Desveaux, Vivien; Masset, Alice A fully well-balanced scheme for shallow water equations with Coriolis force. (English) Zbl 1499.65458 Commun. Math. Sci. 20, No. 7, 1875-1900 (2022). MSC: 65M08 65M12 PDFBibTeX XMLCite \textit{V. Desveaux} and \textit{A. Masset}, Commun. Math. Sci. 20, No. 7, 1875--1900 (2022; Zbl 1499.65458) Full Text: DOI arXiv
Ghoshal, Shyam Sundar; Towers, John D.; Vaidya, Ganesh Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov-type fluxes. (English) Zbl 1505.35268 J. Hyperbolic Differ. Equ. 19, No. 2, 365-390 (2022). Reviewer: Evgeniy Panov (Veliky Novgorod) MSC: 35L65 35A35 35L03 65M08 PDFBibTeX XMLCite \textit{S. S. Ghoshal} et al., J. Hyperbolic Differ. Equ. 19, No. 2, 365--390 (2022; Zbl 1505.35268) Full Text: DOI arXiv
Chen, Shu-sheng; Li, Jin-ping; Li, Zheng; Yuan, Wu; Gao, Zheng-hong Anti-dissipation pressure correction under low Mach numbers for Godunov-type schemes. (English) Zbl 07518105 J. Comput. Phys. 456, Article ID 111027, 22 p. (2022). MSC: 76Mxx 65Mxx 76Nxx PDFBibTeX XMLCite \textit{S.-s. Chen} et al., J. Comput. Phys. 456, Article ID 111027, 22 p. (2022; Zbl 07518105) Full Text: DOI
Peluchon, S.; Gallice, G.; Mieussens, L. Development of numerical methods to simulate the melting of a thermal protection system. (English) Zbl 07516829 J. Comput. Phys. 448, Article ID 110753, 33 p. (2022). MSC: 76Mxx 65Mxx 76Nxx PDFBibTeX XMLCite \textit{S. Peluchon} et al., J. Comput. Phys. 448, Article ID 110753, 33 p. (2022; Zbl 07516829) Full Text: DOI
Garg, Naveen Kumar; Gowda, G. D. Veerappa Godunov-type schemes for the pressureless gas dynamics and related models. (English) Zbl 1510.76100 Appl. Math. Comput. 418, Article ID 126790, 14 p. (2022). MSC: 76M12 15A21 35L65 65M08 76N15 PDFBibTeX XMLCite \textit{N. K. Garg} and \textit{G. D. V. Gowda}, Appl. Math. Comput. 418, Article ID 126790, 14 p. (2022; Zbl 1510.76100) Full Text: DOI
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise A two-dimensional high-order well-balanced scheme for the shallow water equations with topography and Manning friction. (English) Zbl 1521.76454 Comput. Fluids 230, Article ID 105152, 21 p. (2021). MSC: 76M12 65M08 65M12 76B15 PDFBibTeX XMLCite \textit{V. Michel-Dansac} et al., Comput. Fluids 230, Article ID 105152, 21 p. (2021; Zbl 1521.76454) Full Text: DOI arXiv HAL
Xie, Wenjia; Tian, Zhengyu; Zhang, Ye; Yu, Hang; Ren, Weijie Further studies on numerical instabilities of Godunov-type schemes for strong shocks. (English) Zbl 1524.76205 Comput. Math. Appl. 102, 65-86 (2021). MSC: 76L05 76M12 65M06 76M20 76N15 65M12 PDFBibTeX XMLCite \textit{W. Xie} et al., Comput. Math. Appl. 102, 65--86 (2021; Zbl 1524.76205) Full Text: DOI arXiv
Berthon, Christophe; M’baye, Meissa; Le, Minh; Seck, Diaraf A well-defined moving steady states capturing Godunov-type scheme for shallow-water model. (English) Zbl 1490.76142 Int. J. Finite Vol. 15, Article ID hal-031929541, 33 p. (2020). MSC: 76M12 65M08 35L65 76B15 PDFBibTeX XMLCite \textit{C. Berthon} et al., Int. J. Finite Vol. 15, Article ID hal-031929541, 33 p. (2020; Zbl 1490.76142) Full Text: HAL
Chertock, Alina; Kurganov, Alexander; Miller, Jason; Yan, Jun Central-upwind scheme for a non-hydrostatic Saint-Venant system. (English) Zbl 1460.65105 Bressan, Alberto (ed.) et al., Hyperbolic problems: theory, numerics, applications. Proceedings of the 17th international conference, HYP2018, Pennsylvania State University, University Park, PA, USA, June 25–29, 2018. Springfield, MO: American Institute of Mathematical Sciences (AIMS). AIMS Ser. Appl. Math. 10, 25-41 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 76M12 76B15 86-08 86A15 35L55 35L65 35L75 35Q35 PDFBibTeX XMLCite \textit{A. Chertock} et al., AIMS Ser. Appl. Math. 10, 25--41 (2020; Zbl 1460.65105)
Saleh, Khaled A relaxation scheme for a hyperbolic multiphase flow model. I: Barotropic EOS. (English) Zbl 1425.76288 ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1763-1795 (2019). MSC: 76T30 76T10 76M12 65M08 35L60 35Q35 35F55 PDFBibTeX XMLCite \textit{K. Saleh}, ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1763--1795 (2019; Zbl 1425.76288) Full Text: DOI arXiv
Berthon, Christophe; Duran, Arnaud; Foucher, Françoise; Saleh, Khaled; Zabsonré, Jean De Dieu Improvement of the hydrostatic reconstruction scheme to get fully discrete entropy inequalities. (English) Zbl 1418.65156 J. Sci. Comput. 80, No. 2, 924-956 (2019). MSC: 65N08 35L65 35L67 PDFBibTeX XMLCite \textit{C. Berthon} et al., J. Sci. Comput. 80, No. 2, 924--956 (2019; Zbl 1418.65156) Full Text: DOI HAL
Kostushin, K. V.; Shuvarikov, V. A. Comparison of the MUSCL-type schemes for a gas flow calculation in de laval nozzles. (Russian. English summary) Zbl 1506.76153 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2018, No. 54, 79-87 (2018). MSC: 76N15 PDFBibTeX XMLCite \textit{K. V. Kostushin} and \textit{V. A. Shuvarikov}, Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2018, No. 54, 79--87 (2018; Zbl 1506.76153) Full Text: DOI MNR
Guisset, Sébastien; Brull, Stéphane; Dubroca, Bruno; Turpault, Rodolphe An admissible asymptotic-preserving numerical scheme for the electronic \(M_1\) model in the diffusive limit. (English) Zbl 1475.82025 Commun. Comput. Phys. 24, No. 5, 1326-1354 (2018). MSC: 82M12 82D10 65M08 PDFBibTeX XMLCite \textit{S. Guisset} et al., Commun. Comput. Phys. 24, No. 5, 1326--1354 (2018; Zbl 1475.82025) Full Text: DOI
Berthon, Christophe; Michel-Dansac, Victor A simple fully well-balanced and entropy preserving scheme for the shallow-water equations. (English) Zbl 1410.65338 Appl. Math. Lett. 86, 284-290 (2018). MSC: 65M08 65M12 35Q35 76B15 PDFBibTeX XMLCite \textit{C. Berthon} and \textit{V. Michel-Dansac}, Appl. Math. Lett. 86, 284--290 (2018; Zbl 1410.65338) Full Text: DOI HAL
Berthon, Christophe; Loubère, Raphaël; Michel-Dansac, Victor A second-order well-balanced scheme for the shallow water equations with topography. (English) Zbl 1405.76032 Klingenberg, Christian (ed.) et al., Theory, numerics and applications of hyperbolic problems I, Aachen, Germany, August 2016. Cham: Springer (ISBN 978-3-319-91544-9/hbk; 978-3-319-91545-6/ebook). Springer Proceedings in Mathematics & Statistics 236, 165-177 (2018). MSC: 76M20 35Q35 76B15 65M06 86A05 PDFBibTeX XMLCite \textit{C. Berthon} et al., Springer Proc. Math. Stat. 236, 165--177 (2018; Zbl 1405.76032) Full Text: DOI HAL
Koldoba, A. V.; Ustyugova, G. V.; Bogovalov, S. V. Modelling of interaction of relativistic and non-relativistic flows on adaptive grids. (Russian) Zbl 1413.85003 Mat. Model. 30, No. 6, 3-20 (2018). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 85A05 85A15 85A30 76W05 PDFBibTeX XMLCite \textit{A. V. Koldoba} et al., Mat. Model. 30, No. 6, 3--20 (2018; Zbl 1413.85003) Full Text: Link
Xie, Wenjia; Li, Wei; Li, Hua; Tian, Zhengyu; Pan, Sha On numerical instabilities of Godunov-type schemes for strong shocks. (English) Zbl 1380.76073 J. Comput. Phys. 350, 607-637 (2017). MSC: 76M12 76L05 PDFBibTeX XMLCite \textit{W. Xie} et al., J. Comput. Phys. 350, 607--637 (2017; Zbl 1380.76073) Full Text: DOI
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise A well-balanced scheme for the shallow-water equations with topography or Manning friction. (English) Zbl 1375.35389 J. Comput. Phys. 335, 115-154 (2017). MSC: 35Q35 76M12 PDFBibTeX XMLCite \textit{V. Michel-Dansac} et al., J. Comput. Phys. 335, 115--154 (2017; Zbl 1375.35389) Full Text: DOI HAL
Kurganov, Alexander; Prugger, Martina; Wu, Tong Second-order fully discrete central-upwind scheme for two-dimensional hyperbolic systems of conservation laws. (English) Zbl 1364.76117 SIAM J. Sci. Comput. 39, No. 3, A947-A965 (2017). MSC: 76M12 65M08 35L65 PDFBibTeX XMLCite \textit{A. Kurganov} et al., SIAM J. Sci. Comput. 39, No. 3, A947--A965 (2017; Zbl 1364.76117) Full Text: DOI
Guisset, S.; Brull, S.; Dubroca, B. Approximate Riemann solver for the electronic model without electric field in the diffusive limit. (English) Zbl 07503229 J. Comput. Theor. Transp. 45, No. 6, 459-470 (2016). MSC: 82-XX PDFBibTeX XMLCite \textit{S. Guisset} et al., J. Comput. Theor. Transp. 45, No. 6, 459--470 (2016; Zbl 07503229) Full Text: DOI
Michel-Dansac, Victor; Berthon, Christophe; Clain, Stéphane; Foucher, Françoise A well-balanced scheme for the shallow-water equations with topography. (English) Zbl 1359.76206 Comput. Math. Appl. 72, No. 3, 568-593 (2016). MSC: 76M20 65M06 65M25 76B15 PDFBibTeX XMLCite \textit{V. Michel-Dansac} et al., Comput. Math. Appl. 72, No. 3, 568--593 (2016; Zbl 1359.76206) Full Text: DOI
Vilar, François; Shu, Chi-Wang; Maire, Pierre-Henri Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. II: The two-dimensional case. (English) Zbl 1351.76128 J. Comput. Phys. 312, 416-442 (2016). MSC: 76M12 65M08 76N15 PDFBibTeX XMLCite \textit{F. Vilar} et al., J. Comput. Phys. 312, 416--442 (2016; Zbl 1351.76128) Full Text: DOI
Vilar, François; Shu, Chi-Wang; Maire, Pierre-Henri Positivity-preserving cell-centered Lagrangian schemes for multi-material compressible flows: from first-order to high-orders. I: The one-dimensional case. (English) Zbl 1351.76127 J. Comput. Phys. 312, 385-415 (2016). MSC: 76M12 65M08 76N15 PDFBibTeX XMLCite \textit{F. Vilar} et al., J. Comput. Phys. 312, 385--415 (2016; Zbl 1351.76127) Full Text: DOI
Abakumov, M. V.; Popov, Yu. P. Influence of the approximation viscosity on the numerical solution of the problem on the accretion disk in a binary star system. (English. Russian original) Zbl 1352.85001 Differ. Equ. 52, No. 7, 824-835 (2016); translation from Differ. Uravn. 52, No. 2, 866-877 (2016). MSC: 85A15 85-08 85A05 76Y05 PDFBibTeX XMLCite \textit{M. V. Abakumov} and \textit{Yu. P. Popov}, Differ. Equ. 52, No. 7, 824--835 (2016; Zbl 1352.85001); translation from Differ. Uravn. 52, No. 2, 866--877 (2016) Full Text: DOI
Berthon, Christophe; Crestetto, Anaïs; Foucher, Françoise A well-balanced finite volume scheme for a mixed hyperbolic/parabolic system to model chemotaxis. (English) Zbl 1350.65093 J. Sci. Comput. 67, No. 2, 618-643 (2016). Reviewer: Vasilis Dimitriou (Chania) MSC: 65M08 65M12 35L60 35M30 35K55 92E20 PDFBibTeX XMLCite \textit{C. Berthon} et al., J. Sci. Comput. 67, No. 2, 618--643 (2016; Zbl 1350.65093) Full Text: DOI HAL
Moguen, Yann; Delmas, Simon; Perrier, Vincent; Bruel, Pascal; Dick, Erik Godunov-type schemes with an inertia term for unsteady full Mach number range flow calculations. (English) Zbl 1351.76069 J. Comput. Phys. 281, 556-590 (2015). MSC: 76M10 76Nxx 65M25 65M60 PDFBibTeX XMLCite \textit{Y. Moguen} et al., J. Comput. Phys. 281, 556--590 (2015; Zbl 1351.76069) Full Text: DOI Link
Abakumov, M. V. Construction of Godunov-type difference schemes in curvilinear coordinates and an application to spherical coordinates. (English. Russian original) Zbl 1331.76083 Comput. Math. Model. 26, No. 2, 184-203 (2015); translation from Prikl. Mat. Inf. 45, 63-83 (2014). MSC: 76M20 76N15 PDFBibTeX XMLCite \textit{M. V. Abakumov}, Comput. Math. Model. 26, No. 2, 184--203 (2015; Zbl 1331.76083); translation from Prikl. Mat. Inf. 45, 63--83 (2014) Full Text: DOI
Berthon, Christophe; Dubroca, Bruno; Sangam, Afeintou An entropy preserving relaxation scheme for ten-moments equations with source terms. (English) Zbl 1329.76199 Commun. Math. Sci. 13, No. 8, 2119-2154 (2015). MSC: 76M12 65M08 76N15 76X05 65M60 PDFBibTeX XMLCite \textit{C. Berthon} et al., Commun. Math. Sci. 13, No. 8, 2119--2154 (2015; Zbl 1329.76199) Full Text: DOI
Dumbser, Michael Arbitrary-Lagrangian-Eulerian ADER-WENO finite volume schemes with time-accurate local time stepping for hyperbolic conservation laws. (English) Zbl 1423.76296 Comput. Methods Appl. Mech. Eng. 280, 57-83 (2014). MSC: 76M12 65M08 35L65 76M20 65M06 PDFBibTeX XMLCite \textit{M. Dumbser}, Comput. Methods Appl. Mech. Eng. 280, 57--83 (2014; Zbl 1423.76296) Full Text: DOI arXiv
Abakumov, M. V. Method for the construction of Godunov-type difference schemes in curvilinear coordinates and its application to cylindrical coordinates. (English. Russian original) Zbl 1294.35084 Comput. Math. Model. 25, No. 3, 315-333 (2014); translation from Prikl. Mat. Inf. 43, 25-44 (2013). MSC: 35Q35 76N99 65M06 PDFBibTeX XMLCite \textit{M. V. Abakumov}, Comput. Math. Model. 25, No. 3, 315--333 (2014; Zbl 1294.35084); translation from Prikl. Mat. Inf. 43, 25--44 (2013) Full Text: DOI
Kurganov, Alexander; Miller, Jason Central-upwind scheme for Savage-Hutter type model of submarine landslides and generated tsunami waves. (English) Zbl 1302.76115 Comput. Methods Appl. Math. 14, No. 2, 177-201 (2014). MSC: 76M12 65M08 86-08 86A05 35L65 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{J. Miller}, Comput. Methods Appl. Math. 14, No. 2, 177--201 (2014; Zbl 1302.76115) Full Text: DOI
Dumbser, Michael; Iben, Uwe; Munz, Claus-Dieter Efficient implementation of high order unstructured WENO schemes for cavitating flows. (English) Zbl 1290.76098 Comput. Fluids 86, 141-168 (2013). MSC: 76M20 65M06 76M12 76B10 PDFBibTeX XMLCite \textit{M. Dumbser} et al., Comput. Fluids 86, 141--168 (2013; Zbl 1290.76098) Full Text: DOI
Berthon, C.; Chalons, C.; Turpault, R. Asymptotic-preserving Godunov-type numerical schemes for hyperbolic systems with stiff and nonstiff relaxation terms. (English) Zbl 1281.65109 Numer. Methods Partial Differ. Equations 29, No. 4, 1149-1172 (2013). Reviewer: Iwan Gawriljuk (Eisenach) MSC: 65M06 35L60 PDFBibTeX XMLCite \textit{C. Berthon} et al., Numer. Methods Partial Differ. Equations 29, No. 4, 1149--1172 (2013; Zbl 1281.65109) Full Text: DOI HAL
Kurganov, Alexander; Liu, Yu New adaptive artificial viscosity method for hyperbolic systems of conservation laws. (English) Zbl 1284.65112 J. Comput. Phys. 231, No. 24, 8114-8132 (2012). MSC: 65M08 93D21 35L65 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{Y. Liu}, J. Comput. Phys. 231, No. 24, 8114--8132 (2012; Zbl 1284.65112) Full Text: DOI
Rodionov, Alexander V. Complement to the “Kolgan project”. (English) Zbl 1245.76002 J. Comput. Phys. 231, No. 13, 4465-4468 (2012). MSC: 76-03 01A65 01A60 PDFBibTeX XMLCite \textit{A. V. Rodionov}, J. Comput. Phys. 231, No. 13, 4465--4468 (2012; Zbl 1245.76002) Full Text: DOI
Berthon, Christophe; Marche, Fabien; Turpault, Rodolphe An efficient scheme on wet/dry transitions for shallow water equations with friction. (English) Zbl 1271.76178 Comput. Fluids 48, No. 1, 192-201 (2011). MSC: 76M12 76B10 PDFBibTeX XMLCite \textit{C. Berthon} et al., Comput. Fluids 48, No. 1, 192--201 (2011; Zbl 1271.76178) Full Text: DOI Link
van Leer, Bram A historical oversight: Vladimir P. Kolgan and his high-resolution scheme. (English) Zbl 1316.65001 J. Comput. Phys. 230, No. 7, 2378-2383 (2011). MSC: 65-03 01A70 76-03 PDFBibTeX XMLCite \textit{B. van Leer}, J. Comput. Phys. 230, No. 7, 2378--2383 (2011; Zbl 1316.65001) Full Text: DOI
Finaud-Guyot, P.; Delenne, C.; Lhomme, J.; Guinot, V.; Llovel, C. An approximate-state Riemann solver for the two-dimensional shallow water equations with porosity. (English) Zbl 1251.76034 Int. J. Numer. Methods Fluids 62, No. 12, 1299-1331 (2010). MSC: 76M20 65M25 76S05 PDFBibTeX XMLCite \textit{P. Finaud-Guyot} et al., Int. J. Numer. Methods Fluids 62, No. 12, 1299--1331 (2010; Zbl 1251.76034) Full Text: DOI
Wu, Boying; Bi, Hui A semi-implicit Godunov-type scheme for Burgers’ equation. (English) Zbl 1176.65101 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. S1, Suppl., 124-129 (2009). MSC: 65M06 65M12 35Q53 PDFBibTeX XMLCite \textit{B. Wu} and \textit{H. Bi}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 16, No. S1, 124--129 (2009; Zbl 1176.65101)
Ferrari, A.; Dumbser, M.; Toro, E. F.; Armanini, A. A new stable version of the SPH method in Lagrangian coordinates. (English) Zbl 1364.76175 Commun. Comput. Phys. 4, No. 2, 378-404 (2008). MSC: 76M28 76M25 76N99 PDFBibTeX XMLCite \textit{A. Ferrari} et al., Commun. Comput. Phys. 4, No. 2, 378--404 (2008; Zbl 1364.76175)
Waagan, Knut Convergence rate of monotone numerical schemes for Hamilton-Jacobi equations with weak boundary conditions. (English) Zbl 1183.35081 SIAM J. Numer. Anal. 46, No. 5, 2371-2392 (2008). Reviewer: Qin Mengzhao (Beijing) MSC: 35F21 35L60 65M12 49L25 35D40 35A35 PDFBibTeX XMLCite \textit{K. Waagan}, SIAM J. Numer. Anal. 46, No. 5, 2371--2392 (2008; Zbl 1183.35081) Full Text: DOI
Christov, Ivan; Popov, Bojan New non-oscillatory central schemes on unstructured triangulations for hyperbolic systems of conservation laws. (English) Zbl 1151.65068 J. Comput. Phys. 227, No. 11, 5736-5757 (2008). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{I. Christov} and \textit{B. Popov}, J. Comput. Phys. 227, No. 11, 5736--5757 (2008; Zbl 1151.65068) Full Text: DOI
Kurganov, Alexander; Lin, Chitien On the reduction of numerical dissipation in central-upwind schemes. (English) Zbl 1164.65455 Commun. Comput. Phys. 2, No. 1, 141-163 (2007). MSC: 65M06 65M12 35L65 65M20 PDFBibTeX XMLCite \textit{A. Kurganov} and \textit{C. Lin}, Commun. Comput. Phys. 2, No. 1, 141--163 (2007; Zbl 1164.65455)
Maire, Pierre-Henri; Abgrall, Rémi; Breil, Jérôme; Ovadia, Jean A cell-centered Lagrangian scheme for two-dimensional compressible flow problems. (English) Zbl 1251.76028 SIAM J. Sci. Comput. 29, No. 4, 1781-1824 (2007). MSC: 76M12 65M06 76L05 76N20 PDFBibTeX XMLCite \textit{P.-H. Maire} et al., SIAM J. Sci. Comput. 29, No. 4, 1781--1824 (2007; Zbl 1251.76028) Full Text: DOI Link
Titarev, V. A.; Toro, E. F. Analysis of ADER and ADER-WAF schemes. (English) Zbl 1119.65083 IMA J. Numer. Anal. 27, No. 3, 616-630 (2007). MSC: 65M06 65M12 35L45 PDFBibTeX XMLCite \textit{V. A. Titarev} and \textit{E. F. Toro}, IMA J. Numer. Anal. 27, No. 3, 616--630 (2007; Zbl 1119.65083) Full Text: DOI Link
Lhomme, Julien; Guinot, Vincent A general approximate-state Riemann solver for hyperbolic systems of conservation laws with source terms. (English) Zbl 1110.65082 Int. J. Numer. Methods Fluids 53, No. 9, 1509-1540 (2007). MSC: 65M06 76B15 76M20 35L65 PDFBibTeX XMLCite \textit{J. Lhomme} and \textit{V. Guinot}, Int. J. Numer. Methods Fluids 53, No. 9, 1509--1540 (2007; Zbl 1110.65082) Full Text: DOI
Frazão, Sandra Soares; Guinot, Vincent An eigenvector-based linear reconstruction scheme for the shallow-water equations on two-dimensional unstructured meshes. (English) Zbl 1149.76644 Int. J. Numer. Methods Fluids 53, No. 1, 23-55 (2007). MSC: 76M20 65M06 76B15 PDFBibTeX XMLCite \textit{S. S. Frazão} and \textit{V. Guinot}, Int. J. Numer. Methods Fluids 53, No. 1, 23--55 (2007; Zbl 1149.76644) Full Text: DOI
Levy, Doron; Nayak, Suhas; Shu, Chi-Wang; Zhang, Yong-Tao Central WENO schemes for Hamilton-Jacobi equations on triangular meshes. (English) Zbl 1126.65075 SIAM J. Sci. Comput. 28, No. 6, 2229-2247 (2006). MSC: 65M06 35L60 65M20 65M50 PDFBibTeX XMLCite \textit{D. Levy} et al., SIAM J. Sci. Comput. 28, No. 6, 2229--2247 (2006; Zbl 1126.65075) Full Text: DOI
Bryson, Steve; Levy, Doron Mapped WENO and weighted power ENO reconstructions in semi-discrete central schemes for Hamilton-Jacobi equations. (English) Zbl 1096.65081 Appl. Numer. Math. 56, No. 9, 1211-1224 (2006). MSC: 65M06 35L60 49L25 PDFBibTeX XMLCite \textit{S. Bryson} and \textit{D. Levy}, Appl. Numer. Math. 56, No. 9, 1211--1224 (2006; Zbl 1096.65081) Full Text: DOI
Guinot, Vincent An approximate two-dimensional Riemann solver for hyperbolic systems of conservation laws. (English) Zbl 1072.65113 J. Comput. Phys. 205, No. 1, 292-314 (2005). MSC: 65M06 35L65 76B15 76M20 PDFBibTeX XMLCite \textit{V. Guinot}, J. Comput. Phys. 205, No. 1, 292--314 (2005; Zbl 1072.65113) Full Text: DOI
Titarev, V. A.; Toro, E. F. ADER schemes for three-dimensional non-linear hyperbolic systems. (English) Zbl 1060.65641 J. Comput. Phys. 204, No. 2, 715-736 (2005). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{V. A. Titarev} and \textit{E. F. Toro}, J. Comput. Phys. 204, No. 2, 715--736 (2005; Zbl 1060.65641) Full Text: DOI
Bryson, Steve; Kurganov, Alexander; Levy, Doron; Petrova, Guergana Semi-discrete central-upwind schemes with reduced dissipation for Hamilton-Jacobi equations. (English) Zbl 1066.65083 IMA J. Numer. Anal. 25, No. 1, 113-138 (2005). MSC: 65M06 65M20 35L60 PDFBibTeX XMLCite \textit{S. Bryson} et al., IMA J. Numer. Anal. 25, No. 1, 113--138 (2005; Zbl 1066.65083) Full Text: DOI Link
Guinot, Vincent High resolution Godunov-type schemes with small stencils. (English) Zbl 1085.76532 Int. J. Numer. Methods Fluids 44, No. 10, 1119-1162 (2004). MSC: 76M12 76N15 76B10 PDFBibTeX XMLCite \textit{V. Guinot}, Int. J. Numer. Methods Fluids 44, No. 10, 1119--1162 (2004; Zbl 1085.76532) Full Text: DOI
Falcone, M.; Ferretti, R. Consistency of a large time-step scheme for mean curvature motion. (English) Zbl 1045.65072 Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 495-502 (2003). MSC: 65M06 35L60 65M12 PDFBibTeX XMLCite \textit{M. Falcone} and \textit{R. Ferretti}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer. 495--502 (2003; Zbl 1045.65072) Full Text: DOI
Bryson, S.; Levy, D. High-order central WENO schemes for 1D Hamilton-Jacobi equations. (English) Zbl 1043.65098 Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 45-54 (2003). MSC: 65M06 35L60 PDFBibTeX XMLCite \textit{S. Bryson} and \textit{D. Levy}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer. 45--54 (2003; Zbl 1043.65098) Full Text: DOI Link
Guinot, Vincent Riemann solvers and boundary conditions for two-dimensional shallow water simulations. (English) Zbl 1047.76060 Int. J. Numer. Methods Fluids 41, No. 11, 1191-1219 (2003). MSC: 76M12 76B15 PDFBibTeX XMLCite \textit{V. Guinot}, Int. J. Numer. Methods Fluids 41, No. 11, 1191--1219 (2003; Zbl 1047.76060) Full Text: DOI
Berger, Marsha J.; Helzel, Christiane; LeVeque, Randall J. H-box methods for the approximation of hyperbolic conservation laws on irregular grids. (English) Zbl 1066.65082 SIAM J. Numer. Anal. 41, No. 3, 893-918 (2003). Reviewer: Marek Brandner (Plzeň) MSC: 65M06 65M12 35L65 65M15 65M50 PDFBibTeX XMLCite \textit{M. J. Berger} et al., SIAM J. Numer. Anal. 41, No. 3, 893--918 (2003; Zbl 1066.65082) Full Text: DOI
Park, Soo Hyung; Kwon, Jang Hyuk On the dissipation mechanism of Godunov-type schemes. (English) Zbl 1022.76037 J. Comput. Phys. 188, No. 2, 524-542 (2003). MSC: 76M20 76L05 76K05 PDFBibTeX XMLCite \textit{S. H. Park} and \textit{J. H. Kwon}, J. Comput. Phys. 188, No. 2, 524--542 (2003; Zbl 1022.76037) Full Text: DOI
Kopotun, Kirill; Neamtu, Marian; Popov, Bojan Weakly nonoscillatory schemes for scalar conservation laws. (English) Zbl 1028.65093 Math. Comput. 72, No. 244, 1747-1767 (2003). Reviewer: Jialin Hong (Beijing) MSC: 65M06 35L65 65M12 65M15 PDFBibTeX XMLCite \textit{K. Kopotun} et al., Math. Comput. 72, No. 244, 1747--1767 (2003; Zbl 1028.65093) Full Text: DOI
Drikakis, D. Embedded turbulence model in numerical methods for hyperbolic conservation laws. (English) Zbl 1014.76057 Int. J. Numer. Methods Fluids 39, No. 9, 763-781 (2002). MSC: 76M20 76F65 76D05 PDFBibTeX XMLCite \textit{D. Drikakis}, Int. J. Numer. Methods Fluids 39, No. 9, 763--781 (2002; Zbl 1014.76057) Full Text: DOI
van Brummelen, E. H.; Koren, B. A Godunov-type method for capturing water waves. (English) Zbl 0999.76099 Toro, E. F. (ed.), Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. New York, NY: Kluwer Academic/ Plenum Publishers. 949-968 (2001). MSC: 76M20 76N15 76L05 PDFBibTeX XMLCite \textit{E. H. van Brummelen} and \textit{B. Koren}, in: Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. New York, NY: Kluwer Academic/ Plenum Publishers. 949--968 (2001; Zbl 0999.76099)
Schroll, Hans Joachim Error estimates for Godunov-type schemes in the presence of source terms. (English) Zbl 0989.65107 Toro, E. F. (ed.), Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. New York, NY: Kluwer Academic/ Plenum Publishers. 815-821 (2001). MSC: 65M15 65M06 35L65 PDFBibTeX XMLCite \textit{H. J. Schroll}, in: Godunov methods. Theory and applications. International conference, Oxford, GB, October 1999. New York, NY: Kluwer Academic/ Plenum Publishers. 815--821 (2001; Zbl 0989.65107)
Kulikovskii, A. G.; Pogorelov, N. V.; Semenov, A. Yu. Mathematical aspects of numerical solution of hyperbolic systems. (English) Zbl 0965.35001 Chapman & Hall/CRC Monographs and Surveys in Pure and Applied Mathematics. 118. Boca Raton, FL: Chapman & Hall/CRC. xiii, 540 p. (2001). Reviewer: Mária Lukáčová (Brno) MSC: 35-02 65-02 35A35 35Lxx 76W05 65Mxx 65Nxx PDFBibTeX XMLCite \textit{A. G. Kulikovskii} et al., Mathematical aspects of numerical solution of hyperbolic systems. Boca Raton, FL: Chapman \& Hall/CRC (2001; Zbl 0965.35001)
Gallice, Gérard Entropic and positive Godunov-type schemes preserving contact discontinuities. (Schémas de type Godunov entropiques et positifs préservant les discontinuités de contact.) (French) Zbl 0960.65089 C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 2, 149-152 (2000). MSC: 65M06 76M20 35L65 76N15 76W05 PDFBibTeX XMLCite \textit{G. Gallice}, C. R. Acad. Sci., Paris, Sér. I, Math. 331, No. 2, 149--152 (2000; Zbl 0960.65089) Full Text: DOI
Tóth, Gábor The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes. (English) Zbl 0980.76051 J. Comput. Phys. 161, No. 2, 605-652 (2000). MSC: 76M12 76M20 76W05 76L05 PDFBibTeX XMLCite \textit{G. Tóth}, J. Comput. Phys. 161, No. 2, 605--652 (2000; Zbl 0980.76051) Full Text: DOI
Göz, Manfred F.; Munz, Claus-Dieter Approximate Riemann solvers for fluid flow with material interfaces. (English) Zbl 0962.76572 Toro, E. F. (ed.) et al., Numerical methods for wave propagation. Selected contributions from the workshop held in Manchester, GB, May 1995. Dordrecht: Kluwer Academic Publishers. Fluid Mech. Appl. 47, 211-235 (1998). MSC: 76M20 76L05 PDFBibTeX XMLCite \textit{M. F. Göz} and \textit{C.-D. Munz}, Fluid Mech. Appl. 47, 211--235 (1998; Zbl 0962.76572)
Berkenbosch, A. C.; Kaasschieter, E. F.; Klein, R. Detonation capturing for stiff combustion chemistry. (English) Zbl 0936.80005 Combust. Theory Model. 2, No. 3, 313-348 (1998). MSC: 80A25 80M20 80A30 PDFBibTeX XMLCite \textit{A. C. Berkenbosch} et al., Combust. Theory Model. 2, No. 3, 313--348 (1998; Zbl 0936.80005) Full Text: DOI Link
Liu, Xu-Dong; Tadmor, Eitan Third order nonoscillatory central scheme for hyperbolic conservation laws. (English) Zbl 0906.65093 Numer. Math. 79, No. 3, 397-425 (1998). Reviewer: Th.Sonar (Hamburg) MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{X.-D. Liu} and \textit{E. Tadmor}, Numer. Math. 79, No. 3, 397--425 (1998; Zbl 0906.65093) Full Text: DOI
Billett, S. J.; Toro, E. F. On WAF-type schemes for multidimensional hyperbolic conservation laws. (English) Zbl 0873.65088 J. Comput. Phys. 130, No. 1, 1-24 (1997). Reviewer: M.Kukacova (Brno) MSC: 65M06 65M12 76B15 65M60 35L65 PDFBibTeX XMLCite \textit{S. J. Billett} and \textit{E. F. Toro}, J. Comput. Phys. 130, No. 1, 1--24 (1997; Zbl 0873.65088) Full Text: DOI
Murawski, K.; Tanaka, T. Modern numerical schemes for solving magnetohydrodynamic equations. (English) Zbl 0915.76059 Astrophys. Space Sci. 254, No. 2, 187-210 (1997). MSC: 76M20 76W05 76-02 85-08 PDFBibTeX XMLCite \textit{K. Murawski} and \textit{T. Tanaka}, Astrophys. Space Sci. 254, No. 2, 187--210 (1997; Zbl 0915.76059) Full Text: DOI
Dorovsky, V. N.; Perepechko, Yu. V. Mathematical models of two-velocity media. II. (English) Zbl 0882.76090 Math. Comput. Modelling 24, No. 10, 69-80 (1996). MSC: 76S05 76V05 76M20 PDFBibTeX XMLCite \textit{V. N. Dorovsky} and \textit{Yu. V. Perepechko}, Math. Comput. Modelling 24, No. 10, 69--80 (1996; Zbl 0882.76090) Full Text: DOI
Dedesh, Valery V.; Yegorov, Ivan V. On some advances in fluid flow modelling through coupling of Newton method and new implicit PPV schemes. (English) Zbl 0857.76047 Deshpande, S. M. (ed.) et al., 14th international conference on numerical methods in fluid dynamics. Proceedings of the Conference, held in Bangalore, India, 11-15 July, 1994. Berlin: Springer-Verlag. Lect. Notes Phys. 453, 246-250 (1995). MSC: 76M20 76N10 PDFBibTeX XMLCite \textit{V. V. Dedesh} and \textit{I. V. Yegorov}, Lect. Notes Phys. 453, 246--250 (1995; Zbl 0857.76047)
Fursenko, A. A.; Sharov, D. M.; Timofeev, E. V.; Voinovich, P. A. An efficient unstructured Euler solver for transient shocked flows. (English) Zbl 0851.76060 Brun, Raymond (ed.) et al., Shock waves at Marseille I. Hypersonics, shock tube and shock tunnel flow. Proceedings of the 19th international symposium on shock waves, held at Marseille, France, 26-30 July 1993. Berlin: Springer-Verlag. 371-376 (1995). MSC: 76M25 76N10 76L05 PDFBibTeX XMLCite \textit{A. A. Fursenko} et al., in: Shock waves at Marseille I. Hypersonics, shock tube and shock tunnel flow. Proceedings of the 19th international symposium on shock waves, held at Marseille, France, 26-30 July 1993. Berlin: Springer-Verlag. 371--376 (1995; Zbl 0851.76060)
Greenberg, James M.; Le Roux, Alain-Yves; Baraille, Remy; Noussaïr, Ahmed Analysis and approximation of conservation laws with source term. (Analyse et approximation de lois de conservation avec terme source.) (French. English summary) Zbl 0840.65094 C. R. Acad. Sci., Paris, Sér. I 321, No. 8, 1073-1076 (1995). MSC: 65M06 65M12 35L65 PDFBibTeX XMLCite \textit{J. M. Greenberg} et al., C. R. Acad. Sci., Paris, Sér. I 321, No. 8, 1073--1076 (1995; Zbl 0840.65094)
Dai, Wenlong; Woodward, Paul R. An approximate Riemann solver for ideal magnetohydrodynamics. (English) Zbl 0797.76052 J. Comput. Phys. 111, No. 2, 354-372 (1994). MSC: 76M20 76W05 76L05 PDFBibTeX XMLCite \textit{W. Dai} and \textit{P. R. Woodward}, J. Comput. Phys. 111, No. 2, 354--372 (1994; Zbl 0797.76052) Full Text: DOI
Yang, J. Y.; Hsu, Chiang-An Numerical experiments with nonoscillatory schemes using Eulerian and new Lagrangian formulations. (English) Zbl 0778.76069 Comput. Fluids 22, No. 2-3, 163-177 (1993). MSC: 76M20 76J20 76L05 PDFBibTeX XMLCite \textit{J. Y. Yang} and \textit{C.-A. Hsu}, Comput. Fluids 22, No. 2--3, 163--177 (1993; Zbl 0778.76069) Full Text: DOI
Vila, J. P. An analysis of a class of second-order accurate Godunov-type schemes. (English) Zbl 0681.65065 SIAM J. Numer. Anal. 26, No. 4, 830-853 (1989). Reviewer: V.Kamen MSC: 65M12 35L65 PDFBibTeX XMLCite \textit{J. P. Vila}, SIAM J. Numer. Anal. 26, No. 4, 830--853 (1989; Zbl 0681.65065) Full Text: DOI
Einfeldt, Bernd Zur Numerik der stoßauflösenden Verfahren. (Numeics of shock capturing). (German) Zbl 0658.76069 Aachen (FRG): Technische Hochschule Aachen, Mathematisch- Naturwissenschaftliche Fakultät, vi, 144 S. (1988). Reviewer: K.G.Roesner MSC: 76N15 76M99 PDFBibTeX XML
Harten, Ami On high-order accurate interpolation for non-oscillatory shock capturing schemes. (English) Zbl 0606.76084 Oscillation theory, computation, and methods of compensated compactness, Proc. Workshop, Minneapolis/Minn. 1984/85, IMA Vol. Math. Appl. 2, 71-105 (1986). MSC: 76L05 65Z05 35L65 PDFBibTeX XML
Dervieux, A.; Vijayasundaram, G. On numerical schemes for solving the Euler equations of gas dynamics. (English) Zbl 0608.76057 Numerical methods for the Euler equations of fluid dynamics, Proc. INRIA Workshop, Rocquencourt/France 1983, 121-144 (1985). MSC: 76N10 76L05 76M99 PDFBibTeX XML
Harten, Amiram; Lax, Peter D.; van Leer, Bram On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. (English) Zbl 0565.65051 SIAM Rev. 25, 35-61 (1983). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{A. Harten} et al., SIAM Rev. 25, 35--61 (1983; Zbl 0565.65051) Full Text: DOI