Bourgeois, Rémi; Tremblin, Pascal; Kokh, Samuel; Padioleau, Thomas Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-projection-type method for gas dynamics. (English) Zbl 07807996 J. Comput. Phys. 496, Article ID 112594, 36 p. (2024). MSC: 76Mxx 65Mxx 35Lxx PDFBibTeX XMLCite \textit{R. Bourgeois} et al., J. Comput. Phys. 496, Article ID 112594, 36 p. (2024; Zbl 07807996) Full Text: DOI arXiv
Neoh, S. S.; Ismail, F. Time-explicit numerical methods for Maxwell’s equation in second-order form. (English) Zbl 1464.78015 Appl. Math. Comput. 392, Article ID 125669, 32 p. (2021). MSC: 78M12 78M20 78A50 78A45 65M08 65M06 35L05 PDFBibTeX XMLCite \textit{S. S. Neoh} and \textit{F. Ismail}, Appl. Math. Comput. 392, Article ID 125669, 32 p. (2021; Zbl 1464.78015) Full Text: DOI
Calgaro, Caterina; Colin, Claire; Creusé, Emmanuel A combined finite volume – finite element scheme for a low-Mach system involving a Joule term. (English) Zbl 1484.76062 AIMS Math. 5, No. 1, 311-331 (2020). MSC: 76N15 76M12 76M10 35Q35 65M08 65M60 PDFBibTeX XMLCite \textit{C. Calgaro} et al., AIMS Math. 5, No. 1, 311--331 (2020; Zbl 1484.76062) Full Text: DOI
Roe, Philip My way: a computational autobiography. (English) Zbl 1476.76002 Commun. Appl. Math. Comput. 2, No. 3, 321-340 (2020). MSC: 76-03 01A70 35A30 35F40 35F55 35Q35 65N06 65N80 PDFBibTeX XMLCite \textit{P. Roe}, Commun. Appl. Math. Comput. 2, No. 3, 321--340 (2020; Zbl 1476.76002) Full Text: DOI
Hernandez-Duenas, Gerardo; Velasco-García, Ulises; Velasco-Hernández, Jorge X. A positivity-preserving central-upwind scheme for isentropic two-phase flows through deviated pipes. (English) Zbl 1431.35088 ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1433-1457 (2019). MSC: 35L65 76M12 65M08 76T25 PDFBibTeX XMLCite \textit{G. Hernandez-Duenas} et al., ESAIM, Math. Model. Numer. Anal. 53, No. 5, 1433--1457 (2019; Zbl 1431.35088) Full Text: DOI
Jagtap, Ameya D. Method of relaxed streamline upwinding for hyperbolic conservation laws. (English) Zbl 1469.65148 Wave Motion 78, 132-161 (2018). MSC: 65M60 35L65 65M15 76B15 PDFBibTeX XMLCite \textit{A. D. Jagtap}, Wave Motion 78, 132--161 (2018; Zbl 1469.65148) Full Text: DOI arXiv
Roe, Philip Is discontinuous reconstruction really a good idea? (English) Zbl 1381.65073 J. Sci. Comput. 73, No. 2-3, 1094-1114 (2017). MSC: 65M08 35L65 76N15 65M60 35L05 PDFBibTeX XMLCite \textit{P. Roe}, J. Sci. Comput. 73, No. 2--3, 1094--1114 (2017; Zbl 1381.65073) Full Text: DOI
Abgrall, Rémi; Viville, Q.; Beaugendre, H.; Dobrzynski, C. Construction of a \(p\)-adaptive continuous residual distribution scheme. (English) Zbl 1383.65138 J. Sci. Comput. 72, No. 3, 1232-1268 (2017). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65N30 35J60 PDFBibTeX XMLCite \textit{R. Abgrall} et al., J. Sci. Comput. 72, No. 3, 1232--1268 (2017; Zbl 1383.65138) Full Text: DOI
Morin, Alexandre; Flåtten, Tore A two-fluid four-equation model with instantaneous thermodynamical equilibrium. (English) Zbl 1346.76196 ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1167-1192 (2016). MSC: 76T10 35L65 PDFBibTeX XMLCite \textit{A. Morin} and \textit{T. Flåtten}, ESAIM, Math. Model. Numer. Anal. 50, No. 4, 1167--1192 (2016; Zbl 1346.76196) Full Text: DOI
Dobeš, Jiří; Ricchiuto, Mario; Abgrall, Rémi; Deconinck, Herman On hybrid residual distribution-Galerkin discretizations for steady and time dependent viscous laminar flows. (English) Zbl 1423.76225 Comput. Methods Appl. Mech. Eng. 283, 1336-1356 (2015). MSC: 76M10 65N30 35Q35 76D99 PDFBibTeX XMLCite \textit{J. Dobeš} et al., Comput. Methods Appl. Mech. Eng. 283, 1336--1356 (2015; Zbl 1423.76225) Full Text: DOI
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 PDFBibTeX XMLCite \textit{J. C. Mandal} and \textit{V. Sharma}, J. Comput. Phys. 297, 669--688 (2015; Zbl 1349.76630) Full Text: DOI
Warzyński, Andrzej; Hubbard, Matthew E.; Ricchiuto, Mario Runge-Kutta residual distribution schemes. (English) Zbl 1319.65093 J. Sci. Comput. 62, No. 3, 772-802 (2015). MSC: 65M20 35L65 65M60 65L06 PDFBibTeX XMLCite \textit{A. Warzyński} et al., J. Sci. Comput. 62, No. 3, 772--802 (2015; Zbl 1319.65093) Full Text: DOI
Arpaia, L.; Ricchiuto, M.; Abgrall, R. An ALE formulation for explicit Runge-Kutta residual distribution. (English) Zbl 1318.65047 J. Sci. Comput. 63, No. 2, 502-547 (2015). MSC: 65M06 35L65 65M50 65M60 65M12 PDFBibTeX XMLCite \textit{L. Arpaia} et al., J. Sci. Comput. 63, No. 2, 502--547 (2015; Zbl 1318.65047) Full Text: DOI
Toro, E. F.; Vázquez-Cendón, M. E. Flux splitting schemes for the Euler equations. (English) Zbl 1365.76243 Comput. Fluids 70, 1-12 (2012). MSC: 76M25 35Q31 65M99 76B15 PDFBibTeX XMLCite \textit{E. F. Toro} and \textit{M. E. Vázquez-Cendón}, Comput. Fluids 70, 1--12 (2012; Zbl 1365.76243) Full Text: DOI
Avila, Matias; Principe, Javier; Codina, Ramon A finite element dynamical nonlinear subscale approximation for the low Mach number flow equations. (English) Zbl 1408.76339 J. Comput. Phys. 230, No. 22, 7988-8009 (2011). MSC: 76G25 76M10 35Q35 65M60 PDFBibTeX XMLCite \textit{M. Avila} et al., J. Comput. Phys. 230, No. 22, 7988--8009 (2011; Zbl 1408.76339) Full Text: DOI Link
Vymazal, Martin; Quintino, Tiago; Villedieu, Nadège; Deconinck, Herman High-order upwind residual distribution schemes on isoparametric curved elements. (English) Zbl 1210.65170 J. Comput. Phys. 230, No. 4, 890-906 (2011). MSC: 65M60 35L65 PDFBibTeX XMLCite \textit{M. Vymazal} et al., J. Comput. Phys. 230, No. 4, 890--906 (2011; Zbl 1210.65170) Full Text: DOI
Thum, P.; Clees, T.; Weyns, G.; Nelissen, G.; Deconinck, J. Efficient algebraic multigrid for migration-diffusion-convection-reaction systems arising in electrochemical simulations. (English) Zbl 1197.78054 J. Comput. Phys. 229, No. 19, 7260-7276 (2010). MSC: 78A57 35K57 65M60 65M55 65F10 65F08 65H10 PDFBibTeX XMLCite \textit{P. Thum} et al., J. Comput. Phys. 229, No. 19, 7260--7276 (2010; Zbl 1197.78054) Full Text: DOI
Park, Hyeongkae; Nourgaliev, Robert R.; Martineau, Richard C.; Knoll, Dana A. On physics-based preconditioning of the Navier-Stokes equations. (English) Zbl 1395.65028 J. Comput. Phys. 228, No. 24, 9131-9146 (2009). MSC: 65M06 65F08 35Q30 PDFBibTeX XMLCite \textit{H. Park} et al., J. Comput. Phys. 228, No. 24, 9131--9146 (2009; Zbl 1395.65028) Full Text: DOI
Ricchiuto, M.; Villedieu, N.; Abgrall, R.; Deconinck, H. On uniformly high-order accurate residual distribution schemes for advection-diffusion. (English) Zbl 1138.65103 J. Comput. Appl. Math. 215, No. 2, 547-556 (2008). MSC: 65N30 35J25 65N50 65N12 PDFBibTeX XMLCite \textit{M. Ricchiuto} et al., J. Comput. Appl. Math. 215, No. 2, 547--556 (2008; Zbl 1138.65103) Full Text: DOI
Nishikawa, Hiroaki A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes. (English) Zbl 1127.65062 J. Comput. Phys. 227, No. 1, 315-352 (2007). MSC: 65M06 35K05 35L45 65M50 PDFBibTeX XMLCite \textit{H. Nishikawa}, J. Comput. Phys. 227, No. 1, 315--352 (2007; Zbl 1127.65062) Full Text: DOI
Chou, Ching-Shan; Shu, Chi-Wang High order residual distribution conservative finite difference WENO schemes for convection-diffusion steady state problems on non-smooth meshes. (English) Zbl 1119.65078 J. Comput. Phys. 224, No. 2, 992-1020 (2007). Reviewer: Nicolae Pop (Baia Mare) MSC: 65M06 35K15 65M12 76M20 PDFBibTeX XMLCite \textit{C.-S. Chou} and \textit{C.-W. Shu}, J. Comput. Phys. 224, No. 2, 992--1020 (2007; Zbl 1119.65078) Full Text: DOI
Rossiello, G.; De Palma, P.; Pascazio, G.; Napolitano, M. Third-order-accurate fluctuation splitting schemes for unsteady hyperbolic problems. (English) Zbl 1110.65084 J. Comput. Phys. 222, No. 1, 332-352 (2007). MSC: 65M06 35L65 PDFBibTeX XMLCite \textit{G. Rossiello} et al., J. Comput. Phys. 222, No. 1, 332--352 (2007; Zbl 1110.65084) Full Text: DOI
De Palma, P.; Pascazio, G.; Rubino, D. T.; Napolitano, M. Residual distribution schemes for advection and advection–diffusion problems on quadrilateral cells. (English) Zbl 1104.65090 J. Comput. Phys. 218, No. 1, 159-199 (2006). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65M15 35L65 65M12 65M06 PDFBibTeX XMLCite \textit{P. De Palma} et al., J. Comput. Phys. 218, No. 1, 159--199 (2006; Zbl 1104.65090) Full Text: DOI
Evje, Steinar; Flåtten, Tore Hybrid central-upwind schemes for numerical resolution of two-phase flows. (English) Zbl 1130.76057 ESAIM, Math. Model. Numer. Anal. 39, No. 2, 253-273 (2005). MSC: 76M20 76N10 76T10 65M06 35L65 PDFBibTeX XMLCite \textit{S. Evje} and \textit{T. Flåtten}, ESAIM, Math. Model. Numer. Anal. 39, No. 2, 253--273 (2005; Zbl 1130.76057) Full Text: DOI Numdam EuDML
De Palma, P.; Pascazio, G.; Rossiello, G.; Napolitano, M. A second-order-accurate monotone implicit fluctuation splitting scheme for unsteady problems. (English) Zbl 1115.76383 J. Comput. Phys. 208, No. 1, 1-33 (2005). MSC: 76M25 35L99 PDFBibTeX XMLCite \textit{P. De Palma} et al., J. Comput. Phys. 208, No. 1, 1--33 (2005; Zbl 1115.76383) Full Text: DOI
Ricchiuto, Mario; Csík, Árpád; Deconinck, Herman Residual distribution for general time-dependent conservation laws. (English) Zbl 1329.65228 J. Comput. Phys. 209, No. 1, 249-289 (2005). MSC: 65M60 65M06 35L65 PDFBibTeX XMLCite \textit{M. Ricchiuto} et al., J. Comput. Phys. 209, No. 1, 249--289 (2005; Zbl 1329.65228) Full Text: DOI
Kuzmin, D.; Turek, S. High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter. (English) Zbl 1107.76352 J. Comput. Phys. 198, No. 1, 131-158 (2004). MSC: 76M10 65M60 35L65 PDFBibTeX XMLCite \textit{D. Kuzmin} and \textit{S. Turek}, J. Comput. Phys. 198, No. 1, 131--158 (2004; Zbl 1107.76352) Full Text: DOI
Evje, Steinar; Flåtten, Tore Hybrid flux-splitting schemes for a common two-fluid model. (English) Zbl 1032.76696 J. Comput. Phys. 192, No. 1, 175-210 (2003). MSC: 76T10 76N10 65M12 35L65 PDFBibTeX XMLCite \textit{S. Evje} and \textit{T. Flåtten}, J. Comput. Phys. 192, No. 1, 175--210 (2003; Zbl 1032.76696) Full Text: DOI
Csík, Árpád; Ricchiuto, Mario; Deconinck, Herman A conservative formulation of the multidimensional upwind residual distribution schemes for general nonlinear conservation laws. (English) Zbl 1005.65111 J. Comput. Phys. 179, No. 1, 286-312 (2002). MSC: 65M60 35L65 76M10 76W05 PDFBibTeX XMLCite \textit{Á. Csík} et al., J. Comput. Phys. 179, No. 1, 286--312 (2002; Zbl 1005.65111) Full Text: DOI
Noelle, Sebastian The MoT-ICE: A new high-resolution wave-propagation algorithm for multidimensional systems of conservation laws based on Fey’s method of transport. (English) Zbl 0967.65100 J. Comput. Phys. 164, No. 2, 283-334 (2000). Reviewer: Plamen Yordanov Yalamov (Russe) MSC: 65M25 65M12 35L65 PDFBibTeX XMLCite \textit{S. Noelle}, J. Comput. Phys. 164, No. 2, 283--334 (2000; Zbl 0967.65100) Full Text: DOI Link
Barth, Timothy J.; Sethian, James A. Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains. (English) Zbl 0911.65091 J. Comput. Phys. 145, No. 1, 1-40 (1998). Reviewer: Th.Sonar (Hamburg) MSC: 65M60 35L15 PDFBibTeX XMLCite \textit{T. J. Barth} and \textit{J. A. Sethian}, J. Comput. Phys. 145, No. 1, 1--40 (1998; Zbl 0911.65091) Full Text: DOI