×
Author ID: gunzburger.max-d Recent zbMATH articles by "Gunzburger, Max D."
Published as: Gunzburger, Max; Gunzburger, Max D.; Gunzburger, M. D.; Gunzburger, M.
External Links: MGP · Wikidata · Math-Net.Ru · dblp · IdRef
all top 5

Co-Authors

15 single-authored
37 Du, Qiang
33 Bochev, Pavel B.
29 Peterson, Janet S.
25 Ju, Lili
16 Nicolaides, Roy A.
15 Burkardt, John V.
14 D’Elia, Marta
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 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 Vollmann, Christian
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 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 Rozza, Gianluigi
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 68 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 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 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 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 Applied Mathematical Sciences
1 The IMA Volumes in Mathematics and its Applications
1 Progress in Systems and Control Theory
1 Lecture Notes in Computational Science and Engineering
1 Advances in Design and Control
1 Results in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

293 Publications have been cited 8,019 times in 4,946 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
331
2012
Finite element methods for viscous incompressible flows. Zbl 0697.76031
Gunzburger, Max D.
315
1989
Centroidal Voronoi tessellations: Applications and algorithms. Zbl 0983.65021
Du, Qiang; Faber, Vance; Gunzburger, Max
291
1999
Perspectives in flow control and optimization. Zbl 1088.93001
Gunzburger, Max D.
255
2003
Stabilization of low-order mixed finite elements for the Stokes equations. Zbl 1145.76015
Bochev, Pavel B.; Dohrmann, Clark R.; Gunzburger, Max D.
244
2006
A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
221
2013
Least-squares finite element methods. Zbl 1168.65067
Bochev, Pavel B.; Gunzburger, Max D.
218
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.
198
1991
Boundary conditions for the numerical solution of elliptic equations in exterior regions. Zbl 0479.65056
Bayliss, Alvin; Gunzburger, Max; Turkel, Eli
180
1982
Analysis and approximation of the Ginzburg-Landau model of superconductivity. Zbl 0787.65091
Du, Qiang; Gunzburger, Max D.; Peterson, Janet S.
164
1992
Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
148
2018
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition. Zbl 1189.35244
Cao, Yanzhao; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
133
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
126
2010
Finite element methods of least-squares type. Zbl 0914.65108
Bochev, Pavel B.; Gunzburger, Max D.
124
1998
The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator. Zbl 1345.35128
D’Elia, Marta; Gunzburger, Max
121
2013
Stochastic finite element methods for partial differential equations with random input data. Zbl 1398.65299
Gunzburger, Max D.; Webster, Clayton G.; Zhang, Guannan
107
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
101
2014
A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017
Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
96
2011
A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057
Gunzburger, Max; Lehoucq, R. B.
94
2010
Continuous and discontinuous finite element methods for a peridynamics model of mechanics. Zbl 1225.74082
Chen, X.; Gunzburger, Max
94
2011
POD and CVT-based reduced-order modeling of Navier-Stokes flows. Zbl 1120.76323
Burkardt, John; Gunzburger, Max; Lee, Hyung-Chun
92
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
90
2011
Analysis of a linear fluid-structure interaction problem. Zbl 1039.35076
Du, Qiang; Gunzburger, M. D.; Hou, L. S.; Lee, J.
82
2003
Numerical methods for nonlocal and fractional models. Zbl 07674560
D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi
82
2020
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.
79
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
68
2013
Analysis and approximation of the velocity tracking problem for Navier-Stokes flows with distributed control. Zbl 0963.35150
Gunzburger, M. D.; Manservisi, S.
67
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.
67
2007
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.
63
1991
Finite-dimensional approximation of a class of constrained nonlinear optimal control problems. Zbl 0849.49005
Gunzburger, Max D.; Hou, L. Steven
62
1996
Fractional diffusion on bounded domains. Zbl 1488.35557
Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M.
61
2015
Analysis of least squares finite element methods for the Stokes equations. Zbl 0816.65082
Bochev, Pavel B.; Gunzburger, Max D.
60
1994
Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B.
60
2009
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.
56
2015
Constrained centroidal Voronoi tessellations for surfaces. Zbl 1036.65101
Du, Qiang; Gunzburger, Max D.; Ju, Lili
55
2003
A taxonomy of consistently stabilized finite element methods for the Stokes problem. Zbl 1133.76307
Barth, Teri; Bochev, Pavel; Gunzburger, Max; Shadid, John
53
2004
Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
51
2016
The velocity tracking problem for Navier-Stokes flows with bounded distributed controls. Zbl 0938.35118
Gunzburger, M. D.; Manservisi, S.
50
1999
Analysis of a Ladyzhenskaya model for incompressible viscous flow. Zbl 0712.76039
Du, Qiang; Gunzburger, Max D.
50
1991
Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations. Zbl 1067.76562
Bochev, Pavel B.; Gunzburger, Max D.
49
1995
Issues related to least-squares finite element methods for the Stokes equations. Zbl 0953.65083
Deang, Jennifer M.; Gunzburger, Max D.
49
1999
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.
46
1991
The velocity tracking problem for Navier-Stokes flows with boundary control. Zbl 0991.49002
Gunzburger, M. D.; Manservisi, S.
45
2000
Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010
Seleson, Pablo; Gunzburger, Max; Parks, Michael L.
45
2013
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
44
2007
An ensemble-proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1394.76067
Gunzburger, Max; Jiang, Nan; Schneier, Michael
44
2017
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
41
1997
Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
40
2013
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
40
2008
Grid generation and optimization based on centroidal Voronoi tessellations. Zbl 1024.65118
Du, Qiang; Gunzburger, Max
39
2002
An absolutely stable pressure-Poisson stabilized finite element method for the Stokes equations. Zbl 1159.76346
Bochev, Pavel; Gunzburger, Max
39
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.
39
1998
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.
39
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
39
2010
Error estimates of stochastic optimal Neumann boundary control problems. Zbl 1243.65008
Gunzburger, Max D.; Lee, Hyung-Chun; Lee, Jangwoon
37
2011
Stability of the SUPG finite element method for transient advection-diffusion problems. Zbl 1067.76563
Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N.
34
2004
On finite element methods of the least squares type. Zbl 0422.65064
Fix, George J.; Gunzburger, Max D.; Nicolaides, R. A.
34
1979
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.
34
2007
On Stokes-Ritz projection and multistep backward differentiation schemes in decoupling the Stokes-Darcy model. Zbl 1465.65094
Gunzburger, Max; He, Xiaoming; Li, Buyang
33
2018
Incompressible computational fluid dynamics: trends and advances. Zbl 1190.76004
33
1993
Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307
D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard
33
2017
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
31
2016
Sensitivities, adjoints and flow optimization. Zbl 0962.76030
Gunzburger, Max D.
31
1999
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
Finite-element approximations of a Ladyzhenskaya model for stationary incompressible viscous flow. Zbl 0697.76046
Du, Qiang; Gunzburger, Max D.
31
1990
Accuracy of least-squares methods for the Navier–Stokes equations. Zbl 0779.76039
Bochev, Pavel B.; Gunzburger, Max D.
30
1993
On mixed finite element methods for first order elliptic systems. Zbl 0459.65072
Fix, G. J.; Gunzburger, M. D.; Nicolaides, R. A.
30
1981
An efficient algorithm for simulating ensembles of parameterized flow problems. Zbl 1466.65133
Gunzburger, Max; Jiang, Nan; Wang, Zhu
30
2019
Centroidal Voronoi tessellation-based reduced-order modeling of complex systems. Zbl 1111.65084
Burkardt, John; Gunzburger, Max; Lee, Hyung-Chun
28
2006
On numerical boundary treatment of hyperbolic systems for finite difference and finite element methods. Zbl 0481.65072
Gottlieb, David; Gunzburger, Max; Turkel, Eli
28
1982
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
27
2010
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Zbl 1014.68202
Ju, Lili; Du, Qiang; Gunzburger, Max
27
2002
Identification of the diffusion parameter in nonlocal steady diffusion problems. Zbl 1342.49053
D’Elia, M.; Gunzburger, M.
27
2016
An optimization-based domain decomposition method for the Navier-Stokes equations. Zbl 1003.76024
Gunzburger, Max D.; Lee, Hyesuk Kwon
26
2000
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
Adjoint equation-based methods for control problems in incompressible, viscous flows. Zbl 0996.76024
Gunzburger, Max
26
2000
An optimization based domain decomposition method for partial differential equations. Zbl 0941.65123
Gunzburger, M. D.; Peterson, J. S.; Kwon, H.
26
1999
Superconvergence analysis of FEMs for the Stokes-Darcy system. Zbl 1303.76086
Chen, Wenbin; Chen, Puying; Gunzburger, Max; Yan, Ningning
26
2010
Optimal distributed control of nonlocal steady diffusion problems. Zbl 1298.49006
D’Elia, Marta; Gunzburger, Max
26
2014
On inf–sup stabilized finite element methods for transient problems. Zbl 1079.76577
Bochev, Pavel B.; Gunzburger, Max D.; Shadid, John N.
25
2004
Peridynamics and material interfaces. Zbl 1455.74009
Alali, Bacim; Gunzburger, Max
25
2015
A sparse-grid method for multi-dimensional backward stochastic differential equations. Zbl 1289.65011
Zhang, Guannan; Gunzburger, Max; Zhao, Weidong
25
2013
Voronoi-based finite volume methods, optimal Voronoi meshes, and PDEs on the sphere. Zbl 1046.65094
Du, Qiang; Gunzburger, Max D.; Ju, Lili
24
2003
A locally conservative least-squares method for Darcy flows. Zbl 1191.76066
Bochev, P. B.; Gunzburger, M. D.
23
2008
A finite element method for first order elliptic systems in three dimensions. Zbl 0631.65108
Chang, Ching-Lung; Gunzburger, Max D.
23
1987
A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157
Gunzburger, Max; Jiang, Nan; Wang, Zhu
22
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
22
2019
Error analysis of a stochastic collocation method for parabolic partial differential equations with random input data. Zbl 1260.65007
Zhang, Guannan; Gunzburger, Max
22
2012
Semidiscrete finite element approximations of a linear fluid-structure interaction problem. Zbl 1159.74343
Du, Qiang; Gunzburger, M. D.; Hou, Lisheng; Lee, Jeehyun
21
2004
A model for variable thickness superconducting thin films. Zbl 0862.35119
Chapman, S. J.; Du, Qiang; Gunzburger, M. D.
21
1996
Treating inhomogeneous essential boundary conditions in finite element methods and the calculation of boundary stresses. Zbl 0748.76073
Gunzburger, Max D.; Hou, Steven L.
20
1992
Least-squares finite element approximations to solutions of interface problems. Zbl 0913.65096
Cao, Yanzhao; Gunzburger, Max D.
20
1998
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
20
2005
On least squares approximations to indefinite problems of the mixed type. Zbl 0378.76046
Fix, George J.; Gunzburger, Max D.
20
1978
Adaptive finite element methods for elliptic PDEs based on conforming centroidal Voronoi-Delaunay triangulations. Zbl 1126.65099
Ju, Lili; Gunzburger, Max; Zhao, Weidong
20
2006
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207
Gunzburger, Max; Jiang, Nan; Schneier, Michael
19
2018
On conforming finite element methods for the inhomogeneous stationary Navier-Stokes equations. Zbl 0559.76026
Gunzburger, Max D.; Peterson, Janet S.
19
1983
Existence of an optimal solution of a shape control problem for the stationary Navier-Stokes equations. Zbl 0917.49004
Gunzburger, Max D.; Kim, Hongchul
19
1998
Analysis and discretization of an optimal control problem for the time-periodic MHD equations. Zbl 1073.49003
Gunzburger, Max; Trenchea, Catalin
19
2005
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
Energetically consistent model reduction for metriplectic systems. Zbl 07644831
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
8
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
2
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
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
10
2021
On a nonlocal Cahn-Hilliard model permitting sharp interfaces. Zbl 1484.35352
Burkovska, Olena; Gunzburger, Max
8
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
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
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
Numerical methods for nonlocal and fractional models. Zbl 07674560
D’Elia, Marta; Du, Qiang; Glusa, Christian; Gunzburger, Max; Tian, Xiaochuan; Zhou, Zhi
82
2020
A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows. Zbl 1467.65098
Gunzburger, Max; Iliescu, Traian; Schneier, Michael
18
2020
An energy-based coupling approach to nonlocal interface problems. Zbl 1521.76117
Capodaglio, Giacomo; D’Elia, Marta; Bochev, Pavel; Gunzburger, Max
15
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
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
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
High-precision computation of the weak Galerkin methods for the fourth-order problem. Zbl 1434.65238
Burkardt, John; Gunzburger, Max; Zhao, Wenju
5
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
30
2019
A second-order time-stepping scheme for simulating ensembles of parameterized flow problems. Zbl 1421.76157
Gunzburger, Max; Jiang, Nan; Wang, Zhu
22
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
22
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
19
2019
Regularity analyses and approximation of nonlocal variational equality and inequality problems. Zbl 1421.49009
Burkovska, O.; Gunzburger, M.
14
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
14
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
13
2019
Exponential time differencing for mimetic multilayer Ocean models. Zbl 1453.86019
Pieper, Konstantin; Sockwell, K. Chad; Gunzburger, Max
13
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
11
2019
A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060
Gunzburger, Max; Wang, Jilu
9
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.
7
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
5
2019
Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
148
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
33
2018
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207
Gunzburger, Max; Jiang, Nan; Schneier, Michael
19
2018
Weak-Galerkin finite element methods for a second-order elliptic variational inequality. Zbl 1440.65204
Guan, Qingguang; Gunzburger, Max; Zhao, Wenju
18
2018
Convergence analysis of multifidelity Monte Carlo estimation. Zbl 1394.35492
Peherstorfer, Benjamin; Gunzburger, Max; Willcox, Karen
11
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
9
2018
Fast spherical centroidal Voronoi mesh generation: a Lloyd-preconditioned LBFGS method in parallel. Zbl 1415.65271
Yang, Huanhuan; Gunzburger, Max; Ju, Lili
1
2018
An ensemble-proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1394.76067
Gunzburger, Max; Jiang, Nan; Schneier, Michael
44
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
33
2017
Reduced basis methods for nonlocal diffusion problems with random input data. Zbl 1439.74415
Guan, Qingguang; Gunzburger, Max; Webster, Clayton G.; Zhang, Guannan
10
2017
Analysis and approximation of a nonlocal obstacle problem. Zbl 1353.65064
Guan, Qingguang; Gunzburger, Max
8
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
Algorithms and analyses for stochastic optimization for turbofan noise reduction using parallel reduced-order modeling. Zbl 1439.76136
Yang, Huanhuan; Gunzburger, Max
7
2017
Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009
Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max
51
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
31
2016
Identification of the diffusion parameter in nonlocal steady diffusion problems. Zbl 1342.49053
D’Elia, M.; Gunzburger, M.
27
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
17
2016
A two phase field model for tracking vesicle-vesicle adhesion. Zbl 1366.92019
Gu, Rui; Wang, Xiaoqiang; Gunzburger, Max
12
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
12
2016
Quadrature rules for finite element approximations of 1D nonlocal problems. Zbl 1349.65729
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
9
2016
Hyperspherical sparse approximation techniques for high-dimensional discontinuity detection. Zbl 1386.65083
Zhang, Guannan; Webster, Clayton G.; Gunzburger, Max; Burkardt, John
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
Nodal-type collocation methods for hypersingular integral equations and nonlocal diffusion problems. Zbl 1425.65215
Zhang, Xiaoping; Gunzburger, Max; Ju, Lili
6
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
3
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
1
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.
61
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.
56
2015
Peridynamics and material interfaces. Zbl 1455.74009
Alali, Bacim; Gunzburger, Max
25
2015
\(\theta\) schemes for finite element discretization of the space-time fractional diffusion equations. Zbl 1320.65141
Guan, Qingguang; Gunzburger, Max
13
2015
Stability and accuracy of time-stepping schemes and dispersion relations for a nonlocal wave equation. Zbl 1309.65106
Guan, Qingguang; Gunzburger, Max
9
2015
A generalized nonlocal vector calculus. Zbl 1331.26018
Alali, Bacim; Liu, Kuo; Gunzburger, Max
8
2015
Stability and convergence of time-stepping methods for a nonlocal model for diffusion. Zbl 1334.65145
Guan, Qingguang; Gunzburger, Max
6
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
107
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
101
2014
Optimal distributed control of nonlocal steady diffusion problems. Zbl 1298.49006
D’Elia, Marta; Gunzburger, Max
26
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
18
2014
Peridynamic state-based models and the embedded-atom model. Zbl 1373.82029
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max
17
2014
Simulating vesicle-substrate adhesion using two phase field functions. Zbl 1349.92050
Gu, R.; Wang, X.; Gunzburger, M.
10
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
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
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
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
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
221
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
121
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
68
2013
Interface problems in nonlocal diffusion and sharp transitions between local and nonlocal domains. Zbl 1286.74010
Seleson, Pablo; Gunzburger, Max; Parks, Michael L.
45
2013
Analysis of the volume-constrained peridynamic Navier equation of linear elasticity. Zbl 1277.35007
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
40
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
11
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
Well-posedness results for a nonlinear Stokes problem arising in glaciology. Zbl 1282.35292
Chen, Qingshan; Gunzburger, Max; Perego, Mauro
6
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
331
2012
Error analysis of a stochastic collocation method for parabolic partial differential equations with random input data. Zbl 1260.65007
Zhang, Guannan; Gunzburger, Max
22
2012
High accuracy method for turbulent flow problems. Zbl 1437.76039
Gunzburger, M.; Labovsky, A.
16
2012
A finite element, filtered eddy-viscosity method for the Navier-Stokes equations with large Reynolds number. Zbl 1254.76100
Lee, Eunjung; Gunzburger, Max D.
1
2012
A parallel Robin-Robin domain decomposition method for the Stokes-Darcy system. Zbl 1414.76017
Chen, Wenbin; Gunzburger, Max; Hua, Fei; Wang, Xiaoming
96
2011
Continuous and discontinuous finite element methods for a peridynamics model of mechanics. Zbl 1225.74082
Chen, X.; Gunzburger, Max
94
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
90
2011
Error estimates of stochastic optimal Neumann boundary control problems. Zbl 1243.65008
Gunzburger, Max D.; Lee, Hyung-Chun; Lee, Jangwoon
37
2011
...and 193 more Documents
all top 5

Cited by 6,098 Authors

145 Gunzburger, Max D.
97 Du, Qiang
57 He, Yinnian
54 Li, Jian
53 Rozza, Gianluigi
50 Ju, Lili
42 Layton, William J.
36 D’Elia, Marta
35 Bochev, Pavel B.
34 Hou, Yanren
34 Huang, Pengzhan
32 Feng, Xinlong
31 Chen, Zhangxin
30 He, Xiaoming
29 Zheng, Haibiao
28 Tian, Xiaochuan
27 Luo, Zhendong
27 Rebholz, Leo G.
26 Wang, Zhu
25 Protas, Bartosz
24 Iliescu, Traian
24 Wang, Hong
23 Yang, Suh-Yuh
22 Jiang, Nan
22 Zhang, Tong
21 Chen, Yanping
20 Huang, Yunqing
20 Lee, Hyesuk Kwon
20 Peherstorfer, Benjamin
19 Gerritsma, Marc I.
19 Lee, Hyung-Chun
19 Si, Zhiyong
19 Su, Haiyan
19 Takahashi, Takéo
18 Navon, Ionel Michael
18 Wang, Xiaoming
17 Du, Guangzhi
17 Manzoni, Andrea
17 Pan, Xingbin
17 Shang, Yueqiang
17 Yang, Xiaofeng
17 Zhang, Guodong
16 Mei, Liquan
16 Quarteroni, Alfio M.
16 Webster, Clayton G.
16 Ye, Xiu
15 Antoine, Xavier
15 Ballarin, Francesco
15 Chen, Wenbin
15 Codina, Ramon
15 Hesthaven, Jan S.
15 Muha, Boris
15 Otárola, Enrique
15 Rossi, Julio Daniel
15 Turkel, Eli L.
15 Zhang, Guannan
15 Zuo, Liyun
14 Feng, Minfu
14 Lee, Eunjung
14 Li, Rui
14 Shadid, John N.
14 Trenchea, Catalin
14 Zhang, Jiwei
13 Al Mahbub, Md. Abdullah
13 Alekseev, Gennady V.
13 Cao, Yanzhao
13 Chrysafinos, Konstantinos
13 Deng, Weihua
13 Khan, Akhtar Ali
13 Kunisch, Karl
13 Labovsky, Alexander E.
13 Li, Buyang
13 Manservisi, Sandro
13 Mengesha, Tadele
13 Neda, Monika
13 Nie, Yufeng
13 Peterson, Janet S.
13 Qin, Yi
13 Ravindran, Sivaguru S.
13 Warma, Mahamadi
13 Willcox, Karen E.
13 Yang, Huanhuan
13 Yu, Yue
12 An, Rong
12 Dassi, Franco
12 Ervin, Vincent J.
12 Ghattas, Omar N.
12 Karniadakis, George Em
12 Lehoucq, Richard B.
12 Li, Yuan
12 Lu, Zuliang
12 Schröder, Jörg
12 Shi, Dongyang
12 Shi, Feng
12 Singler, John R.
12 Yan, Wenjing
12 Zheng, Xiangcheng
11 Bellido, José Carlos
11 Burkardt, John V.
11 Čanić, Sunčica
...and 5,998 more Authors
all top 5

Cited in 419 Serials

483 Computer Methods in Applied Mechanics and Engineering
382 Journal of Computational Physics
271 Computers & Mathematics with Applications
182 Journal of Scientific Computing
180 Journal of Computational and Applied Mathematics
138 Applied Mathematics and Computation
127 Applied Numerical Mathematics
113 SIAM Journal on Scientific Computing
108 Numerical Methods for Partial Differential Equations
100 SIAM Journal on Numerical Analysis
87 Journal of Mathematical Analysis and Applications
79 International Journal for Numerical Methods in Engineering
73 Numerische Mathematik
70 Computers and Fluids
59 Mathematics of Computation
59 Computational Mechanics
58 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
51 Advances in Computational Mathematics
51 SIAM/ASA Journal on Uncertainty Quantification
47 Numerical Algorithms
46 International Journal for Numerical Methods in Fluids
41 Journal of Fluid Mechanics
40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
38 Numerical Functional Analysis and Optimization
37 Mathematical Methods in the Applied Sciences
34 Applied Mathematical Modelling
34 Communications in Computational Physics
33 Journal of Differential Equations
33 International Journal of Computer Mathematics
32 International Journal of Numerical Analysis and Modeling
30 Applied Mathematics Letters
30 Advances in Applied Mathematics and Mechanics
27 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
25 Applicable Analysis
25 Mathematics and Computers in Simulation
25 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
24 Applied Mathematics and Optimization
24 Physica D
24 Computational Methods in Applied Mathematics
23 Archive for Rational Mechanics and Analysis
23 SIAM Journal on Mathematical Analysis
23 Communications in Nonlinear Science and Numerical Simulation
22 International Journal of Computational Fluid Dynamics
22 Discrete and Continuous Dynamical Systems. Series B
21 Computational Geosciences
21 Multiscale Modeling & Simulation
19 SIAM Journal on Control and Optimization
19 Calculus of Variations and Partial Differential Equations
19 Engineering Analysis with Boundary Elements
18 Inverse Problems
18 ZAMP. Zeitschrift für angewandte Mathematik und Physik
17 Journal of Mathematical Physics
17 Computational and Applied Mathematics
17 Journal of Mathematical Fluid Mechanics
17 Evolution Equations and Control Theory
17 East Asian Journal on Applied Mathematics
16 Computer Physics Communications
15 BIT
15 Acta Applicandae Mathematicae
15 Mathematical Problems in Engineering
15 Journal of Numerical Mathematics
15 Science China. Mathematics
14 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
14 Journal of Elasticity
13 Communications in Numerical Methods in Engineering
13 Physics of Fluids
13 Discrete and Continuous Dynamical Systems
12 Wave Motion
12 Calcolo
12 Applied Mathematics and Mechanics. (English Edition)
12 Computer Aided Geometric Design
12 Abstract and Applied Analysis
11 Transactions of the American Mathematical Society
11 Applications of Mathematics
11 Computational Optimization and Applications
11 Fractional Calculus & Applied Analysis
11 European Journal of Mechanics. B. Fluids
11 Numerical Mathematics: Theory, Methods and Applications
10 RAIRO. Modélisation Mathématique et Analyse Numérique
10 Optimization and Engineering
10 Archives of Computational Methods in Engineering
10 SIAM Journal on Imaging Sciences
9 International Journal of Control
9 Journal of Optimization Theory and Applications
9 Japan Journal of Industrial and Applied Mathematics
9 International Journal of Computational Methods
9 Advances in Difference Equations
9 Discrete and Continuous Dynamical Systems. Series S
8 Communications in Mathematical Physics
8 Journal of Engineering Mathematics
8 Journal of the Mechanics and Physics of Solids
8 Journal of Functional Analysis
8 Chinese Annals of Mathematics. Series B
8 Mathematical and Computer Modelling
8 SIAM Review
8 Journal of Nonlinear Science
8 Mathematics and Mechanics of Solids
8 Journal of Dynamical and Control Systems
8 Acta Numerica
8 Mathematical Control and Related Fields
...and 319 more Serials
all top 5

Cited in 51 Fields

3,024 Numerical analysis (65-XX)
2,149 Fluid mechanics (76-XX)
2,085 Partial differential equations (35-XX)
698 Mechanics of deformable solids (74-XX)
581 Calculus of variations and optimal control; optimization (49-XX)
244 Probability theory and stochastic processes (60-XX)
217 Statistical mechanics, structure of matter (82-XX)
190 Systems theory; control (93-XX)
156 Computer science (68-XX)
143 Statistics (62-XX)
127 Integral equations (45-XX)
123 Optics, electromagnetic theory (78-XX)
120 Biology and other natural sciences (92-XX)
111 Operations research, mathematical programming (90-XX)
100 Operator theory (47-XX)
95 Real functions (26-XX)
93 Geophysics (86-XX)
78 Classical thermodynamics, heat transfer (80-XX)
71 Approximations and expansions (41-XX)
58 Ordinary differential equations (34-XX)
55 Functional analysis (46-XX)
40 Linear and multilinear algebra; matrix theory (15-XX)
38 Information and communication theory, circuits (94-XX)
34 Dynamical systems and ergodic theory (37-XX)
33 Global analysis, analysis on manifolds (58-XX)
33 Quantum theory (81-XX)
30 Mechanics of particles and systems (70-XX)
27 Harmonic analysis on Euclidean spaces (42-XX)
20 Convex and discrete geometry (52-XX)
18 Combinatorics (05-XX)
18 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Measure and integration (28-XX)
14 Special functions (33-XX)
13 General and overarching topics; collections (00-XX)
11 Potential theory (31-XX)
10 Differential geometry (53-XX)
8 Integral transforms, operational calculus (44-XX)
7 Astronomy and astrophysics (85-XX)
6 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 Geometry (51-XX)
1 Number theory (11-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

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.