Edit Profile (opens in new tab) Gunzburger, Max Donald Co-Author Distance Author ID: gunzburger.max-d Published as: Gunzburger, Max; Gunzburger, Max D.; Gunzburger, M. D.; Gunzburger, M. more...less External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 332 Publications since 1970, including 4 Books and 8 Additional arXiv Preprints 11 Contributions as Editor Biographic References: 4 Publications Co-Authors: 172 Co-Authors with 325 Joint Publications 4,472 Co-Co-Authors all top 5 Co-Authors 15 single-authored 37 Du, Qiang 33 Bochev, Pavel B. 29 Peterson, Janet S. 25 Ju, Lili 16 D’Elia, Marta 16 Nicolaides, Roy A. 15 Burkardt, John V. 13 Lee, Hyung-Chun 12 Lehoucq, Richard B. 12 Wang, Xiaoming 10 Cao, Yanzhao 10 Hou, L. Steven 10 Manservisi, Sandro 10 Webster, Clayton G. 10 Zhang, Guannan 9 Fix, George J. 9 Wang, Zhu 8 Svobodny, Thomas P. 7 Fursikov, Andreĭ Vladimirovich 7 Guan, Qingguang 7 Parks, Michael L. 6 Capodaglio, Giacomo 6 Perego, Mauro 6 Schneier, Michael 5 Chen, Qingshan 5 Cheung, James 5 Hou, Lisheng 5 Jiang, Nan 5 Lee, Eunjung 5 Trenchea, Catalin 5 Vollmann, Christian 5 Wang, Jilu 5 Zhao, Wenju 4 Badia, Santiago 4 Chapman, Stephen Jonathan 4 Chen, Wenbin 4 Gruber, Anthony 4 Hua, Fei 4 Lee, Hyesuk Kwon 4 Li, Buyang 4 Ming, Ju 4 Ringler, Todd D. 4 Saka, Yuki 4 Seleson, Pablo 4 Shadid, John N. 4 Willcox, Karen E. 4 Wood, Houston G. III 4 Zhao, Weidong 3 Alali, Bacim 3 Burkhardt, John 3 Burkovska, Olena 3 Cliff, Eugene M. 3 Deang, Jennifer M. 3 He, Xiaoming 3 Iliescu, Traian 3 Kim, Hongchul 3 Kunoth, Angela 3 Lan, Rihui 3 Lee, Jeehyun 3 Leng, Wei 3 Liu, Chen-Huei 3 Peherstorfer, Benjamin 3 Rozza, Gianluigi 3 Turner, James C. jun. 3 Wang, Xiaoqiang 3 Xu, Feifei 3 Zhang, Xiaoping 3 Zhang, Yanzhi 3 Zhou, Kun 3 Zhu, Wenxiang 2 Burns, John A. 2 Calhoun-Lopez, Marcus 2 Chang, Ching Lung 2 Chen, Zheng 2 Choi, Jungmin 2 Gottlieb, David I. 2 Gu, Rui 2 Jordan, Jo Ann 2 Klar, Manuel 2 Layton, William J. 2 Liu, Kuo 2 Mohebujjaman, Muhammad 2 Pieper, Konstantin 2 Sun, Dong 2 Teckentrup, Aretha L. 2 Tian, Xiaochuan 2 Ting, Lu 2 Turkel, Eli L. 2 Wu, Xiaonan 2 Yang, Huanhuan 2 Yang, Sung-Dae 1 Alla, Alessandro 1 Appel, Justin R. 1 Barth, Teri L. 1 Bayliss, Alvin 1 Bertagna, Luca 1 Borggaard, Jeff T. 1 Borggaard, Jeffrey T. 1 Bornia, Giorgio 1 Calandrini, Sara ...and 73 more Co-Authors all top 5 Serials 26 Computer Methods in Applied Mechanics and Engineering 24 SIAM Journal on Numerical Analysis 22 Computers & Mathematics with Applications 11 Journal of Computational Physics 10 SIAM Journal on Control and Optimization 10 SIAM Journal on Scientific Computing 9 Journal of Mathematical Analysis and Applications 9 Numerische Mathematik 8 Mathematics of Computation 6 SIAM Review 6 Communications in Computational Physics 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Applied Mathematics and Computation 5 Journal of Computational and Applied Mathematics 5 Numerical Methods for Partial Differential Equations 5 Multiscale Modeling & Simulation 5 International Journal of Numerical Analysis and Modeling 5 Numerical Mathematics: Theory, Methods and Applications 5 SIAM/ASA Journal on Uncertainty Quantification 4 Computers and Fluids 4 Applied Mathematics Letters 4 Journal of Scientific Computing 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 AIAA Journal 3 International Journal for Numerical Methods in Fluids 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 Applied Mathematics and Optimization 2 International Journal for Numerical Methods in Engineering 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 Journal of Elasticity 2 SIAM Journal on Mathematical Analysis 2 Journal of Mathematical Imaging and Vision 2 Advances in Computational Mathematics 2 Discrete and Continuous Dynamical Systems. Series B 2 Computational Methods in Applied Mathematics 2 Acta Numerica 2 Oberwolfach Reports 2 Lecture Notes in Computational Science and Engineering 2 International Journal for Uncertainty Quantification 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 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 Vietnam Journal of Mathematics 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 Applied Mathematical Sciences 1 The IMA Volumes in Mathematics and its Applications 1 Progress in Systems and Control Theory 1 Advances in Design and Control 1 Computational Science & Engineering 1 Results in Applied Mathematics all top 5 Fields 213 Numerical analysis (65-XX) 162 Fluid mechanics (76-XX) 144 Partial differential equations (35-XX) 58 Calculus of variations and optimal control; optimization (49-XX) 26 Mechanics of deformable solids (74-XX) 23 Probability theory and stochastic processes (60-XX) 20 Systems theory; control (93-XX) 19 Statistical mechanics, structure of matter (82-XX) 12 General and overarching topics; collections (00-XX) 12 Integral equations (45-XX) 11 Statistics (62-XX) 11 Geophysics (86-XX) 8 Mechanics of particles and systems (70-XX) 7 Real functions (26-XX) 6 Computer science (68-XX) 5 Optics, electromagnetic theory (78-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Operations research, mathematical programming (90-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 300 Publications have been cited 8,799 times in 5,445 Documents Cited by ▼ Year ▼ Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168 Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 367 2012 Finite element methods for viscous incompressible flows. Zbl 0697.76031 Gunzburger, Max D. 344 1989 Centroidal Voronoi tessellations: Applications and algorithms. Zbl 0983.65021 Du, Qiang; Faber, Vance; Gunzburger, Max 312 1999 Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015 Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D. 271 2006 Perspectives in flow control and optimization. Zbl 1088.93001 Gunzburger, Max D. 268 2003 Least-squares finite element methods. Zbl 1168.65067 Bochev, Pavel B.; Gunzburger, Max D. 242 2009 A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020 Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 239 2013 On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics. Zbl 0731.76094 Gunzburger, Max D.; Meir, Amnon J.; Peterson, Janet S. 216 1991 Boundary conditions for the numerical solution of elliptic equations in exterior regions. Zbl 0479.65056 Bayliss, Alvin; Gunzburger, Max; Turkel, Eli 187 1982 Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003 Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 180 2018 Analysis and approximation of the Ginzburg-Landau model of superconductivity. Zbl 0787.65091 Du, Qiang; Gunzburger, Max D.; Peterson, Janet S. 169 1992 Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244 Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 153 2010 Finite element approximations for Stokes-Darcy flow with Beavers-Joseph interface conditions. Zbl 1252.76040 Cao, Yanzhao; Gunzburger, Max; Hu, Xiaolong; Hua, Fei; Wang, Xiaoming; Zhao, Weidong 148 2010 The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Zbl 1345.35128 D’Elia, Marta; Gunzburger, Max 134 2013 Finite element methods of least-squares type. Zbl 0914.65108 Bochev, Pavel B.; Gunzburger, Max D. 129 1998 Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299 Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan 122 2014 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089 Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 113 2014 A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017 Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming 110 2011 POD and CVT-based reduced-order modeling of Navier-Stokes flows. Zbl 1120.76323 Burkardt, John; Gunzburger, Max; Lee, Hyung-Chun 107 2006 Continuous and discontinuous finite element methods for a peridynamics model of mechanics. Zbl 1225.74082 Chen, X.; Gunzburger, Max 106 2011 Numerical methods for nonlocal and fractional models. Zbl 07674560 D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi 106 2020 Robin-Robin domain decomposition methods for the steady-state Stokes-Darcy system with the Beavers-Joseph interface condition. Zbl 1305.76072 Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 103 2011 A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057 Gunzburger, Max; Lehoucq, R. B. 99 2010 Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076 Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J. 88 2003 Global existence of weak solutions for viscous incompressible flows around a moving rigid body in three dimensions. Zbl 0970.35096 Gunzburger, Max D.; Lee, Hyung-Chun; Seregin, Gregory A. 87 2000 Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094 Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 75 2013 Reduced-order modeling of time-dependent PDEs with multiple parameters in the boundary data. Zbl 1121.65354 Gunzburger, Max D.; Peterson, Janet S.; Shadid, John N. 72 2007 Analysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed control. Zbl 0963.35150 Gunzburger, M. D.; Manservisi, S. 68 2000 Fractional diffusion on bounded domains. Zbl 1488.35557 Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M. 67 2015 Boundary velocity control of incompressible flow with an application to viscous drag reduction. Zbl 0756.49004 Gunzburger, Max D.; Hou, Lisheng; Svobodny, Thomas P. 66 1992 Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with Dirichlet controls. Zbl 0737.76045 Gunzburger, M. D.; Hou, L. S.; Svobodny, Th. P. 66 1991 Finite-dimensional approximation of a class of constrained nonlinear optimal control problems. Zbl 0849.49005 Gunzburger, Max D.; Hou, L. Steven 65 1996 Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073 Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B. 65 2009 Analysis of least squares finite element methods for the Stokes equations. Zbl 0816.65082 Bochev, Pavel B.; Gunzburger, Max D. 63 1994 A multilevel stochastic collocation method for partial differential equations with random input data. Zbl 1327.65014 Teckentrup, A. L.; Jantsch, P.; Webster, C. G.; Gunzburger, M. 61 2015 A taxonomy of consistently stabilized finite element methods for the Stokes problem. Zbl 1133.76307 Barth, Teri; Bochev, Pavel; Gunzburger, Max; Shadid, John 59 2004 Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009 Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 59 2016 Constrained centroidal Voronoi tessellations for surfaces. Zbl 1036.65101 Du, Qiang; Gunzburger, Max D.; Ju, Lili 58 2003 Analysis of a Ladyzhenskaya model for incompressible viscous flow. Zbl 0712.76039 Du, Qiang; Gunzburger, Max D. 56 1991 The velocity tracking problem for Navier-Stokes flows with bounded distributed controls. Zbl 0938.35118 Gunzburger, M. D.; Manservisi, S. 54 1999 Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations. Zbl 1067.76562 Bochev, Pavel B.; Gunzburger, Max D. 51 1995 Issues related to least-squares finite element methods for the Stokes equations. Zbl 0953.65083 Deang, Jennifer M.; Gunzburger, Max D. 50 1999 The velocity tracking problem for Navier-Stokes flows with boundary control. Zbl 0991.49002 Gunzburger, M. D.; Manservisi, S. 50 2000 Analysis and finite element approximation of optimal control problems for the stationary Navier-Stokes equations with distributed and Neumann controls. Zbl 0747.76063 Gunzburger, M. D.; Hou, L.; Svobodny, T. P. 48 1991 Concurrent AtC coupling based on a blend of the continuum stress and the atomistic force. Zbl 1173.74303 Fish, Jacob; Nuggehally, Mohan A.; Shephard, Mark S.; Picu, Catalin R.; Badia, Santiago; Parks, Michael L.; Gunzburger, Max 48 2007 Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010 Seleson, Pablo; Gunzburger, Max; Parks, Michael L. 48 2013 An ensemble-proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1394.76067 Gunzburger, Max; Jiang, Nan; Schneier, Michael 48 2017 Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007 Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 44 2013 Asymptotic analysis of the differences between the Stokes-Darcy system with different interface conditions and the Stokes-Brinkman system. Zbl 1352.35093 Chen, Nan; Gunzburger, Max; Wang, Xiaoming 44 2010 On the global unique solvability of initial-boundary value problems for the coupled modified Navier-Stokes and Maxwell equations. Zbl 1064.76118 Gunzburger, M. D.; Ladyzhenskaya, O. A.; Peterson, J. S. 43 2004 Boundary value problems and optimal boundary control for the Navier-Stokes system: The two-dimensional case. Zbl 0910.76011 Fursikov, A. V.; Gunzburger, M. D.; Hou, L. S. 43 1998 An absolutely stable pressure-Poisson stabilized finite element method for the Stokes equations. Zbl 1159.76346 Bochev, Pavel; Gunzburger, Max 42 2004 Self-contained automated methodology for optimal flow control. Zbl 0901.76067 Joslin, Ronald D.; Gunzburger, Max D.; Nicolaides, Roy A.; Erlebacher, Gordon; Hussaini, M. Yousuff 42 1997 Grid generation and optimization based on centroidal Voronoi tessellations. Zbl 1024.65118 Du, Qiang; Gunzburger, Max 42 2002 On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. Zbl 1465.65094 Gunzburger, Max; He, Xiaoming; Li, Buyang 41 2018 Finite-element approximations of a Ladyzhenskaya model for stationary incompressible viscous flow. Zbl 0697.76046 Du, Qiang; Gunzburger, Max D. 40 1990 On atomistic-to-continuum coupling by blending. Zbl 1160.65338 Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard 40 2008 Stability of the SUPG finite element method for transient advection-diffusion problems. Zbl 1067.76563 Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 39 2004 An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Zbl 1388.76127 Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 38 2016 Error estimates of stochastic optimal Neumann boundary control problems. Zbl 1243.65008 Gunzburger, Max D.; Lee, Hyung-Chun; Lee, Jangwoon 37 2011 Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307 D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard 37 2017 Incompressible computational fluid dynamics: trends and advances. Zbl 1190.76004 36 1993 On stabilized finite element methods for the Stokes problem in the small time step limit. Zbl 1104.76059 Bochev, Pavel B.; Gunzburger, Max D.; Lehoucq, Richard B. 36 2007 On finite element methods of the least squares type. Zbl 0422.65064 Fix, George J.; Gunzburger, Max D.; Nicolaides, R. A. 34 1979 Accuracy of least-squares methods for the Navier–Stokes equations. Zbl 0779.76039 Bochev, Pavel B.; Gunzburger, Max D. 33 1993 An efficient algorithm for simulating ensembles of parameterized flow problems. Zbl 1466.65133 Gunzburger, Max; Jiang, Nan; Wang, Zhu 33 2019 Centroidal Voronoi tessellation-based reduced-order modeling of complex systems. Zbl 1111.65084 Burkardt, John; Gunzburger, Max; Lee, Hyung-Chun 33 2006 Optimal boundary control for the evolutionary Navier-Stokes system: The three-dimensional case. Zbl 1076.76029 Fursikov, A. V.; Gunzburger, M. D.; Hou, L. S. 31 2005 Sensitivities, adjoints and flow optimization. Zbl 0962.76030 Gunzburger, Max D. 31 1999 Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Zbl 1014.68202 Ju, Lili; Du, Qiang; Gunzburger, Max 31 2002 On mixed finite element methods for first order elliptic systems. Zbl 0459.65072 Fix, G. J.; Gunzburger, M. D.; Nicolaides, R. A. 30 1981 Identification of the diffusion parameter in nonlocal steady diffusion problems. Zbl 1342.49053 D’Elia, M.; Gunzburger, M. 30 2016 On numerical boundary treatment of hyperbolic systems for finite difference and finite element methods. Zbl 0481.65072 Gottlieb, David; Gunzburger, Max; Turkel, Eli 29 1982 Optimal distributed control of nonlocal steady diffusion problems. Zbl 1298.49006 D’Elia, Marta; Gunzburger, Max 29 2014 Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. Zbl 1418.60077 Gunzburger, Max; Li, Buyang; Wang, Jilu 29 2019 Adjoint equation-based methods for control problems in incompressible, viscous flows. Zbl 0996.76024 Gunzburger, Max 28 2000 Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032 Du, Qiang; Gunzburger, Max; Ju, Lili 27 2010 An optimization based domain decomposition method for partial differential equations. Zbl 0941.65123 Gunzburger, M. D.; Peterson, J. S.; Kwon, H. 27 1999 An optimization-based domain decomposition method for the Navier-Stokes equations. Zbl 1003.76024 Gunzburger, Max D.; Lee, Hyesuk Kwon 27 2000 On inf–sup stabilized finite element methods for transient problems. Zbl 1079.76577 Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N. 27 2004 Superconvergence analysis of FEMs for the Stokes-Darcy system. Zbl 1303.76086 Chen, Wenbin; Chen, Puying; Gunzburger, Max; Yan, Ningning 26 2010 A Ginzburg-Landau type model of superconducting normal junctions including Josephson junctions. Zbl 0843.35120 Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D. 26 1995 Peridynamics and material interfaces. Zbl 1455.74009 Alali, Bacim; Gunzburger, Max 26 2015 Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. Zbl 1046.65094 Du, Qiang; Gunzburger, Max D.; Ju, Lili 26 2003 A sparse-grid method for multi-dimensional backward stochastic differential equations. Zbl 1289.65011 Zhang, Guannan; Gunzburger, Max; Zhao, Weidong 25 2013 A locally conservative least-squares method for Darcy flows. Zbl 1191.76066 Bochev, P. B.; Gunzburger, M. D. 24 2008 A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207 Gunzburger, Max; Jiang, Nan; Schneier, Michael 24 2018 Error analysis of a stochastic collocation method for parabolic partial differential equations with random input data. Zbl 1260.65007 Zhang, Guannan; Gunzburger, Max 24 2012 A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157 Gunzburger, Max; Jiang, Nan; Wang, Zhu 24 2019 Semidiscrete finite element approximations of a linear fluid-structure interaction problem. Zbl 1159.74343 Du, Qiang; Gunzburger, M. D.; Hou, Lisheng; Lee, Jeehyun 23 2004 A finite element method for first order elliptic systems in three dimensions. Zbl 0631.65108 Chang, Ching-Lung; Gunzburger, Max D. 23 1987 Weak-Galerkin finite element methods for a second-order elliptic variational inequality. Zbl 1440.65204 Guan, Qingguang; Gunzburger, Max; Zhao, Wenju 23 2018 Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. Zbl 1356.65239 Tian, Xiaochuan; Du, Qiang; Gunzburger, Max 23 2016 Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of boundary stresses. Zbl 0748.76073 Gunzburger, Max D.; Hou, Steven L. 22 1992 A model for variable thickness superconducting thin films. Zbl 0862.35119 Chapman, S. J.; Du, Qiang; Gunzburger, M. D. 22 1996 Space-time adaptive wavelet methods for optimal control problems constrained by parabolic evolution equations. Zbl 1232.65099 Gunzburger, Max D.; Kunoth, Angela 22 2011 On least-squares finite element methods for the Poisson equation and their connection to the Dirichlet and Kelvin principles. Zbl 1128.76031 Bochev, Pavel; Gunzburger, Max 21 2005 Error analysis of fully discrete finite element approximations to an optimal control problem governed by a time-fractional PDE. Zbl 1417.65171 Gunzburger, Max; Wang, Jilu 21 2019 On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations. Zbl 0559.76026 Gunzburger, Max D.; Peterson, Janet S. 20 1983 On least squares approximations to indefinite problems of the mixed type. Zbl 0378.76046 Fix, George J.; Gunzburger, Max D. 20 1978 Stochastic collocation method for stochastic optimal boundary control of the Navier-Stokes equations. Zbl 1502.65229 Zhao, Wenju; Gunzburger, Max 4 2023 Energetically consistent model reduction for metriplectic systems. Zbl 1536.65163 Gruber, Anthony; Gunzburger, Max; Ju, Lili; Wang, Zhu 2 2023 A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type. Zbl 1549.65488 Klar, Manuel; Capodaglio, Giacomo; D’Elia, Marta; Glusa, Christian; Gunzburger, Max; Vollmann, Christian 1 2023 An asymptotically compatible coupling formulation for nonlocal interface problems with jumps. Zbl 07704386 Glusa, Christian; D’Elia, Marta; Capodaglio, Giacomo; Gunzburger, Max; Bochev, Pavel B. 1 2023 A multifidelity Monte Carlo method for realistic computational budgets. Zbl 1507.65011 Gruber, Anthony; Gunzburger, Max; Ju, Lili; Wang, Zhu 1 2023 A comparison of neural network architectures for data-driven reduced-order modeling. Zbl 1507.65157 Gruber, Anthony; Gunzburger, Max; Ju, Lili; Wang, Zhu 13 2022 A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere. Zbl 1515.76096 Gunzburger, Max; Li, Buyang; Wang, Jilu; Yang, Zongze 4 2022 Collocation method for one dimensional nonlocal diffusion equations. Zbl 1533.65164 Guan, Qingguang; Gunzburger, Max; Zhang, Xiaoping 1 2022 A general framework for substructuring-based domain decomposition methods for models having nonlocal interactions. Zbl 1533.65246 Capodaglio, Giacomo; D’Elia, Marta; Gunzburger, Max; Bochev, Pavel; Klar, Manuel; Vollmann, Christian 1 2022 High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations. Zbl 1515.76159 Lan, Rihui; Ju, Lili; Wang, Zhu; Gunzburger, Max; Jones, Philip 1 2022 On a nonlocal Cahn-Hilliard model permitting sharp interfaces. Zbl 1484.35352 Burkovska, Olena; Gunzburger, Max 12 2021 A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems. Zbl 1473.65188 D’Elia, Marta; Gunzburger, Max; Vollmann, Christian 11 2021 A multifidelity method for a nonlocal diffusion model. Zbl 1524.35206 Khodabakhshi, Parisa; Willcox, Karen E.; Gunzburger, Max 3 2021 Parallel exponential time differencing methods for geophysical flow simulations. Zbl 1507.76236 Lan, Rihui; Leng, Wei; Wang, Zhu; Ju, Lili; Gunzburger, Max 2 2021 Approximation of probability density functions for PDEs with random parameters using truncated series expansions. Zbl 1471.62309 Capodaglio, Giacomo; Gunzburger, Max; Wynn, Henry P. 1 2021 Nonlinear level set learning for function approximation on sparse data with applications to parametric differential equations. Zbl 1499.65052 Gruber, Anthony; Gunzburger, Max; Ju, Lili; Teng, Yuankai; Wang, Zhu 1 2021 Numerical methods for nonlocal and fractional models. Zbl 07674560 D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi 106 2020 A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows. Zbl 1467.65098 Gunzburger, Max; Iliescu, Traian; Schneier, Michael 19 2020 An energy-based coupling approach to nonlocal interface problems. Zbl 1521.76117 Capodaglio, Giacomo; D’Elia, Marta; Bochev, Pavel; Gunzburger, Max 16 2020 High-precision computation of the weak Galerkin methods for the fourth-order problem. Zbl 1434.65238 Burkardt, John; Gunzburger, Max; Zhao, Wenju 8 2020 Exponential time differencing for the tracer equations appearing in primitive equation ocean models. Zbl 1442.86001 Calandrini, Sara; Pieper, Konstantin; Gunzburger, Max D. 6 2020 Affine approximation of parametrized kernels and model order reduction for nonlocal and fractional Laplace models. Zbl 1434.65224 Burkovska, Olena; Gunzburger, Max 6 2020 An optimally convergent higher-order finite element coupling method for interface and domain decomposition problems. Zbl 1453.65427 Cheung, James; Gunzburger, Max; Bochev, Pavel; Perego, Mauro 6 2020 Auxiliary equations approach for the stochastic unsteady Navier-Stokes equations with additive random noise. Zbl 1463.65317 Zhao, Wenju; Gunzburger, Max 4 2020 Piecewise polynomial approximation of probability density functions with application to uncertainty quantification for stochastic PDEs. Zbl 1455.62157 Capodaglio, Giacomo; Gunzburger, Max 1 2020 Quantification of uncertainty: improving efficiency and technology. QUIET. Selected contributions based on the presentations at the international workshop, Trieste, Italy, July 18–21, 2017. Zbl 1454.62013 1 2020 An efficient algorithm for simulating ensembles of parameterized flow problems. Zbl 1466.65133 Gunzburger, Max; Jiang, Nan; Wang, Zhu 33 2019 Sharp convergence rates of time discretization for stochastic time-fractional PDEs subject to additive space-time white noise. Zbl 1418.60077 Gunzburger, Max; Li, Buyang; Wang, Jilu 29 2019 A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157 Gunzburger, Max; Jiang, Nan; Wang, Zhu 24 2019 Error analysis of fully discrete finite element approximations to an optimal control problem governed by a time-fractional PDE. Zbl 1417.65171 Gunzburger, Max; Wang, Jilu 21 2019 A localized reduced-order modeling approach for PDEs with bifurcating solutions. Zbl 1441.65082 Hess, Martin; Alla, Alessandro; Quaini, Annalisa; Rozza, Gianluigi; Gunzburger, Max 18 2019 Convergence of finite element solutions of stochastic partial integro-differential equations driven by white noise. Zbl 1462.65143 Gunzburger, Max; Li, Buyang; Wang, Jilu 18 2019 Regularity analyses and approximation of nonlocal variational equality and inequality problems. Zbl 1421.49009 Burkovska, O.; Gunzburger, M. 16 2019 Optimally accurate higher-order finite element methods for polytopial approximations of domains with smooth boundaries. Zbl 1417.65186 Cheung, James; Perego, Mauro; Bochev, Pavel; Gunzburger, Max 15 2019 Exponential time differencing for mimetic multilayer Ocean models. Zbl 1453.86019 Pieper, Konstantin; Sockwell, K. Chad; Gunzburger, Max 13 2019 A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060 Gunzburger, Max; Wang, Jilu 11 2019 An evolve-filter-relax stabilized reduced order stochastic collocation method for the time-dependent Navier-Stokes equations. Zbl 1428.65029 Gunzburger, M.; Iliescu, T.; Mohebujjaman, M.; Schneier, M. 10 2019 Descriptions, discretizations, and comparisons of time/space colored and white noise forcings of the Navier-Stokes equations. Zbl 1421.76156 Gunzburger, Max D.; Zhao, Wenju 6 2019 Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003 Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 180 2018 On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. Zbl 1465.65094 Gunzburger, Max; He, Xiaoming; Li, Buyang 41 2018 A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207 Gunzburger, Max; Jiang, Nan; Schneier, Michael 24 2018 Weak-Galerkin finite element methods for a second-order elliptic variational inequality. Zbl 1440.65204 Guan, Qingguang; Gunzburger, Max; Zhao, Wenju 23 2018 Analysis and approximation of a fractional Laplacian-based closure model for turbulent flows and its connection to Richardson pair dispersion. Zbl 1409.76061 Gunzburger, Max; Jiang, Nan; Xu, Feifei 12 2018 Convergence analysis of multifidelity Monte Carlo estimation. Zbl 1394.35492 Peherstorfer, Benjamin; Gunzburger, Max; Willcox, Karen 12 2018 Fast spherical centroidal Voronoi mesh generation: a Lloyd-preconditioned LBFGS method in parallel. Zbl 1415.65271 Yang, Huanhuan; Gunzburger, Max; Ju, Lili 2 2018 An ensemble-proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1394.76067 Gunzburger, Max; Jiang, Nan; Schneier, Michael 48 2017 Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307 D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard 37 2017 Reduced basis methods for nonlocal diffusion problems with random input data. Zbl 1439.74415 Guan, Qingguang; Gunzburger, Max; Webster, Clayton G.; Zhang, Guannan 11 2017 Comparison of approaches for random PDE optimization problems based on different matching functionals. Zbl 1370.49032 Lee, Hyung-Chun; Gunzburger, Max D. 8 2017 Analysis and approximation of a nonlocal obstacle problem. Zbl 1353.65064 Guan, Qingguang; Gunzburger, Max 8 2017 Algorithms and analyses for stochastic optimization for turbofan noise reduction using parallel reduced-order modeling. Zbl 1439.76136 Yang, Huanhuan; Gunzburger, Max 7 2017 Exploration of efficient reduced-order modeling and a posteriori error estimation. Zbl 1548.65275 Chaudhry, J. H.; Estep, D.; Gunzburger, M. 4 2017 Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009 Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 59 2016 An efficient and long-time accurate third-order algorithm for the Stokes-Darcy system. Zbl 1388.76127 Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 38 2016 Identification of the diffusion parameter in nonlocal steady diffusion problems. Zbl 1342.49053 D’Elia, M.; Gunzburger, M. 30 2016 Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. Zbl 1356.65239 Tian, Xiaochuan; Du, Qiang; Gunzburger, Max 23 2016 A multiscale method for nonlocal mechanics and diffusion and for the approximation of discontinuous functions. Zbl 1436.74076 Xu, Feifei; Gunzburger, Max; Burkardt, John 14 2016 A two phase field model for tracking vesicle-vesicle adhesion. Zbl 1366.92019 Gu, Rui; Wang, Xiaoqiang; Gunzburger, Max 13 2016 Quadrature rules for finite element approximations of 1D nonlocal problems. Zbl 1349.65729 Zhang, Xiaoping; Gunzburger, Max; Ju, Lili 11 2016 Hyperspherical sparse approximation techniques for high-dimensional discontinuity detection. Zbl 1386.65083 Zhang, Guannan; Webster, Clayton G.; Gunzburger, Max; Burkardt, John 9 2016 Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems. Zbl 1425.65215 Zhang, Xiaoping; Gunzburger, Max; Ju, Lili 9 2016 A multiscale implementation based on adaptive mesh refinement for the nonlocal peridynamics model in one dimension. Zbl 1381.74214 Xu, Feifei; Gunzburger, Max; Burkardt, John; Du, Qiang 8 2016 Numerical methods for a class of nonlocal diffusion problems with the use of backward SDEs. Zbl 1443.65266 Zhang, Guannan; Zhao, Weidong; Webster, Clayton; Gunzburger, Max 4 2016 A least-squares finite element method for a nonlinear Stokes problem in glaciology. Zbl 1443.65360 Monnesland, Irene Sonja; Lee, Eunjung; Gunzburger, Max; Yoon, Ryeongkyung 3 2016 Stochastic steady-state Navier-Stokes equations with additive random noise. Zbl 06555593 Gunzburger, Max D.; Hou, Lisheng; Ming, Ju 1 2016 Fractional diffusion on bounded domains. Zbl 1488.35557 Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M. 67 2015 A multilevel stochastic collocation method for partial differential equations with random input data. Zbl 1327.65014 Teckentrup, A. L.; Jantsch, P.; Webster, C. G.; Gunzburger, M. 61 2015 Peridynamics and material interfaces. Zbl 1455.74009 Alali, Bacim; Gunzburger, Max 26 2015 \(\theta\) schemes for finite element discretization of the space-time fractional diffusion equations. Zbl 1320.65141 Guan, Qingguang; Gunzburger, Max 15 2015 Stability and accuracy of time-stepping schemes and dispersion relations for a nonlocal wave equation. Zbl 1309.65106 Guan, Qingguang; Gunzburger, Max 13 2015 Stability and convergence of time-stepping methods for a nonlocal model for diffusion. Zbl 1334.65145 Guan, Qingguang; Gunzburger, Max 9 2015 A generalized nonlocal vector calculus. Zbl 1331.26018 Alali, Bacim; Liu, Kuo; Gunzburger, Max 8 2015 Power-law noises over general spatial domains and on nonstandard meshes. Zbl 1322.65024 van Wyk, Hans-Werner; Gunzburger, Max; Burkhardt, John; Stoyanov, Miroslav 4 2015 A hyperspherical adaptive sparse-grid method for high-dimensional discontinuity detection. Zbl 1317.65058 Zhang, G.; Webster, C.; Gunzburger, M.; Burkardt, J. 2 2015 Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299 Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan 122 2014 Parallel, non-iterative, multi-physics domain decomposition methods for time-dependent Stokes-Darcy systems. Zbl 1457.65089 Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming 113 2014 Optimal distributed control of nonlocal steady diffusion problems. Zbl 1298.49006 D’Elia, Marta; Gunzburger, Max 29 2014 An adaptive wavelet stochastic collocation method for irregular solutions of partial differential equations with random input data. Zbl 1316.65011 Gunzburger, Max; Webster, Clayton G.; Zhang, Guannan 19 2014 Peridynamic state-based models and the embedded-atom model. Zbl 1373.82029 Seleson, Pablo; Parks, Michael L.; Gunzburger, Max 18 2014 Simulating vesicle-substrate adhesion using two phase field functions. Zbl 1349.92050 Gu, R.; Wang, X.; Gunzburger, M. 9 2014 An efficient and accurate method for the identification of the most influential random parameters appearing in the input data for PDEs. Zbl 1426.76634 Labovsky, A.; Gunzburger, Max 5 2014 An adaptive sparse-grid iterative ensemble Kalman filter approach for parameter field estimation. Zbl 1383.76393 Webster, Clayton G.; Zhang, Guannan; Gunzburger, Max 4 2014 Finite element three-dimensional Stokes ice sheet dynamics model with enhanced local mass conservation. Zbl 1351.86030 Leng, Wei; Ju, Lili; Xie, Yan; Cui, Tao; Gunzburger, Max 4 2014 Goal-oriented a posteriori error estimation for finite volume methods. Zbl 1293.65116 Chen, Qingshan; Gunzburger, Max 3 2014 A parallel computational model for three-dimensional, thermo-mechanical Stokes flow simulations of glaciers and ice sheets. Zbl 1373.86004 Leng, Wei; Ju, Lili; Gunzburger, Max; Price, Stephen 2 2014 Editorial: Minimum residual and least squares finite element methods. Zbl 1365.00053 1 2014 A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020 Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 239 2013 The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Zbl 1345.35128 D’Elia, Marta; Gunzburger, Max 134 2013 Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094 Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming 75 2013 Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010 Seleson, Pablo; Gunzburger, Max; Parks, Michael L. 48 2013 Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007 Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 44 2013 A sparse-grid method for multi-dimensional backward stochastic differential equations. Zbl 1289.65011 Zhang, Guannan; Gunzburger, Max; Zhao, Weidong 25 2013 A co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids. Zbl 1426.76346 Chen, Qingshan; Ringler, Todd; Gunzburger, Max 12 2013 Well-posedness results for a nonlinear Stokes problem arising in glaciology. Zbl 1282.35292 Chen, Qingshan; Gunzburger, Max; Perego, Mauro 9 2013 A distributed control approach for the boundary optimal control of the steady MHD equations. Zbl 1373.76339 Bornia, G.; Gunzburger, M.; Manservisi, S. 8 2013 Coarse-grid sampling interpolatory methods for approximating Gaussian random fields. Zbl 1401.60094 D’Elia, Marta; Gunzburger, Max 5 2013 Unified matching grids for multidomain multiphysics simulations. Zbl 1285.65081 Womeldorff, G.; Peterson, J.; Gunzburger, M.; Ringler, T. 2 2013 Efficient numerical methods for stochastic partial differential equations through transformation to equations driven by correlated noise. Zbl 1515.65029 Ming, Ju; Gunzburger, Max 2 2013 Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168 Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun 367 2012 Error analysis of a stochastic collocation method for parabolic partial differential equations with random input data. Zbl 1260.65007 Zhang, Guannan; Gunzburger, Max 24 2012 ...and 200 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 6,715 Authors 147 Gunzburger, Max Donald 103 Du, Qiang 58 He, Yinnian 58 Li, Jian 55 Rozza, Gianluigi 53 Ju, Lili 43 Layton, William J. 38 Hou, Yanren 37 Huang, Pengzhan 36 Bochev, Pavel B. 36 Chen, Zhangxin 36 D’Elia, Marta 35 Zheng, Haibiao 34 He, Xiaoming 32 Feng, Xinlong 30 Rebholz, Leo Gregory 30 Tian, Xiaochuan 27 Jiang, Nan 27 Luo, Zhendong 27 Wang, Zhu 26 Protas, Bartosz 26 Wang, Hong 25 Iliescu, Traian 24 Zhang, Tong 23 Lee, Hyesuk Kwon 23 Yang, Suh-Yuh 21 Chen, Yanping 21 Huang, Yunqing 21 Peherstorfer, Benjamin 21 Si, Zhiyong 20 Lee, Hyung-Chun 19 Gerritsma, Marc I. 19 Su, Haiyan 19 Takahashi, Takéo 19 Ye, Xiu 18 Du, Guangzhi 18 Manzoni, Andrea 18 Navon, Ionel Michael 18 Nečasová, Šárka 18 Pan, Xingbin 18 Shang, Yueqiang 18 Wang, Xiaoming 18 Yang, Xiaofeng 17 Al Mahbub, Md. Abdullah 17 Codina, Ramon 17 Li, Rui 17 Mei, Liquan 17 Zhang, Guodong 17 Zhang, Jiwei 16 Ballarin, Francesco 16 Chen, Wenbin 16 Deng, Weihua 16 Hesthaven, Jan S. 16 Muha, Boris 16 Otárola, Enrique 16 Rui, Hongxing 16 Shi, Dongyang 16 Turkel, Eli L. 16 Webster, Clayton G. 15 Antoine, Xavier 15 Li, Buyang 15 Neda, Monika 15 Qin, Yi 15 Quarteroni, Alfio M. 15 Rossi, Julio Daniel 15 Schröder, Jörg 15 Trenchea, Catalin 15 Zhang, Guannan 15 Zheng, Xiangcheng 15 Zuo, Liyun 14 Feng, Minfu 14 Fix, George J. 14 Jiang, Yaolin 14 Karniadakis, George Em 14 Khan, Akhtar Ali 14 Labovsky, Alexander E. 14 Lee, Eunjung 14 Lipton, Robert P. 14 Mengesha, Tadele 14 Nie, Yufeng 14 Ravindran, Sivaguru S. 14 Shadid, John N. 14 Shi, Feng 14 Willcox, Karen E. 14 Zhao, Wenju 14 Zheng, Bo 13 Alekseev, Gennady V. 13 An, Rong 13 Cao, Yanzhao 13 Chrysafinos, Konstantinos 13 Duan, Huoyuan 13 Kunisch, Karl 13 Li, Yuan 13 Manservisi, Sandro 13 Narayan, Akil C. 13 Peterson, Janet S. 13 Schwarz, Alexander 13 Warma, Mahamadi 13 Yan, Wenjing 13 Yang, Huanhuan ...and 6,615 more Authors all top 5 Cited in 444 Serials 507 Computer Methods in Applied Mechanics and Engineering 399 Journal of Computational Physics 300 Computers & Mathematics with Applications 199 Journal of Scientific Computing 196 Journal of Computational and Applied Mathematics 141 Applied Mathematics and Computation 139 International Journal for Numerical Methods in Engineering 133 Applied Numerical Mathematics 133 Numerical Methods for Partial Differential Equations 120 SIAM Journal on Scientific Computing 105 SIAM Journal on Numerical Analysis 89 Journal of Mathematical Analysis and Applications 77 Numerische Mathematik 71 Computers and Fluids 67 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 63 International Journal for Numerical Methods in Fluids 61 Mathematics of Computation 61 Computational Mechanics 60 Advances in Computational Mathematics 57 SIAM/ASA Journal on Uncertainty Quantification 53 Mathematical Methods in the Applied Sciences 50 Numerical Algorithms 42 Journal of Fluid Mechanics 41 Communications in Computational Physics 40 Nonlinear Analysis. 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Series B ...and 344 more Serials all top 5 Cited in 51 Fields 3,384 Numerical analysis (65-XX) 2,343 Fluid mechanics (76-XX) 2,288 Partial differential equations (35-XX) 776 Mechanics of deformable solids (74-XX) 616 Calculus of variations and optimal control; optimization (49-XX) 278 Probability theory and stochastic processes (60-XX) 224 Statistical mechanics, structure of matter (82-XX) 203 Systems theory; control (93-XX) 192 Computer science (68-XX) 170 Statistics (62-XX) 140 Integral equations (45-XX) 131 Optics, electromagnetic theory (78-XX) 128 Operations research, mathematical programming (90-XX) 126 Biology and other natural sciences (92-XX) 121 Real functions (26-XX) 109 Operator theory (47-XX) 102 Geophysics (86-XX) 81 Classical thermodynamics, heat transfer (80-XX) 78 Approximations and expansions (41-XX) 65 Functional analysis (46-XX) 64 Ordinary differential equations (34-XX) 45 Linear and multilinear algebra; matrix theory (15-XX) 43 Dynamical systems and ergodic theory (37-XX) 41 Information and communication theory, circuits (94-XX) 36 Global analysis, analysis on manifolds (58-XX) 31 Mechanics of particles and systems (70-XX) 30 Quantum theory (81-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 25 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Convex and discrete geometry (52-XX) 20 Combinatorics (05-XX) 15 Special functions (33-XX) 14 Measure and integration (28-XX) 13 General and overarching topics; collections (00-XX) 12 Potential theory (31-XX) 10 Differential geometry (53-XX) 9 Integral transforms, operational calculus (44-XX) 8 Astronomy and astrophysics (85-XX) 5 Difference and functional equations (39-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Mathematics education (97-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Geometry (51-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Algebraic topology (55-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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