Kusch, Jonas; Schlachter, Louisa Oscillation mitigation of hyperbolicity-preserving intrusive uncertainty quantification methods for systems of conservation laws. (English) Zbl 07396394 J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022). MSC: 65-XX 35L60 35Q31 35Q62 37L65 65M08 65M60 PDF BibTeX XML Cite \textit{J. Kusch} and \textit{L. Schlachter}, J. Comput. Appl. Math. 400, Article ID 113714, 24 p. (2022; Zbl 07396394) Full Text: DOI arXiv OpenURL
Hu, Lijun; Yuan, Li A simple FORCE-type centred scheme accurate for contact discontinuities: application to compressible Euler flows. (English) Zbl 07426288 Comput. Fluids 227, Article ID 105021, 16 p. (2021). MSC: 76-XX PDF BibTeX XML Cite \textit{L. Hu} and \textit{L. Yuan}, Comput. Fluids 227, Article ID 105021, 16 p. (2021; Zbl 07426288) Full Text: DOI OpenURL
Berberich, Jonas P.; Käppeli, Roger; Chandrashekar, Praveen; Klingenberg, Christian High order discretely well-balanced methods for arbitrary hydrostatic atmospheres. (English) Zbl 07423023 Commun. Comput. Phys. 30, No. 3, 666-708 (2021). MSC: 76M12 PDF BibTeX XML Cite \textit{J. P. Berberich} et al., Commun. Comput. Phys. 30, No. 3, 666--708 (2021; Zbl 07423023) Full Text: DOI arXiv OpenURL
Chiapolino, Alexandre; Saurel, Richard; Toro, Eleuterio Investigation of Riemann solver with internal reconstruction (RSIR) for the Euler equations. (English) Zbl 1473.35419 Commun. Comput. Phys. 29, No. 4, 1059-1094 (2021). MSC: 35Q31 35Q35 76-11 76L05 76M12 PDF BibTeX XML Cite \textit{A. Chiapolino} et al., Commun. Comput. Phys. 29, No. 4, 1059--1094 (2021; Zbl 1473.35419) Full Text: DOI OpenURL
Kurganov, Alexander; Liu, Yongle; Zeitlin, Vladimir Numerical dissipation switch for two-dimensional central-upwind schemes. (English) Zbl 07405580 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 713-734 (2021). MSC: 76M12 76N15 76U05 PDF BibTeX XML Cite \textit{A. Kurganov} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 713--734 (2021; Zbl 07405580) Full Text: DOI OpenURL
Chen, Jinqiang; Yu, Peixiang; Ouyang, Hua; Tian, Zhen F. A novel parallel computing strategy for compact difference schemes with consistent accuracy and dispersion. (English) Zbl 1456.65060 J. Sci. Comput. 86, No. 1, Paper No. 5, 32 p. (2021). MSC: 65M06 65M15 65Y05 76N06 35Q31 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Sci. Comput. 86, No. 1, Paper No. 5, 32 p. (2021; Zbl 1456.65060) Full Text: DOI OpenURL
Hu, Lijun; Yuan, Li; Zhao, Kunlei Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows. (English) Zbl 07426167 Comput. Fluids 213, Article ID 104719, 15 p. (2020). MSC: 76-XX PDF BibTeX XML Cite \textit{L. Hu} et al., Comput. Fluids 213, Article ID 104719, 15 p. (2020; Zbl 07426167) Full Text: DOI OpenURL
Thomann, Andrea; Zenk, Markus; Puppo, Gabriella; Klingenberg, Christian An all speed second order IMEX relaxation scheme for the Euler equations. (English) Zbl 1480.76083 Commun. Comput. Phys. 28, No. 2, 591-620 (2020). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{A. Thomann} et al., Commun. Comput. Phys. 28, No. 2, 591--620 (2020; Zbl 1480.76083) Full Text: DOI arXiv OpenURL
Shu, Chi-Wang A class of bound-preserving high order schemes: the main ideas and recent developments. (English) Zbl 07370298 Brenner, Susanne C. (ed.) et al., 75 years of mathematics of computation. Symposium celebrating 75 years of mathematics of computation, Institute for Computational and Experimental Research in Mathematics, ICERM, Providence, RI, USA, November 1–3, 2018. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 754, 247-259 (2020). MSC: 65M60 65M06 65N30 65M70 65N35 65D32 76N15 76W05 35B45 35Q31 35Q35 PDF BibTeX XML Cite \textit{C.-W. Shu}, Contemp. Math. 754, 247--259 (2020; Zbl 07370298) Full Text: DOI OpenURL
Serezhkin, Alexey; Menshov, Igor On solving the Riemann problem for non-conservative hyperbolic systems of partial differential equations. (English) Zbl 07336688 Comput. Fluids 210, Article ID 104675, 11 p. (2020). MSC: 76-XX PDF BibTeX XML Cite \textit{A. Serezhkin} and \textit{I. Menshov}, Comput. Fluids 210, Article ID 104675, 11 p. (2020; Zbl 07336688) Full Text: DOI OpenURL
Berthon, Christophe; Klingenberg, Christian; Zenk, Markus An all Mach number relaxation upwind scheme. (English) Zbl 1447.65043 SMAI J. Comput. Math. 6, 1-31 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M06 65M12 35Q31 PDF BibTeX XML Cite \textit{C. Berthon} et al., SMAI J. Comput. Math. 6, 1--31 (2020; Zbl 1447.65043) Full Text: DOI OpenURL
Bouchut, François; Chalons, Christophe; Guisset, Sébastien An entropy satisfying two-speed relaxation system for the barotropic Euler equations: application to the numerical approximation of low Mach number flows. (English) Zbl 1434.76098 Numer. Math. 145, No. 1, 35-76 (2020). MSC: 76M45 76M12 35Q31 35L65 PDF BibTeX XML Cite \textit{F. Bouchut} et al., Numer. Math. 145, No. 1, 35--76 (2020; Zbl 1434.76098) Full Text: DOI HAL OpenURL
Gouasmi, Ayoub; Duraisamy, Karthik; Murman, Scott M.; Tadmor, Eitan A minimum entropy principle in the compressible multicomponent Euler equations. (English) Zbl 1434.76101 ESAIM, Math. Model. Numer. Anal. 54, No. 2, 373-389 (2020). MSC: 76N10 76N15 35Q31 35L65 65M12 PDF BibTeX XML Cite \textit{A. Gouasmi} et al., ESAIM, Math. Model. Numer. Anal. 54, No. 2, 373--389 (2020; Zbl 1434.76101) Full Text: DOI arXiv OpenURL
Castro, Manuel J.; Parés, Carlos Well-balanced high-order finite volume methods for systems of balance laws. (English) Zbl 1440.65109 J. Sci. Comput. 82, No. 2, Paper No. 48, 48 p. (2020). MSC: 65M08 76M12 76N06 76B15 35Q31 35D30 PDF BibTeX XML Cite \textit{M. J. Castro} and \textit{C. Parés}, J. Sci. Comput. 82, No. 2, Paper No. 48, 48 p. (2020; Zbl 1440.65109) Full Text: DOI OpenURL
Vevek, U. S.; Zang, B.; New, T. H. An efficient hybrid method for solving Euler equations. (English) Zbl 1433.65167 J. Sci. Comput. 81, No. 2, 732-762 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 35L65 65M12 35Q31 65M08 76L05 PDF BibTeX XML Cite \textit{U. S. Vevek} et al., J. Sci. Comput. 81, No. 2, 732--762 (2019; Zbl 1433.65167) Full Text: DOI OpenURL
Deininger, Martina; Iben, Uwe; Munz, Claus-Dieter Coupling of three- and one-dimensional hydraulic flow simulations. (English) Zbl 07083202 Comput. Fluids 190, 128-138 (2019). MSC: 76-XX PDF BibTeX XML Cite \textit{M. Deininger} et al., Comput. Fluids 190, 128--138 (2019; Zbl 07083202) Full Text: DOI OpenURL
Escalante, C.; Fernández-Nieto, E. D.; Morales de Luna, T.; Castro, M. J. An efficient two-layer non-hydrostatic approach for dispersive water waves. (English) Zbl 1444.76032 J. Sci. Comput. 79, No. 1, 273-320 (2019). MSC: 76B15 86A05 76M12 76M20 35Q31 PDF BibTeX XML Cite \textit{C. Escalante} et al., J. Sci. Comput. 79, No. 1, 273--320 (2019; Zbl 1444.76032) Full Text: DOI OpenURL
Jin, Peng; Deng, Xi; Xiao, Feng A direct ALE multi-moment finite volume scheme for the compressible Euler equations. (English) Zbl 1475.76066 Commun. Comput. Phys. 24, No. 5, 1300-1325 (2018). MSC: 76M12 76N15 65M08 76L05 PDF BibTeX XML Cite \textit{P. Jin} et al., Commun. Comput. Phys. 24, No. 5, 1300--1325 (2018; Zbl 1475.76066) Full Text: DOI OpenURL
Prebeg, Marin; Flåtten, Tore; Müller, Bernhard Large time step HLL and HLLC schemes. (English) Zbl 1417.65160 ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1239-1260 (2018). Reviewer: Kai Schneider (Marseille) MSC: 65M08 35L65 65Y20 35Q31 PDF BibTeX XML Cite \textit{M. Prebeg} et al., ESAIM, Math. Model. Numer. Anal. 52, No. 4, 1239--1260 (2018; Zbl 1417.65160) Full Text: DOI Link OpenURL
Chalons, C.; Duvigneau, R.; Fiorini, C. Sensitivity analysis and numerical diffusion effects for hyperbolic PDE systems with discontinuous solutions. The case of barotropic Euler equations in Lagrangian coordinates. (English) Zbl 1417.65159 SIAM J. Sci. Comput. 40, No. 6, A3955-A3981 (2018). Reviewer: Denys Dutykh (Chambéry) MSC: 65M08 35L60 35Q31 PDF BibTeX XML Cite \textit{C. Chalons} et al., SIAM J. Sci. Comput. 40, No. 6, A3955--A3981 (2018; Zbl 1417.65159) Full Text: DOI OpenURL
Pelanti, Marica Wave structure similarity of the HLLC and Roe Riemann solvers: application to low Mach number preconditioning. (English) Zbl 1435.76047 SIAM J. Sci. Comput. 40, No. 3, A1836-A1859 (2018). Reviewer: José Augusto Ferreira (Coimbra) MSC: 76M12 76N15 65M08 PDF BibTeX XML Cite \textit{M. Pelanti}, SIAM J. Sci. Comput. 40, No. 3, A1836--A1859 (2018; Zbl 1435.76047) Full Text: DOI OpenURL
Ohwada, Taku; Shibata, Yuki; Kato, Takuma; Nakamura, Taichi A simple, robust and efficient high-order accurate shock-capturing scheme for compressible flows: towards minimalism. (English) Zbl 1391.76432 J. Comput. Phys. 362, 131-162 (2018). MSC: 76M12 76L05 PDF BibTeX XML Cite \textit{T. Ohwada} et al., J. Comput. Phys. 362, 131--162 (2018; Zbl 1391.76432) Full Text: DOI OpenURL
Perrotta, Andrea; Favini, Bernardo A second-order finite-volume scheme for Euler equations: kinetic energy preserving and staggering effects. (English) Zbl 1445.76054 J. Sci. Comput. 71, No. 1, 166-194 (2017). MSC: 76M12 35Q31 PDF BibTeX XML Cite \textit{A. Perrotta} and \textit{B. Favini}, J. Sci. Comput. 71, No. 1, 166--194 (2017; Zbl 1445.76054) Full Text: DOI OpenURL
Boscheri, Walter; Dumbser, Michael Arbitrary-Lagrangian-Eulerian discontinuous Galerkin schemes with a posteriori subcell finite volume limiting on moving unstructured meshes. (English) Zbl 1378.76044 J. Comput. Phys. 346, 449-479 (2017). MSC: 76M10 65M60 35L65 76W05 PDF BibTeX XML Cite \textit{W. Boscheri} and \textit{M. Dumbser}, J. Comput. Phys. 346, 449--479 (2017; Zbl 1378.76044) Full Text: DOI arXiv OpenURL
Schmidtmann, Birte; Torrilhon, Manuel A hybrid Riemann solver for large hyperbolic systems of conservation laws. (English) Zbl 1379.65070 SIAM J. Sci. Comput. 39, No. 6, A2911-A2934 (2017). MSC: 65M08 35L05 76W05 76M12 PDF BibTeX XML Cite \textit{B. Schmidtmann} and \textit{M. Torrilhon}, SIAM J. Sci. Comput. 39, No. 6, A2911--A2934 (2017; Zbl 1379.65070) Full Text: DOI arXiv OpenURL
Dumbser, Michael; Casulli, Vincenzo A conservative, weakly nonlinear semi-implicit finite volume scheme for the compressible Navier-Stokes equations with general equation of state. (English) Zbl 1410.76220 Appl. Math. Comput. 272, Part 2, 479-497 (2016). MSC: 76M12 65M08 76Nxx PDF BibTeX XML Cite \textit{M. Dumbser} and \textit{V. Casulli}, Appl. Math. Comput. 272, Part 2, 479--497 (2016; Zbl 1410.76220) Full Text: DOI OpenURL
Dumbser, Michael; Balsara, Dinshaw S. A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems. (English) Zbl 1349.76603 J. Comput. Phys. 304, 275-319 (2016). MSC: 76M25 65M25 76Dxx 76Txx 76W05 PDF BibTeX XML Cite \textit{M. Dumbser} and \textit{D. S. Balsara}, J. Comput. Phys. 304, 275--319 (2016; Zbl 1349.76603) Full Text: DOI OpenURL
Furfaro, Damien; Saurel, Richard A simple HLLC-type Riemann solver for compressible non-equilibrium two-phase flows. (English) Zbl 1410.76288 Comput. Fluids 111, 159-178 (2015). MSC: 76M20 65M06 65M25 76Nxx 35Q31 PDF BibTeX XML Cite \textit{D. Furfaro} and \textit{R. Saurel}, Comput. Fluids 111, 159--178 (2015; Zbl 1410.76288) Full Text: DOI OpenURL
San, Omer; Kara, Kursat Evaluation of Riemann flux solvers for WENO reconstruction schemes: Kelvin-Helmholtz instability. (English) Zbl 1390.76617 Comput. Fluids 117, 24-41 (2015). MSC: 76M20 65M06 76Nxx PDF BibTeX XML Cite \textit{O. San} and \textit{K. Kara}, Comput. Fluids 117, 24--41 (2015; Zbl 1390.76617) Full Text: DOI OpenURL
Xie, Wenjia; Li, Hua; Tian, Zhengyu; Pan, Sha A low diffusion flux splitting method for inviscid compressible flows. (English) Zbl 1390.76534 Comput. Fluids 112, 83-93 (2015). MSC: 76M12 76N99 35Q31 PDF BibTeX XML Cite \textit{W. Xie} et al., Comput. Fluids 112, 83--93 (2015; Zbl 1390.76534) Full Text: DOI OpenURL
Liu, Ji-Yueh; Smith, Matthew R.; Kuo, Fang-An; Wu, Jong-Shin Hybrid OpenMP/AVX acceleration of a split HLL finite volume method for the shallow water and Euler equations. (English) Zbl 1390.76475 Comput. Fluids 110, 181-188 (2015). MSC: 76M12 65M08 65Y05 PDF BibTeX XML Cite \textit{J.-Y. Liu} et al., Comput. Fluids 110, 181--188 (2015; Zbl 1390.76475) Full Text: DOI OpenURL
Mandal, J. C.; Sharma, V. A genuinely multidimensional convective pressure flux split Riemann solver for Euler equations. (English) Zbl 1349.76630 J. Comput. Phys. 297, 669-688 (2015). MSC: 76M25 65M25 76N15 35Q31 PDF BibTeX XML Cite \textit{J. C. Mandal} and \textit{V. Sharma}, J. Comput. Phys. 297, 669--688 (2015; Zbl 1349.76630) Full Text: DOI OpenURL
Balsara, Dinshaw S. Three dimensional HLL Riemann solver for conservation laws on structured meshes; application to Euler and magnetohydrodynamic flows. (English) Zbl 1349.76584 J. Comput. Phys. 295, 1-23 (2015). MSC: 76M25 65M25 76W05 PDF BibTeX XML Cite \textit{D. S. Balsara}, J. Comput. Phys. 295, 1--23 (2015; Zbl 1349.76584) Full Text: DOI OpenURL
Maruthi, N. H.; Raghurama Rao, S. V. An entropy stable central solver for Euler equations. (English) Zbl 1342.76086 Int. J. Adv. Eng. Sci. Appl. Math. 7, No. 3, 134-148 (2015). MSC: 76M20 65M06 35Q31 PDF BibTeX XML Cite \textit{N. H. Maruthi} and \textit{S. V. Raghurama Rao}, Int. J. Adv. Eng. Sci. Appl. Math. 7, No. 3, 134--148 (2015; Zbl 1342.76086) Full Text: DOI arXiv OpenURL
San, Omer; Kara, Kursat Numerical assessments of high-order accurate shock capturing schemes: Kelvin-Helmholtz type vortical structures in high-resolutions. (English) Zbl 1391.76287 Comput. Fluids 89, 254-276 (2014). MSC: 76L05 65M06 76M20 76N15 PDF BibTeX XML Cite \textit{O. San} and \textit{K. Kara}, Comput. Fluids 89, 254--276 (2014; Zbl 1391.76287) Full Text: DOI OpenURL
Puri, Kunal; Ramachandran, Prabhu Approximate Riemann solvers for the Godunov SPH (GSPH). (English) Zbl 1349.76729 J. Comput. Phys. 270, 432-458 (2014). MSC: 76M28 65M25 65M75 76Nxx 35Q31 PDF BibTeX XML Cite \textit{K. Puri} and \textit{P. Ramachandran}, J. Comput. Phys. 270, 432--458 (2014; Zbl 1349.76729) Full Text: DOI OpenURL
Yelash, L.; Müller, A.; Lukáčová-Medvid’ová, M.; Giraldo, F. X.; Wirth, V. Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. (English) Zbl 1349.76292 J. Comput. Phys. 268, 106-133 (2014). MSC: 76M10 76R10 86-08 65M60 65M50 86A10 PDF BibTeX XML Cite \textit{L. Yelash} et al., J. Comput. Phys. 268, 106--133 (2014; Zbl 1349.76292) Full Text: DOI Link OpenURL
Boscheri, Walter; Balsara, Dinshaw S.; Dumbser, Michael Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. (English) Zbl 1349.76309 J. Comput. Phys. 267, 112-138 (2014). MSC: 76M12 65M08 76W05 PDF BibTeX XML Cite \textit{W. Boscheri} et al., J. Comput. Phys. 267, 112--138 (2014; Zbl 1349.76309) Full Text: DOI arXiv OpenURL
Kapen, Pascalin Tiam; Ghislain, Tchuen A new flux splitting scheme based on Toro-Vazquez and HLL schemes for the Euler equations. (English) Zbl 1318.76014 J. Comput. Methods Phys. 2014, Article ID 827034, 13 p. (2014). MSC: 76M20 35Q31 PDF BibTeX XML Cite \textit{P. T. Kapen} and \textit{T. Ghislain}, J. Comput. Methods Phys. 2014, Article ID 827034, 13 p. (2014; Zbl 1318.76014) Full Text: DOI OpenURL
Bonito, Andrea; Guermond, Jean-Luc; Popov, Bojan Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations. (English) Zbl 1291.65277 Math. Comput. 83, No. 287, 1039-1062 (2014). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M12 65M60 65M20 35L65 35Q53 35L02 PDF BibTeX XML Cite \textit{A. Bonito} et al., Math. Comput. 83, No. 287, 1039--1062 (2014; Zbl 1291.65277) Full Text: DOI OpenURL
Balsara, Dinshaw S.; Meyer, Chad; Dumbser, Michael; Du, Huijing; Xu, Zhiliang Efficient implementation of ADER schemes for Euler and magnetohydrodynamical flows on structured meshes – speed comparisons with Runge-Kutta methods. (English) Zbl 1291.76237 J. Comput. Phys. 235, 934-969 (2013). MSC: 76M25 76W05 65Y20 65L05 PDF BibTeX XML Cite \textit{D. S. Balsara} et al., J. Comput. Phys. 235, 934--969 (2013; Zbl 1291.76237) Full Text: DOI arXiv OpenURL
Capdeville, Guy An auto-adaptive approximate Riemann solver for non-linear Euler equations. (English) Zbl 1365.76223 Comput. Fluids 68, 219-243 (2012). MSC: 76M25 65M25 35Q31 PDF BibTeX XML Cite \textit{G. Capdeville}, Comput. Fluids 68, 219--243 (2012; Zbl 1365.76223) Full Text: DOI OpenURL
Mandal, J. C.; Panwar, V. Robust HLL-type Riemann solver capable of resolving contact discontinuity. (English) Zbl 1365.76164 Comput. Fluids 63, 148-164 (2012). MSC: 76M12 65M08 PDF BibTeX XML Cite \textit{J. C. Mandal} and \textit{V. Panwar}, Comput. Fluids 63, 148--164 (2012; Zbl 1365.76164) Full Text: DOI OpenURL
Balsara, Dinshaw S. A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows. (English) Zbl 1284.76261 J. Comput. Phys. 231, No. 22, 7476-7503 (2012). MSC: 76M12 35L65 76W05 35Q31 PDF BibTeX XML Cite \textit{D. S. Balsara}, J. Comput. Phys. 231, No. 22, 7476--7503 (2012; Zbl 1284.76261) Full Text: DOI arXiv OpenURL
Capdeville, G. A multi-dimensional HLL-Riemann solver for Euler equations of gas dynamics. (English) Zbl 1271.76180 Comput. Fluids 47, No. 1, 122-143 (2011). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{G. Capdeville}, Comput. Fluids 47, No. 1, 122--143 (2011; Zbl 1271.76180) Full Text: DOI Link OpenURL
Capdeville, G. A multidimensional HLL-Riemann solver for nonlinear hyperbolic systems. (English) Zbl 1428.76113 Int. J. Numer. Methods Fluids 67, No. 12, 1899-1931 (2011). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{G. Capdeville}, Int. J. Numer. Methods Fluids 67, No. 12, 1899--1931 (2011; Zbl 1428.76113) Full Text: DOI OpenURL
Berthon, Christophe; Turpault, Rodolphe Asymptotic preserving HLL schemes. (English) Zbl 1237.65100 Numer. Methods Partial Differ. Equations 27, No. 6, 1396-1422 (2011). Reviewer: Othmar Koch (Baden) MSC: 65M08 35L65 35B40 PDF BibTeX XML Cite \textit{C. Berthon} and \textit{R. Turpault}, Numer. Methods Partial Differ. Equations 27, No. 6, 1396--1422 (2011; Zbl 1237.65100) Full Text: DOI OpenURL
Capdeville, G. A high-order multi-dimensional HLL-Riemann solver for non-linear Euler equations. (English) Zbl 1218.65090 J. Comput. Phys. 230, No. 8, 2915-2951 (2011). MSC: 65M08 35L65 PDF BibTeX XML Cite \textit{G. Capdeville}, J. Comput. Phys. 230, No. 8, 2915--2951 (2011; Zbl 1218.65090) Full Text: DOI OpenURL
Wu, Hao; Shen, Longjun; Shen, Zhijun A hybrid numerical method to cure numerical shock instability. (English) Zbl 1364.76163 Commun. Comput. Phys. 8, No. 5, 1264-1271 (2010). MSC: 76M25 35Q31 PDF BibTeX XML Cite \textit{H. Wu} et al., Commun. Comput. Phys. 8, No. 5, 1264--1271 (2010; Zbl 1364.76163) Full Text: DOI OpenURL
Rieper, Felix On the dissipation mechanism of upwind-schemes in the low Mach number regime: a comparison between Roe and HLL. (English) Zbl 1375.76115 J. Comput. Phys. 229, No. 2, 221-232 (2010). MSC: 76M20 76M12 76D05 76N99 65M06 65M08 PDF BibTeX XML Cite \textit{F. Rieper}, J. Comput. Phys. 229, No. 2, 221--232 (2010; Zbl 1375.76115) Full Text: DOI OpenURL
Rossmanith, James A. A class of residual distribution schemes and their relation to relaxation systems. (English) Zbl 1155.65064 J. Comput. Phys. 227, No. 22, 9527-9553 (2008). MSC: 65M06 35L65 76N15 PDF BibTeX XML Cite \textit{J. A. Rossmanith}, J. Comput. Phys. 227, No. 22, 9527--9553 (2008; Zbl 1155.65064) Full Text: DOI arXiv OpenURL
Dumbser, Michael; Enaux, Cedric; Toro, Eleuterio F. Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. (English) Zbl 1142.65070 J. Comput. Phys. 227, No. 8, 3971-4001 (2008). MSC: 65M06 35L65 65M60 PDF BibTeX XML Cite \textit{M. Dumbser} et al., J. Comput. Phys. 227, No. 8, 3971--4001 (2008; Zbl 1142.65070) Full Text: DOI OpenURL
Harris, Rob; Wang, Z. J.; Liu, Yen Efficient quadrature-free high-order spectral volume method on unstructured grids: theory and 2D implementation. (English) Zbl 1134.65070 J. Comput. Phys. 227, No. 3, 1620-1642 (2008). MSC: 65M70 35L65 35L45 PDF BibTeX XML Cite \textit{R. Harris} et al., J. Comput. Phys. 227, No. 3, 1620--1642 (2008; Zbl 1134.65070) Full Text: DOI OpenURL
Klingenberg, Christian; Schmidt, Wolfram; Waagan, Knut Numerical comparison of Riemann solvers for astrophysical hydrodynamics. (English) Zbl 1128.85006 J. Comput. Phys. 227, No. 1, 12-35 (2007). MSC: 85A30 85-04 76N10 PDF BibTeX XML Cite \textit{C. Klingenberg} et al., J. Comput. Phys. 227, No. 1, 12--35 (2007; Zbl 1128.85006) Full Text: DOI arXiv OpenURL
Dumbser, Michael; Käser, Martin; Titarev, Vladimir A.; Toro, Eleuterio F. Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. (English) Zbl 1124.65074 J. Comput. Phys. 226, No. 1, 204-243 (2007). MSC: 65M06 65M12 76M12 35L65 76N15 PDF BibTeX XML Cite \textit{M. Dumbser} et al., J. Comput. Phys. 226, No. 1, 204--243 (2007; Zbl 1124.65074) Full Text: DOI OpenURL
Alauzet, F.; Frey, P. J.; George, P. L.; Mohammadi, B. 3D transient fixed point mesh adaptation for time-dependent problems: Application to CFD simulations. (English) Zbl 1158.76388 J. Comput. Phys. 222, No. 2, 592-623 (2007). MSC: 76M25 65M50 PDF BibTeX XML Cite \textit{F. Alauzet} et al., J. Comput. Phys. 222, No. 2, 592--623 (2007; Zbl 1158.76388) Full Text: DOI OpenURL
Berthon, Christophe Robustness of MUSCL schemes for 2D unstructured meshes. (English) Zbl 1161.65345 J. Comput. Phys. 218, No. 2, 495-509 (2006). MSC: 65M06 PDF BibTeX XML Cite \textit{C. Berthon}, J. Comput. Phys. 218, No. 2, 495--509 (2006; Zbl 1161.65345) Full Text: DOI OpenURL
Berthon, Christophe Why the MUSCL-Hancock scheme is \(\text{L}^{1}\)-stable. (English) Zbl 1106.65079 Numer. Math. 104, No. 1, 27-46 (2006). Reviewer: Leonid B. Chubarov (Novosibirsk) MSC: 65M12 35L65 76N15 65M06 76M12 PDF BibTeX XML Cite \textit{C. Berthon}, Numer. Math. 104, No. 1, 27--46 (2006; Zbl 1106.65079) Full Text: DOI OpenURL
Toro, E. F.; Titarev, V. A. MUSTA fluxes for systems of conservation laws. (English) Zbl 1097.65091 J. Comput. Phys. 216, No. 2, 403-429 (2006). MSC: 65M06 35L65 65M12 35L45 76N15 76W05 76M12 PDF BibTeX XML Cite \textit{E. F. Toro} and \textit{V. A. Titarev}, J. Comput. Phys. 216, No. 2, 403--429 (2006; Zbl 1097.65091) Full Text: DOI OpenURL
Nastase, Cristian R.; Mavriplis, Dimitri J. High-order discontinuous Galerkin methods using an \(hp\)-multigrid approach. (English) Zbl 1089.65100 J. Comput. Phys. 213, No. 1, 330-357 (2006). MSC: 65M60 35L65 65M55 76N15 76M25 PDF BibTeX XML Cite \textit{C. R. Nastase} and \textit{D. J. Mavriplis}, J. Comput. Phys. 213, No. 1, 330--357 (2006; Zbl 1089.65100) Full Text: DOI OpenURL
Toro, E. F.; Titarev, V. A. Derivative Riemann solvers for systems of conservation laws and ader methods. (English) Zbl 1087.65590 J. Comput. Phys. 212, No. 1, 150-165 (2006). MSC: 65M06 35L65 76N15 76M20 PDF BibTeX XML Cite \textit{E. F. Toro} and \textit{V. A. Titarev}, J. Comput. Phys. 212, No. 1, 150--165 (2006; Zbl 1087.65590) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{V. A. Titarev} and \textit{E. F. Toro}, J. Comput. Phys. 204, No. 2, 715--736 (2005; Zbl 1060.65641) Full Text: DOI OpenURL
Banda, Mapundi Kondwani Variants of relaxed schemes and two-dimensional gas dynamics. (English) Zbl 1107.76053 J. Comput. Appl. Math. 175, No. 1, 41-62 (2005). MSC: 76M20 76N15 65M06 PDF BibTeX XML Cite \textit{M. K. Banda}, J. Comput. Appl. Math. 175, No. 1, 41--62 (2005; Zbl 1107.76053) Full Text: DOI OpenURL
Li, Shengtai An HLLC Riemann solver for magneto-hydrodynamics. (English) Zbl 1299.76302 J. Comput. Phys. 203, No. 1, 344-357 (2005). MSC: 76W05 35Q31 PDF BibTeX XML Cite \textit{S. Li}, J. Comput. Phys. 203, No. 1, 344--357 (2005; Zbl 1299.76302) Full Text: DOI OpenURL
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald A BGK-type flux-vector splitting scheme for the ultrarelativistic Euler equations. (English) Zbl 1071.82049 SIAM J. Sci. Comput. 26, No. 1, 196-223 (2004). MSC: 82C80 35Q75 83A05 82C40 65M99 65Y20 PDF BibTeX XML Cite \textit{M. Kunik} et al., SIAM J. Sci. Comput. 26, No. 1, 196--223 (2004; Zbl 1071.82049) Full Text: DOI OpenURL
Kunik, Matthias; Qamar, Shamsul; Warnecke, Gerald Second-order accurate kinetic schemes for the ultra-relativistic Euler equations. (English) Zbl 1117.76308 J. Comput. Phys. 192, No. 2, 695-726 (2003). MSC: 76M28 65M06 76P05 76Y05 PDF BibTeX XML Cite \textit{M. Kunik} et al., J. Comput. Phys. 192, No. 2, 695--726 (2003; Zbl 1117.76308) Full Text: DOI OpenURL
Kurganov, Alexander; Noelle, Sebastian; Petrova, Guergana Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. (English) Zbl 0998.65091 SIAM J. Sci. Comput. 23, No. 3, 707-740 (2001). MSC: 65M06 76D05 76N15 76M20 35L65 35Q30 65M20 PDF BibTeX XML Cite \textit{A. Kurganov} et al., SIAM J. Sci. Comput. 23, No. 3, 707--740 (2001; Zbl 0998.65091) Full Text: DOI OpenURL
Buffard, Thierry; Gallouët, Thierry; Hérard, Jean-Marc A sequel to a rough Godunov scheme: Application to real gases. (English) Zbl 0961.76048 Comput. Fluids 29, No. 7, 813-847 (2000). MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{T. Buffard} et al., Comput. Fluids 29, No. 7, 813--847 (2000; Zbl 0961.76048) Full Text: DOI OpenURL
Janhunen, P. A positive conservative method for magnetohydrodynamics based on HLL and Roe methods. (English) Zbl 0967.76061 J. Comput. Phys. 160, No. 2, 649-661 (2000). MSC: 76M12 76W05 PDF BibTeX XML Cite \textit{P. Janhunen}, J. Comput. Phys. 160, No. 2, 649--661 (2000; Zbl 0967.76061) Full Text: DOI OpenURL
Men’shov, Igor S.; Nakamura, Yoshiaki On implicit Godunov’s method with exactly linearized numerical flux. (English) Zbl 0996.76062 Comput. Fluids 29, No. 6, 595-616 (2000). Reviewer: Mária Lukáčová (Brno) MSC: 76M12 76L05 PDF BibTeX XML Cite \textit{I. S. Men'shov} and \textit{Y. Nakamura}, Comput. Fluids 29, No. 6, 595--616 (2000; Zbl 0996.76062) Full Text: DOI OpenURL
Gressier, Jérémie; Villedieu, Philippe; Moschetta, Jean-Marc Positivity of flux vector splitting schemes. (English) Zbl 0953.76064 J. Comput. Phys. 155, No. 1, 199-220 (1999). MSC: 76M20 76M12 76N15 65M12 PDF BibTeX XML Cite \textit{J. Gressier} et al., J. Comput. Phys. 155, No. 1, 199--220 (1999; Zbl 0953.76064) Full Text: DOI OpenURL
Junk, Michael Kinetic schemes in the case of low Mach numbers. (English) Zbl 0944.76056 J. Comput. Phys. 151, No. 2, 947-968 (1999). MSC: 76M20 76M28 76D05 76N15 76P05 PDF BibTeX XML Cite \textit{M. Junk}, J. Comput. Phys. 151, No. 2, 947--968 (1999; Zbl 0944.76056) Full Text: DOI Link OpenURL
Coquel, Frédéric; Perthame, Benoît Relaxation of energy and approximate Riemann solvers for general pressure laws in fluid dynamics. (English) Zbl 0960.76051 SIAM J. Numer. Anal. 35, No. 6, 2223-2249 (1998). Reviewer: Oleg Titow (Berlin) MSC: 76M12 76N15 PDF BibTeX XML Cite \textit{F. Coquel} and \textit{B. Perthame}, SIAM J. Numer. Anal. 35, No. 6, 2223--2249 (1998; Zbl 0960.76051) Full Text: DOI OpenURL
Harten, Ami; Engquist, Bjorn; Osher, Stanley; Chakravarthy, Sukumar R. Uniformly high order accurate essentially non-oscillatory schemes. III. (Reprint). (English) Zbl 0866.65058 J. Comput. Phys. 131, No. 1, 3-47 (1997). MSC: 65M12 65M06 35L65 PDF BibTeX XML Cite \textit{A. Harten} et al., J. Comput. Phys. 131, No. 1, 3--47 (1997; Zbl 0866.65058) Full Text: DOI OpenURL
Wada, Yasuhiro; Liou, Meng-Sing An accurate and robust flux splitting scheme for shock and contact discontinuities. (English) Zbl 0879.76064 SIAM J. Sci. Comput. 18, No. 3, 633-657 (1997). MSC: 76M20 76L05 76N10 PDF BibTeX XML Cite \textit{Y. Wada} and \textit{M.-S. Liou}, SIAM J. Sci. Comput. 18, No. 3, 633--657 (1997; Zbl 0879.76064) Full Text: DOI OpenURL
Ball, G. J. A free-Lagrange method for unsteady compressible flow: Simulation of a confined cylindrical blast wave. (English) Zbl 0881.76059 Shock Waves 5, No. 5, 311-325 (1996). Reviewer: A.I.Tolstykh (Moskva) MSC: 76M20 76L05 PDF BibTeX XML Cite \textit{G. J. Ball}, Shock Waves 5, No. 5, 311--325 (1996; Zbl 0881.76059) Full Text: DOI OpenURL
Klein, R. Semi-implicit extension of a Godunov-type scheme based on low Mach number asymptotics. I: One-dimensional flow. (English) Zbl 0842.76053 J. Comput. Phys. 121, No. 2, 213-237 (1995). Reviewer: E.Krause (Aachen) MSC: 76M20 76N10 PDF BibTeX XML Cite \textit{R. Klein}, J. Comput. Phys. 121, No. 2, 213--237 (1995; Zbl 0842.76053) Full Text: DOI OpenURL
Brown, D. L. An unsplit Godunov method for systems of conservation laws on curvilinear overlapping grids. (English) Zbl 0815.76052 Math. Comput. Modelling 20, No. 10-11, 29-48 (1994). MSC: 76M20 76N10 PDF BibTeX XML Cite \textit{D. L. Brown}, Math. Comput. Modelling 20, No. 10--11, 29--48 (1994; Zbl 0815.76052) Full Text: DOI OpenURL
Larini, M.; Saurel, R.; Loraud, J. C. An exact Riemann solver for detonation products. (English) Zbl 0766.76074 Shock Waves 2, No. 4, 225-236 (1992). MSC: 76M25 76L05 80A25 PDF BibTeX XML Cite \textit{M. Larini} et al., Shock Waves 2, No. 4, 225--236 (1992; Zbl 0766.76074) Full Text: DOI OpenURL
Larrouturou, B. How to preserve the mass fractions positivity when computing compressible multi-component flows. (English) Zbl 0725.76090 J. Comput. Phys. 95, No. 1, 59-84 (1991). MSC: 76T99 76N15 80A20 PDF BibTeX XML Cite \textit{B. Larrouturou}, J. Comput. Phys. 95, No. 1, 59--84 (1991; Zbl 0725.76090) Full Text: DOI OpenURL
Perthame, B. Boltzmann type schemes for gas dynamics and the entropy property. (English) Zbl 0714.76078 SIAM J. Numer. Anal. 27, No. 6, 1405-1421 (1990). MSC: 76P05 76N15 82D05 PDF BibTeX XML Cite \textit{B. Perthame}, SIAM J. Numer. Anal. 27, No. 6, 1405--1421 (1990; Zbl 0714.76078) Full Text: DOI OpenURL
Grossman, B.; Walters, R. W. Flux-split algorithms for the multi-dimensional Euler equations with real gases. (English) Zbl 0664.76095 Comput. Fluids 17, No. 1, 99-112 (1989). MSC: 76N15 65N99 76M99 PDF BibTeX XML Cite \textit{B. Grossman} and \textit{R. W. Walters}, Comput. Fluids 17, No. 1, 99--112 (1989; Zbl 0664.76095) Full Text: DOI OpenURL
Brio, M.; Wu, C. C. An upwind differencing scheme for the equations of ideal magnetohydrodynamics. (English) Zbl 0637.76125 J. Comput. Phys. 75, No. 2, 400-422 (1988). MSC: 76W05 76X05 35Q30 65Z05 76M99 PDF BibTeX XML Cite \textit{M. Brio} and \textit{C. C. Wu}, J. Comput. Phys. 75, No. 2, 400--422 (1988; Zbl 0637.76125) Full Text: DOI OpenURL
Hemker, P. W.; Spekreijse, S. P. Multiple grid and Osher’s scheme for the efficient solution of the steady Euler equations. (English) Zbl 0612.76077 Appl. Numer. Math. 2, 475-493 (1986). MSC: 76H05 76N10 76M99 76L05 PDF BibTeX XML Cite \textit{P. W. Hemker} and \textit{S. P. Spekreijse}, Appl. Numer. Math. 2, 475--493 (1986; Zbl 0612.76077) Full Text: DOI Link OpenURL
Mulder, Wim A.; van Leer, Bram Experiments with implicit upwind methods for the Euler equations. (English) Zbl 0584.76014 J. Comput. Phys. 59, 232-246 (1985). MSC: 76B10 85A05 76L05 76M99 PDF BibTeX XML Cite \textit{W. A. Mulder} and \textit{B. van Leer}, J. Comput. Phys. 59, 232--246 (1985; Zbl 0584.76014) Full Text: DOI OpenURL
van Leer, Bram Upwind-difference methods for aerodynamic problems governed by the Euler equations. (English) Zbl 0582.76065 Large-scale computations in fluid mechanics, Proc. 15th AMS-SIAM Summer Semin. Appl. Math., La Jolla/Calif. 1983, Lect. Appl. Math. 22, Pt. 2, 327-336 (1985). MSC: 76H05 76M99 65N06 PDF BibTeX XML OpenURL
Davis, Stephen F. A rotationally biased upwind difference scheme for the Euler equations. (English) Zbl 0557.76067 J. Comput. Phys. 56, 65-92 (1984). MSC: 76L05 76M99 76N15 PDF BibTeX XML Cite \textit{S. F. Davis}, J. Comput. Phys. 56, 65--92 (1984; Zbl 0557.76067) Full Text: DOI OpenURL
van Leer, Bram On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher and Roe. (English) Zbl 0547.65065 SIAM J. Sci. Stat. Comput. 5, 1-20 (1984). Reviewer: I.N.Molčanov MSC: 65M12 35L65 35Q99 PDF BibTeX XML Cite \textit{B. van Leer}, SIAM J. Sci. Stat. Comput. 5, 1--20 (1984; Zbl 0547.65065) Full Text: DOI OpenURL