Hou, Thomas Y. Potentially singular behavior of the 3D Navier-Stokes equations. (English) Zbl 07781558 Found. Comput. Math. 23, No. 6, 2251-2299 (2023). MSC: 35Q30 76D03 65N06 65L06 65N50 35B07 35B44 35C06 35B65 76D05 PDFBibTeX XMLCite \textit{T. Y. Hou}, Found. Comput. Math. 23, No. 6, 2251--2299 (2023; Zbl 07781558) Full Text: DOI arXiv
Hou, Thomas Y. Potential singularity of the 3D Euler equations in the interior domain. (English) Zbl 07781557 Found. Comput. Math. 23, No. 6, 2203-2249 (2023). MSC: 35Q31 35Q30 76B03 76D05 35B07 35B44 35C06 35A21 65N06 65L06 PDFBibTeX XMLCite \textit{T. Y. Hou}, Found. Comput. Math. 23, No. 6, 2203--2249 (2023; Zbl 07781557) Full Text: DOI arXiv
Carrillo, José A.; Craig, Katy; Wang, Li; Wei, Chaozhen Primal dual methods for Wasserstein gradient flows. (English) Zbl 07533993 Found. Comput. Math. 22, No. 2, 389-443 (2022). MSC: 65-XX 35A15 47J25 47J35 49M29 65K10 82B21 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Found. Comput. Math. 22, No. 2, 389--443 (2022; Zbl 07533993) Full Text: DOI arXiv
Berchenko-Kogan, Yakov; Stern, Ari Constraint-preserving hybrid finite element methods for Maxwell’s equations. (English) Zbl 1478.78069 Found. Comput. Math. 21, No. 4, 1075-1098 (2021). MSC: 78M10 78M20 78M50 65M60 65M06 65N30 65L06 65P10 65M55 65N25 49M41 35Q61 PDFBibTeX XMLCite \textit{Y. Berchenko-Kogan} and \textit{A. Stern}, Found. Comput. Math. 21, No. 4, 1075--1098 (2021; Zbl 1478.78069) Full Text: DOI arXiv
Gawlik, Evan S.; Gay-Balmaz, François A variational finite element discretization of compressible flow. (English) Zbl 1506.65153 Found. Comput. Math. 21, No. 4, 961-1001 (2021). Reviewer: Jan Giesselmann (Darmstadt) MSC: 65M60 76N10 76M10 76M60 37K06 37K65 37M15 35Q35 PDFBibTeX XMLCite \textit{E. S. Gawlik} and \textit{F. Gay-Balmaz}, Found. Comput. Math. 21, No. 4, 961--1001 (2021; Zbl 1506.65153) Full Text: DOI arXiv
Lanthaler, Samuel; Mishra, Siddhartha On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data. (English) Zbl 1454.65125 Found. Comput. Math. 20, No. 5, 1309-1362 (2020). MSC: 65M70 65L06 65M12 35D30 76B47 35Q31 PDFBibTeX XMLCite \textit{S. Lanthaler} and \textit{S. Mishra}, Found. Comput. Math. 20, No. 5, 1309--1362 (2020; Zbl 1454.65125) Full Text: DOI arXiv
Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions. (English) Zbl 1447.65050 Found. Comput. Math. 20, No. 4, 923-966 (2020). MSC: 65M08 65M12 76N10 35L65 35R06 35Q31 PDFBibTeX XMLCite \textit{E. Feireisl} et al., Found. Comput. Math. 20, No. 4, 923--966 (2020; Zbl 1447.65050) Full Text: DOI arXiv
Fjordholm, Ulrik S.; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws. (English) Zbl 1371.65080 Found. Comput. Math. 17, No. 3, 763-827 (2017). Reviewer: Abdallah Bradji (Annaba) MSC: 65M06 35L65 35R06 65M12 PDFBibTeX XMLCite \textit{U. S. Fjordholm} et al., Found. Comput. Math. 17, No. 3, 763--827 (2017; Zbl 1371.65080) Full Text: DOI arXiv
Hairer, Ernst; Iserles, Arieh Numerical stability in the presence of variable coefficients. (English) Zbl 1347.65144 Found. Comput. Math. 16, No. 3, 751-777 (2016). Reviewer: K. N. Shukla (Gurgaon) MSC: 65M12 65D25 65M06 35K20 PDFBibTeX XMLCite \textit{E. Hairer} and \textit{A. Iserles}, Found. Comput. Math. 16, No. 3, 751--777 (2016; Zbl 1347.65144) Full Text: DOI
Adcock, Ben; Huybrechs, Daan; Martín-Vaquero, Jesús On the numerical stability of Fourier extensions. (English) Zbl 1298.65198 Found. Comput. Math. 14, No. 4, 635-687 (2014). Reviewer: Manfred Tasche (Rostock) MSC: 65T40 42A10 42C15 65F22 PDFBibTeX XMLCite \textit{B. Adcock} et al., Found. Comput. Math. 14, No. 4, 635--687 (2014; Zbl 1298.65198) Full Text: DOI arXiv Link
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan ENO reconstruction and ENO interpolation are stable. (English) Zbl 1273.65120 Found. Comput. Math. 13, No. 2, 139-159 (2013). Reviewer: Martina Wirz (Braunschweig) MSC: 65M12 65M06 65D05 35L65 PDFBibTeX XMLCite \textit{U. S. Fjordholm} et al., Found. Comput. Math. 13, No. 2, 139--159 (2013; Zbl 1273.65120) Full Text: DOI arXiv
Mullen, P.; McKenzie, A.; Pavlov, D.; Durant, L.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M. Discrete Lie advection of differential forms. (English) Zbl 1222.35010 Found. Comput. Math. 11, No. 2, 131-149, 151 (2011). MSC: 35A35 51P05 65M08 35L65 PDFBibTeX XMLCite \textit{P. Mullen} et al., Found. Comput. Math. 11, No. 2, 131--149, 151 (2011; Zbl 1222.35010) Full Text: DOI arXiv