Edit Profile Giraldo, Francis X. Compute Distance To: Compute Author ID: giraldo.francis-x Published as: Giraldo, F. X.; Giraldo, Francis; Giraldo, Francis X. External Links: MGP Documents Indexed: 42 Publications since 1997, including 1 Book all top 5 Co-Authors 9 single-authored 6 Neta, Beny 5 Marras, Simone 4 Kelly, James F. 4 Kopera, Michal A. 4 Restelli, Marco 3 Lindquist, Joseph M. 3 Warburton, Timothy 2 Borges, Carlos F. 2 Carr, L. E. III 2 Hesthaven, Jan S. 2 Läuter, Matthias 2 Muller, Andreas 2 Vazquez, Mariano 1 Abdi, Daniel S. 1 Bonev, Boris 1 Bui-Thanh, Tan 1 Chang, Wang 1 Constantinescu, Emil M. 1 Dea, John R. 1 Dethloff, Klaus 1 Diamessis, Peter J. 1 Escobar-Vargas, J. A. 1 Fischer, Paul F. 1 Handorf, Dörthe 1 Houzeaux, Guillaume 1 Jorba, Oriol 1 Kang, Shinhoo 1 Lukáčová-Medvid’ová, Mária 1 Moragues, Margarida 1 Muller, Adolf 1 Navon, Ionel Michael 1 Nazarov, Murtazo 1 Perot, Blair 1 Perot, J. Blair 1 Taylor, Mark Alan 1 Wirth, V. 1 Yelash, Leonid all top 5 Serials 21 Journal of Computational Physics 4 International Journal for Numerical Methods in Fluids 4 SIAM Journal on Scientific Computing 3 Computers & Mathematics with Applications 3 Applied Mathematics and Computation 2 Wave Motion 1 Journal of Engineering Mathematics 1 Journal of Scientific Computing 1 Archives of Computational Methods in Engineering 1 Texts in Computational Science and Engineering Fields 33 Fluid mechanics (76-XX) 32 Numerical analysis (65-XX) 22 Geophysics (86-XX) 16 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 38 Publications have been cited 661 times in 368 Documents Cited by ▼ Year ▼ Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268Giraldo, F. X.; Hesthaven, J. S.; Warburton, T. 77 2002 A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases. Zbl 1194.76189Giraldo, F. X.; Restelli, M. 51 2008 Analysis of an exact fractional step method. Zbl 1130.76394Chang, Wang; Giraldo, Francis; Perot, Blair 50 2002 Implicit-explicit formulations of a three-dimensional nonhydrostatic unified model of the atmosphere (NUMA). Zbl 1280.86008Giraldo, F. X.; Kelly, J. F.; Constantinescu, E. M. 34 2013 The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids. Zbl 0920.65070Giraldo, Francis X. 33 1998 A high-order triangular discontinuous Galerkin oceanic shallow water model. Zbl 1290.86002Giraldo, F. X.; Warburton, T. 32 2008 A nodal triangle-based spectral element method for the shallow water equations on the sphere. Zbl 1177.86002Giraldo, F. X.; Warburton, T. 32 2005 Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations. Zbl 0977.76045Giraldo, Francis X. 26 2000 High-order semi-implicit time-integrators for a triangular discontinuous Galerkin oceanic shallow water model. Zbl 1267.76010Giraldo, F. X.; Restelli, M. 25 2010 A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations. Zbl 1076.76058Giraldo, F. X.; Perot, J. B.; Fischer, P. F. 24 2003 A conservative discontinuous Galerkin semi-implicit formulation for the Navier-Stokes equations in nonhydrostatic mesoscale modeling. Zbl 1405.65127Restelli, Marco; Giraldo, Francis X. 23 2009 High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere. Zbl 1089.65096Giraldo, Francis X. 23 2006 A spectral element shallow water model on spherical geodesic grids. Zbl 1030.76045Giraldo, Francis X. 23 2001 Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations. Zbl 1349.76226Kopera, Michal A.; Giraldo, Francis X. 21 2014 Lagrange-Galerkin methods on spherical geodesic grids. Zbl 0909.65066Giraldo, Francis X. 20 1997 Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode. Zbl 1284.65134Kelly, James F.; Giraldo, Francis X. 19 2012 A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates. Zbl 1218.76028Läuter, Matthias; Giraldo, Francis X.; Handorf, Dörthe; Dethloff, Klaus 18 2008 Semi-implicit formulations of the Navier-Stokes equations: application to nonhydrostatic atmospheric modeling. Zbl 1237.76153Giraldo, F. X.; Restelli, M.; Läuter, M. 17 2010 Variational multiscale stabilization of high-order spectral elements for the advection-diffusion equation. Zbl 1284.65119Marras, S.; Kelly, J. F.; Giraldo, F. X.; Vázquez, M. 11 2012 A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary. Zbl 1231.76158Lindquist, Joseph M.; Neta, Beny; Giraldo, Francis X. 11 2010 Strong and weak Lagrange-Galerkin spectral element methods for the shallow water equations. Zbl 1029.76042Giraldo, F. X. 11 2003 High-order non-reflecting boundary conditions for the linearized 2-D Euler equations: no mean flow case. Zbl 1231.76066Dea, John R.; Giraldo, Francis X.; Neta, Beny 9 2009 A diagonal-mass-matrix triangular-spectral-element method based on cubature points. Zbl 1110.65093Giraldo, F. X.; Taylor, M. A. 9 2006 Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. Zbl 1349.76292Yelash, L.; Müller, A.; Lukáčová-Medvid’ová, M.; Giraldo, F. X.; Wirth, V. 8 2014 The Lagrange-Galerkin method for the two-dimensional shallow water equations on adaptive grids. Zbl 0989.76047Giraldo, Francis X. 8 2000 Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates. Zbl 0883.76060Neta, B.; Giraldo, F. X.; Navon, I. M. 8 1997 Klein-Gordon equation with advection on unbounded domains using spectral elements and high-order non-reflecting boundary conditions. Zbl 1342.76019Lindquist, Joseph M.; Giraldo, Francis X.; Neta, Beny 6 2010 A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. Zbl 1360.86004Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol 5 2016 An element-based spectrally optimized approximate inverse preconditioner for the Euler equations. Zbl 1253.65147Carr, L. E. III; Borges, C. F.; Giraldo, F. X. 5 2012 Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES. Zbl 1349.76127Marras, Simone; Nazarov, Murtazo; Giraldo, Francis X. 4 2015 Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation. Zbl 0937.65099Giraldo, F. X.; Neta, B. 4 1999 Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. Zbl 1391.76305Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A. 3 2018 Mass conservation of the unified continuous and discontinuous element-based Galerkin methods on dynamically adaptive grids with application to atmospheric simulations. Zbl 1349.76227Kopera, Michal A.; Giraldo, Francis X. 3 2015 Hybrid Eulerian-Lagrangian semi-implicit time-integrators. Zbl 1206.76038Giraldo, F. X. 3 2006 High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods. Zbl 1426.76501Escobar-Vargas, J. A.; Diamessis, P. J.; Giraldo, F. X. 2 2012 Matrix-free polynomial-based nonlinear least squares optimized preconditioning and its application to discontinuous Galerkin discretizations of the Euler equations. Zbl 1398.65247Carr, L. E. III; Borges, C. F.; Giraldo, F. X. 1 2016 Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations. Zbl 1349.76162Abdi, Daniel S.; Giraldo, Francis X. 1 2016 A parameter-free dynamic alternative to hyper-viscosity for coupled transport equations: application to the simulation of 3D squall lines using spectral elements. Zbl 1351.86003Marras, Simone; Giraldo, Francis X. 1 2015 Discontinuous Galerkin scheme for the spherical shallow water equations with applications to tsunami modeling and prediction. Zbl 1391.76305Bonev, Boris; Hesthaven, Jan S.; Giraldo, Francis X.; Kopera, Michal A. 3 2018 A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin. Zbl 1360.86004Marras, Simone; Kelly, James F.; Moragues, Margarida; Müller, Andreas; Kopera, Michal A.; Vázquez, Mariano; Giraldo, Francis X.; Houzeaux, Guillaume; Jorba, Oriol 5 2016 Matrix-free polynomial-based nonlinear least squares optimized preconditioning and its application to discontinuous Galerkin discretizations of the Euler equations. Zbl 1398.65247Carr, L. E. III; Borges, C. F.; Giraldo, F. X. 1 2016 Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations. Zbl 1349.76162Abdi, Daniel S.; Giraldo, Francis X. 1 2016 Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES. Zbl 1349.76127Marras, Simone; Nazarov, Murtazo; Giraldo, Francis X. 4 2015 Mass conservation of the unified continuous and discontinuous element-based Galerkin methods on dynamically adaptive grids with application to atmospheric simulations. Zbl 1349.76227Kopera, Michal A.; Giraldo, Francis X. 3 2015 A parameter-free dynamic alternative to hyper-viscosity for coupled transport equations: application to the simulation of 3D squall lines using spectral elements. Zbl 1351.86003Marras, Simone; Giraldo, Francis X. 1 2015 Analysis of adaptive mesh refinement for IMEX discontinuous Galerkin solutions of the compressible Euler equations with application to atmospheric simulations. Zbl 1349.76226Kopera, Michal A.; Giraldo, Francis X. 21 2014 Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. Zbl 1349.76292Yelash, L.; Müller, A.; Lukáčová-Medvid’ová, M.; Giraldo, F. X.; Wirth, V. 8 2014 Implicit-explicit formulations of a three-dimensional nonhydrostatic unified model of the atmosphere (NUMA). Zbl 1280.86008Giraldo, F. X.; Kelly, J. F.; Constantinescu, E. M. 34 2013 Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode. Zbl 1284.65134Kelly, James F.; Giraldo, Francis X. 19 2012 Variational multiscale stabilization of high-order spectral elements for the advection-diffusion equation. Zbl 1284.65119Marras, S.; Kelly, J. F.; Giraldo, F. X.; Vázquez, M. 11 2012 An element-based spectrally optimized approximate inverse preconditioner for the Euler equations. Zbl 1253.65147Carr, L. E. III; Borges, C. F.; Giraldo, F. X. 5 2012 High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods. Zbl 1426.76501Escobar-Vargas, J. A.; Diamessis, P. J.; Giraldo, F. X. 2 2012 High-order semi-implicit time-integrators for a triangular discontinuous Galerkin oceanic shallow water model. Zbl 1267.76010Giraldo, F. X.; Restelli, M. 25 2010 Semi-implicit formulations of the Navier-Stokes equations: application to nonhydrostatic atmospheric modeling. Zbl 1237.76153Giraldo, F. X.; Restelli, M.; Läuter, M. 17 2010 A spectral element solution of the Klein-Gordon equation with high-order treatment of time and non-reflecting boundary. Zbl 1231.76158Lindquist, Joseph M.; Neta, Beny; Giraldo, Francis X. 11 2010 Klein-Gordon equation with advection on unbounded domains using spectral elements and high-order non-reflecting boundary conditions. Zbl 1342.76019Lindquist, Joseph M.; Giraldo, Francis X.; Neta, Beny 6 2010 A conservative discontinuous Galerkin semi-implicit formulation for the Navier-Stokes equations in nonhydrostatic mesoscale modeling. Zbl 1405.65127Restelli, Marco; Giraldo, Francis X. 23 2009 High-order non-reflecting boundary conditions for the linearized 2-D Euler equations: no mean flow case. Zbl 1231.76066Dea, John R.; Giraldo, Francis X.; Neta, Beny 9 2009 A study of spectral element and discontinuous Galerkin methods for the Navier-Stokes equations in nonhydrostatic mesoscale atmospheric modeling: equation sets and test cases. Zbl 1194.76189Giraldo, F. X.; Restelli, M. 51 2008 A high-order triangular discontinuous Galerkin oceanic shallow water model. Zbl 1290.86002Giraldo, F. X.; Warburton, T. 32 2008 A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates. Zbl 1218.76028Läuter, Matthias; Giraldo, Francis X.; Handorf, Dörthe; Dethloff, Klaus 18 2008 High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere. Zbl 1089.65096Giraldo, Francis X. 23 2006 A diagonal-mass-matrix triangular-spectral-element method based on cubature points. Zbl 1110.65093Giraldo, F. X.; Taylor, M. A. 9 2006 Hybrid Eulerian-Lagrangian semi-implicit time-integrators. Zbl 1206.76038Giraldo, F. X. 3 2006 A nodal triangle-based spectral element method for the shallow water equations on the sphere. Zbl 1177.86002Giraldo, F. X.; Warburton, T. 32 2005 A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations. Zbl 1076.76058Giraldo, F. X.; Perot, J. B.; Fischer, P. F. 24 2003 Strong and weak Lagrange-Galerkin spectral element methods for the shallow water equations. Zbl 1029.76042Giraldo, F. X. 11 2003 Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268Giraldo, F. X.; Hesthaven, J. S.; Warburton, T. 77 2002 Analysis of an exact fractional step method. Zbl 1130.76394Chang, Wang; Giraldo, Francis; Perot, Blair 50 2002 A spectral element shallow water model on spherical geodesic grids. Zbl 1030.76045Giraldo, Francis X. 23 2001 Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations. Zbl 0977.76045Giraldo, Francis X. 26 2000 The Lagrange-Galerkin method for the two-dimensional shallow water equations on adaptive grids. Zbl 0989.76047Giraldo, Francis X. 8 2000 Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation. Zbl 0937.65099Giraldo, F. X.; Neta, B. 4 1999 The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids. Zbl 0920.65070Giraldo, Francis X. 33 1998 Lagrange-Galerkin methods on spherical geodesic grids. Zbl 0909.65066Giraldo, Francis X. 20 1997 Analysis of the Turkel-Zwas scheme for the two-dimensional shallow water equations in spherical coordinates. Zbl 0883.76060Neta, B.; Giraldo, F. X.; Navon, I. M. 8 1997 all cited Publications top 5 cited Publications all top 5 Cited by 603 Authors 32 Giraldo, Francis X. 12 Dehghan Takht Fooladi, Mehdi 12 Dumbser, Michael 11 Bonaventura, Luca 9 Dawson, Clint N. 7 Nair, Ramachandran D. 7 Westerink, Joannes J. 6 Gassner, Gregor J. 6 Hesthaven, Jan S. 6 Kubatko, Ethan J. 6 Marras, Simone 6 Perot, J. Blair 6 Restelli, Marco 6 Taylor, Mark Alan 5 Kopriva, David Alan 5 Neta, Beny 5 Nithiarasu, Perumal 5 Quan, Shaoping 5 Schmidt, David P. 5 Tavelli, Maurizio 5 Xing, Yulong 4 Abbaszadeh, Mostafa 4 Bui-Thanh, Tan 4 Colonius, Tim 4 Dea, John R. 4 Diamessis, Peter J. 4 Eskilsson, Claes 4 Karniadakis, George Em 4 Kopera, Michal A. 4 Legat, Vincent 4 Lou, Jing 4 Pasquetti, Richard 4 Remacle, Jean-François 4 Seaïd, Mohammed 4 Sherwin, Spencer J. 4 Smolarkiewicz, Piotr K. 4 Vazquez, Mariano 4 Wirasaet, Damrongsak 4 Xiao, Feng 3 Abbà, Antonella 3 Behrens, Jorn 3 Boscheri, Walter 3 Brus, S. R. 3 Celledoni, Elena 3 Dethloff, Klaus 3 Erath, Christoph 3 Fakhar-Izadi, Farhad 3 Fambri, Francesco 3 Ghosh, Debojyoti 3 Handorf, Dörthe 3 Higdon, Robert L. 3 Hindenlang, Florian J. 3 Houzeaux, Guillaume 3 Jorba, Oriol 3 Kaiser, Klaus Hermann 3 Kelly, James F. 3 Kesserwani, Georges 3 Kim, Philsu 3 Kometa, Bawfeh Kingsley 3 Läuter, Matthias 3 Liang, Qiuhua 3 Lindquist, Joseph M. 3 Lötstedt, Per 3 Lukáčová-Medvid’ová, Mária 3 Moragues, Margarida 3 Munz, Claus-Dieter 3 Nordström, Jan 3 Pavarino, Luca Franco 3 Pudykiewicz, Janusz A. 3 Rapetti, Francesca 3 Sabouri, Mania 3 Schütz, Jochen 3 Thomas, Stephen J. 3 Wang, Shizhao 3 Zhang, Xing 2 Aizinger, Vadym 2 Alipanah, Amjad 2 Bao, Yan 2 Beck, Andrea D. 2 Bernard, Paul-Emile 2 Bevan, Rhodri L. T. 2 Bjøntegaard, Tormod 2 Blaise, Sébastien 2 Bunya, Shintaro 2 Cai, Xiao-Chuan 2 Cai, Xiaofeng 2 Carpenter, Mark H. 2 Chehab, Jean-Paul 2 Chun, Sehun 2 Codina, Ramon 2 Comblen, Richard 2 Cotter, Colin John 2 Dai, Meizhong 2 Domaradzki, J. Andrzej 2 Don, Wai Sun 2 Dorf, Mikhail A. 2 Dorr, Milo R. 2 El-Amrani, Mofdi 2 Fischer, Paul F. 2 Fraysse, François ...and 503 more Authors all top 5 Cited in 63 Serials 135 Journal of Computational Physics 29 Journal of Scientific Computing 26 Computer Methods in Applied Mechanics and Engineering 24 Computers and Fluids 13 SIAM Journal on Scientific Computing 12 Computers & Mathematics with Applications 11 Applied Numerical Mathematics 10 International Journal for Numerical Methods in Fluids 10 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 5 Journal of Fluid Mechanics 5 Wave Motion 5 Numerische Mathematik 4 Applied Mathematical Modelling 3 Journal of Engineering Mathematics 3 International Journal for Numerical Methods in Engineering 3 Numerical Algorithms 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Philosophical Transactions of the Royal Society of London. Series A. 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A. Mathematical, Physical and Engineering Sciences 1 Cogent Mathematics & Statistics all top 5 Cited in 27 Fields 261 Numerical analysis (65-XX) 242 Fluid mechanics (76-XX) 99 Partial differential equations (35-XX) 87 Geophysics (86-XX) 17 Mechanics of deformable solids (74-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 Differential geometry (53-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year