Lee, David An energetically balanced, quasi-Newton integrator for non-hydrostatic vertical atmospheric dynamics. (English) Zbl 07500725 J. Comput. Phys. 429, Article ID 109988, 19 p. (2021). MSC: 65Mxx 86Axx 76Mxx PDF BibTeX XML Cite \textit{D. Lee}, J. Comput. Phys. 429, Article ID 109988, 19 p. (2021; Zbl 07500725) Full Text: DOI OpenURL
Lee, D.; Palha, A. A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere. (English) Zbl 1453.86025 J. Comput. Phys. 401, Article ID 108993, 28 p. (2020). MSC: 86A10 65M60 76N15 76M10 PDF BibTeX XML Cite \textit{D. Lee} and \textit{A. Palha}, J. Comput. Phys. 401, Article ID 108993, 28 p. (2020; Zbl 1453.86025) Full Text: DOI arXiv OpenURL
Ranocha, Hendrik; Dalcin, Lisandro; Parsani, Matteo Fully discrete explicit locally entropy-stable schemes for the compressible Euler and Navier-Stokes equations. (English) Zbl 07244266 Comput. Math. Appl. 80, No. 5, 1343-1359 (2020). MSC: 65J08 76N06 76N10 PDF BibTeX XML Cite \textit{H. Ranocha} et al., Comput. Math. Appl. 80, No. 5, 1343--1359 (2020; Zbl 07244266) Full Text: DOI arXiv OpenURL
Ranocha, Hendrik; Sayyari, Mohammed; Dalcin, Lisandro; Parsani, Matteo; Ketcheson, David I. Relaxation Runge-Kutta methods: fully discrete explicit entropy-stable schemes for the compressible Euler and Navier-Stokes equations. (English) Zbl 1432.76207 SIAM J. Sci. Comput. 42, No. 2, A612-A638 (2020). MSC: 76M99 65M22 65L06 35Q30 35Q31 76N10 PDF BibTeX XML Cite \textit{H. Ranocha} et al., SIAM J. Sci. Comput. 42, No. 2, A612--A638 (2020; Zbl 1432.76207) Full Text: DOI arXiv OpenURL
Williams, David M. An analysis of discontinuous Galerkin methods for the compressible Euler equations: entropy and \(L_2\) stability. (English) Zbl 1412.65121 Numer. Math. 141, No. 4, 1079-1120 (2019). MSC: 65M12 65M60 76N99 35Q31 65M06 65L06 PDF BibTeX XML Cite \textit{D. M. Williams}, Numer. Math. 141, No. 4, 1079--1120 (2019; Zbl 1412.65121) Full Text: DOI OpenURL
Cotter, Colin; Crisan, Dan; Holm, Darryl D.; Pan, Wei; Shevchenko, Igor Numerically modeling stochastic Lie transport in fluid dynamics. (English) Zbl 1454.76064 Multiscale Model. Simul. 17, No. 1, 192-232 (2019). MSC: 76M35 35Q31 76B99 PDF BibTeX XML Cite \textit{C. Cotter} et al., Multiscale Model. Simul. 17, No. 1, 192--232 (2019; Zbl 1454.76064) Full Text: DOI arXiv OpenURL
Leonardi, Filippo A projection method for the computation of admissible measure valued solutions of the incompressible Euler equations. (English) Zbl 1407.65159 Discrete Contin. Dyn. Syst., Ser. S 11, No. 5, 941-961 (2018). MSC: 65M06 65M12 35Q31 65C05 76B99 76D05 35R06 PDF BibTeX XML Cite \textit{F. Leonardi}, Discrete Contin. Dyn. Syst., Ser. S 11, No. 5, 941--961 (2018; Zbl 1407.65159) Full Text: DOI OpenURL
Kaiser, Klaus; Schütz, Jochen A high-order method for weakly compressible flows. (English) Zbl 07414404 Commun. Comput. Phys. 22, No. 4, 1150-1174 (2017). MSC: 35Q31 65L06 65M60 76M45 PDF BibTeX XML Cite \textit{K. Kaiser} and \textit{J. Schütz}, Commun. Comput. Phys. 22, No. 4, 1150--1174 (2017; Zbl 07414404) Full Text: DOI OpenURL
van Oers, Alexander M.; Maas, Leo R. M.; Bokhove, Onno Hamiltonian discontinuous Galerkin FEM for linear, stratified (in)compressible Euler equations: internal gravity waves. (English) Zbl 1380.65422 J. Comput. Phys. 330, 770-793 (2017). MSC: 65P10 65M60 76B15 76M10 PDF BibTeX XML Cite \textit{A. M. van Oers} et al., J. Comput. Phys. 330, 770--793 (2017; Zbl 1380.65422) Full Text: DOI OpenURL
Kaiser, Klaus; Schütz, Jochen; Schöbel, Ruth; Noelle, Sebastian A new stable splitting for the isentropic Euler equations. (English) Zbl 1367.35114 J. Sci. Comput. 70, No. 3, 1390-1407 (2017). MSC: 35Q31 35L65 35B25 76M45 76N99 65M08 PDF BibTeX XML Cite \textit{K. Kaiser} et al., J. Sci. Comput. 70, No. 3, 1390--1407 (2017; Zbl 1367.35114) Full Text: DOI Link OpenURL
Otte, Philipp; Frank, Martin Derivation and analysis of lattice Boltzmann schemes for the linearized Euler equations. (English) Zbl 1357.76070 Comput. Math. Appl. 72, No. 2, 311-327 (2016). MSC: 76M28 76M12 76D05 PDF BibTeX XML Cite \textit{P. Otte} and \textit{M. Frank}, Comput. Math. Appl. 72, No. 2, 311--327 (2016; Zbl 1357.76070) Full Text: DOI arXiv OpenURL
Ghosh, Debojyoti; Constantinescu, Emil M. Semi-implicit time integration of atmospheric flows with characteristic-based flux partitioning. (English) Zbl 1419.76478 SIAM J. Sci. Comput. 38, No. 3, A1848-A1875 (2016). MSC: 76M20 76N15 65M06 86A10 PDF BibTeX XML Cite \textit{D. Ghosh} and \textit{E. M. Constantinescu}, SIAM J. Sci. Comput. 38, No. 3, A1848--A1875 (2016; Zbl 1419.76478) Full Text: DOI arXiv OpenURL
van Criekingen, Serge; Audit, Edouard; Vides, Jeaniffer; Braconnier, Benjamin Time-implicit hydrodynamics for Euler flows. (English. French summary) Zbl 1334.76095 ESAIM, Proc. Surv. 45, 290-299 (2014). MSC: 76M20 65M06 35Q31 PDF BibTeX XML Cite \textit{S. van Criekingen} et al., ESAIM, Proc. Surv. 45, 290--299 (2014; Zbl 1334.76095) Full Text: DOI OpenURL
Nurijanyan, S.; van der Vegt, J. J. W.; Bokhove, O. Hamiltonian discontinuous Galerkin FEM for linear, rotating incompressible Euler equations: inertial waves. (English) Zbl 1349.76249 J. Comput. Phys. 241, 502-525 (2013). MSC: 76M10 76U05 35Q31 PDF BibTeX XML Cite \textit{S. Nurijanyan} et al., J. Comput. Phys. 241, 502--525 (2013; Zbl 1349.76249) Full Text: DOI Link OpenURL
Bassi, F.; Botti, L.; Colombo, A.; Rebay, S. Agglomeration based discontinuous Galerkin discretization of the Euler and Navier-Stokes equations. (English) Zbl 1365.76109 Comput. Fluids 61, 77-85 (2012). MSC: 76M10 65M60 76D05 35Q30 35Q31 PDF BibTeX XML Cite \textit{F. Bassi} et al., Comput. Fluids 61, 77--85 (2012; Zbl 1365.76109) Full Text: DOI OpenURL
Balan, Aravind; May, Georg; Schöberl, Joachim A stable high-order spectral difference method for hyperbolic conservation laws on triangular elements. (English) Zbl 1242.65155 J. Comput. Phys. 231, No. 5, 2359-2375 (2012). MSC: 65M06 65M12 35L65 65M60 76N15 76M20 65M20 65L06 PDF BibTeX XML Cite \textit{A. Balan} et al., J. Comput. Phys. 231, No. 5, 2359--2375 (2012; Zbl 1242.65155) Full Text: DOI OpenURL
Kirk, Benjamin S. Adiabatic shock capturing in perfect gas hypersonic flows. (English) Zbl 1427.76133 Int. J. Numer. Methods Fluids 64, No. 9, 1041-1062 (2010). MSC: 76M10 76L05 76K05 76N15 35Q30 35Q31 PDF BibTeX XML Cite \textit{B. S. Kirk}, Int. J. Numer. Methods Fluids 64, No. 9, 1041--1062 (2010; Zbl 1427.76133) Full Text: DOI OpenURL
May, Georg; Iacono, Francesca; Jameson, Antony A hybrid multilevel method for high-order discretization of the Euler equations on unstructured meshes. (English) Zbl 1425.65103 J. Comput. Phys. 229, No. 10, 3938-3956 (2010). MSC: 65M55 35Q31 65M70 PDF BibTeX XML Cite \textit{G. May} et al., J. Comput. Phys. 229, No. 10, 3938--3956 (2010; Zbl 1425.65103) Full Text: DOI OpenURL
Munteanu, Marilena; Pavarino, Luca F. Decoupled Schwarz algorithms for implicit discretizations of nonlinear monodomain and bidomain systems. (English) Zbl 1178.65116 Math. Models Methods Appl. Sci. 19, No. 7, 1065-1097 (2009). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M55 35K57 35Q92 92C50 65M06 65M60 65H10 65M12 65F08 PDF BibTeX XML Cite \textit{M. Munteanu} and \textit{L. F. Pavarino}, Math. Models Methods Appl. Sci. 19, No. 7, 1065--1097 (2009; Zbl 1178.65116) Full Text: DOI OpenURL
Bassi, F.; De Bartolo, C.; Hartmann, R.; Nigro, A. A discontinuous Galerkin method for inviscid low Mach number flows. (English) Zbl 1273.76265 J. Comput. Phys. 228, No. 11, 3996-4011 (2009). MSC: 76M10 65M60 PDF BibTeX XML Cite \textit{F. Bassi} et al., J. Comput. Phys. 228, No. 11, 3996--4011 (2009; Zbl 1273.76265) Full Text: DOI Link OpenURL
Pollul, B.; Reusken, A. Numbering techniques for preconditioners in iterative solvers for compressible flows. (English) Zbl 1127.76037 Int. J. Numer. Methods Fluids 55, No. 3, 241-261 (2007). MSC: 76M12 76N15 65F10 PDF BibTeX XML Cite \textit{B. Pollul} and \textit{A. Reusken}, Int. J. Numer. Methods Fluids 55, No. 3, 241--261 (2007; Zbl 1127.76037) Full Text: DOI Link OpenURL
Chacón, L.; Lapenta, G. A fully implicit, nonlinear adaptive grid strategy. (English) Zbl 1083.65110 J. Comput. Phys. 212, No. 2, 703-717 (2006). MSC: 65N50 65N55 65H10 65F35 65K10 49J20 PDF BibTeX XML Cite \textit{L. Chacón} and \textit{G. Lapenta}, J. Comput. Phys. 212, No. 2, 703--717 (2006; Zbl 1083.65110) Full Text: DOI OpenURL
Germaschewski, Kai; Bhattacharjee, Amitava; Grauer, Rainer; Keyes, David; Smith, Barry Using Krylov-Schwarz methods in an adaptive mesh refinement environment. (English) Zbl 1246.65228 Plewa, Tomasz (ed.) et al., Adaptive mesh refinement – theory and applications. Proceedings of the Chicago workshop on adaptive mesh refinement methods, Chicago, IL, USA, September 3–5, 2003. Berlin: Springer (ISBN 3-540-21147-0/pbk). Lecture Notes in Computational Science and Engineering 41, 115-124 (2005). MSC: 65N50 65M50 76M25 PDF BibTeX XML Cite \textit{K. Germaschewski} et al., Lect. Notes Comput. Sci. Eng. 41, 115--124 (2005; Zbl 1246.65228) Full Text: DOI OpenURL
Scascighini, A.; Troxler, A.; Jeltsch, R. A numerical method for inverse design based on the inverse Euler equations. (English) Zbl 1025.76031 Int. J. Numer. Methods Fluids 41, No. 4, 339-355 (2003). MSC: 76M20 76N15 PDF BibTeX XML Cite \textit{A. Scascighini} et al., Int. J. Numer. Methods Fluids 41, No. 4, 339--355 (2003; Zbl 1025.76031) Full Text: DOI OpenURL
Keyes, David E. Terascale implicit methods for partial differential equations. (English) Zbl 1018.65121 Feng, Xiaobing (ed.) et al., Recent advances in numerical methods for partial differential equations and applications. Proceedings of the 2001 John H. Barrett memorial lectures trends in computational mathematics, Univ. of Tennessee, Knoxville, TN, USA, May 10-12, 2001. Providence, RI: AMS, American Mathematical Society. Contemp. Math. 306, 29-84 (2002). MSC: 65M55 65F35 65H10 65M60 35Q30 76M10 65Y05 76D05 76N15 PDF BibTeX XML Cite \textit{D. E. Keyes}, Contemp. Math. 306, 29--84 (2002; Zbl 1018.65121) OpenURL