## Gunzburger, Max D.

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 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 · IdRef
 Documents Indexed: 310 Publications since 1970, including 3 Books 10 Contributions as Editor Biographic References: 3 Publications Co-Authors: 164 Co-Authors with 303 Joint Publications 3,817 Co-Co-Authors
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### Co-Authors

 14 single-authored 36 Du, Qiang 29 Peterson, Janet S. 28 Bochev, Pavel B. 22 Ju, Lili 16 Nicolaides, Roy A. 15 Burkardt, John V. 12 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 D’Elia, Marta 9 Fix, George J. 8 Svobodny, Thomas P. 7 Fursikov, Andreĭ Vladimirovich 7 Parks, Michael L. 6 Guan, Qingguang 6 Wang, Zhu 5 Hou, Lisheng 5 Jiang, Nan 5 Lee, Eunjung 5 Schneier, Michael 5 Trenchea, Catalin 5 Wang, Jilu 4 Badia, Santiago 4 Chapman, Stephen Jonathan 4 Chen, Qingshan 4 Chen, Wenbin 4 Hua, Fei 4 Li, Buyang 4 Saka, Yuki 4 Seleson, Pablo 4 Shadid, John N. 4 Willcox, Karen E. 4 Wood, Houston G. III 4 Zhao, Weidong 4 Zhao, Wenju 3 Burkhardt, John 3 Burkovska, Olena 3 Capodaglio, Giacomo 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 Leng, Wei 3 Liu, Chen-Huei 3 Peherstorfer, Benjamin 3 Perego, Mauro 3 Ringler, Todd D. 3 Turner, James C. jun. 3 Wang, Xiaoqiang 3 Xu, Feifei 3 Zhang, Yanzhi 3 Zhou, Kun 3 Zhu, Wenxiang 2 Alali, Bacim 2 Burns, John A. 2 Calhoun-Lopez, Marcus 2 Chang, Ching Lung 2 Chen, Zheng 2 Cheung, James 2 Choi, Jungmin 2 Gottlieb, David I. 2 Gruber, Anthony 2 Gu, Rui 2 Iliescu, Traian 2 Jordan, Jo Ann 2 Lan, Rihui 2 Layton, William J. 2 Ming, Ju 2 Pieper, Konstantin 2 Rozza, Gianluigi 2 Sun, Dong 2 Ting, Lu 2 Turkel, Eli L. 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 Borggaard, Jeffrey 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 64 more Co-Authors
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### Serials

 25 Computer Methods in Applied Mechanics and Engineering 24 SIAM Journal on Numerical Analysis 21 Computers & Mathematics with Applications 11 Journal of Computational Physics 10 SIAM Journal on Control and Optimization 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 Numerical Mathematics: Theory, Methods and Applications 5 SIAM/ASA Journal on Uncertainty Quantification 4 Computers and Fluids 4 Journal of Computational and Applied Mathematics 4 Applied Mathematics Letters 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 AIAA Journal 3 International Journal for Numerical Methods in Fluids 3 Numerical Methods for Partial Differential Equations 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 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 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 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 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
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### Fields

 194 Numerical analysis (65-XX) 156 Fluid mechanics (76-XX) 135 Partial differential equations (35-XX) 58 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) 10 Geophysics (86-XX) 9 Integral equations (45-XX) 8 Mechanics of particles and systems (70-XX) 5 Real functions (26-XX) 5 Computer science (68-XX) 5 Optics, electromagnetic theory (78-XX) 5 Biology and other natural sciences (92-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-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 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-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)

### Citations contained in zbMATH Open

276 Publications have been cited 6,129 times in 3,851 Documents Cited by Year
Centroidal Voronoi tessellations: Applications and algorithms. Zbl 0983.65021
Du, Qiang; Faber, Vance; Gunzburger, Max
1999
Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
2012
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
2006
Perspectives in flow control and optimization. Zbl 1088.93001
Gunzburger, Max D.
2003
A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
2013
Boundary conditions for the numerical solution of elliptic equations in exterior regions. Zbl 0479.65056
Bayliss, Alvin; Gunzburger, Max; Turkel, Eli
1982
Finite element methods for viscous incompressible flows. Zbl 0697.76031
Gunzburger, Max D.
1989
Least-squares finite element methods. Zbl 1168.65067
Bochev, Pavel B.; Gunzburger, Max D.
2009
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.
1991
Analysis and approximation of the Ginzburg-Landau model of superconductivity. Zbl 0787.65091
Du, Qiang; Gunzburger, Max D.; Peterson, Janet S.
1992
Finite element methods of least-squares type. Zbl 0914.65108
Bochev, Pavel B.; Gunzburger, Max D.
1998
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
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
2010
Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
2018
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Zbl 1345.35128
D’Elia, Marta; Gunzburger, Max
2013
Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299
Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan
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
2014
A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017
Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
2011
POD and CVT-based reduced-order modeling of Navier-Stokes flows. Zbl 1120.76323
Burkardt, John; Gunzburger, Max; Lee, Hyung-Chun
2006
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
2011
Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076
Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J.
2003
Continuous and discontinuous finite element methods for a peridynamics model of mechanics. Zbl 1225.74082
Chen, X.; Gunzburger, Max
2011
A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057
Gunzburger, Max; Lehoucq, R. B.
2010
Boundary velocity control of incompressible flow with an application to viscous drag reduction. Zbl 0756.49004
Gunzburger, Max D.; Hou, Lisheng; Svobodny, Thomas P.
1992
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.
2000
Analysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed control. Zbl 0963.35150
Gunzburger, M. D.; Manservisi, S.
2000
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.
2007
Analysis of least squares finite element methods for the Stokes equations. Zbl 0816.65082
Bochev, Pavel B.; Gunzburger, Max D.
1994
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.
1991
Finite-dimensional approximation of a class of constrained nonlinear optimal control problems. Zbl 0849.49005
Gunzburger, Max D.; Hou, L. Steven
1996
Efficient and long-time accurate second-order methods for the Stokes-Darcy system. Zbl 1282.76094
Chen, Wenbin; Gunzburger, Max; Sun, Dong; Wang, Xiaoming
2013
A taxonomy of consistently stabilized finite element methods for the Stokes problem. Zbl 1133.76307
Barth, Teri; Bochev, Pavel; Gunzburger, Max; Shadid, John
2004
Issues related to least-squares finite element methods for the Stokes equations. Zbl 0953.65083
Deang, Jennifer M.; Gunzburger, Max D.
1999
Fractional diffusion on bounded domains. Zbl 06418052
Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M.
2015
Constrained centroidal Voronoi tessellations for surfaces. Zbl 1036.65101
Du, Qiang; Gunzburger, Max D.; Ju, Lili
2003
The velocity tracking problem for Navier-Stokes flows with bounded distributed controls. Zbl 0938.35118
Gunzburger, M. D.; Manservisi, S.
1999
Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations. Zbl 1067.76562
Bochev, Pavel B.; Gunzburger, Max D.
1995
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.
2015
Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B.
2009
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
2007
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.
1991
The velocity tracking problem for Navier-Stokes flows with boundary control. Zbl 0991.49002
Gunzburger, M. D.; Manservisi, S.
2000
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
1997
Analysis of a Ladyzhenskaya model for incompressible viscous flow. Zbl 0712.76039
Du, Qiang; Gunzburger, Max D.
1991
Grid generation and optimization based on centroidal Voronoi tessellations. Zbl 1024.65118
Du, Qiang; Gunzburger, Max
2002
An absolutely stable pressure-Poisson stabilized finite element method for the Stokes equations. Zbl 1159.76346
Bochev, Pavel; Gunzburger, Max
2004
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
2010
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
2008
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.
1998
Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
2016
Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
2013
On finite element methods of the least squares type. Zbl 0422.65064
Fix, George J.; Gunzburger, Max D.; Nicolaides, R. A.
1979
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.
2004
Error estimates of stochastic optimal Neumann boundary control problems. Zbl 1243.65008
Gunzburger, Max D.; Lee, Hyung-Chun; Lee, Jangwoon
2011
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.
2007
Accuracy of least-squares methods for the Navier–Stokes equations. Zbl 0779.76039
Bochev, Pavel B.; Gunzburger, Max D.
1993
Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010
Seleson, Pablo; Gunzburger, Max; Parks, Michael L.
2013
Sensitivities, adjoints and flow optimization. Zbl 0962.76030
Gunzburger, Max D.
1999
On mixed finite element methods for first order elliptic systems. Zbl 0459.65072
Fix, G. J.; Gunzburger, M. D.; Nicolaides, R. A.
1981
An ensemble-proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1394.76067
Gunzburger, Max; Jiang, Nan; Schneier, Michael
2017
Stability of the SUPG finite element method for transient advection-diffusion problems. Zbl 1067.76563
Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N.
2004
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.
2005
Adjoint equation-based methods for control problems in incompressible, viscous flows. Zbl 0996.76024
Gunzburger, Max
2000
Finite-element approximations of a Ladyzhenskaya model for stationary incompressible viscous flow. Zbl 0697.76046
Du, Qiang; Gunzburger, Max D.
1990
A Ginzburg-Landau type model of superconducting normal junctions including Josephson junctions. Zbl 0843.35120
Chapman, S. Jonathan; Du, Qiang; Gunzburger, Max D.
1995
An optimization-based domain decomposition method for the Navier-Stokes equations. Zbl 1003.76024
Gunzburger, Max D.; Lee, Hyesuk Kwon
2000
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Zbl 1014.68202
Ju, Lili; Du, Qiang; Gunzburger, Max
2002
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
2016
Centroidal Voronoi tessellation-based reduced-order modeling of complex systems. Zbl 1111.65084
Burkardt, John; Gunzburger, Max; Lee, Hyung-Chun
2006
An optimization based domain decomposition method for partial differential equations. Zbl 0941.65123
Gunzburger, M. D.; Peterson, J. S.; Kwon, H.
1999
On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. Zbl 1465.65094
Gunzburger, Max; He, Xiaoming; Li, Buyang
2018
A finite element method for first order elliptic systems in three dimensions. Zbl 0631.65108
Chang, Ching-Lung; Gunzburger, Max D.
1987
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
2010
Superconvergence analysis of FEMs for the Stokes-Darcy system. Zbl 1303.76086
Chen, Wenbin; Chen, Puying; Gunzburger, Max; Yan, Ningning
2010
A locally conservative least-squares method for Darcy flows. Zbl 1191.76066
Bochev, P. B.; Gunzburger, M. D.
2008
Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. Zbl 1046.65094
Du, Qiang; Gunzburger, Max D.; Ju, Lili
2003
On inf–sup stabilized finite element methods for transient problems. Zbl 1079.76577
Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N.
2004
Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi-Delaunay triangulations. Zbl 1126.65099
Ju, Lili; Gunzburger, Max; Zhao, Weidong
2006
On least squares approximations to indefinite problems of the mixed type. Zbl 0378.76046
Fix, George J.; Gunzburger, Max D.
1978
A model for variable thickness superconducting thin films. Zbl 0862.35119
Chapman, S. J.; Du, Qiang; Gunzburger, M. D.
1996
On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations. Zbl 0559.76026
Gunzburger, Max D.; Peterson, Janet S.
1983
On numerical boundary treatment of hyperbolic systems for finite difference and finite element methods. Zbl 0481.65072
Gottlieb, David; Gunzburger, Max; Turkel, Eli
1982
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
2005
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
2014
Existence of an optimal solution of a shape control problem for the stationary Navier-Stokes equations. Zbl 0917.49004
Gunzburger, Max D.; Kim, Hongchul
1998
Least-squares finite element approximations to solutions of interface problems. Zbl 0913.65096
Cao, Yanzhao; Gunzburger, Max D.
1998
Least-squares finite element methods. Zbl 1100.65098
Bochev, Pavel; Gunzburger, Max
2006
Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of boundary stresses. Zbl 0748.76073
Gunzburger, Max D.; Hou, Steven L.
1992
A sparse-grid method for multi-dimensional backward stochastic differential equations. Zbl 1289.65011
Zhang, Guannan; Gunzburger, Max; Zhao, Weidong
2013
Feedback control of Karman vortex shedding. Zbl 0875.76073
Gunzburger, M. D.; Lee, H. C.
1996
Meshfree, probabilistic determination of point sets and support regions for meshless computing. Zbl 0993.65009
Du, Qiang; Gunzburger, Max; Ju, Lili
2002
On finite element approximations of problems having inhomogeneous essential boundary conditions. Zbl 0531.65056
Fix, George J.; Gunzburger, Max D.; Peterson, Janet S.
1983
Analysis and discretization of an optimal control problem for the time-periodic MHD equations. Zbl 1073.49003
Gunzburger, Max; Trenchea, Catalin
2005
A subdomain-Galerkin/least squares method for first-order elliptic systems in the plane. Zbl 0717.65087
Chang, Ching-Lung; Gunzburger, Max D.
1990
ANOVA expansions and efficient sampling methods for parameter dependent nonlinear PDEs. Zbl 1161.65336
Cao, Yanzhao; Chen, Zheng; Gunzburger, Max
2009
Optimal distributed control of nonlocal steady diffusion problems. Zbl 1298.49006
D’Elia, Marta; Gunzburger, Max
2014
Identification of the diffusion parameter in nonlocal steady diffusion problems. Zbl 1342.49053
D’Elia, M.; Gunzburger, M.
2016
Semidiscrete finite element approximations of a linear fluid-structure interaction problem. Zbl 1159.74343
Du, Qiang; Gunzburger, M. D.; Hou, Lisheng; Lee, Jeehyun
2004
Solution of elliptic partial differential equations by an optimization-based domain decomposition method. Zbl 1023.65126
Gunzburger, Max D.; Heinkenschloss, Matthias; Lee, Hyesuk Kwon
2000
Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits. Zbl 1282.76172
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
2011
A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems. Zbl 1473.65188
D&rsquo;Elia, Marta; Gunzburger, Max; Vollmann, Christian
2021
Parallel exponential time differencing methods for geophysical flow simulations. Zbl 07427389
Lan, Rihui; Leng, Wei; Wang, Zhu; Ju, Lili; Gunzburger, Max
2021
On a nonlocal Cahn-Hilliard model permitting sharp interfaces. Zbl 1484.35352
Burkovska, Olena; Gunzburger, Max
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.
2021
An energy-based coupling approach to nonlocal interface problems. Zbl 07211869
Capodaglio, Giacomo; D&rsquo;Elia, Marta; Bochev, Pavel; Gunzburger, Max
2020
A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows. Zbl 1467.65098
Gunzburger, Max; Iliescu, Traian; Schneier, Michael
2020
Exponential time differencing for the tracer equations appearing in primitive equation ocean models. Zbl 1442.86001
Calandrini, Sara; Pieper, Konstantin; Gunzburger, Max D.
2020
Affine approximation of parametrized kernels and model order reduction for nonlocal and fractional Laplace models. Zbl 1434.65224
Burkovska, Olena; Gunzburger, Max
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
2020
Auxiliary equations approach for the stochastic unsteady Navier-Stokes equations with additive random noise. Zbl 1463.65317
Zhao, Wenju; Gunzburger, Max
2020
High-precision computation of the weak Galerkin methods for the fourth-order problem. Zbl 1434.65238
Burkardt, John; Gunzburger, Max; Zhao, Wenju
2020
Piecewise polynomial approximation of probability density functions with application to uncertainty quantification for stochastic PDEs. Zbl 1455.62157
Capodaglio, Giacomo; Gunzburger, Max
2020
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
2019
A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157
Gunzburger, Max; Jiang, Nan; Wang, Zhu
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
2019
A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060
Gunzburger, Max; Wang, Jilu
2019
An efficient algorithm for simulating ensembles of parameterized flow problems. Zbl 1466.65133
Gunzburger, Max; Jiang, Nan; Wang, Zhu
2019
Exponential time differencing for mimetic multilayer Ocean models. Zbl 1453.86019
Pieper, Konstantin; Sockwell, K. Chad; Gunzburger, Max
2019
Regularity analyses and approximation of nonlocal variational equality and inequality problems. Zbl 1421.49009
Burkovska, O.; Gunzburger, M.
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
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
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
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.
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
2019
Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
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
2018
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207
Gunzburger, Max; Jiang, Nan; Schneier, Michael
2018
Weak-Galerkin finite element methods for a second-order elliptic variational inequality. Zbl 1440.65204
Guan, Qingguang; Gunzburger, Max; Zhao, Wenju
2018
Convergence analysis of multifidelity Monte Carlo estimation. Zbl 1394.35492
Peherstorfer, Benjamin; Gunzburger, Max; Willcox, Karen
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
2018
An ensemble-proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1394.76067
Gunzburger, Max; Jiang, Nan; Schneier, Michael
2017
Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307
D&rsquo;Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard
2017
Comparison of approaches for random PDE optimization problems based on different matching functionals. Zbl 1370.49032
Lee, Hyung-Chun; Gunzburger, Max D.
2017
Analysis and approximation of a nonlocal obstacle problem. Zbl 1353.65064
Guan, Qingguang; Gunzburger, Max
2017
Reduced basis methods for nonlocal diffusion problems with random input data. Zbl 1439.74415
Guan, Qingguang; Gunzburger, Max; Webster, Clayton G.; Zhang, Guannan
2017
Algorithms and analyses for stochastic optimization for turbofan noise reduction using parallel reduced-order modeling. Zbl 1439.76136
Yang, Huanhuan; Gunzburger, Max
2017
Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
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
2016
Identification of the diffusion parameter in nonlocal steady diffusion problems. Zbl 1342.49053
D&rsquo;Elia, M.; Gunzburger, M.
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
2016
Hyperspherical sparse approximation techniques for high-dimensional discontinuity detection. Zbl 1386.65083
Zhang, Guannan; Webster, Clayton G.; Gunzburger, Max; Burkardt, John
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
2016
Quadrature rules for finite element approximations of 1D nonlocal problems. Zbl 1349.65729
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
2016
A two phase field model for tracking vesicle-vesicle adhesion. Zbl 1366.92019
Gu, Rui; Wang, Xiaoqiang; Gunzburger, Max
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
2016
Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems. Zbl 1425.65215
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
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
2016
Fractional diffusion on bounded domains. Zbl 06418052
Defterli, Ozlem; D&rsquo;Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M.
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.
2015
Peridynamics and material interfaces. Zbl 1455.74009
Alali, Bacim; Gunzburger, Max
2015
$$\theta$$ schemes for finite element discretization of the space-time fractional diffusion equations. Zbl 1320.65141
Guan, Qingguang; Gunzburger, Max
2015
Stability and accuracy of time-stepping schemes and dispersion relations for a nonlocal wave equation. Zbl 1309.65106
Guan, Qingguang; Gunzburger, Max
2015
A generalized nonlocal vector calculus. Zbl 1331.26018
Alali, Bacim; Liu, Kuo; Gunzburger, Max
2015
Stability and convergence of time-stepping methods for a nonlocal model for diffusion. Zbl 1334.65145
Guan, Qingguang; Gunzburger, Max
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
2015
A hyperspherical adaptive sparse-grid method for high-dimensional discontinuity detection. Zbl 1317.65058
Zhang, G.; Webster, C.; Gunzburger, M.; Burkardt, J.
2015
Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299
Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan
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
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
2014
Optimal distributed control of nonlocal steady diffusion problems. Zbl 1298.49006
D&rsquo;Elia, Marta; Gunzburger, Max
2014
Peridynamic state-based models and the embedded-atom model. Zbl 1373.82029
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max
2014
Simulating vesicle-substrate adhesion using two phase field functions. Zbl 1349.92050
Gu, R.; Wang, X.; Gunzburger, M.
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
2014
An adaptive sparse-grid iterative ensemble Kalman filter approach for parameter field estimation. Zbl 1383.76393
Webster, Clayton G.; Zhang, Guannan; Gunzburger, Max
2014
Goal-oriented a posteriori error estimation for finite volume methods. Zbl 1293.65116
Chen, Qingshan; Gunzburger, Max
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
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
2014
Editorial: Minimum residual and least squares finite element methods. Zbl 1365.00053
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
2013
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Zbl 1345.35128
D&rsquo;Elia, Marta; Gunzburger, Max
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
2013
Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
2013
Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010
Seleson, Pablo; Gunzburger, Max; Parks, Michael L.
2013
A sparse-grid method for multi-dimensional backward stochastic differential equations. Zbl 1289.65011
Zhang, Guannan; Gunzburger, Max; Zhao, Weidong
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
2013
Well-posedness results for a nonlinear Stokes problem arising in glaciology. Zbl 1282.35292
Chen, Qingshan; Gunzburger, Max; Perego, Mauro
2013
Coarse-grid sampling interpolatory methods for approximating Gaussian random fields. Zbl 1401.60094
D&rsquo;Elia, Marta; Gunzburger, Max
2013
A distributed control approach for the boundary optimal control of the steady MHD equations. Zbl 1373.76339
Bornia, G.; Gunzburger, M.; Manservisi, S.
2013
Unified matching grids for multidomain multiphysics simulations. Zbl 1285.65081
Womeldorff, G.; Peterson, J.; Gunzburger, M.; Ringler, T.
2013
Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
2012
Error analysis of a stochastic collocation method for parabolic partial differential equations with random input data. Zbl 1260.65007
Zhang, Guannan; Gunzburger, Max
2012
High accuracy method for turbulent flow problems. Zbl 1437.76039
Gunzburger, M.; Labovsky, A.
2012
A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017
Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
2011
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
2011
Continuous and discontinuous finite element methods for a peridynamics model of mechanics. Zbl 1225.74082
Chen, X.; Gunzburger, Max
2011
Error estimates of stochastic optimal Neumann boundary control problems. Zbl 1243.65008
Gunzburger, Max D.; Lee, Hyung-Chun; Lee, Jangwoon
2011
Analysis and finite element approximation of a coupled, continuum pipe-flow/Darcy model for flow in porous media with embedded conduits. Zbl 1282.76172
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
2011
Space-time adaptive wavelet methods for optimal control problems constrained by parabolic evolution equations. Zbl 1232.65099
Gunzburger, Max D.; Kunoth, Angela
2011
Optimal control of stochastic flow over a backward-facing step using reduced-order modeling. Zbl 1232.93097
Gunzburger, Max; Ming, Ju
2011
Analysis of finite element discretizations of an optimal control formulation of the image registration problem. Zbl 1254.65036
Lee, Eunjung; Gunzburger, Max
2011
Coupled models and parallel simulations for three-dimensional full-Stokes ice sheet modeling. Zbl 1265.76046
Zhang, Huai; Ju, Lili; Gunzburger, Max; Ringler, Todd; Price, Stephen
2011
Effects of approximate deconvolution models on the solution of the stochastic Navier-Stokes equations. Zbl 1249.65209
Gunzburger, M.; Labovsky, A.
2011
Pink noise, $$1/f^\alpha$$ noise, and their effect on solutions of differential equations. Zbl 1229.65028
Stoyanov, Miro; Gunzburger, Max; Burkardt, John
2011
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
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
2010
A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057
Gunzburger, Max; Lehoucq, R. B.
2010
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
2010
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
2010
Superconvergence analysis of FEMs for the Stokes-Darcy system. Zbl 1303.76086
Chen, Wenbin; Chen, Puying; Gunzburger, Max; Yan, Ningning
2010
A quadrature-rule type approximation to the quasi-continuum method. Zbl 1188.70046
Gunzburger, Max; Zhang, Yanzhi
2010
...and 176 more Documents
all top 5

### Cited by 4,881 Authors

 129 Gunzburger, Max D. 86 Du, Qiang 50 He, Yinnian 44 Ju, Lili 44 Li, Jian 36 Rozza, Gianluigi 30 Bochev, Pavel B. 30 Hou, Yanren 29 Huang, Pengzhan 28 Feng, Xinlong 27 Chen, Zhangxin 27 Layton, William J. 26 Luo, Zhendong 24 He, Xiaoming 23 Yang, Suh-Yuh 23 Zheng, Haibiao 22 Wang, Zhu 21 Protas, Bartosz 21 Tian, Xiaochuan 20 Chen, Yanping 19 Lee, Hyung-Chun 18 D’Elia, Marta 18 Gerritsma, Marc I. 18 Takahashi, Takéo 18 Wang, Hong 17 Iliescu, Traian 17 Navon, Ionel Michael 17 Pan, Xingbin 17 Si, Zhiyong 16 Lee, Hyesuk Kwon 15 Huang, Yunqing 15 Zhang, Guodong 14 Manzoni, Andrea 14 Peherstorfer, Benjamin 14 Quarteroni, Alfio M. 14 Su, Haiyan 14 Webster, Clayton G. 13 Feng, Minfu 13 Mei, Liquan 13 Ravindran, Sivaguru S. 13 Trenchea, Catalin 13 Wang, Xiaoming 13 Warma, Mahamadi 12 Alekseev, Gennady V. 12 An, Rong 12 Chrysafinos, Konstantinos 12 Lu, Zuliang 12 Manservisi, Sandro 12 Rebholz, Leo G. 12 Shadid, John N. 12 Turkel, Eli L. 12 Zuo, Liyun 11 Al Mahbub, Md. Abdullah 11 Antoine, Xavier 11 Burkardt, John V. 11 Codina, Ramon 11 Ervin, Vincent J. 11 Jiang, Bo-Nan 11 Kunisch, Karl 11 Lee, Eunjung 11 Lehoucq, Richard B. 11 Li, Buyang 11 Liu, Steve Wenbin 11 Meir, Amnon J. 11 Mengesha, Tadele 11 Muha, Boris 11 Otárola, Enrique 11 Peterson, Janet S. 11 Singler, John R. 11 Tröltzsch, Fredi 10 Ballarin, Francesco 10 Barrenechea, Gabriel R. 10 Chen, Wenbin 10 Deng, Weihua 10 Du, Guangzhi 10 Foster, John T. jun. 10 Ghattas, Omar N. 10 Jiang, Nan 10 Khan, Akhtar Ali 10 Nobile, Fabio 10 Pedregal, Pablo 10 Reddy, Junuthula Narasimha 10 Rossi, Julio Daniel 10 Shan, Li 10 Shang, Yueqiang 10 Shi, Feng 10 Willcox, Karen E. 10 Zhao, Xin 9 Bellido, José Carlos 9 Čanić, Sunčica 9 Cao, Yanzhao 9 Carey, Graham Francis 9 Carstensen, Carsten 9 Chang, Ching Lung 9 Chen, Gang 9 Djellouli, Rabia 9 Duan, Huoyuan 9 Fix, George J. 9 Hesthaven, Jan S. 9 Kim, Sangdong ...and 4,781 more Authors
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### Cited in 371 Serials

 364 Computer Methods in Applied Mechanics and Engineering 279 Journal of Computational Physics 198 Computers & Mathematics with Applications 149 Journal of Computational and Applied Mathematics 142 Journal of Scientific Computing 123 Applied Mathematics and Computation 100 Applied Numerical Mathematics 87 SIAM Journal on Scientific Computing 80 SIAM Journal on Numerical Analysis 73 Journal of Mathematical Analysis and Applications 67 International Journal for Numerical Methods in Engineering 67 Numerische Mathematik 56 Mathematics of Computation 55 Numerical Methods for Partial Differential Equations 54 Computers and Fluids 51 Computational Mechanics 46 International Journal for Numerical Methods in Fluids 46 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 45 SIAM/ASA Journal on Uncertainty Quantification 39 Journal of Fluid Mechanics 38 Numerical Functional Analysis and Optimization 37 Advances in Computational Mathematics 35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 Numerical Algorithms 27 Journal of Differential Equations 27 International Journal of Computer Mathematics 27 Communications in Computational Physics 26 International Journal of Numerical Analysis and Modeling 25 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 24 Applied Mathematical Modelling 24 Advances in Applied Mathematics and Mechanics 23 Mathematical Methods in the Applied Sciences 22 Applied Mathematics Letters 21 Applicable Analysis 21 Archive for Rational Mechanics and Analysis 20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 19 International Journal of Computational Fluid Dynamics 18 Physica D 18 Computational Geosciences 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 17 Calculus of Variations and Partial Differential Equations 17 Computational Methods in Applied Mathematics 16 Discrete and Continuous Dynamical Systems. Series B 15 Acta Applicandae Mathematicae 15 Journal of Elasticity 15 Engineering Analysis with Boundary Elements 15 Multiscale Modeling & Simulation 14 Journal of Mathematical Physics 14 Mathematics and Computers in Simulation 14 SIAM Journal on Control and Optimization 14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 13 Applied Mathematics and Optimization 13 BIT 13 SIAM Journal on Mathematical Analysis 13 Communications in Numerical Methods in Engineering 13 Physics of Fluids 13 Mathematical Problems in Engineering 13 Journal of Mathematical Fluid Mechanics 13 Evolution Equations and Control Theory 12 Applied Mathematics and Mechanics. (English Edition) 12 Computational and Applied Mathematics 12 Discrete and Continuous Dynamical Systems 12 East Asian Journal on Applied Mathematics 11 Calcolo 11 Transactions of the American Mathematical Society 11 Abstract and Applied Analysis 11 Science China. Mathematics 10 Wave Motion 10 RAIRO. Modélisation Mathématique et Analyse Numérique 10 Applications of Mathematics 10 European Journal of Mechanics. B. Fluids 10 Communications in Nonlinear Science and Numerical Simulation 10 Archives of Computational Methods in Engineering 9 Inverse Problems 9 Journal of Optimization Theory and Applications 9 Computer Aided Geometric Design 9 Computational Optimization and Applications 9 Fractional Calculus & Applied Analysis 9 Optimization and Engineering 8 Communications in Mathematical Physics 8 International Journal of Control 8 Chinese Annals of Mathematics. Series B 8 Japan Journal of Industrial and Applied Mathematics 8 Mathematics and Mechanics of Solids 8 Journal of Numerical Mathematics 8 International Journal of Computational Methods 8 Advances in Difference Equations 8 Discrete and Continuous Dynamical Systems. Series S 8 Nonlinear Analysis. Theory, Methods & Applications 7 Journal of Engineering Mathematics 7 Journal of the Mechanics and Physics of Solids 7 Computing 7 Linear Algebra and its Applications 7 SIAM Review 7 Nonlinear Analysis. Real World Applications 7 Foundations of Computational Mathematics 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Automatica 6 Journal of Functional Analysis 6 Mathematical and Computer Modelling ...and 271 more Serials
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### Cited in 53 Fields

 2,288 Numerical analysis (65-XX) 1,678 Fluid mechanics (76-XX) 1,564 Partial differential equations (35-XX) 532 Mechanics of deformable solids (74-XX) 473 Calculus of variations and optimal control; optimization (49-XX) 190 Statistical mechanics, structure of matter (82-XX) 181 Probability theory and stochastic processes (60-XX) 160 Systems theory; control (93-XX) 101 Optics, electromagnetic theory (78-XX) 100 Integral equations (45-XX) 99 Statistics (62-XX) 99 Computer science (68-XX) 83 Operations research, mathematical programming (90-XX) 81 Biology and other natural sciences (92-XX) 72 Operator theory (47-XX) 70 Geophysics (86-XX) 62 Classical thermodynamics, heat transfer (80-XX) 54 Real functions (26-XX) 52 Ordinary differential equations (34-XX) 44 Approximations and expansions (41-XX) 41 Functional analysis (46-XX) 31 Linear and multilinear algebra; matrix theory (15-XX) 31 Dynamical systems and ergodic theory (37-XX) 27 Global analysis, analysis on manifolds (58-XX) 27 Mechanics of particles and systems (70-XX) 27 Quantum theory (81-XX) 27 Information and communication theory, circuits (94-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Convex and discrete geometry (52-XX) 16 Combinatorics (05-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Special functions (33-XX) 10 General and overarching topics; collections (00-XX) 10 Measure and integration (28-XX) 10 Differential geometry (53-XX) 7 Potential theory (31-XX) 4 Difference and functional equations (39-XX) 3 History and biography (01-XX) 3 Integral transforms, operational calculus (44-XX) 3 Astronomy and astrophysics (85-XX) 3 Mathematics education (97-XX) 2 Mathematical logic and foundations (03-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-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 Manifolds and cell complexes (57-XX)

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