Edit Profile Gunzburger, Max D. Compute Distance To: Compute Author ID: gunzburger.max-d Published as: Gunzburger, M.; Gunzburger, M. D.; Gunzburger, Max; Gunzburger, Max D. External Links: MGP · Math-Net.Ru · Wikidata · dblp Documents Indexed: 309 Publications since 1970, including 9 Books Biographic References: 2 Publications all top 5 Co-Authors 14 single-authored 35 Du, Qiang 29 Peterson, Janet S. 28 Bochev, Pavel B. 17 Ju, Lili 16 Nicolaides, Roy A. 15 Burkardt, John V. 15 Hou, Lisheng 13 Hou, L. Steven 12 Lee, Hyung-Chun 12 Lehoucq, Richard B. 12 Wang, Xiaoming 10 Cao, Yanzhao 10 Manservisi, Sandro 10 Webster, Clayton G. 10 Zhang, Guannan 9 Fix, George J. 8 D’Elia, Marta 8 Svobodny, Thomas P. 7 Fursikov, Andreĭ Vladimirovich 7 Parks, Michael L. 6 Guan, Qingguang 5 Jiang, Nan 5 Schneier, Michael 5 Trenchea, Catalin 4 Badia, Santiago 4 Chapman, Stephen Jonathan 4 Chen, Qingshan 4 Chen, Wenbin 4 Hua, Fei 4 Lee, Eunjung 4 Saka, Yuki 4 Seleson, Pablo 4 Shadid, John N. 4 Wang, Jilu 4 Wood, Houston G. III 4 Zhao, Weidong 4 Zhao, Wenju 3 Burkhardt, John 3 Cliff, Eugene M. 3 Deang, Jennifer M. 3 He, Xiaoming 3 Kim, Hongchul 3 Kunoth, Angela 3 Lee, Hyesuk Kwon 3 Lee, Jeehyun 3 Li, Buyang 3 Liu, Chen-Huei 3 Peherstorfer, Benjamin 3 Perego, Mauro 3 Ringler, Todd D. 3 Turner, James C. jun. 3 Willcox, Karen E. 3 Xu, Feifei 3 Zhang, Yanzhi 3 Zhou, Kun 3 Zhu, Wenxiang 2 Alali, Bacim 2 Borggaard, Jeffrey T. 2 Burkovska, Olena 2 Burns, John A. 2 Calhoun-Lopez, Marcus 2 Capodaglio, Giacomo 2 Chang, Ching Lung 2 Chen, Zheng 2 Cheung, James 2 Choi, Jungmin 2 Gottlieb, David I. 2 Gu, Rui 2 Iliescu, Traian 2 Jordan, Jo Ann 2 Labovsky, Alexandr 2 Layton, William J. 2 Leng, Wei 2 Ming, Ju 2 Pieper, Konstantin 2 Price, Stephen Wheatley 2 Rozza, Gianluigi 2 Sun, Dong 2 Ting, Lu 2 Turkel, Eli L. 2 Wang, Xiaoqiang 2 Wang, Zhu 2 Yang, Huanhuan 2 Yang, Sung-Dae 2 Zhang, Xiaoping 1 Alla, Alessandro 1 Appel, Justin R. 1 Barth, Teri L. 1 Bayliss, Alvin 1 Bertagna, Luca 1 Borggaard, Jeff T. 1 Bornia, Giorgio 1 Calandrini, Sara 1 Castaño Díez, Daniel 1 Chen, Nan 1 Chen, Puying 1 Chen, Xi 1 Chrysafinos, Konstantinos 1 Cox, Christopher L. 1 Cui, Tao ...and 68 more Co-Authors all top 5 Serials 24 SIAM Journal on Numerical Analysis 23 Computer Methods in Applied Mechanics and Engineering 21 Computers & Mathematics with Applications 10 SIAM Journal on Control and Optimization 9 Journal of Computational Physics 9 Journal of Mathematical Analysis and Applications 9 Numerische Mathematik 9 SIAM Journal on Scientific Computing 8 Mathematics of Computation 6 SIAM Review 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Applied Mathematics and Computation 5 Multiscale Modeling & Simulation 5 International Journal of Numerical Analysis and Modeling 5 Communications in Computational Physics 5 SIAM/ASA Journal on Uncertainty Quantification 4 Computers and Fluids 4 Journal of Computational and Applied Mathematics 4 Numerical Mathematics: Theory, Methods and Applications 3 AIAA Journal 3 International Journal for Numerical Methods in Fluids 3 Numerical Methods for Partial Differential Equations 3 Applied Mathematics Letters 3 Journal of Scientific Computing 3 International Journal of Computer Mathematics 3 Linear Algebra and its Applications 3 SIAM Journal on Applied Mathematics 3 International Journal of Computational Fluid Dynamics 3 Journal of Mathematical Fluid Mechanics 2 IMA Journal of Numerical Analysis 2 Journal of Applied Mechanics 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Scientific and Statistical Computing 2 Journal of Computational Mathematics 2 Physica D 2 Applied Numerical Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Journal of Elasticity 2 SIAM Journal on Mathematical Analysis 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Computational Methods in Applied Mathematics 2 Oberwolfach Reports 1 Journal of Mathematical Biology 1 Journal of Sound and Vibration 1 Mathematical Methods in the Applied Sciences 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Kyungpook Mathematical Journal 1 Transactions of the American Mathematical Society 1 Optimal Control Applications & Methods 1 Chinese Annals of Mathematics. Series B 1 Parallel Computing 1 European Journal of Applied Mathematics 1 Computational Geometry 1 Numerical Algorithms 1 Advances in Mathematical Sciences and Applications 1 Zapiski Nauchnykh Seminarov POMI 1 Communications in Numerical Methods in Engineering 1 Methods and Applications of Analysis 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Fractional Calculus & Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Flow, Turbulence and Combustion 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 International Journal of Pure and Applied Mathematics 1 Communications in Mathematical Sciences 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 Applied Mathematical Sciences 1 The IMA Volumes in Mathematics and its Applications 1 Lecture Notes in Computational Science and Engineering 1 Advances in Design and Control 1 International Journal for Uncertainty Quantification 1 Results in Applied Mathematics all top 5 Fields 186 Numerical analysis (65-XX) 152 Fluid mechanics (76-XX) 131 Partial differential equations (35-XX) 56 Calculus of variations and optimal control; optimization (49-XX) 24 Mechanics of deformable solids (74-XX) 22 Probability theory and stochastic processes (60-XX) 19 Statistical mechanics, structure of matter (82-XX) 18 Systems theory; control (93-XX) 11 General and overarching topics; collections (00-XX) 10 Statistics (62-XX) 8 Integral equations (45-XX) 8 Mechanics of particles and systems (70-XX) 8 Geophysics (86-XX) 5 Real functions (26-XX) 5 Optics, electromagnetic theory (78-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Biology and other natural sciences (92-XX) 3 Functional analysis (46-XX) 3 Computer science (68-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Operations research, mathematical programming (90-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 259 Publications have been cited 5,182 times in 3,285 Documents Cited by ▼ Year ▼ Centroidal Voronoi tessellations: Applications and algorithms. Zbl 0983.65021Du, Qiang; Faber, Vance; Gunzburger, Max 204 1999 Finite element methods for viscous incompressible flows. Zbl 0697.76031Gunzburger, Max D. 179 1989 Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 176 2012 Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D. 176 2006 Perspectives in flow control and optimization. Zbl 1088.93001Gunzburger, Max D. 172 2003 Boundary conditions for the numerical solution of elliptic equations in exterior regions. Zbl 0479.65056Bayliss, Alvin; Gunzburger, Max; Turkel, Eli 151 1982 Analysis and approximation of the Ginzburg-Landau model of superconductivity. Zbl 0787.65091Du, Qiang; Gunzburger, Max D.; Peterson, Janet S. 132 1992 A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 128 2013 Least-squares finite element methods. Zbl 1168.65067Bochev, Pavel B.; Gunzburger, Max D. 122 2009 On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics. Zbl 0731.76094Gunzburger, Max D.; Meir, Amnon J.; Peterson, Janet S. 118 1991 Finite element methods of least-squares type. Zbl 0914.65108Bochev, Pavel B.; Gunzburger, Max D. 106 1998 Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 81 2010 Finite element approximations for Stokes-Darcy flow with Beavers-Joseph interface conditions. Zbl 1252.76040Cao, Yanzhao; Gunzburger, Max; Hu, Xiaolong; Hua, Fei; Wang, Xiaoming; Zhao, Weidong 79 2010 The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Zbl 1345.35128D’Elia, Marta; Gunzburger, Max 72 2013 Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan 67 2014 POD and CVT-based reduced-order modeling of Navier-Stokes flows. Zbl 1120.76323Burkardt, John; Gunzburger, Max; Lee, Hyung-Chun 63 2006 Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076Du, Q.; Gunzburger, M. D.; Hou, L. S.; Lee, J. 60 2003 Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. Zbl 0970.35096Gunzburger, Max D.; Lee, Hyung-Chun; Seregin, Gregory A. 59 2000 Boundary velocity control of incompressible flow with an application to viscous drag reduction. Zbl 0756.49004Gunzburger, Max D.; Hou, Lisheng; Svobodny, Thomas P. 57 1992 Continuous and discontinuous finite element methods for a peridynamics model of mechanics. Zbl 1225.74082Chen, X.; Gunzburger, Max 55 2011 A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057Gunzburger, Max; Lehoucq, R. B. 55 2010 Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 06917740Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 54 2018 A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 54 2011 Analysis of least squares finite element methods for the Stokes equations. Zbl 0816.65082Bochev, Pavel B.; Gunzburger, Max D. 53 1994 Analysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed control. Zbl 0963.35150Gunzburger, M. D.; Manservisi, S. 52 2000 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 51 2014 Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 51 2011 Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data. Zbl 1121.65354Gunzburger, Max D.; Peterson, Janet S.; Shadid, John N. 51 2007 Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls. Zbl 0737.76045Gunzburger, M. D.; Hou, L. S.; Svobodny, Th. P. 49 1991 Finite-dimensional approximation of a class of constrained nonlinear optimal control problems. Zbl 0849.49005Gunzburger, Max D.; Hou, L. Steven 44 1996 Issues related to least-squares finite element methods for the Stokes equations. Zbl 0953.65083Deang, Jennifer M.; Gunzburger, Max D. 43 1999 Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations. Zbl 1067.76562Bochev, Pavel B.; Gunzburger, Max D. 43 1995 Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B. 41 2009 A taxonomy of consistently stabilized finite element methods for the Stokes problem. Zbl 1133.76307Barth, Teri; Bochev, Pavel; Gunzburger, Max; Shadid, John 41 2004 Constrained centroidal Voronoi tessellations for surfaces. Zbl 1036.65101Du, Qiang; Gunzburger, Max D.; Ju, Lili 40 2003 The velocity tracking problem for Navier-Stokes flows with bounded distributed controls. Zbl 0938.35118Gunzburger, M. D.; Manservisi, S. 40 1999 Fractional diffusion on bounded domains. Zbl 06418052Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M. 39 2015 Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force. Zbl 1173.74303Fish, Jacob; Nuggehally, Mohan A.; Shephard, Mark S.; Picu, Catalin R.; Badia, Santiago; Parks, Michael L.; Gunzburger, Max 39 2007 Analysis of a Ladyzhenskaya model for incompressible viscous flow. Zbl 0712.76039Du, Qiang; Gunzburger, Max D. 38 1991 A multilevel stochastic collocation method for partial differential equations with random input data. Zbl 1327.65014Teckentrup, A. L.; Jantsch, P.; Webster, C. G.; Gunzburger, M. 37 2015 The velocity tracking problem for Navier-Stokes flows with boundary control. Zbl 0991.49002Gunzburger, M. D.; Manservisi, S. 37 2000 Self-contained automated methodology for optimal flow control. Zbl 0901.76067Joslin, Ronald D.; Gunzburger, Max D.; Nicolaides, Roy A.; Erlebacher, Gordon; Hussaini, M. Yousuff 36 1997 Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with distributed and Neumann controls. Zbl 0747.76063Gunzburger, M. D.; Hou, L.; Svobodny, T. P. 36 1991 Grid generation and optimization based on centroidal Voronoi tessellations. Zbl 1024.65118Du, Qiang; Gunzburger, Max 35 2002 Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 34 2013 On atomistic-to-continuum coupling by blending. Zbl 1160.65338Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 34 2008 Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 31 2013 An absolutely stable pressure-Poisson stabilized finite element method for the Stokes equations. Zbl 1159.76346Bochev, Pavel; Gunzburger, Max 31 2004 On finite element methods of the least squares type. Zbl 0422.65064Fix, George J.; Gunzburger, Max D.; Nicolaides, R. A. 31 1979 Boundary value problems and optimal boundary control for the Navier-Stokes system: The two-dimensional case. Zbl 0910.76011Fursikov, A. V.; Gunzburger, M. D.; Hou, L. S. 30 1998 Accuracy of least-squares methods for the Navier–Stokes equations. Zbl 0779.76039Bochev, Pavel B.; Gunzburger, Max D. 30 1993 On mixed finite element methods for first order elliptic systems. Zbl 0459.65072Fix, G. J.; Gunzburger, M. D.; Nicolaides, R. A. 30 1981 Asymptotic analysis of the differences between the Stokes-Darcy system with different interface conditions and the Stokes-Brinkman system. Zbl 1352.35093Chen, Nan; Gunzburger, Max; Wang, Xiaoming 29 2010 On stabilized finite element methods for the Stokes problem in the small time step limit. Zbl 1104.76059Bochev, Pavel B.; Gunzburger, Max D.; Lehoucq, Richard B. 29 2007 Sensitivities, adjoints and flow optimization. Zbl 0962.76030Gunzburger, Max D. 27 1999 Stability of the SUPG finite element method for transient advection-diffusion problems. Zbl 1067.76563Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 26 2004 Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 25 2016 Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010Seleson, Pablo; Gunzburger, Max; Parks, Michael L. 24 2013 On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations. Zbl 1064.76118Gunzburger, M. D.; Ladyzhenskaya, O. A.; Peterson, J. S. 24 2004 A Ginzburg-Landau type model of superconducting normal junctions including Josephson junctions. Zbl 0843.35120Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D. 24 1995 Adjoint equation-based methods for control problems in incompressible, viscous flows. Zbl 0996.76024Gunzburger, Max 23 2000 An ensemble-proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1394.76067Gunzburger, Max; Jiang, Nan; Schneier, Michael 22 2017 Optimal boundary control for the evolutionary Navier-Stokes system: The three-dimensional case. Zbl 1076.76029Fursikov, A. V.; Gunzburger, M. D.; Hou, L. S. 22 2005 An optimization-based domain decomposition method for the Navier-Stokes equations. Zbl 1003.76024Gunzburger, Max D.; Lee, Hyesuk Kwon 22 2000 Incompressible computational fluid dynamics: trends and advances. Zbl 1190.76004Gunzburger, Max D. (ed.); Nicolaides, Roy A. (ed.) 22 1993 Finite-element approximations of a Ladyzhenskaya model for stationary incompressible viscous flow. Zbl 0697.76046Du, Qiang; Gunzburger, Max D. 22 1990 Error estimates of stochastic optimal Neumann boundary control problems. Zbl 1243.65008Gunzburger, Max D.; Lee, Hyung-Chun; Lee, Jangwoon 21 2011 Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Zbl 1014.68202Ju, Lili; Du, Qiang; Gunzburger, Max 21 2002 An optimization based domain decomposition method for partial differential equations. Zbl 0941.65123Gunzburger, M. D.; Peterson, J. S.; Kwon, H. 21 1999 A finite element method for first order elliptic systems in three dimensions. Zbl 0631.65108Chang, Ching-Lung; Gunzburger, Max D. 21 1987 Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi-Delaunay triangulations. Zbl 1126.65099Ju, Lili; Gunzburger, Max; Zhao, Weidong 20 2006 Centroidal Voronoi tessellation-based reduced-order modeling of complex systems. Zbl 1111.65084Burkardt, John; Gunzburger, Max; Lee, Hyung-Chun 20 2006 A model for variable thickness superconducting thin films. Zbl 0862.35119Chapman, S. J.; Du, Qiang; Gunzburger, M. D. 20 1996 On numerical boundary treatment of hyperbolic systems for finite difference and finite element methods. Zbl 0481.65072Gottlieb, David; Gunzburger, Max; Turkel, Eli 20 1982 On least squares approximations to indefinite problems of the mixed type. Zbl 0378.76046Fix, George J.; Gunzburger, Max D. 20 1978 On inf–sup stabilized finite element methods for transient problems. Zbl 1079.76577Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 19 2004 Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032Du, Qiang; Gunzburger, Max; Ju, Lili 18 2010 Superconvergence analysis of FEMs for the Stokes-Darcy system. Zbl 1303.76086Chen, Wenbin; Chen, Puying; Gunzburger, Max; Yan, Ningning 18 2010 On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles. Zbl 1128.76031Bochev, Pavel; Gunzburger, Max 18 2005 Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. Zbl 1046.65094Du, Qiang; Gunzburger, Max D.; Ju, Lili 18 2003 On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations. Zbl 0559.76026Gunzburger, Max D.; Peterson, Janet S. 18 1983 Least-squares finite element approximations to solutions of interface problems. Zbl 0913.65096Cao, Yanzhao; Gunzburger, Max D. 17 1998 Existence of an optimal solution of a shape control problem for the stationary Navier-Stokes equations. Zbl 0917.49004Gunzburger, Max D.; Kim, Hongchul 17 1998 An adaptive wavelet stochastic collocation method for irregular solutions of partial differential equations with random input data. Zbl 1316.65011Gunzburger, Max; Webster, Clayton G.; Zhang, Guannan 16 2014 A locally conservative least-squares method for Darcy flows. Zbl 1191.76066Bochev, P. B.; Gunzburger, M. D. 16 2008 Analysis and discretization of an optimal control problem for the time-periodic MHD equations. Zbl 1073.49003Gunzburger, Max; Trenchea, Catalin 15 2005 Feedback control of Karman vortex shedding. Zbl 0875.76073Gunzburger, M. D.; Lee, H. C. 15 1996 A subdomain-Galerkin/least squares method for first-order elliptic systems in the plane. Zbl 0717.65087Chang, Ching-Lung; Gunzburger, Max D. 15 1990 A sparse-grid method for multi-dimensional backward stochastic differential equations. Zbl 1289.65011Zhang, Guannan; Gunzburger, Max; Zhao, Weidong 14 2013 Analysis of an optimal control problem for the three-dimensional coupled modified Navier-Stokes and Maxwell equations. Zbl 1158.49003Gunzburger, Max; Trenchea, Catalin 14 2007 Analysis, approximation, and computation of a coupled solid/fluid temperature control problem. Zbl 0847.76074Gunzburger, Max D.; Lee, Hyung C. 14 1994 A model for superconducting thin films having variable thickness. Zbl 0794.58049Du, Qiang; Gunzburger, Max D. 14 1993 Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of boundary stresses. Zbl 0748.76073Gunzburger, Max D.; Hou, Steven L. 14 1992 On finite element approximations of problems having inhomogeneous essential boundary conditions. Zbl 0531.65056Fix, George J.; Gunzburger, Max D.; Peterson, Janet S. 14 1983 Energy conserving norms for the solution of hyperbolic systems of partial differential equations. Zbl 0395.35060Gunzburger, Max D.; Plemmons, Robert J. 14 1979 An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Zbl 1388.76127Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 13 2016 Peridynamic state-based models and the embedded-atom model. Zbl 1373.82029Seleson, Pablo; Parks, Michael L.; Gunzburger, Max 13 2014 Least-squares finite element methods. Zbl 1100.65098Bochev, Pavel; Gunzburger, Max 13 2006 Meshfree, probabilistic determination of point sets and support regions for meshless computing. Zbl 0993.65009Du, Qiang; Gunzburger, Max; Ju, Lili 13 2002 Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits. Zbl 1282.76172Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 12 2011 A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows. Zbl 07199496Gunzburger, Max; Iliescu, Traian; Schneier, Michael 2 2020 An energy-based coupling approach to nonlocal interface problems. Zbl 07211869Capodaglio, Giacomo; D’Elia, Marta; Bochev, Pavel; Gunzburger, Max 1 2020 Regularity analyses and approximation of nonlocal variational equality and inequality problems. Zbl 1421.49009Burkovska, O.; Gunzburger, M. 5 2019 A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157Gunzburger, Max; Jiang, Nan; Wang, Zhu 4 2019 Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. Zbl 1418.60077Gunzburger, Max; Li, Buyang; Wang, Jilu 4 2019 Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries. Zbl 1417.65186Cheung, James; Perego, Mauro; Bochev, Pavel; Gunzburger, Max 3 2019 Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. Zbl 07037308Gunzburger, Max; Li, Buyang; Wang, Jilu 3 2019 A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060Gunzburger, Max; Wang, Jilu 3 2019 A localized reduced-order modeling approach for PDEs with bifurcating solutions. Zbl 1441.65082Hess, Martin; Alla, Alessandro; Quaini, Annalisa; Rozza, Gianluigi; Gunzburger, Max 1 2019 Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 06917740Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 54 2018 On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. Zbl 06838252Gunzburger, Max; He, Xiaoming; Li, Buyang 10 2018 A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207Gunzburger, Max; Jiang, Nan; Schneier, Michael 7 2018 Weak-Galerkin finite element methods for a second-order elliptic variational inequality. Zbl 1440.65204Guan, Qingguang; Gunzburger, Max; Zhao, Wenju 3 2018 Convergence analysis of multifidelity Monte Carlo estimation. Zbl 1394.35492Peherstorfer, Benjamin; Gunzburger, Max; Willcox, Karen 3 2018 Analysis and approximation of a fractional Laplacian-based closure model for turbulent flows and its connection to Richardson pair dispersion. Zbl 1409.76061Gunzburger, Max; Jiang, Nan; Xu, Feifei 2 2018 An ensemble-proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1394.76067Gunzburger, Max; Jiang, Nan; Schneier, Michael 22 2017 Analysis and approximation of a nonlocal obstacle problem. Zbl 1353.65064Guan, Qingguang; Gunzburger, Max 6 2017 Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard 2 2017 Comparison of approaches for random PDE optimization problems based on different matching functionals. Zbl 1370.49032Lee, Hyung-Chun; Gunzburger, Max D. 2 2017 Algorithms and analyses for stochastic optimization for turbofan noise reduction using parallel reduced-order modeling. Zbl 1439.76136Yang, Huanhuan; Gunzburger, Max 1 2017 Reduced basis methods for nonlocal diffusion problems with random input data. Zbl 1439.74415Guan, Qingguang; Gunzburger, Max; Webster, Clayton G.; Zhang, Guannan 1 2017 Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 25 2016 An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Zbl 1388.76127Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 13 2016 Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. Zbl 1356.65239Tian, Xiaochuan; Du, Qiang; Gunzburger, Max 9 2016 Identification of the diffusion parameter in nonlocal steady diffusion problems. Zbl 1342.49053D’Elia, M.; Gunzburger, M. 7 2016 Hyperspherical sparse approximation techniques for high-dimensional discontinuity detection. Zbl 1386.65083Zhang, Guannan; Webster, Clayton G.; Gunzburger, Max; Burkardt, John 5 2016 A multiscale method for nonlocal mechanics and diffusion and for the approximation of discontinuous functions. Zbl 1436.74076Xu, Feifei; Gunzburger, Max; Burkardt, John 4 2016 A two phase field model for tracking vesicle-vesicle adhesion. Zbl 1366.92019Gu, Rui; Wang, Xiaoqiang; Gunzburger, Max 4 2016 Quadrature rules for finite element approximations of 1D nonlocal problems. Zbl 1349.65729Zhang, Xiaoping; Gunzburger, Max; Ju, Lili 4 2016 A multiscale implementation based on adaptive mesh refinement for the nonlocal peridynamics model in one dimension. Zbl 1381.74214Xu, Feifei; Gunzburger, Max; Burkardt, John; Du, Qiang 4 2016 Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems. Zbl 1425.65215Zhang, Xiaoping; Gunzburger, Max; Ju, Lili 1 2016 Fractional diffusion on bounded domains. Zbl 06418052Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M. 39 2015 A multilevel stochastic collocation method for partial differential equations with random input data. Zbl 1327.65014Teckentrup, A. L.; Jantsch, P.; Webster, C. G.; Gunzburger, M. 37 2015 \(\theta\) schemes for finite element discretization of the space-time fractional diffusion equations. Zbl 1320.65141Guan, Qingguang; Gunzburger, Max 10 2015 Peridynamics and material interfaces. Zbl 1455.74009Alali, Bacim; Gunzburger, Max 6 2015 Stability and accuracy of time-stepping schemes and dispersion relations for a nonlocal wave equation. Zbl 1309.65106Guan, Qingguang; Gunzburger, Max 6 2015 Stability and convergence of time-stepping methods for a nonlocal model for diffusion. Zbl 1334.65145Guan, Qingguang; Gunzburger, Max 4 2015 A generalized nonlocal vector calculus. Zbl 1331.26018Alali, Bacim; Liu, Kuo; Gunzburger, Max 2 2015 Power-law noises over general spatial domains and on nonstandard meshes. Zbl 1322.65024van Wyk, Hans-Werner; Gunzburger, Max; Burkhardt, John; Stoyanov, Miroslav 2 2015 A hyperspherical adaptive sparse-grid method for high-dimensional discontinuity detection. Zbl 1317.65058Zhang, G.; Webster, C.; Gunzburger, M.; Burkardt, J. 2 2015 Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan 67 2014 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 51 2014 An adaptive wavelet stochastic collocation method for irregular solutions of partial differential equations with random input data. Zbl 1316.65011Gunzburger, Max; Webster, Clayton G.; Zhang, Guannan 16 2014 Peridynamic state-based models and the embedded-atom model. Zbl 1373.82029Seleson, Pablo; Parks, Michael L.; Gunzburger, Max 13 2014 Optimal distributed control of nonlocal steady diffusion problems. Zbl 1298.49006D’Elia, Marta; Gunzburger, Max 10 2014 Simulating vesicle-substrate adhesion using two phase field functions. Zbl 1349.92050Gu, R.; Wang, X.; Gunzburger, M. 6 2014 An adaptive sparse-grid iterative ensemble Kalman filter approach for parameter field estimation. Zbl 1383.76393Webster, Clayton G.; Zhang, Guannan; Gunzburger, Max 5 2014 An efficient and accurate method for the identification of the most influential random parameters appearing in the input data for PDEs. Zbl 1426.76634Labovsky, A.; Gunzburger, Max 4 2014 A parallel computational model for three-dimensional, thermo-mechanical Stokes flow simulations of glaciers and ice sheets. Zbl 1373.86004Leng, Wei; Ju, Lili; Gunzburger, Max; Price, Stephen 2 2014 Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation. Zbl 1351.86030Leng, Wei; Ju, Lili; Xie, Yan; Cui, Tao; Gunzburger, Max 2 2014 Editorial: Minimum residual and least squares finite element methods. Zbl 1365.00053Bochev, Pavel (ed.); Demkowicz, Leszek (ed.); Gopalakrishnan, Jay (ed.); Gunzburger, Max (ed.) 1 2014 Goal-oriented a posteriori error estimation for finite volume methods. Zbl 1293.65116Chen, Qingshan; Gunzburger, Max 1 2014 A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 128 2013 The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Zbl 1345.35128D’Elia, Marta; Gunzburger, Max 72 2013 Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 34 2013 Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 31 2013 Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010Seleson, Pablo; Gunzburger, Max; Parks, Michael L. 24 2013 A sparse-grid method for multi-dimensional backward stochastic differential equations. Zbl 1289.65011Zhang, Guannan; Gunzburger, Max; Zhao, Weidong 14 2013 A co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids. Zbl 1426.76346Chen, Qingshan; Ringler, Todd; Gunzburger, Max 8 2013 Coarse-grid sampling interpolatory methods for approximating Gaussian random fields. Zbl 1401.60094D’Elia, Marta; Gunzburger, Max 5 2013 Well-posedness results for a nonlinear Stokes problem arising in glaciology. Zbl 1282.35292Chen, Qingshan; Gunzburger, Max; Perego, Mauro 4 2013 A distributed control approach for the boundary optimal control of the steady MHD equations. Zbl 1373.76339Bornia, G.; Gunzburger, M.; Manservisi, S. 2 2013 Unified matching grids for multidomain multiphysics simulations. Zbl 1285.65081Womeldorff, G.; Peterson, J.; Gunzburger, M.; Ringler, T. 1 2013 Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 176 2012 Error analysis of a stochastic collocation method for parabolic partial differential equations with random input data. Zbl 1260.65007Zhang, Guannan; Gunzburger, Max 10 2012 High accuracy method for turbulent flow problems. Zbl 1437.76039Gunzburger, M.; Labovsky, A. 10 2012 Continuous and discontinuous finite element methods for a peridynamics model of mechanics. Zbl 1225.74082Chen, X.; Gunzburger, Max 55 2011 A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 54 2011 Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 51 2011 Error estimates of stochastic optimal Neumann boundary control problems. Zbl 1243.65008Gunzburger, Max D.; Lee, Hyung-Chun; Lee, Jangwoon 21 2011 Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits. Zbl 1282.76172Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 12 2011 Space-time adaptive wavelet methods for optimal control problems constrained by parabolic evolution equations. Zbl 1232.65099Gunzburger, Max D.; Kunoth, Angela 9 2011 Coupled models and parallel simulations for three-dimensional full-Stokes ice sheet modeling. Zbl 1265.76046Zhang, Huai; Ju, Lili; Gunzburger, Max; Ringler, Todd; Price, Stephen 6 2011 Analysis of finite element discretizations of an optimal control formulation of the image registration problem. Zbl 1254.65036Lee, Eunjung; Gunzburger, Max 5 2011 Optimal control of stochastic flow over a backward-facing step using reduced-order modeling. Zbl 1232.93097Gunzburger, Max; Ming, Ju 4 2011 Effects of approximate deconvolution models on the solution of the stochastic Navier-Stokes equations. Zbl 1249.65209Gunzburger, M.; Labovsky, A. 2 2011 Pink noise, \(1/f^\alpha\) noise, and their effect on solutions of differential equations. Zbl 1229.65028Stoyanov, Miro; Gunzburger, Max; Burkardt, John 1 2011 Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 81 2010 Finite element approximations for Stokes-Darcy flow with Beavers-Joseph interface conditions. Zbl 1252.76040Cao, Yanzhao; Gunzburger, Max; Hu, Xiaolong; Hua, Fei; Wang, Xiaoming; Zhao, Weidong 79 2010 A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057Gunzburger, Max; Lehoucq, R. B. 55 2010 Asymptotic analysis of the differences between the Stokes-Darcy system with different interface conditions and the Stokes-Brinkman system. Zbl 1352.35093Chen, Nan; Gunzburger, Max; Wang, Xiaoming 29 2010 Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032Du, Qiang; Gunzburger, Max; Ju, Lili 18 2010 Superconvergence analysis of FEMs for the Stokes-Darcy system. Zbl 1303.76086Chen, Wenbin; Chen, Puying; Gunzburger, Max; Yan, Ningning 18 2010 A quadrature-rule type approximation to the quasi-continuum method. Zbl 1188.70046Gunzburger, Max; Zhang, Yanzhi 10 2010 Quadrature-rule type approximations to the quasicontinuum method for long-range interatomic interactions. Zbl 1227.74121Zhang, Yanzhi; Gunzburger, Max 9 2010 Bridging methods for atomistic-to-continuum coupling and their implementation. Zbl 1364.74020Seleson, Pablo; Gunzburger, Max 7 2010 A locally conservative mimetic least-squares finite element method for the Stokes equations. Zbl 1280.76016Bochev, Pavel; Gunzburger, Max 4 2010 Error analysis of finite element approximations of the stochastic Stokes equations. Zbl 1237.65008Cao, Yanzhao; Chen, Zheng; Gunzburger, Max 4 2010 Analysis of nonlinear spectral eddy-viscosity models of turbulence. Zbl 1203.76077Gunzburger, Max; Lee, Eunjung; Saka, Yuki; Trenchea, Catalin; Wang, Xiaoming 3 2010 Blending methods for coupling atomistic and continuum models. Zbl 1432.74001Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M. 2 2010 Least-squares finite element methods. Zbl 1168.65067Bochev, Pavel B.; Gunzburger, Max D. 122 2009 Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B. 41 2009 ANOVA expansions and efficient sampling methods for parameter dependent nonlinear PDEs. Zbl 1161.65336Cao, Yanzhao; Chen, Zheng; Gunzburger, Max 12 2009 Adaptive anisotropic meshing for steady convection-dominated problems. Zbl 1229.76055Nguyen, Hoa; Gunzburger, Max; Ju, Lili; Burkardt, John 9 2009 Constrained CVT meshes and a comparison of triangular mesh generators. Zbl 1152.65035Nguyen, Hoa; Burkardt, John; Gunzburger, Max; Ju, Lili; Saka, Yuki 8 2009 Well-posedness of the infinite Prandtl number model for convection with temperature-dependent viscosity. Zbl 1169.35369Gunzburger, Max; Saka, Yuki; Wang, Xiaoming 5 2009 Computational investigation of the effects of sample geometry on the superconducting-normal phase boundary and vortex-antivortex states in mesoscopic superconductors. Zbl 1364.82069Kim, Sangbum; Gunzburger, Max; Peterson, Janet; Hu, Chia-Ren 1 2009 The Ginzburg-Landau equations for superconductivity with random fluctuations. Zbl 1172.35083Fursikov, Andrei; Gunzburger, Max; Peterson, Janet 1 2009 On atomistic-to-continuum coupling by blending. Zbl 1160.65338Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 34 2008 A locally conservative least-squares method for Darcy flows. Zbl 1191.76066Bochev, P. B.; Gunzburger, M. D. 16 2008 ...and 159 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,415 Authors 120 Gunzburger, Max D. 77 Du, Qiang 39 Li, Jian 37 He, Yinnian 33 Ju, Lili 30 Layton, William J. 29 Bochev, Pavel B. 28 Rozza, Gianluigi 27 Hou, Yanren 26 Chen, Zhangxin 25 Luo, Zhendong 23 Feng, Xinlong 23 Yang, Suh-Yuh 21 Huang, Pengzhan 21 Protas, Bartosz 19 Zheng, Haibiao 18 Lee, Hyung-Chun 18 Takahashi, Takéo 17 Gerritsma, Marc I. 17 Pan, Xingbin 16 He, Xiaoming 16 Tian, Xiaochuan 16 Wang, Zhu 15 Chen, Yanping 15 Iliescu, Traian 15 Lee, Hyesuk Kwon 15 Navon, Ionel Michael 14 Quarteroni, Alfio M. 14 Rebholz, Leo G. 14 Webster, Clayton G. 13 Alekseev, Gennady V. 13 Huang, Yunqing 13 Manzoni, Andrea 13 Mei, Liquan 13 Peherstorfer, Benjamin 13 Ravindran, Sivaguru S. 13 Wang, Xiaoming 12 D’Elia, Marta 12 Fix, George J. 12 Lu, Zuliang 12 Si, Zhiyong 12 Trenchea, Catalin 12 Turkel, Eli L. 12 Warma, Mahamadi 12 Zhang, Guodong 11 An, Rong 11 Chrysafinos, Konstantinos 11 Codina, Ramon 11 Ervin, Vincent J. 11 Jiang, Bo-Nan 11 Lehoucq, Richard B. 11 Meir, Amnon J. 11 Peterson, Janet S. 11 Shadid, John N. 11 Tröltzsch, Fredi 11 Wang, Hong 10 Burkardt, John V. 10 Djellouli, Rabia 10 Hou, L. Steven 10 Li, Buyang 10 Li, Yuan 10 Liu, Steve Wenbin 10 Manservisi, Sandro 10 Mengesha, Tadele 10 Su, Haiyan 10 Triggiani, Roberto 9 Antoine, Xavier 9 Carey, Graham Francis 9 Chang, Ching Lung 9 Chen, Wenbin 9 Duan, Huoyuan 9 Feng, Minfu 9 Jin, Shi 9 Khan, Akhtar Ali 9 Kim, Sangdong 9 Kunisch, Karl 9 Labovsky, Alexander E. 9 Lasiecka, Irena 9 Reddy, Junuthula Narasimha 9 Shi, Dongyang 9 Shi, Feng 9 Singler, John R. 9 Wang, Desheng 9 Willcox, Karen E. 9 Yan, Ningning 9 Zhang, Guannan 9 Zhang, Tong 9 Zuo, Liyun 8 Aksoylu, Burak 8 Barucq, Hélène 8 Bellido, José Carlos 8 Borggaard, Jeff T. 8 Bronsard, Lia 8 Cai, Xiao-Chuan 8 Cao, Yanzhao 8 Carstensen, Carsten 8 Chen, Gang 8 Ghattas, Omar N. 8 Hinze, Michael 8 Hou, Lisheng ...and 4,315 more Authors all top 5 Cited in 339 Serials 330 Computer Methods in Applied Mechanics and Engineering 240 Journal of Computational Physics 173 Computers & Mathematics with Applications 140 Journal of Computational and Applied Mathematics 111 Applied Mathematics and Computation 107 Journal of Scientific Computing 85 Applied Numerical Mathematics 75 SIAM Journal on Scientific Computing 72 SIAM Journal on Numerical Analysis 71 Journal of Mathematical Analysis and Applications 67 International Journal for Numerical Methods in Engineering 62 Numerische Mathematik 55 Numerical Methods for Partial Differential Equations 53 Computers and Fluids 53 Mathematics of Computation 46 International Journal for Numerical Methods in Fluids 41 Computational Mechanics 38 Numerical Functional Analysis and Optimization 36 Nonlinear Analysis. 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Fluids 10 Archives of Computational Methods in Engineering 9 Calcolo 9 Computer Aided Geometric Design 9 Applications of Mathematics 9 Journal of Mathematical Fluid Mechanics 9 Science China. Mathematics 9 Evolution Equations and Control Theory 8 International Journal of Control 8 Inverse Problems 8 Wave Motion 8 Applied Mathematics and Optimization 8 Journal of Optimization Theory and Applications 8 Chinese Annals of Mathematics. Series B 8 Mathematical and Computer Modelling 8 Japan Journal of Industrial and Applied Mathematics 8 East Asian Journal on Applied Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications 7 Communications in Mathematical Physics 7 BIT 7 Computing 7 Linear Algebra and its Applications 7 Mathematics and Mechanics of Solids 7 Fractional Calculus & Applied Analysis 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 International Journal of Computational Methods 6 Journal of Engineering Mathematics 6 Automatica 6 Journal of Functional Analysis 6 Science in China. Series A 6 SIAM Review 6 Computational Optimization and Applications 6 International Journal of Numerical Methods for Heat & Fluid Flow 6 Optimization and Engineering 6 Lobachevskii Journal of Mathematics 6 Foundations of Computational Mathematics 6 Advances in Difference Equations 5 Journal of the Mechanics and Physics of Solids 5 Siberian Mathematical Journal 5 Systems & Control Letters 5 Optimization 5 Applied Mathematics. Series B (English Edition) 5 Computational and Applied Mathematics ...and 239 more Serials all top 5 Cited in 49 Fields 1,868 Numerical analysis (65-XX) 1,452 Fluid mechanics (76-XX) 1,306 Partial differential equations (35-XX) 456 Mechanics of deformable solids (74-XX) 392 Calculus of variations and optimal control; optimization (49-XX) 178 Statistical mechanics, structure of matter (82-XX) 145 Probability theory and stochastic processes (60-XX) 136 Systems theory; control (93-XX) 92 Optics, electromagnetic theory (78-XX) 85 Integral equations (45-XX) 74 Statistics (62-XX) 67 Operations research, mathematical programming (90-XX) 66 Computer science (68-XX) 66 Biology and other natural sciences (92-XX) 61 Operator theory (47-XX) 58 Classical thermodynamics, heat transfer (80-XX) 54 Geophysics (86-XX) 44 Ordinary differential equations (34-XX) 36 Functional analysis (46-XX) 35 Approximations and expansions (41-XX) 31 Real functions (26-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 23 Global analysis, analysis on manifolds (58-XX) 22 Dynamical systems and ergodic theory (37-XX) 22 Mechanics of particles and systems (70-XX) 21 Quantum theory (81-XX) 19 Information and communication theory, circuits (94-XX) 13 Convex and discrete geometry (52-XX) 12 Combinatorics (05-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Special functions (33-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 General and overarching topics; collections (00-XX) 8 Measure and integration (28-XX) 8 Differential geometry (53-XX) 5 Potential theory (31-XX) 5 Difference and functional equations (39-XX) 3 History and biography (01-XX) 3 Astronomy and astrophysics (85-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Mathematics education (97-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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