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Castro Díaz, Manuel J. (ed.); Després, Bruno (ed.); Dumbser, Michael (ed.); Klingenberg, Christian (ed.) Structure-preserving discretizations for nonlinear systems of hyperbolic, involution-constrained partial differential equations on manifolds. Abstracts from the workshop held April 10–16, 2022. (English) Zbl 1519.00016 Oberwolfach Rep. 19, No. 2, 979-1037 (2022). MSC: 00B05 00B25 35-06 35L45 35L65 58J45 65M06 65M08 65M12 65M25 65M60 74C20 76W05 76M12 78M10 78M12 83C05 83C22 PDFBibTeX XMLCite \textit{M. J. Castro Díaz} (ed.) et al., Oberwolfach Rep. 19, No. 2, 979--1037 (2022; Zbl 1519.00016) Full Text: DOI
Morel, Benoit; Giust, Remo; Ardaneh, Kazem; Courvoisier, Francois A simple solver for the two-fluid plasma model based on pseudospectral time-domain algorithm. (English) Zbl 1528.65090 Commun. Comput. Phys. 29, No. 3, 955-978 (2021). MSC: 65M70 65M06 65L06 65N35 65T50 76X05 76T06 78A60 82D10 82C40 35L02 35L03 35Q61 35Q31 PDFBibTeX XMLCite \textit{B. Morel} et al., Commun. Comput. Phys. 29, No. 3, 955--978 (2021; Zbl 1528.65090) 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
Bychin, I. V.; Gorelikov, A. V.; Ryakhovskiĭ, A. V. Numerical solution of the initial boundary value problem with vacuum boundary conditions for the magnetic field induction equation in a ball. (Russian. English summary) Zbl 1524.78083 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2020, No. 64, 15-30 (2020). MSC: 78M20 78M12 65M08 65M06 65N08 65N50 78A25 76W05 35Q60 PDFBibTeX XMLCite \textit{I. V. Bychin} et al., Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2020, No. 64, 15--30 (2020; Zbl 1524.78083) Full Text: DOI MNR
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Derigs, Dominik; Gassner, Gregor J.; Walch, Stefanie; Winters, Andrew R. Entropy stable finite volume approximations for ideal magnetohydrodynamics. (English) Zbl 1447.78020 Jahresber. Dtsch. Math.-Ver. 120, No. 3, 153-219 (2018); correction ibid. 120, No. 4, 291-292 (2018). Reviewer: Balswaroop Bhatt (St. Augustine) MSC: 78M99 76W05 PDFBibTeX XMLCite \textit{D. Derigs} et al., Jahresber. Dtsch. Math.-Ver. 120, No. 3, 153--219 (2018; Zbl 1447.78020) Full Text: DOI arXiv Link
Yang, He; Li, Fengyan Stability analysis and error estimates of an exactly divergence-free method for the magnetic induction equations. (English) Zbl 1348.78028 ESAIM, Math. Model. Numer. Anal. 50, No. 4, 965-993 (2016). Reviewer: Teodora-Liliana Rădulescu (Craiova) MSC: 78M25 65M60 65M15 65M06 65M12 35Q60 35L50 PDFBibTeX XMLCite \textit{H. Yang} and \textit{F. Li}, ESAIM, Math. Model. Numer. Anal. 50, No. 4, 965--993 (2016; Zbl 1348.78028) Full Text: DOI Link
Bui-Thanh, Tan From Godunov to a unified hybridized discontinuous Galerkin framework for partial differential equations. (English) Zbl 1349.76183 J. Comput. Phys. 295, 114-146 (2015). MSC: 76M10 74S05 65N30 35F45 35L50 76D07 76Nxx 78M25 PDFBibTeX XMLCite \textit{T. Bui-Thanh}, J. Comput. Phys. 295, 114--146 (2015; Zbl 1349.76183) Full Text: DOI
Christlieb, Andrew J.; Rossmanith, James A.; Tang, Qi Finite difference weighted essentially non-oscillatory schemes with constrained transport for ideal magnetohydrodynamics. (English) Zbl 1349.76442 J. Comput. Phys. 268, 302-325 (2014). MSC: 76M20 65M06 65M12 76W05 78A25 PDFBibTeX XMLCite \textit{A. J. Christlieb} et al., J. Comput. Phys. 268, 302--325 (2014; Zbl 1349.76442) Full Text: DOI arXiv
Ivan, Lucian; De Sterck, Hans; Northrup, Scott A.; Groth, Clinton P. T. Multi-dimensional finite-volume scheme for hyperbolic conservation laws on three-dimensional solution-adaptive cubed-sphere grids. (English) Zbl 1349.76340 J. Comput. Phys. 255, 205-227 (2013). MSC: 76M12 65M08 65M50 76W05 78A25 PDFBibTeX XMLCite \textit{L. Ivan} et al., J. Comput. Phys. 255, 205--227 (2013; Zbl 1349.76340) Full Text: DOI
Sitaraman, H.; Raja, L. L. A matrix free implicit scheme for solution of resistive magneto-hydrodynamics equations on unstructured grids. (English) Zbl 1349.76533 J. Comput. Phys. 251, 364-382 (2013). MSC: 76M20 78M20 76M12 78M12 78A25 65M08 76W05 PDFBibTeX XMLCite \textit{H. Sitaraman} and \textit{L. L. Raja}, J. Comput. Phys. 251, 364--382 (2013; Zbl 1349.76533) Full Text: DOI
Susanto, A.; Ivan, L.; De Sterck, H.; Groth, C. P. T. High-order central ENO finite-volume scheme for ideal MHD. (English) Zbl 1349.65583 J. Comput. Phys. 250, 141-164 (2013). MSC: 65N08 78M12 78A40 78A30 PDFBibTeX XMLCite \textit{A. Susanto} et al., J. Comput. Phys. 250, 141--164 (2013; Zbl 1349.65583) Full Text: DOI
Wong, Joseph S. H.; Jansen, Kenneth E. Residual distribution finite element method for convection-dominated problems. (English) Zbl 1354.78014 Comput. Methods Appl. Mech. Eng. 245-246, 232-242 (2012). MSC: 78M10 65M60 PDFBibTeX XMLCite \textit{J. S. H. Wong} and \textit{K. E. Jansen}, Comput. Methods Appl. Mech. Eng. 245--246, 232--242 (2012; Zbl 1354.78014) Full Text: DOI
Anderson, W. Kyle; Wang, Li; Kapadia, Sagar; Tanis, Craig; Hilbert, Bruce Petrov-Galerkin and discontinuous-Galerkin methods for time-domain and frequency-domain electromagnetic simulations. (English) Zbl 1241.78041 J. Comput. Phys. 230, No. 23, 8360-8385 (2011). MSC: 78M10 78A50 PDFBibTeX XMLCite \textit{W. K. Anderson} et al., J. Comput. Phys. 230, No. 23, 8360--8385 (2011; Zbl 1241.78041) Full Text: DOI
Sekora, Michael D. Extending a hybrid Godunov method for radiation hydrodynamics to multiple dimensions. (English) Zbl 1419.76462 Int. J. Mod. Phys. C 22, No. 5, 457-481 (2011). MSC: 76M12 76N15 78A40 PDFBibTeX XMLCite \textit{M. D. Sekora}, Int. J. Mod. Phys. C 22, No. 5, 457--481 (2011; Zbl 1419.76462) Full Text: DOI arXiv
Mishra, Siddhartha; Svärd, Magnus On stability of numerical schemes via frozen coefficients and the magnetic induction equations. (English) Zbl 1205.65248 BIT 50, No. 1, 85-108 (2010). Reviewer: Weizhong Dai (Ruston) MSC: 65M12 65M06 35L53 78M20 PDFBibTeX XMLCite \textit{S. Mishra} and \textit{M. Svärd}, BIT 50, No. 1, 85--108 (2010; Zbl 1205.65248) Full Text: DOI
Fuchs, Franz G.; Karlsen, Kenneth H.; Mishra, Siddharta; Risebro, Nils H. Stable upwind schemes for the magnetic induction equation. (English) Zbl 1177.78057 ESAIM, Math. Model. Numer. Anal. 43, No. 5, 825-852 (2009). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 78M20 65M12 35L65 76W05 PDFBibTeX XMLCite \textit{F. G. Fuchs} et al., ESAIM, Math. Model. Numer. Anal. 43, No. 5, 825--852 (2009; Zbl 1177.78057) Full Text: DOI EuDML
Davies, R. W.; Morgan, K.; Hassan, O. A high order hybrid finite element method applied to the solution of electromagnetic wave scattering problems in the time domain. (English) Zbl 1183.78034 Comput. Mech. 44, No. 3, 321-331 (2009). Reviewer: Xavier Antoine (Vandœuvre-lès-Nancy) MSC: 78M10 78M22 78A45 65M60 65L06 PDFBibTeX XMLCite \textit{R. W. Davies} et al., Comput. Mech. 44, No. 3, 321--331 (2009; Zbl 1183.78034) Full Text: DOI
Koley, Ujjwal; Mishra, Siddhartha; Risebro, Nils Henrik; Svärd, Magnus Higher order finite difference schemes for the magnetic induction equations. (English) Zbl 1168.78317 BIT 49, No. 2, 375-395 (2009). MSC: 78M20 35L65 65M06 65M12 PDFBibTeX XMLCite \textit{U. Koley} et al., BIT 49, No. 2, 375--395 (2009; Zbl 1168.78317) Full Text: DOI arXiv Link
Martin, A.; Reggio, M.; Trépanier, J.-Y. Numerical solution of axisymmetric multi-species compressible gas flow: towards improved circuit breaker simulation. (English) Zbl 1184.76747 Int. J. Comput. Fluid Dyn. 22, No. 4, 259-271 (2008). MSC: 76M12 76N15 76L05 78A55 PDFBibTeX XMLCite \textit{A. Martin} et al., Int. J. Comput. Fluid Dyn. 22, No. 4, 259--271 (2008; Zbl 1184.76747) Full Text: DOI
Piqueras, L.; Henry, D.; Jeandel, D.; Scott, J.; Wild, J. Three-dimensional modelling of electric-arc development in a low-voltage circuit-breaker. (English) Zbl 1154.80339 Int. J. Heat Mass Transfer 51, No. 19-20, 4973-4984 (2008). MSC: 80A20 78A25 76D05 76R05 76M10 76M12 PDFBibTeX XMLCite \textit{L. Piqueras} et al., Int. J. Heat Mass Transfer 51, No. 19--20, 4973--4984 (2008; Zbl 1154.80339) Full Text: DOI
Liu, Yen; Vinokur, Marcel; Wang, Z. J. Spectral difference method for unstructured grids. I. Basic formulation. (English) Zbl 1097.65089 J. Comput. Phys. 216, No. 2, 780-801 (2006). MSC: 65M06 65M70 35L65 35L05 35Q60 78A25 78M25 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Comput. Phys. 216, No. 2, 780--801 (2006; Zbl 1097.65089) Full Text: DOI
Liu, Yen; Vinokur, Marcel; Wang, Z. J. Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems. (English) Zbl 1085.65099 J. Comput. Phys. 212, No. 2, 454-472 (2006). MSC: 65M70 65M06 35L65 65M50 35Q40 78A25 PDFBibTeX XMLCite \textit{Y. Liu} et al., J. Comput. Phys. 212, No. 2, 454--472 (2006; Zbl 1085.65099) Full Text: DOI
Lee, Y. J.; Munz, C.-D.; Schneider, R. Lagrangian and symmetry structure of the divergence cleaning model based on generalized Lagrange multipliers. (English) Zbl 1083.70025 Int. J. Mod. Phys. C 15, No. 1, 59-114 (2004). MSC: 70S05 76W05 76X05 78A30 PDFBibTeX XMLCite \textit{Y. J. Lee} et al., Int. J. Mod. Phys. C 15, No. 1, 59--114 (2004; Zbl 1083.70025) Full Text: DOI
Ripoll, J.-F.; Dubroca, B.; Duffa, G. Modelling radiative mean absorption coefficients. (English) Zbl 1021.78002 Combust. Theory Model. 5, No. 3, 261-274 (2001). MSC: 78A40 82B30 PDFBibTeX XMLCite \textit{J. F. Ripoll} et al., Combust. Theory Model. 5, No. 3, 261--274 (2001; Zbl 1021.78002) Full Text: DOI
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