 35K05 35J05 35L05 65M06 65N06 76M20 65D18 94A08 91G60 68W30 92D30 76B15 PDF BibTeX XML Cite \textit{R. E. White}, Computational mathematics. Models, methods, and analysis with MATLAB and MPI. 2nd edition. Boca Raton, FL: CRC Press (2016; Zbl 1336.65002)
Lindgren, Georg Horseshoe-like patterns in first-order 3D random Gauss-Lagrange waves with directional spreading. (English) Zbl 1397.76016 Waves Random Complex Media 25, No. 4, 729-745 (2015). MSC: 76B15 PDF BibTeX XML Cite \textit{G. Lindgren}, Waves Random Complex Media 25, No. 4, 729--745 (2015; Zbl 1397.76016) Full Text: DOI
Li, Gang; Caleffi, Valerio; Qi, Zhengkun A well-balanced finite difference WENO scheme for shallow water flow model. (English) Zbl 1410.76296 Appl. Math. Comput. 265, 1-16 (2015). MSC: 76M20 65M06 76B15 PDF BibTeX XML Cite \textit{G. Li} et al., Appl. Math. Comput. 265, 1--16 (2015; Zbl 1410.76296) Full Text: DOI
Mazzolari, Andrea; Trigo-Teixeira, António; Araújo, Maria Amélia V. C. Evaluation of different meshing criteria for areas exposed to flooding. (English) Zbl 1390.76339 Comput. Fluids 121, 81-91 (2015). MSC: 76M10 65M60 86-08 86A05 PDF BibTeX XML Cite \textit{A. Mazzolari} et al., Comput. Fluids 121, 81--91 (2015; Zbl 1390.76339) Full Text: DOI
Yang, Yin; Robinson, Cordelia; Heitz, Dominique; Mémin, Etienne Enhanced ensemble-based 4DVar scheme for data assimilation. (English) Zbl 06893440 Comput. Fluids 115, 201-210 (2015). MSC: 62-07 65C60 76B15 PDF BibTeX XML Cite \textit{Y. Yang} et al., Comput. Fluids 115, 201--210 (2015; Zbl 06893440) Full Text: DOI
La Rocca, Michele; Montessori, Andrea; Prestininzi, Pietro; Succi, Sauro A multispeed discrete Boltzmann model for transcritical 2D shallow water flows. (English) Zbl 1351.76239 J. Comput. Phys. 284, 117-132 (2015). MSC: 76M28 76B15 65M75 PDF BibTeX XML Cite \textit{M. La Rocca} et al., J. Comput. Phys. 284, 117--132 (2015; Zbl 1351.76239) Full Text: DOI
Lannes, D.; Marche, F. A new class of fully nonlinear and weakly dispersive Green-Naghdi models for efficient 2D simulations. (English) Zbl 1351.76114 J. Comput. Phys. 282, 238-268 (2015). MSC: 76M12 76M20 65M08 65M06 86A05 PDF BibTeX XML Cite \textit{D. Lannes} and \textit{F. Marche}, J. Comput. Phys. 282, 238--268 (2015; Zbl 1351.76114) Full Text: DOI
Payakkarak, Somsiri; Sukawat, Dusadee; Humphries, Usa Regional weather downscaling using ensemble Kalman filter with singular vector. (English) Zbl 1331.86006 Far East J. Math. Sci. (FJMS) 97, No. 3, 347-376 (2015). MSC: 86-08 86A10 PDF BibTeX XML Cite \textit{S. Payakkarak} et al., Far East J. Math. Sci. (FJMS) 97, No. 3, 347--376 (2015; Zbl 1331.86006) Full Text: DOI Link
Berthon, Christophe; Foucher, Françoise; Morales, Tomás An efficient splitting technique for two-layer shallow-water model. (English) Zbl 1338.76073 Numer. Methods Partial Differ. Equations 31, No. 5, 1396-1423 (2015). MSC: 76M12 65M08 76B15 PDF BibTeX XML Cite \textit{C. Berthon} et al., Numer. Methods Partial Differ. Equations 31, No. 5, 1396--1423 (2015; Zbl 1338.76073) Full Text: DOI
Lott, P. Aaron; Woodward, Carol S.; Evans, Katherine J. Algorithmically scalable block preconditioner for fully implicit shallow-water equations in CAM-SE. (English) Zbl 1330.86007 Comput. Geosci. 19, No. 1, 49-61 (2015). MSC: 86A10 86-08 65F08 76B15 35Q35 76M25 PDF BibTeX XML Cite \textit{P. A. Lott} et al., Comput. Geosci. 19, No. 1, 49--61 (2015; Zbl 1330.86007) Full Text: DOI
Luo, Zhendong; Gao, Junqiang; Xie, Zhenghui Reduced-order finite difference extrapolation model based on proper orthogonal decomposition for two-dimensional shallow water equations including sediment concentration. (English) Zbl 1318.35083 J. Math. Anal. Appl. 429, No. 2, 901-923 (2015). MSC: 35Q35 76B15 35B45 65M06 65M15 PDF BibTeX XML Cite \textit{Z. Luo} et al., J. Math. Anal. Appl. 429, No. 2, 901--923 (2015; Zbl 1318.35083) Full Text: DOI
Chen, Chungang; Li, Xingliang; Shen, Xueshun; Xiao, Feng Global shallow water models based on multi-moment constrained finite volume method and three quasi-uniform spherical grids. (English) Zbl 1349.76316 J. Comput. Phys. 271, 191-223 (2014). MSC: 76M12 86-08 65M08 86A05 86A10 PDF BibTeX XML Cite \textit{C. Chen} et al., J. Comput. Phys. 271, 191--223 (2014; Zbl 1349.76316) Full Text: DOI
Zhou, Jian Guo Lattice Boltzmann morphodynamic model. (English) Zbl 1349.86030 J. Comput. Phys. 270, 255-264 (2014). MSC: 86A05 76M28 76T20 82C80 82C20 PDF BibTeX XML Cite \textit{J. G. Zhou}, J. Comput. Phys. 270, 255--264 (2014; Zbl 1349.86030) Full Text: DOI
Bernabeu, Noé; Saramito, Pierre; Smutek, Claude Numerical modeling of non-Newtonian viscoplastic flows. II: Viscoplastic fluids and general tridimensional topographies. (English) Zbl 1310.35194 Int. J. Numer. Anal. Model. 11, No. 1, 213-228 (2014). MSC: 35Q35 65M50 65M60 76A05 PDF BibTeX XML Cite \textit{N. Bernabeu} et al., Int. J. Numer. Anal. Model. 11, No. 1, 213--228 (2014; Zbl 1310.35194) Full Text: Link
Abbasov, I. B. Three-dimensional simulation of the runup of nonlinear surface gravity waves. (Russian, English) Zbl 1313.76010 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 5, 871- 886 (2014); translation in Comput. Math. Math. Phys. 54, No. 5, 900-574 (2014). MSC: 76B15 76D05 PDF BibTeX XML Cite \textit{I. B. Abbasov}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 5, 871- 886 (2014; Zbl 1313.76010); translation in Comput. Math. Math. Phys. 54, No. 5, 900--574 (2014) Full Text: DOI Link
Istomina, M. A.; Yushkov, E. V. Roll waves in an annular channel. (Russian, English) Zbl 1313.35243 Zh. Vychisl. Mat. Mat. Fiz. 54, No. 1, 114-125 (2014); translation in Comput. Math. Math. Phys. 54, No. 1, 123-134 (2014). MSC: 35Q30 76B15 PDF BibTeX XML Cite \textit{M. A. Istomina} and \textit{E. V. Yushkov}, Zh. Vychisl. Mat. Mat. Fiz. 54, No. 1, 114--125 (2014; Zbl 1313.35243); translation in Comput. Math. Math. Phys. 54, No. 1, 123--134 (2014) Full Text: DOI Link
Meixner, Jessica; Dietrich, J. Casey; Dawson, Clint; Zijlema, Marcel; Holthuijsen, Leo H. A discontinuous Galerkin coupled wave propagation/circulation model. (English) Zbl 1299.76146 J. Sci. Comput. 59, No. 2, 334-370 (2014). MSC: 76M10 PDF BibTeX XML Cite \textit{J. Meixner} et al., J. Sci. Comput. 59, No. 2, 334--370 (2014; Zbl 1299.76146) Full Text: DOI
Parisot, Martin; Vila, Jean-Paul Numerical scheme for multilayer shallow-water model in the low-Froude number regime. (Schéma numérique pour les modèles de Saint-Venant multi-couche à faible nombre de Froude.) (English. French summary) Zbl 1302.76133 C. R., Math., Acad. Sci. Paris 352, No. 11, 953-957 (2014). MSC: 76M20 65M06 65M12 76B15 PDF BibTeX XML Cite \textit{M. Parisot} and \textit{J.-P. Vila}, C. R., Math., Acad. Sci. Paris 352, No. 11, 953--957 (2014; Zbl 1302.76133) Full Text: DOI
Clancy, Colm; Pudykiewicz, Janusz A. A class of semi-implicit predictor-corrector schemes for the time integration of atmospheric models. (English) Zbl 1349.65205 J. Comput. Phys. 250, 665-684 (2013). MSC: 65L04 65L20 86A10 PDF BibTeX XML Cite \textit{C. Clancy} and \textit{J. A. Pudykiewicz}, J. Comput. Phys. 250, 665--684 (2013; Zbl 1349.65205) Full Text: DOI
Saramito, Pierre; Smutek, Claude; Cordonnier, Benoît Numerical modeling of shallow non-Newtonian flows. I: The 1D horizontal dam break problem revisited. (English) Zbl 1302.35324 Int. J. Numer. Anal. Model., Ser. B 4, No. 3, 283-298 (2013). MSC: 35Q35 65M60 76A05 76M10 PDF BibTeX XML Cite \textit{P. Saramito} et al., Int. J. Numer. Anal. Model., Ser. B 4, No. 3, 283--298 (2013; Zbl 1302.35324) Full Text: Link
Morales-Hernández, M.; García-Navarro, P.; Burguete, J.; Brufau, P. A conservative strategy to couple 1D and 2D models for shallow water flow simulation. (English) Zbl 1285.76024 Comput. Fluids 81, 26-44 (2013). MSC: 76M12 65M08 76B15 PDF BibTeX XML Cite \textit{M. Morales-Hernández} et al., Comput. Fluids 81, 26--44 (2013; Zbl 1285.76024) Full Text: DOI
Kwon, Bongsuk; Suzuki, Masahiro; Takayama, Masahiro Large-time behavior of solutions to an outflow problem for a shallow water model. (English) Zbl 1283.35087 J. Differ. Equations 255, No. 7, 1883-1904 (2013). MSC: 35Q35 35B40 35B35 35B45 76B15 PDF BibTeX XML Cite \textit{B. Kwon} et al., J. Differ. Equations 255, No. 7, 1883--1904 (2013; Zbl 1283.35087) Full Text: DOI
Fernández-Nieto, E. D.; Narbona-Reina, G.; Zabsonré, J. D. Formal derivation of a bilayer model coupling shallow water and Reynolds lubrication equations: evolution of a thin pollutant layer over water. (English) Zbl 1291.74133 Eur. J. Appl. Math. 24, No. 6, 803-833 (2013). MSC: 74K35 PDF BibTeX XML Cite \textit{E. D. Fernández-Nieto} et al., Eur. J. Appl. Math. 24, No. 6, 803--833 (2013; Zbl 1291.74133) Full Text: DOI
Bouchut, François; Boyaval, Sébastien A new model for shallow viscoelastic fluids. (English) Zbl 1383.76031 Math. Models Methods Appl. Sci. 23, No. 8, 1479-1526 (2013). MSC: 76A20 76A05 76M12 65M08 PDF BibTeX XML Cite \textit{F. Bouchut} and \textit{S. Boyaval}, Math. Models Methods Appl. Sci. 23, No. 8, 1479--1526 (2013; Zbl 1383.76031) Full Text: DOI arXiv
Zhang, Jinhua One-soliton and two-soliton solutions of the first model equation for shallow water waves. (Chinese. English summary) Zbl 1289.35044 J. Southwest Univ. Natl., Nat. Sci. 38, No. 1, 5-10 (2012). MSC: 35C08 35Q35 76B15 PDF BibTeX XML Cite \textit{J. Zhang}, J. Southwest Univ. Natl., Nat. Sci. 38, No. 1, 5--10 (2012; Zbl 1289.35044) Full Text: DOI
Matishov, G. G.; Chikin, A. L. An approach to modeling wind currents in Kerch strait. (Russian, English) Zbl 1274.86007 Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 3, 342-345 (2012); translation in Dokl. Earth Sci. 445, Part 1, 920-923 (2012). Reviewer: Andrei Zemskov (Moskva) MSC: 86A05 76B15 PDF BibTeX XML Cite \textit{G. G. Matishov} and \textit{A. L. Chikin}, Dokl. Akad. Nauk, Ross. Akad. Nauk 445, No. 3, 342--345 (2012; Zbl 1274.86007); translation in Dokl. Earth Sci. 445, Part 1, 920--923 (2012) Full Text: DOI Link
Shokina, N. Yu. To the problem of construction of difference schemes on movable grids. (English) Zbl 1264.65142 Russ. J. Numer. Anal. Math. Model. 27, No. 6, 603-626 (2012). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M06 35L02 76B15 76M20 65M50 PDF BibTeX XML Cite \textit{N. Yu. Shokina}, Russ. J. Numer. Anal. Math. Model. 27, No. 6, 603--626 (2012; Zbl 1264.65142) Full Text: DOI
Chen, Haibo; Miao, Chunbao; Lv, Xianqing A three-dimensional numerical internal tidal model involving adjoint method. (English) Zbl 1253.86001 Int. J. Numer. Methods Fluids 69, No. 10, 1584-1613 (2012). MSC: 86-08 65M06 86A05 76B15 PDF BibTeX XML Cite \textit{H. Chen} et al., Int. J. Numer. Methods Fluids 69, No. 10, 1584--1613 (2012; Zbl 1253.86001) Full Text: DOI
Kongead, B.; Sukawat, D. Singular vector ensemble forecast of tropical cyclone track with asymmetric bogus wind. (English) Zbl 1247.86004 Far East J. Appl. Math. 63, No. 2, 121-144 (2012). MSC: 86-08 PDF BibTeX XML Cite \textit{B. Kongead} and \textit{D. Sukawat}, Far East J. Appl. Math. 63, No. 2, 121--144 (2012; Zbl 1247.86004) Full Text: Link
Zhang, Jinhua; Li, Wei; Ding, Yumin One-soliton and two-soliton solutions of the third model equation for shallow water waves. (English) Zbl 1247.76021 Int. J. Contemp. Math. Sci. 7, No. 1-4, 187-196 (2012). MSC: 76B15 35Q53 35C08 35Q51 PDF BibTeX XML Cite \textit{J. Zhang} et al., Int. J. Contemp. Math. Sci. 7, No. 1--4, 187--196 (2012; Zbl 1247.76021) Full Text: Link
Kazantsev, Eugene Sensitivity of a shallow-water model to parameters. (English) Zbl 1239.76016 Nonlinear Anal., Real World Appl. 13, No. 3, 1416-1428 (2012). MSC: 76B15 35Q35 PDF BibTeX XML Cite \textit{E. Kazantsev}, Nonlinear Anal., Real World Appl. 13, No. 3, 1416--1428 (2012; Zbl 1239.76016) Full Text: DOI
Chung, Hau-Rong; Hsieh, Te-Yung; Yang, Jinn-Chuang Two dimensional shallow-water flow model with immersed boundary method. (English) Zbl 1271.76240 Comput. Fluids 51, No. 1, 145-156 (2011). MSC: 76M25 76M20 76B10 PDF BibTeX XML Cite \textit{H.-R. Chung} et al., Comput. Fluids 51, No. 1, 145--156 (2011; Zbl 1271.76240) Full Text: DOI Link
Peng, Y.; Zhou, J. G.; Burrows, R. Modelling solute transport in shallow water with the lattice Boltzmann method. (English) Zbl 1271.76270 Comput. Fluids 50, No. 1, 181-188 (2011). MSC: 76M28 76R50 76B10 PDF BibTeX XML Cite \textit{Y. Peng} et al., Comput. Fluids 50, No. 1, 181--188 (2011; Zbl 1271.76270) Full Text: DOI Link
Tanaka, S.; Bunya, S.; Westerink, J. J.; Dawson, C.; Luettich, R. A. jun. Scalability of an unstructured grid continuous Galerkin based hurricane storm surge model. (English) Zbl 1270.76038 J. Sci. Comput. 46, No. 3, 329-358 (2011). MSC: 76M10 76B15 76U05 86A05 PDF BibTeX XML Cite \textit{S. Tanaka} et al., J. Sci. Comput. 46, No. 3, 329--358 (2011; Zbl 1270.76038) Full Text: DOI
Benkhaldoun, Fayssal; Seaid, Mohammed; Sahmim, Slah Mathematical development and verification of a finite volume model for morphodynamic flow applications. (English) Zbl 1262.65110 Adv. Appl. Math. Mech. 3, No. 4, 470-492 (2011). MSC: 65M08 76B15 76M12 PDF BibTeX XML Cite \textit{F. Benkhaldoun} et al., Adv. Appl. Math. Mech. 3, No. 4, 470--492 (2011; Zbl 1262.65110) Full Text: DOI
Wang, Ning; Lee, Jin-Luen Geometric properties of the icosahedral-hexagonal grid on the two-sphere. (English) Zbl 1232.65131 SIAM J. Sci. Comput. 33, No. 5, 2536-2559 (2011). MSC: 65M50 65N50 65M60 PDF BibTeX XML Cite \textit{N. Wang} and \textit{J.-L. Lee}, SIAM J. Sci. Comput. 33, No. 5, 2536--2559 (2011; Zbl 1232.65131) Full Text: DOI
LeFloch, Philippe G.; Thanh, Mai Duc A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime. (English) Zbl 05992825 J. Comput. Phys. 230, No. 20, 7631-7660 (2011). MSC: 35Q35 35L65 35A01 35A02 76M12 PDF BibTeX XML Cite \textit{P. G. LeFloch} and \textit{M. D. Thanh}, J. Comput. Phys. 230, No. 20, 7631--7660 (2011; Zbl 05992825) Full Text: DOI arXiv
Dumbser, Michael; Toro, Eleuterio F. A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems. (English) Zbl 1220.65110 J. Sci. Comput. 48, No. 1-3, 70-88 (2011). MSC: 65M06 PDF BibTeX XML Cite \textit{M. Dumbser} and \textit{E. F. Toro}, J. Sci. Comput. 48, No. 1--3, 70--88 (2011; Zbl 1220.65110) Full Text: DOI
Lee, Wei-Koon; Borthwick, Alistair G. L.; Taylor, Paul H. A fast adaptive quadtree scheme for a two-layer shallow water model. (English) Zbl 1416.76183 J. Comput. Phys. 230, No. 12, 4848-4870 (2011). MSC: 76M20 76B15 65M06 PDF BibTeX XML Cite \textit{W.-K. Lee} et al., J. Comput. Phys. 230, No. 12, 4848--4870 (2011; Zbl 1416.76183) Full Text: DOI
Arfaoui, Hassen; Ben Belgacem, Faker; El Fekih, Henda; Raymond, Jean-Pierre Boundary stabilizability of the linearized viscous Saint-Venant system. (English) Zbl 1382.35205 Discrete Contin. Dyn. Syst., Ser. B 15, No. 3, 491-511 (2011). MSC: 35Q35 93C20 76B75 93D15 93D20 PDF BibTeX XML Cite \textit{H. Arfaoui} et al., Discrete Contin. Dyn. Syst., Ser. B 15, No. 3, 491--511 (2011; Zbl 1382.35205) Full Text: DOI
Bourdarias, Christian; Ngom, Timack; Gisclon, Marguerite Derivation and numerical study of a new viscous shallow water bifluid model. (English) Zbl 1217.35133 Int. J. Pure Appl. Math. 68, No. 3, 265-281 (2011). MSC: 35Q30 35Q35 65N08 76D05 76D50 76M12 PDF BibTeX XML Cite \textit{C. Bourdarias} et al., Int. J. Pure Appl. Math. 68, No. 3, 265--281 (2011; Zbl 1217.35133) Full Text: Link
Yang, Chao; Cai, Xiao-Chuan Newton-Krylov-Schwarz method for a spherical shallow water model. (English) Zbl 1430.76408 Huang, Yunqing (ed.) et al., Domain decomposition methods in science and engineering XIX. Selected papers based on the presentations at the 19th international conference on domain decoposition (DD19), Zhanjiajie, China, August 17–22, 2009. Berlin: Springer. Lect. Notes Comput. Sci. Eng. 78, 149-155 (2011). MSC: 76M99 35Q35 65M55 76M12 PDF BibTeX XML Cite \textit{C. Yang} and \textit{X.-C. Cai}, Lect. Notes Comput. Sci. Eng. 78, 149--155 (2011; Zbl 1430.76408) Full Text: DOI
Kazantsev, Eugene Optimal boundary discretization by variational data assimilation. (English) Zbl 05868808 Int. J. Numer. Methods Fluids 65, No. 10, 1231-1259 (2011). MSC: 76M99 76B15 PDF BibTeX XML Cite \textit{E. Kazantsev}, Int. J. Numer. Methods Fluids 65, No. 10, 1231--1259 (2011; Zbl 05868808) Full Text: DOI
Bonneton, P.; Chazel, F.; Lannes, D.; Marche, F.; Tissier, M. A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model. (English) Zbl 1391.76066 J. Comput. Phys. 230, No. 4, 1479-1498 (2011). MSC: 76B15 76M12 PDF BibTeX XML Cite \textit{P. Bonneton} et al., J. Comput. Phys. 230, No. 4, 1479--1498 (2011; Zbl 1391.76066) Full Text: DOI arXiv
Duan, Qin On the dynamics of Navier-Stokes equations for a shallow water model. (English) Zbl 1215.35172 J. Differ. Equations 250, No. 6, 2687-2714 (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35R35 35Q30 76B15 76N10 35B35 35B40 PDF BibTeX XML Cite \textit{Q. Duan}, J. Differ. Equations 250, No. 6, 2687--2714 (2011; Zbl 1215.35172) Full Text: DOI
Zhou, Jian Guo Enhancement of the LABSWE for shallow water flows. (English) Zbl 1428.86009 J. Comput. Phys. 230, No. 2, 394-401 (2011). MSC: 86A05 76M28 35Q35 PDF BibTeX XML Cite \textit{J. G. Zhou}, J. Comput. Phys. 230, No. 2, 394--401 (2011; Zbl 1428.86009) Full Text: DOI
Kuiry, Soumendra Nath; Ding, Yan; Wang, Sam S. Y. Modelling coastal barrier breaching flows with well-balanced shock-capturing technique. (English) Zbl 1245.76010 Comput. Fluids 39, No. 10, 2051-2068 (2010). MSC: 76B15 76M12 86A05 PDF BibTeX XML Cite \textit{S. N. Kuiry} et al., Comput. Fluids 39, No. 10, 2051--2068 (2010; Zbl 1245.76010) Full Text: DOI