Edit Profile (opens in new tab) Giraldo, Francis X. Compute Distance To: Compute Author ID: giraldo.francis-x Published as: Giraldo, Francis X.; Giraldo, F. X.; Giraldo, Francis External Links: MGP Documents Indexed: 42 Publications since 1997, including 1 Book Co-Authors: 34 Co-Authors with 32 Joint Publications 653 Co-Co-Authors 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 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 Navon, Ionel Michael 1 Nazarov, Murtazo 1 Perot, Blair 1 Perot, J. Blair 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 Open 39 Publications have been cited 743 times in 424 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. 83 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. 53 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. 46 2013 The Lagrange-Galerkin spectral element method on unstructured quadrilateral grids. Zbl 0920.65070Giraldo, Francis X. 36 1998 A high-order triangular discontinuous Galerkin oceanic shallow water model. Zbl 1290.86002Giraldo, F. X.; Warburton, T. 36 2008 A nodal triangle-based spectral element method for the shallow water equations on the sphere. Zbl 1177.86002Giraldo, F. X.; Warburton, T. 35 2005 High-order semi-implicit time-integrators for a triangular discontinuous Galerkin oceanic shallow water model. Zbl 1267.76010Giraldo, F. X.; Restelli, M. 32 2010 A conservative discontinuous Galerkin semi-implicit formulation for the Navier-Stokes equations in nonhydrostatic mesoscale modeling. Zbl 1405.65127Restelli, Marco; Giraldo, Francis X. 26 2009 Lagrange-Galerkin methods on spherical geodesic grids: The shallow water equations. Zbl 0977.76045Giraldo, Francis X. 26 2000 A spectral element semi-Lagrangian (SESL) method for the spherical shallow water equations. Zbl 1076.76058Giraldo, F. X.; Perot, J. B.; Fischer, P. F. 25 2003 A spectral element shallow water model on spherical geodesic grids. Zbl 1030.76045Giraldo, Francis X. 24 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. 24 2014 High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere. Zbl 1089.65096Giraldo, Francis X. 24 2006 Semi-implicit formulations of the Navier-Stokes equations: application to nonhydrostatic atmospheric modeling. Zbl 1237.76153Giraldo, F. X.; Restelli, M.; Läuter, M. 23 2010 Continuous and discontinuous Galerkin methods for a scalable three-dimensional nonhydrostatic atmospheric model: limited-area mode. Zbl 1284.65134Kelly, James F.; Giraldo, Francis X. 21 2012 Lagrange-Galerkin methods on spherical geodesic grids. Zbl 0909.65066Giraldo, Francis X. 20 1997 Strong and weak Lagrange-Galerkin spectral element methods for the shallow water equations. Zbl 1029.76042Giraldo, F. X. 19 2003 A discontinuous Galerkin method for the shallow water equations in spherical triangular coordinates. Zbl 1218.76028Läuter, Matthias; Giraldo, Francis X.; Handorf, Dörthe; Dethloff, Klaus 19 2008 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. 13 2012 The Lagrange-Galerkin method for the two-dimensional shallow water equations on adaptive grids. Zbl 0989.76047Giraldo, Francis X. 12 2000 A diagonal-mass-matrix triangular-spectral-element method based on cubature points. Zbl 1110.65093Giraldo, F. X.; Taylor, M. A. 11 2006 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 Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. Zbl 1349.76292Yelash, L.; Müller, A.; Lukáčová-Medvid’ová, M.; Giraldo, F. X.; Wirth, V. 9 2014 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 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 8 2009 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 Stabilized high-order Galerkin methods based on a parameter-free dynamic SGS model for LES. Zbl 1349.76127Marras, Simone; Nazarov, Murtazo; Giraldo, Francis X. 6 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. 6 2018 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 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 Stability analysis for Eulerian and semi-Lagrangian finite-element formulation of the advection-diffusion equation. Zbl 0937.65099Giraldo, F. X.; Neta, B. 4 1999 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. 4 2015 Hybrid Eulerian-Lagrangian semi-implicit time-integrators. Zbl 1206.76038Giraldo, F. X. 3 2006 IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. Zbl 1453.65328Kang, Shinhoo; Giraldo, Francis X.; Bui-Thanh, Tan 3 2020 Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations. Zbl 1349.76162Abdi, Daniel S.; Giraldo, Francis X. 3 2016 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 An introduction to element-based Galerkin methods on tensor-product bases. Analysis, algorithms, and applications. Zbl 1451.65004Giraldo, Francis X. 1 2020 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 IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin and explicit discontinuous Galerkin approach for shallow water systems. Zbl 1453.65328Kang, Shinhoo; Giraldo, Francis X.; Bui-Thanh, Tan 3 2020 An introduction to element-based Galerkin methods on tensor-product bases. Analysis, algorithms, and applications. Zbl 1451.65004Giraldo, Francis X. 1 2020 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. 6 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 Efficient construction of unified continuous and discontinuous Galerkin formulations for the 3D Euler equations. Zbl 1349.76162Abdi, Daniel S.; Giraldo, Francis X. 3 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. 6 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. 4 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. 24 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. 9 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. 46 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. 21 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. 13 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. 32 2010 Semi-implicit formulations of the Navier-Stokes equations: application to nonhydrostatic atmospheric modeling. Zbl 1237.76153Giraldo, F. X.; Restelli, M.; Läuter, M. 23 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. 26 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 8 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. 53 2008 A high-order triangular discontinuous Galerkin oceanic shallow water model. Zbl 1290.86002Giraldo, F. X.; Warburton, T. 36 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 19 2008 High-order triangle-based discontinuous Galerkin methods for hyperbolic equations on a rotating sphere. Zbl 1089.65096Giraldo, Francis X. 24 2006 A diagonal-mass-matrix triangular-spectral-element method based on cubature points. Zbl 1110.65093Giraldo, F. X.; Taylor, M. A. 11 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. 35 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. 25 2003 Strong and weak Lagrange-Galerkin spectral element methods for the shallow water equations. Zbl 1029.76042Giraldo, F. X. 19 2003 Nodal high-order discontinuous Galerkin methods for the spherical shallow water equations. Zbl 1178.76268Giraldo, F. X.; Hesthaven, J. S.; Warburton, T. 83 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. 24 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. 12 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. 36 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 639 Authors 32 Giraldo, Francis X. 14 Dehghan Takht Fooladi, Mehdi 14 Dumbser, Michael 13 Bonaventura, Luca 9 Dawson, Clint N. 8 Gassner, Gregor J. 7 Abbaszadeh, Mostafa 7 Kopriva, David Alan 7 Nair, Ramachandran D. 7 Westerink, Joannes J. 6 Hesthaven, Jan S. 6 Kubatko, Ethan J. 6 Marras, Simone 6 Perot, J. Blair 6 Schütz, Jochen 6 Tavelli, Maurizio 5 Bui-Thanh, Tan 5 Eskilsson, Claes 5 Neta, Beny 5 Nithiarasu, Perumal 5 Quan, Shaoping 5 Restelli, Marco 5 Schmidt, David P. 5 Sherwin, Spencer J. 5 Taylor, Mark Alan 5 Xing, Yulong 4 Behrens, Jorn 4 Colonius, Tim 4 Dea, John R. 4 Diamessis, Peter J. 4 Higdon, Robert L. 4 Hindenlang, Florian J. 4 Kaiser, Klaus Hermann 4 Karniadakis, George Em 4 Kometa, Bawfeh Kingsley 4 Kopera, Michal A. 4 Legat, Vincent 4 Lou, Jing 4 Lukáčová-Medvid’ová, Mária 4 Munz, Claus-Dieter 4 Pasquetti, Richard 4 Pudykiewicz, Janusz A. 4 Remacle, Jean-François 4 Seaïd, Mohammed 4 Smolarkiewicz, Piotr K. 4 Vazquez, Mariano 4 Wirasaet, Damrongsak 4 Xiao, Feng 3 Abbà, Antonella 3 Alipanah, Amjad 3 Beck, Andrea D. 3 Bermejo, Rodolfo 3 Boscheri, Walter 3 Brus, S. R. 3 Cai, Xiaofeng 3 Celledoni, Elena 3 Constantinescu, Emil M. 3 Cotter, Colin John 3 Dethloff, Klaus 3 Erath, Christoph 3 Fakhar-Izadi, Farhad 3 Fambri, Francesco 3 Garres-Díaz, José 3 Ghosh, Debojyoti 3 Handorf, Dörthe 3 Houzeaux, Guillaume 3 Jorba, Oriol 3 Kang, Shinhoo 3 Kelly, James F. 3 Kesserwani, Georges 3 Kim, Philsu 3 Läuter, Matthias 3 LeFloch, Philippe Gerard 3 Liang, Qiuhua 3 Lindquist, Joseph M. 3 Lotfi, Mahmoud 3 Lötstedt, Per 3 Mazzieri, Ilario 3 Moragues, Margarida 3 Moxey, David 3 Myong, Rho-Shin 3 Nazarov, Murtazo 3 Nordström, Jan 3 Palha, Artur 3 Pavarino, Luca Franco 3 Qiu, Jingmei 3 Rapetti, Francesca 3 Sabouri, Mania 3 Wang, Shizhao 3 Winters, Andrew R. 3 Zhang, Hong 3 Zhang, Xing 3 Zhu, Jun 2 Aizinger, Vadym 2 Baldauf, Michael 2 Bao, Yan 2 Beisiegel, Nicole 2 Beljadid, Abdelaziz 2 Benacchio, Tommaso 2 Bernard, Paul-Emile ...and 539 more Authors all top 5 Cited in 74 Serials 144 Journal of Computational Physics 37 Journal of Scientific Computing 33 Computer Methods in Applied Mechanics and Engineering 25 Computers and Fluids 14 Computers & Mathematics with Applications 13 SIAM Journal on Scientific Computing 12 Applied Mathematics and Computation 12 Applied Numerical Mathematics 10 International Journal for Numerical Methods in Fluids 6 Journal of Computational and Applied Mathematics 6 Numerische Mathematik 5 Journal of Fluid Mechanics 5 Wave Motion 4 Numerical Algorithms 4 Applied Mathematical Modelling 4 Computational Geosciences 3 Journal of Engineering Mathematics 3 International Journal for Numerical Methods in Engineering 3 Applied Mathematics Letters 3 International Journal of Computer Mathematics 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Communications in Nonlinear Science and Numerical Simulation 3 Communications in Computational Physics 3 Communications in Applied and Industrial Mathematics 2 Applicable Analysis 2 Theoretical and Computational Fluid Dynamics 2 Applied Mathematics and Mechanics. (English Edition) 2 Physics of Fluids 2 Numerical Linear Algebra with Applications 2 Advances in Computational Mathematics 2 Engineering Analysis with Boundary Elements 2 International Journal of Computational Fluid Dynamics 2 Journal of Applied Mathematics 2 Communications on Applied Mathematics and Computation 1 Computer Physics Communications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 BIT 1 Computing 1 Kyungpook Mathematical Journal 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 SIAM Review 1 Communications in Numerical Methods in Engineering 1 Russian Journal of Mathematical Physics 1 Computational and Applied Mathematics 1 Matematicheskoe Modelirovanie 1 Archives of Computational Methods in Engineering 1 Journal of Systems Science and Complexity 1 Sādhanā 1 Multiscale Modeling & Simulation 1 Journal of Function Spaces and Applications 1 Acta Numerica 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 Journal of Computational Acoustics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Applied Mathematics and Computational Science 1 Advances in Applied Mathematics and Mechanics 1 ISRN Geometry 1 Mathematics 1 Iranian Journal of Numerical Analysis and Optimization 1 Computational Methods for Differential Equations 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics 1 Cogent Mathematics & Statistics 1 Results in Applied Mathematics all top 5 Cited in 27 Fields 307 Numerical analysis (65-XX) 275 Fluid mechanics (76-XX) 117 Partial differential equations (35-XX) 98 Geophysics (86-XX) 18 Mechanics of deformable solids (74-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Biology and other natural sciences (92-XX) 5 Ordinary differential equations (34-XX) 4 Optics, electromagnetic theory (78-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 3 Differential geometry (53-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-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 Functional analysis (46-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year