Edit Profile (opens in new tab) Farrell, Patrick E. Co-Author Distance Author ID: farrell.patrick-e Published as: Farrell, P. E.; Farrell, Patrick E. Homepage: http://www.pefarrell.org/ External Links: MGP · Wikidata Documents Indexed: 54 Publications since 2007, including 10 Additional arXiv Preprints Co-Authors: 23 Co-Authors with 23 Joint Publications 785 Co-Co-Authors all top 5 Co-Authors 2 single-authored 7 MacLachlan, Scott P. 6 Funke, Simon W. 5 Croci, Matteo 5 Piggott, Matthew D. 5 Rognes, Marie Elisabeth 3 Adler, James H. 3 Gorman, Gerard J. 3 Maddison, James R. 3 Pain, Christopher C. 2 Aznaran, Francis R. A. 2 Birkisson, Asgeir 2 Boullé, Nicolas 2 Brubeck, Pablo D. 2 Emerson, D. B. 2 G. de Diego, Gonzalo 2 Gazca-Orozco, P. A. 2 Giles, Michael B. 2 Hamdan, Abdalaziz 2 Hewitt, Ian J. 2 Kirby, Robert C. 2 Micheletti, Stefano 2 Monroe, Charles W. 2 Papadopoulos, Ioannis P. A. 2 Perotto, Simona 2 Süli, Endre E. 2 Surowiec, Thomas 1 Abu-Labdeh, Razan 1 Allison, P. A. 1 Beentjes, Casper H. L. 1 Benson, Thomas R. 1 Beskos, Alexandros 1 Bueler, Edward L. 1 Castrejón-Pita, Alfonso A. 1 Cotter, Colin John 1 Cyr, Eric C. 1 Ellingsrud, Ada J. 1 Fang, Fangxin 1 Gatica, Luis F. 1 Girolami, Mark A. 1 Goddard, A. J. H. 1 Hake, J. E. 1 Ham, David A. 1 He, Yunhui 1 Hron, Jaroslav 1 Lamichhane, Bishnu Prasad 1 Lan, Shiwei 1 Marchena-Menéndez, Jorge 1 Maurini, Corrado 1 Moulton, Derek E. 1 Navon, Ionel Michael 1 Orozco, Pablo Alexei Gazca 1 Ould Haye, Mohamedou 1 Oyarzúa, Ricardo 1 Pearson, John W. 1 Rezaee-Hajidehi, M. 1 Ruiz-Baier, Ricardo 1 Russo, Giovanni 1 Stuart, Andrew M. 1 Stupkiewicz, Stanisław 1 Tavener, Simon J. 1 Tůma, Karel 1 Tuminaro, Ray S. 1 Turney, B. W. 1 Van-Brunt, Alexander J. 1 Waters, Sarah Louise 1 Zerbinati, Umberto all top 5 Serials 12 SIAM Journal on Scientific Computing 6 Computer Methods in Applied Mechanics and Engineering 5 Journal of Computational Physics 2 Journal of Fluid Mechanics 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Matrix Analysis and Applications 1 Computers & Mathematics with Applications 1 IMA Journal of Numerical Analysis 1 International Journal for Numerical Methods in Fluids 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 International Journal for Numerical Methods in Engineering 1 SIAM Journal on Applied Mathematics 1 Numerical Linear Algebra with Applications 1 Optimization Methods & Software 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 East-West Journal of Mathematics 1 Mathematical Medicine and Biology 1 Boletín de la Sociedad Española de Matemática Aplicada. S\(\vec{\text{e}}\)MA 1 SIAM/ASA Journal on Uncertainty Quantification 1 SMAI Journal of Computational Mathematics all top 5 Fields 41 Numerical analysis (65-XX) 22 Fluid mechanics (76-XX) 21 Partial differential equations (35-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of deformable solids (74-XX) 4 Geophysics (86-XX) 4 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 327 times in 266 Documents Cited by ▼ Year ▼ Conservative interpolation between volume meshes by local Galerkin projection. Zbl 1225.76193 Farrell, P. E.; Maddison, J. R. 56 2010 Geometric MCMC for infinite-dimensional inverse problems. Zbl 1375.35627 Beskos, Alexandros; Girolami, Mark; Lan, Shiwei; Farrell, Patrick E.; Stuart, Andrew M. 51 2017 Conservative interpolation between unstructured meshes via supermesh construction. Zbl 1228.76105 Farrell, P. E.; Piggott, M. D.; Pain, C. C.; Gorman, G. J.; Wilson, C. R. 50 2009 Deflation techniques for finding distinct solutions of nonlinear partial differential equations. Zbl 1327.65237 Farrell, P. E.; Birkisson, Á.; Funke, S. W. 45 2015 Automated derivation of the adjoint of high-level transient finite element programs. Zbl 1362.65103 Farrell, P. E.; Ham, D. A.; Funke, S. W.; Rognes, M. E. 42 2013 A POD reduced-order 4D-Var adaptive mesh ocean modelling approach. Zbl 1163.86002 Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Farrell, P. E.; Allison, P. A.; Goddard, A. J. H. 22 2009 An anisotropic Zienkiewicz-Zhu-type error estimator for 3D applications. Zbl 1217.76037 Farrell, P. E.; Micheletti, S.; Perotto, S. 14 2011 Efficient white noise sampling and coupling for multilevel Monte Carlo with nonnested meshes. Zbl 07003649 Croci, Matteo; Giles, Mike B.; Rognes, M. E.; Farrell, Patrick E. 13 2018 A local Fourier analysis of additive Vanka relaxation for the Stokes equations. Zbl 07361104 Farrell, Patrick E.; He, Yunhui; MacLachlan, Scott P. 11 2021 Anisotropic mesh adaptivity for multi-scale ocean modelling. Zbl 1192.86009 Piggott, M. D.; Farrell, P. E.; Wilson, C. R.; Gorman, G. J.; Pain, C. C. 11 2009 A recovery-based error estimator for anisotropic mesh adaptation in CFD. Zbl 1242.76248 Micheletti, Stefano; Perotto, Simona; Farrell, P. E. 10 2010 A preconditioner for the Ohta-Kawasaki equation. Zbl 1365.65221 Farrell, Patrick E.; Pearson, John W. 9 2017 The number of distinct eigenvalues of a matrix after perturbation. Zbl 1338.15023 Farrell, P. E. 9 2016 Computing multiple solutions of topology optimization problems. Zbl 1472.35308 Papadopoulos, Ioannis P. A.; Farrell, Patrick E.; Surowiec, Thomas M. 9 2021 Numerical analysis of unsteady implicitly constituted incompressible fluids: 3-field formulation. Zbl 1434.76065 Farrell, Patrick E.; Gazca-Orozco, P. A.; Süli, Endre 8 2020 Monolithic multigrid methods for magnetohydrodynamics. Zbl 1490.76133 Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S. 7 2021 The addition of fields on different meshes. Zbl 1218.65024 Farrell, P. E. 7 2011 Irksome: automating Runge-Kutta time-stepping for finite element methods. Zbl 1486.65074 Farrell, Patrick E.; Kirby, Robert C.; Marchena-Menéndez, Jorge 6 2021 Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids. Zbl 1490.65271 Farrell, Patrick; Orozco, Pablo Alexei Gazca; Süli, Endre 6 2022 Deflation for semismooth equations. Zbl 1467.65067 Farrell, Patrick E.; Croci, Matteo; Surowiec, Thomas M. 6 2020 Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity. Zbl 1506.74050 Farrell, Patrick E.; Gatica, Luis F.; Lamichhane, Bishnu P.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo 5 2021 An augmented Lagrangian preconditioner for implicitly constituted non-Newtonian incompressible flow. Zbl 1458.65147 Farrell, P. E.; Gazca-Orozco, P. A. 5 2020 Automated adjoints of coupled PDE-ODE systems. Zbl 1420.65077 Farrell, P. E.; Hake, J. E.; Funke, S. W.; Rognes, M. E. 4 2019 Directional integration on unstructured meshes via supermesh construction. Zbl 1247.65149 Maddison, J. R.; Farrell, P. E. 3 2012 Rapid development and adjoining of transient finite element models. Zbl 1423.76257 Maddison, J. R.; Farrell, P. E. 2 2014 A framework for the automation of generalized stability theory. Zbl 1292.34048 Farrell, P. E.; Cotter, C. J.; Funke, S. W. 2 2014 Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. Zbl 07660332 Abu-Labdeh, Razan; MacLachlan, Scott; Farrell, Patrick E. 2 2023 Complexity bounds on supermesh construction for quasi-uniform meshes. Zbl 1440.65015 Croci, Matteo; Farrell, Patrick E. 2 2020 Analysis of Carrier’s problem. Zbl 1410.34044 Chapman, S. J.; Farrell, Patrick E. 1 2017 Reconstructing wave profiles from inundation data. Zbl 1439.76068 Funke, S. W.; Farrell, P. E.; Piggott, M. D. 1 2017 Numerical approximation of viscous contact problems applied to glacial sliding. Zbl 1524.76324 De Diego, Gonzalo G.; Farrell, Patrick E.; Hewitt, Ian J. 1 2022 Phase-field modeling of multivariant martensitic transformation at finite-strain: computational aspects and large-scale finite-element simulations. Zbl 1506.74242 Tůma, K.; Rezaee-Hajidehi, M.; Hron, J.; Farrell, P. E.; Stupkiewicz, S. 1 2021 Transformations for Piola-mapped elements. Zbl 1528.65099 Aznaran, Francis R. A.; Farrell, Patrick E.; Kirby, Robert C. 1 2023 A scalable and robust vertex-star relaxation for high-order FEM. Zbl 1501.65014 Brubeck, Pablo D.; Farrell, Patrick E. 1 2022 Cavity flow characteristics and applications to kidney stone removal. Zbl 1460.76960 Williams, J. G.; Castrejón-Pita, A. A.; Turney, B. W.; Farrell, P. E.; Tavener, S. J.; Moulton, D. E.; Waters, S. L. 1 2020 Accurate numerical simulation of electrodiffusion and water movement in brain tissue. Zbl 1480.92057 Ellingsrud, Ada J.; Boullé, Nicolas; Farrell, Patrick E.; Rognes, Marie E. 1 2021 Multilevel quasi Monte Carlo methods for elliptic PDEs with random field coefficients via fast white noise sampling. Zbl 07385001 Croci, Matteo; Giles, Michael; Farrell, Patrick E. 1 2021 Monolithic multigrid for implicit Runge-Kutta discretizations of incompressible fluid flow. Zbl 07660332 Abu-Labdeh, Razan; MacLachlan, Scott; Farrell, Patrick E. 2 2023 Transformations for Piola-mapped elements. Zbl 1528.65099 Aznaran, Francis R. A.; Farrell, Patrick E.; Kirby, Robert C. 1 2023 Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids. Zbl 1490.65271 Farrell, Patrick; Orozco, Pablo Alexei Gazca; Süli, Endre 6 2022 Numerical approximation of viscous contact problems applied to glacial sliding. Zbl 1524.76324 De Diego, Gonzalo G.; Farrell, Patrick E.; Hewitt, Ian J. 1 2022 A scalable and robust vertex-star relaxation for high-order FEM. Zbl 1501.65014 Brubeck, Pablo D.; Farrell, Patrick E. 1 2022 A local Fourier analysis of additive Vanka relaxation for the Stokes equations. Zbl 07361104 Farrell, Patrick E.; He, Yunhui; MacLachlan, Scott P. 11 2021 Computing multiple solutions of topology optimization problems. Zbl 1472.35308 Papadopoulos, Ioannis P. A.; Farrell, Patrick E.; Surowiec, Thomas M. 9 2021 Monolithic multigrid methods for magnetohydrodynamics. Zbl 1490.76133 Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S. 7 2021 Irksome: automating Runge-Kutta time-stepping for finite element methods. Zbl 1486.65074 Farrell, Patrick E.; Kirby, Robert C.; Marchena-Menéndez, Jorge 6 2021 Mixed Kirchhoff stress-displacement-pressure formulations for incompressible hyperelasticity. Zbl 1506.74050 Farrell, Patrick E.; Gatica, Luis F.; Lamichhane, Bishnu P.; Oyarzúa, Ricardo; Ruiz-Baier, Ricardo 5 2021 Phase-field modeling of multivariant martensitic transformation at finite-strain: computational aspects and large-scale finite-element simulations. Zbl 1506.74242 Tůma, K.; Rezaee-Hajidehi, M.; Hron, J.; Farrell, P. E.; Stupkiewicz, S. 1 2021 Accurate numerical simulation of electrodiffusion and water movement in brain tissue. Zbl 1480.92057 Ellingsrud, Ada J.; Boullé, Nicolas; Farrell, Patrick E.; Rognes, Marie E. 1 2021 Multilevel quasi Monte Carlo methods for elliptic PDEs with random field coefficients via fast white noise sampling. Zbl 07385001 Croci, Matteo; Giles, Michael; Farrell, Patrick E. 1 2021 Numerical analysis of unsteady implicitly constituted incompressible fluids: 3-field formulation. Zbl 1434.76065 Farrell, Patrick E.; Gazca-Orozco, P. A.; Süli, Endre 8 2020 Deflation for semismooth equations. Zbl 1467.65067 Farrell, Patrick E.; Croci, Matteo; Surowiec, Thomas M. 6 2020 An augmented Lagrangian preconditioner for implicitly constituted non-Newtonian incompressible flow. Zbl 1458.65147 Farrell, P. E.; Gazca-Orozco, P. A. 5 2020 Complexity bounds on supermesh construction for quasi-uniform meshes. Zbl 1440.65015 Croci, Matteo; Farrell, Patrick E. 2 2020 Cavity flow characteristics and applications to kidney stone removal. Zbl 1460.76960 Williams, J. G.; Castrejón-Pita, A. A.; Turney, B. W.; Farrell, P. E.; Tavener, S. J.; Moulton, D. E.; Waters, S. L. 1 2020 Automated adjoints of coupled PDE-ODE systems. Zbl 1420.65077 Farrell, P. E.; Hake, J. E.; Funke, S. W.; Rognes, M. E. 4 2019 Efficient white noise sampling and coupling for multilevel Monte Carlo with nonnested meshes. Zbl 07003649 Croci, Matteo; Giles, Mike B.; Rognes, M. E.; Farrell, Patrick E. 13 2018 Geometric MCMC for infinite-dimensional inverse problems. Zbl 1375.35627 Beskos, Alexandros; Girolami, Mark; Lan, Shiwei; Farrell, Patrick E.; Stuart, Andrew M. 51 2017 A preconditioner for the Ohta-Kawasaki equation. Zbl 1365.65221 Farrell, Patrick E.; Pearson, John W. 9 2017 Analysis of Carrier’s problem. Zbl 1410.34044 Chapman, S. J.; Farrell, Patrick E. 1 2017 Reconstructing wave profiles from inundation data. Zbl 1439.76068 Funke, S. W.; Farrell, P. E.; Piggott, M. D. 1 2017 The number of distinct eigenvalues of a matrix after perturbation. Zbl 1338.15023 Farrell, P. E. 9 2016 Deflation techniques for finding distinct solutions of nonlinear partial differential equations. Zbl 1327.65237 Farrell, P. E.; Birkisson, Á.; Funke, S. W. 45 2015 Rapid development and adjoining of transient finite element models. Zbl 1423.76257 Maddison, J. R.; Farrell, P. E. 2 2014 A framework for the automation of generalized stability theory. Zbl 1292.34048 Farrell, P. E.; Cotter, C. J.; Funke, S. W. 2 2014 Automated derivation of the adjoint of high-level transient finite element programs. Zbl 1362.65103 Farrell, P. E.; Ham, D. A.; Funke, S. W.; Rognes, M. E. 42 2013 Directional integration on unstructured meshes via supermesh construction. Zbl 1247.65149 Maddison, J. R.; Farrell, P. E. 3 2012 An anisotropic Zienkiewicz-Zhu-type error estimator for 3D applications. Zbl 1217.76037 Farrell, P. E.; Micheletti, S.; Perotto, S. 14 2011 The addition of fields on different meshes. Zbl 1218.65024 Farrell, P. E. 7 2011 Conservative interpolation between volume meshes by local Galerkin projection. Zbl 1225.76193 Farrell, P. E.; Maddison, J. R. 56 2010 A recovery-based error estimator for anisotropic mesh adaptation in CFD. Zbl 1242.76248 Micheletti, Stefano; Perotto, Simona; Farrell, P. E. 10 2010 Conservative interpolation between unstructured meshes via supermesh construction. Zbl 1228.76105 Farrell, P. E.; Piggott, M. D.; Pain, C. C.; Gorman, G. J.; Wilson, C. R. 50 2009 A POD reduced-order 4D-Var adaptive mesh ocean modelling approach. Zbl 1163.86002 Fang, F.; Pain, C. C.; Navon, I. M.; Piggott, M. D.; Gorman, G. J.; Farrell, P. E.; Allison, P. A.; Goddard, A. J. H. 22 2009 Anisotropic mesh adaptivity for multi-scale ocean modelling. Zbl 1192.86009 Piggott, M. D.; Farrell, P. E.; Wilson, C. R.; Gorman, G. J.; Pain, C. C. 11 2009 all cited Publications top 5 cited Publications all top 5 Cited by 571 Authors 14 Farrell, Patrick E. 12 Pain, Christopher C. 8 Piggott, Matthew D. 8 Zhang, Lei 7 Fang, Fangxin 7 Zhang, Pingwen 6 Ghattas, Omar N. 6 Navon, Ionel Michael 6 Pavlidis, Dimitrios 5 Chen, Peng 5 Croci, Matteo 5 Funke, Simon W. 5 Maddison, James R. 5 Rognes, Marie Elisabeth 4 Borggaard, Jeff T. 4 Carpio, Jaime 4 Eaton, Matthew D. 4 Evcin, Cansu 4 Girolami, Mark A. 4 Gorman, Gerard J. 4 Hao, Wenrui 4 Lan, Shiwei 4 Papadopoulos, Ioannis P. A. 4 Percival, James R. 4 Tezer-Sezgin, Munevver 4 Uğur, Ömür 4 Zheng, Xiangcheng 3 Aguerre, Horacio J. 3 Bermejo, Rodolfo 3 Boullé, Nicolas 3 Chen, Xiao 3 Colera, Manuel 3 Cui, Tiangang 3 Damián, Santiago Márquez 3 Farrell, Patrick Emmet 3 Glatt-Holtz, Nathan E. 3 Heemink, Arnold Willem 3 Iliescu, Traian 3 Jackson, Matthew D. 3 Khristenko, Ustim 3 Kópházi, József 3 Massing, André 3 Ming, Pingjian 3 Neethling, Stephen J. 3 Nigro, Norberto M. 3 Owens, A. R. 3 Salinas, Pablo 3 Schwab, Christoph 3 Shashkov, Mikhail J. 3 Stuart, Andrew M. 3 Surowiec, Thomas 3 Villa, Umberto E. 3 Wang, Zhu 3 Welch, J. A. 3 Wohlmuth, Barbara I. 3 Xiao, Yi 3 Xie, Zhihua 3 Yin, Jianyuan 2 Adler, James H. 2 Akhtar, Imran 2 Alauzet, Frédéric 2 Alonso, Diego Hayashi 2 Altaf, M. Umer 2 Balmus, Maximilian 2 Batistić, Ivan 2 Beskos, Alexandros 2 Bordas, Stéphane Pierre Alain 2 Buchan, Andrew G. 2 Cardiff, Philip 2 Cheng, Juan 2 Cirak, Fehmi 2 Cirrottola, Luca 2 Dunlop, Matthew M. 2 Emerson, D. B. 2 Fairbanks, Hillary R. 2 Febrianto, Eky 2 Froehly, Algiane 2 Giles, Michael B. 2 Gimenez, Juan Marcelo 2 Giordano, Matteo 2 Hale, Jack S. 2 Hassan, Oubay 2 Hauseux, Paul 2 Hoang, Viet Ha 2 Hoffman, Johan 2 Hoteit, Ibrahim 2 Jensen, Kristian Ejlebjerg 2 Kekkonen, Hanne 2 Koutsourelakis, Phaedon-Stelios 2 Kramer, Stephan C. 2 Krometis, Justin A. 2 Kuzmin, Dmitri 2 Li, Shuyi 2 Lin, Guang 2 MacLachlan, Scott P. 2 Majumdar, Apala 2 Marzouk, Youssef M. 2 Milz, Johannes 2 Mondaini, Cecilia F. 2 Moulton, Derek E. ...and 471 more Authors all top 5 Cited in 72 Serials 38 Journal of Computational Physics 37 Computer Methods in Applied Mechanics and Engineering 25 SIAM Journal on Scientific Computing 13 Computers and Fluids 13 SIAM/ASA Journal on Uncertainty Quantification 8 International Journal for Numerical Methods in Engineering 8 Applied Mathematical Modelling 7 Inverse Problems 7 Journal of Fluid Mechanics 6 Journal of Scientific Computing 5 Computers & Mathematics with Applications 5 International Journal for Numerical Methods in Fluids 4 Statistics and Computing 3 Journal of Computational and Applied Mathematics 3 SIAM Journal on Numerical Analysis 3 Applied Numerical Mathematics 3 Advances in Computational Mathematics 3 Optimization Methods & Software 3 Computational Geosciences 3 Acta Numerica 2 Journal of Mathematical Biology 2 Bulletin of Mathematical Biology 2 ACM Transactions on Mathematical Software 2 Journal of Differential Equations 2 Numerical Methods for Partial Differential Equations 2 SIAM Journal on Applied Mathematics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Journal of Mechanics. B. Fluids 2 Communications in Nonlinear Science and Numerical Simulation 2 Optimization and Engineering 2 Computational Methods in Applied Mathematics 2 Science China. Mathematics 2 GEM - International Journal on Geomathematics 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Nonlinearity 1 Scandinavian Journal of Statistics 1 Chaos, Solitons and Fractals 1 The Annals of Statistics 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Journal of Applied Probability 1 SIAM Journal on Control and Optimization 1 Chinese Annals of Mathematics. Series B 1 Journal of Computational Mathematics 1 Physica D 1 Computational Mechanics 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 The Annals of Applied Probability 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Statistics and Data Analysis 1 Advances in Engineering Software 1 Computational Optimization and Applications 1 Bernoulli 1 International Journal of Computational Fluid Dynamics 1 Nonlinear Dynamics 1 Portugaliae Mathematica. Nova Série 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 International Journal of Computational Methods 1 Advances in Difference Equations 1 Communications in Applied Mathematics and Computational Science 1 Optimization Letters 1 Communications in Computational Physics 1 Inverse Problems and Imaging 1 Mathematical Geosciences 1 Advances in Applied Mathematics and Mechanics 1 Mathematical Control and Related Fields 1 European Mathematical Society Magazine all top 5 Cited in 29 Fields 173 Numerical analysis (65-XX) 95 Fluid mechanics (76-XX) 69 Partial differential equations (35-XX) 43 Statistics (62-XX) 31 Mechanics of deformable solids (74-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 25 Probability theory and stochastic processes (60-XX) 16 Computer science (68-XX) 15 Operations research, mathematical programming (90-XX) 14 Geophysics (86-XX) 13 Dynamical systems and ergodic theory (37-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Biology and other natural sciences (92-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Integral equations (45-XX) 5 Systems theory; control (93-XX) 4 Ordinary differential equations (34-XX) 3 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Optics, electromagnetic theory (78-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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