×

Lehoucq, Richard B.

Author ID: lehoucq.richard-b Recent zbMATH articles by "Lehoucq, Richard B."
Published as: Lehoucq, R. B.; Lehoucq, Richard B.; Lehoucq, Richard; Lehoucq, R.; Lehoucq, Rich; Lehoucq
Homepage: http://www.sandia.gov/~rblehou/

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 2,688 times in 1,943 Documents Cited by Year
ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Zbl 0901.65021
Lehoucq, R. B.; Sorensen, D. C.; Yang, C.
582
1998
Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
323
2012
An overview of the Trilinos project. Zbl 1136.65354
Heroux, Michael A.; Bartlett, Roscoe A.; Howle, Vicki E.; Hoekstra, Robert J.; Hu, Jonathan J.; Kolda, Tamara G.; Lehoucq, Richard B.; Long, Kevin R.; Pawlowski, Roger P.; Phipps, Eric T.; Salinger, Andrew G.; Thornquist, Heidi; Tuminaro, Ray S.; Willenbring, James M.; Williams, Alan; Stanley, Kendall S.
252
2005
A nonlocal vector calculus, nonlocal volume-constrained problems, and nonlocal balance laws. Zbl 1266.26020
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
217
2013
Deflation techniques for an implicitly restarted Arnoldi iteration. Zbl 0863.65016
Lehoucq, R. B.; Sorensen, D. C.
130
1996
Convergence of peridynamics to classical elasticity theory. Zbl 1159.74316
Silling, S. A.; Lehoucq, R. B.
122
2008
A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057
Gunzburger, Max; Lehoucq, R. B.
93
2010
On the finite element solution of the pure Neumann problem. Zbl 1084.65111
Bochev, Pavel; Lehoucq, R. B.
86
2005
Implementing peridynamics within a molecular dynamics code. Zbl 1197.82014
Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.; Silling, Stewart A.
68
2008
Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B.
59
2009
Fractional diffusion on bounded domains. Zbl 1488.35557
Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M.
59
2015
Force flux and the peridynamic stress tensor. Zbl 1171.74319
Lehoucq, R. B.; Silling, S. A.
55
2008
Nonlocal convection-diffusion volume-constrained problems and jump processes. Zbl 1284.35223
Du, Qiang; Huang, Zhan; Lehoucq, Richard B.
41
2014
A new approach for a nonlocal, nonlinear conservation law. Zbl 1248.35121
Du, Qiang; Kamm, James R.; Lehoucq, R. B.; Parks, Michael L.
40
2012
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
40
2008
An automated multilevel substructuring method for eigenspace computation in linear elastodynamics. Zbl 1133.65304
Bennighof, Jeffrey K.; Lehoucq, R. B.
40
2004
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 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.
33
2007
Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307
D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard
32
2017
A special finite element method based on component mode synthesis. Zbl 1190.65173
Hetmaniuk, Ulrich L.; Lehoucq, Richard B.
28
2010
Using generalized Cayley transformations within an inexact rational Krylov sequence method. Zbl 0931.65035
Lehoucq, R. B.; Meerbergen, Karl
27
1998
A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods. Zbl 1093.74021
Arbenz, Peter; Hetmaniuk, Ulrich L.; Lehoucq, Richard B.; Tuminaro, Raymond S.
27
2005
Implicitly restarted Arnoldi methods and subspace iteration. Zbl 1004.65044
Lehoucq, R. B.
25
2001
Connecting atomistic-to-continuum coupling and domain decomposition. Zbl 1160.65343
Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B.
24
2008
Peridynamics: a nonlocal continuum theory. Zbl 1311.74013
Emmrich, Etienne; Lehoucq, Richard B.; Puhst, Dimitri
20
2013
Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers. Zbl 1037.76036
Lehoucq, Richard B.; Salinger, Andrew G.
18
2001
Regularization and stabilization of discrete saddle-point variational problems. Zbl 1112.65118
Bochev, P. B.; Lehoucq, R. B.
16
2006
Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems. Zbl 1178.76240
Shadid, J. N.; Salinger, A. G.; Pawlowski, R. P.; Lin, P. T.; Hennigan, G. L.; Tuminaro, R. S.; Lehoucq, R. B.
16
2006
A primal-based penalty preconditioner for elliptic saddle point systems. Zbl 1113.65107
Dohrmann, C. R.; Lehoucq, R. B.
16
2006
Basis selection in LOBPCG. Zbl 1104.65031
Hetmaniuk, U.; Lehoucq, R.
16
2006
Anasazi software for the numerical solution of large-scale eigenvalue problems. Zbl 1364.65083
Baker, C. G.; Hetmaniuk, U. L.; Lehoucq, R. B.; Thornquist, H. K.
16
2009
Translation of Walter Noll’s “Derivation of the fundamental equations of continuum thermodynamics from statistical mechanics”. Zbl 1200.80002
Lehoucq, Richard B.; Von Lilienfeld-Toal, Anatole
16
2010
Integral approximations to classical diffusion and smoothed particle hydrodynamics. Zbl 1423.76363
Du, Qiang; Lehoucq, R. B.; Tartakovsky, A. M.
16
2015
Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. Zbl 1097.65003
14
2006
Computational bifurcation and stability studies of the 8:1 thermal cavity problem. Zbl 1047.76053
Salinger, Andrew G.; Lehoucq, Richard B.; Pawlowski, Roger P.; Shadid, John N.
10
2002
A Galerkin radial basis function method for nonlocal diffusion. Zbl 1330.65174
Bond, Stephen D.; Lehoucq, Richard B.; Rowe, Stephen T.
10
2015
A radial basis function Galerkin method for inhomogeneous nonlocal diffusion. Zbl 1425.65167
Lehoucq, R. B.; Rowe, S. T.
10
2016
Uniform accuracy of eigenpairs from a shift-invert Lanczos method. Zbl 1130.65053
Hetmaniuk, U. L.; Lehoucq, R. B.
7
2006
Linear stability of flow in a differentially heated cavity via large-scale eigenvalue calculations. Zbl 1086.76511
Burroughs, Elizabeth A.; Romero, Louis A.; Lehoucq, Richard B.; Salinger, Andrew G.
6
2004
Energy principles and finite element methods for pure traction linear elasticity. Zbl 1283.65106
Bochev, Pavel; Lehoucq
6
2011
Pseudo-transient continuation for nonlinear transient elasticity. Zbl 1183.74276
Gee, Michael W.; Kelley, C. T.; Lehoucq, R. B.
5
2009
The computation of elementary unitary matrices. Zbl 0884.65039
Lehoucq, R. B.
5
1996
Computing the exit-time for a finite-range symmetric jump process. Zbl 1330.35013
Burch, Nathanial; Lehoucq, R. B.
4
2015
Estimating the critical time-step in explicit dynamics using the Lanczos method. Zbl 1194.74117
Koteras, J. R.; Lehoucq, R. B.
4
2007
Dynamical systems and non-Hermitian iterative eigensolvers. Zbl 1191.65168
Embree, Mark; Lehoucq, Richard B.
3
2009
A meshless Galerkin method for non-local diffusion using localized kernel bases. Zbl 1397.65277
Lehoucq, R. B.; Narcowich, F. J.; Rowe, S. T.; Ward, J. D.
3
2018
Blending methods for coupling atomistic and continuum models. Zbl 1432.74001
Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M.
2
2010
Special issue on large scale eigenvalue problems. Workshop at the Argonne National Laboratory, Argonne, IL, USA, May 14–16, 1997. Zbl 0912.00020
2
1998
Preconditioning constrained eigenvalue problems. Zbl 1170.65028
Baker, C. G.; Lehoucq, R. B.
2
2009
Vibrational eigenstates of four-atom molecules: A parallel strategy employing the implicitly restarted Lanczos method. Zbl 0930.65125
Lehoucq, R. B.; Gray, S. K.; Zhang, D.-H.; Light, J. C.
1
1998
Bridging methods for coupling atomistic and continuum models. Zbl 1229.70034
Badia, Santiago; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard; Parks, Michael
1
2008
A meshless Galerkin method for non-local diffusion using localized kernel bases. Zbl 1397.65277
Lehoucq, R. B.; Narcowich, F. J.; Rowe, S. T.; Ward, J. D.
3
2018
Nonlocal convection-diffusion problems on bounded domains and finite-range jump processes. Zbl 1436.35307
D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Richard
32
2017
A radial basis function Galerkin method for inhomogeneous nonlocal diffusion. Zbl 1425.65167
Lehoucq, R. B.; Rowe, S. T.
10
2016
Fractional diffusion on bounded domains. Zbl 1488.35557
Defterli, Ozlem; D’Elia, Marta; Du, Qiang; Gunzburger, Max; Lehoucq, Rich; Meerschaert, Mark M.
59
2015
Integral approximations to classical diffusion and smoothed particle hydrodynamics. Zbl 1423.76363
Du, Qiang; Lehoucq, R. B.; Tartakovsky, A. M.
16
2015
A Galerkin radial basis function method for nonlocal diffusion. Zbl 1330.65174
Bond, Stephen D.; Lehoucq, Richard B.; Rowe, Stephen T.
10
2015
Computing the exit-time for a finite-range symmetric jump process. Zbl 1330.35013
Burch, Nathanial; Lehoucq, R. B.
4
2015
Nonlocal convection-diffusion volume-constrained problems and jump processes. Zbl 1284.35223
Du, Qiang; Huang, Zhan; Lehoucq, Richard B.
41
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
217
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
Peridynamics: a nonlocal continuum theory. Zbl 1311.74013
Emmrich, Etienne; Lehoucq, Richard B.; Puhst, Dimitri
20
2013
Analysis and approximation of nonlocal diffusion problems with volume constraints. Zbl 1422.76168
Du, Qiang; Gunzburger, Max; Lehoucq, R. B.; Zhou, Kun
323
2012
A new approach for a nonlocal, nonlinear conservation law. Zbl 1248.35121
Du, Qiang; Kamm, James R.; Lehoucq, R. B.; Parks, Michael L.
40
2012
Energy principles and finite element methods for pure traction linear elasticity. Zbl 1283.65106
Bochev, Pavel; Lehoucq
6
2011
A nonlocal vector calculus with application to nonlocal boundary value problems. Zbl 1210.35057
Gunzburger, Max; Lehoucq, R. B.
93
2010
A special finite element method based on component mode synthesis. Zbl 1190.65173
Hetmaniuk, Ulrich L.; Lehoucq, Richard B.
28
2010
Translation of Walter Noll’s “Derivation of the fundamental equations of continuum thermodynamics from statistical mechanics”. Zbl 1200.80002
Lehoucq, Richard B.; Von Lilienfeld-Toal, Anatole
16
2010
Blending methods for coupling atomistic and continuum models. Zbl 1432.74001
Bochev, P.; Lehoucq, R.; Parks, M.; Badia, S.; Gunzburger, M.
2
2010
Peridynamics as an upscaling of molecular dynamics. Zbl 1375.82073
Seleson, Pablo; Parks, Michael L.; Gunzburger, Max; Lehoucq, Richard B.
59
2009
Anasazi software for the numerical solution of large-scale eigenvalue problems. Zbl 1364.65083
Baker, C. G.; Hetmaniuk, U. L.; Lehoucq, R. B.; Thornquist, H. K.
16
2009
Pseudo-transient continuation for nonlinear transient elasticity. Zbl 1183.74276
Gee, Michael W.; Kelley, C. T.; Lehoucq, R. B.
5
2009
Dynamical systems and non-Hermitian iterative eigensolvers. Zbl 1191.65168
Embree, Mark; Lehoucq, Richard B.
3
2009
Preconditioning constrained eigenvalue problems. Zbl 1170.65028
Baker, C. G.; Lehoucq, R. B.
2
2009
Convergence of peridynamics to classical elasticity theory. Zbl 1159.74316
Silling, S. A.; Lehoucq, R. B.
122
2008
Implementing peridynamics within a molecular dynamics code. Zbl 1197.82014
Parks, Michael L.; Lehoucq, Richard B.; Plimpton, Steven J.; Silling, Stewart A.
68
2008
Force flux and the peridynamic stress tensor. Zbl 1171.74319
Lehoucq, R. B.; Silling, S. A.
55
2008
On atomistic-to-continuum coupling by blending. Zbl 1160.65338
Badia, Santiago; Parks, Michael; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard
40
2008
Connecting atomistic-to-continuum coupling and domain decomposition. Zbl 1160.65343
Parks, Michael L.; Bochev, Pavel B.; Lehoucq, Richard B.
24
2008
Bridging methods for coupling atomistic and continuum models. Zbl 1229.70034
Badia, Santiago; Bochev, Pavel; Gunzburger, Max; Lehoucq, Richard; Parks, Michael
1
2008
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.
33
2007
Estimating the critical time-step in explicit dynamics using the Lanczos method. Zbl 1194.74117
Koteras, J. R.; Lehoucq, R. B.
4
2007
Regularization and stabilization of discrete saddle-point variational problems. Zbl 1112.65118
Bochev, P. B.; Lehoucq, R. B.
16
2006
Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems. Zbl 1178.76240
Shadid, J. N.; Salinger, A. G.; Pawlowski, R. P.; Lin, P. T.; Hennigan, G. L.; Tuminaro, R. S.; Lehoucq, R. B.
16
2006
A primal-based penalty preconditioner for elliptic saddle point systems. Zbl 1113.65107
Dohrmann, C. R.; Lehoucq, R. B.
16
2006
Basis selection in LOBPCG. Zbl 1104.65031
Hetmaniuk, U.; Lehoucq, R.
16
2006
Compatible spatial discretizations. Papers presented at IMA hot topics workshop: compatible spatial discretizations for partial differential equations, Minneapolis, MN, USA, May 11–15, 2004. Zbl 1097.65003
14
2006
Uniform accuracy of eigenpairs from a shift-invert Lanczos method. Zbl 1130.65053
Hetmaniuk, U. L.; Lehoucq, R. B.
7
2006
An overview of the Trilinos project. Zbl 1136.65354
Heroux, Michael A.; Bartlett, Roscoe A.; Howle, Vicki E.; Hoekstra, Robert J.; Hu, Jonathan J.; Kolda, Tamara G.; Lehoucq, Richard B.; Long, Kevin R.; Pawlowski, Roger P.; Phipps, Eric T.; Salinger, Andrew G.; Thornquist, Heidi; Tuminaro, Ray S.; Willenbring, James M.; Williams, Alan; Stanley, Kendall S.
252
2005
On the finite element solution of the pure Neumann problem. Zbl 1084.65111
Bochev, Pavel; Lehoucq, R. B.
86
2005
A comparison of eigensolvers for large-scale 3D modal analysis using AMG-preconditioned iterative methods. Zbl 1093.74021
Arbenz, Peter; Hetmaniuk, Ulrich L.; Lehoucq, Richard B.; Tuminaro, Raymond S.
27
2005
An automated multilevel substructuring method for eigenspace computation in linear elastodynamics. Zbl 1133.65304
Bennighof, Jeffrey K.; Lehoucq, R. B.
40
2004
Linear stability of flow in a differentially heated cavity via large-scale eigenvalue calculations. Zbl 1086.76511
Burroughs, Elizabeth A.; Romero, Louis A.; Lehoucq, Richard B.; Salinger, Andrew G.
6
2004
Computational bifurcation and stability studies of the 8:1 thermal cavity problem. Zbl 1047.76053
Salinger, Andrew G.; Lehoucq, Richard B.; Pawlowski, Roger P.; Shadid, John N.
10
2002
Implicitly restarted Arnoldi methods and subspace iteration. Zbl 1004.65044
Lehoucq, R. B.
25
2001
Large-scale eigenvalue calculations for stability analysis of steady flows on massively parallel computers. Zbl 1037.76036
Lehoucq, Richard B.; Salinger, Andrew G.
18
2001
ARPACK user’s guide. Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods. Zbl 0901.65021
Lehoucq, R. B.; Sorensen, D. C.; Yang, C.
582
1998
Using generalized Cayley transformations within an inexact rational Krylov sequence method. Zbl 0931.65035
Lehoucq, R. B.; Meerbergen, Karl
27
1998
Special issue on large scale eigenvalue problems. Workshop at the Argonne National Laboratory, Argonne, IL, USA, May 14–16, 1997. Zbl 0912.00020
2
1998
Vibrational eigenstates of four-atom molecules: A parallel strategy employing the implicitly restarted Lanczos method. Zbl 0930.65125
Lehoucq, R. B.; Gray, S. K.; Zhang, D.-H.; Light, J. C.
1
1998
Deflation techniques for an implicitly restarted Arnoldi iteration. Zbl 0863.65016
Lehoucq, R. B.; Sorensen, D. C.
130
1996
The computation of elementary unitary matrices. Zbl 0884.65039
Lehoucq, R. B.
5
1996
all top 5

Cited by 3,335 Authors

61 Du, Qiang
35 Gunzburger, Max D.
33 D’Elia, Marta
28 Tian, Xiaochuan
21 Lehoucq, Richard B.
19 Shadid, John N.
18 Bochev, Pavel B.
17 Ju, Lili
16 Rossi, Julio Daniel
15 Bobaru, Florin
15 Kronbichler, Martin
14 Giani, Stefano
14 Yu, Yue
13 Mengesha, Tadele
13 Sipp, Denis
13 Warma, Mahamadi
12 Badia, Santiago
12 Davydov, Denis
12 Foster, John T. jun.
12 Heltai, Luca
12 Lipton, Robert P.
12 Pelteret, Jean-Paul
12 Schmid, Peter Joseph
12 Silling, Stewart A.
12 Trask, Nathaniel A.
11 Heister, Timo
11 Kressner, Daniel
11 Pawlowski, Roger P.
10 Bangerth, Wolfgang
10 Heinlein, Alexander
10 Klawonn, Axel
10 Li, Xingjie Helen
10 Madenci, Erdogan
10 Maier, Matthias Sebastian
10 Parks, Michael L.
10 Perego, Mauro
10 Phipps, Eric T.
10 Saad, Yousef
10 Seleson, Pablo
10 Zhang, Jiwei
9 Bergamaschi, Luca
9 Cyr, Eric C.
9 Li, Shaofan
9 Luskin, Mitchell
9 Mehrmann, Volker
9 Ortner, Christoph
9 Rheinbach, Oliver
9 Tuminaro, Raymond S.
9 Turcksin, Bruno
9 Wall, Wolfgang A.
9 Yang, Chao
9 You, Huaiqian
8 Aksoylu, Burak
8 Arndt, Daniel
8 Babuška, Ivo
8 Baglama, James
8 Banerjee, Uday
8 Codina, Ramon
8 Guglielmi, Nicola
8 Marquet, Olivier
8 Pini, Giorgio
8 Salinger, Andrew G.
8 Steinmann, Paul
8 Stoll, Martin
8 Wick, Thomas
8 Zhou, Yunkai
7 Arbenz, Peter
7 Benner, Peter
7 Covi, Giovanni
7 Hetmaniuk, Ulrich L.
7 Huang, Chengming
7 Jolivet, Pierre
7 Li, Xiao
7 Meerschaert, Mark Marvin
7 Nie, Yufeng
7 Prudhomme, Serge
7 Qiao, Zhonghua
7 Schlatter, Philipp
7 Wang, Hong
7 Zhang, Qinghui
7 Zhou, Zhi
6 Auteri, Franco
6 Bellido, José Carlos
6 Duan, Jinqiao
6 Guan, Qingguang
6 Henningson, Dan S.
6 Ignat, Liviu I.
6 Karniadakis, George Em
6 Kim, Jin-Gyun
6 Krause, Rolf H.
6 Kuhlmann, Hendrik C.
6 Lin, Paul T.
6 Lin, Wen-Wei
6 Meerbergen, Karl
6 Mora-Corral, Carlos
6 Net, Marta
6 Oden, John Tinsley
6 Patera, Anthony T.
6 Radu, Petronela
6 Reichel, Lothar
...and 3,235 more Authors
all top 5

Cited in 290 Serials

209 Computer Methods in Applied Mechanics and Engineering
162 Journal of Computational Physics
90 Journal of Fluid Mechanics
87 SIAM Journal on Scientific Computing
52 Journal of Computational and Applied Mathematics
51 Computers & Mathematics with Applications
50 International Journal for Numerical Methods in Engineering
38 Journal of Scientific Computing
37 Applied Mathematics and Computation
37 Linear Algebra and its Applications
35 Computer Physics Communications
33 Applied Numerical Mathematics
33 Computational Mechanics
29 SIAM Journal on Numerical Analysis
28 Numerical Linear Algebra with Applications
25 Numerische Mathematik
23 Computers and Fluids
23 International Journal for Numerical Methods in Fluids
23 Multiscale Modeling & Simulation
21 Numerical Algorithms
21 Journal of Elasticity
20 SIAM Journal on Matrix Analysis and Applications
19 Mathematics of Computation
19 BIT
16 Mathematics and Mechanics of Solids
13 Numerical Methods for Partial Differential Equations
12 Journal of Mathematical Analysis and Applications
12 Advances in Computational Mathematics
11 SIAM Journal on Mathematical Analysis
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Physics of Fluids
10 Computational Geosciences
9 Inverse Problems
9 Fractional Calculus & Applied Analysis
9 Journal of Numerical Mathematics
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
9 Communications in Computational Physics
8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
8 Applied Mathematical Modelling
8 International Journal of Computer Mathematics
8 Engineering Analysis with Boundary Elements
8 Communications in Nonlinear Science and Numerical Simulation
7 Applicable Analysis
7 Applied Mathematics Letters
7 Calculus of Variations and Partial Differential Equations
7 ETNA. Electronic Transactions on Numerical Analysis
7 Optimization Methods & Software
7 Archives of Computational Methods in Engineering
7 Discrete and Continuous Dynamical Systems. Series B
7 GAMM-Mitteilungen
7 Numerical Mathematics: Theory, Methods and Applications
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 ACM Transactions on Mathematical Software
6 SIAM Journal on Applied Mathematics
6 SIAM Review
6 Computational and Applied Mathematics
6 Computing and Visualization in Science
6 Computational Methods in Applied Mathematics
6 Communications on Applied Mathematics and Computation
5 Archive for Rational Mechanics and Analysis
5 International Journal of Engineering Science
5 Journal of Statistical Physics
5 Mathematical Methods in the Applied Sciences
5 Nonlinearity
5 Applied Mathematics and Optimization
5 Mathematics and Computers in Simulation
5 Mathematical and Computer Modelling
5 Mathematical Programming. Series A. Series B
5 Discrete and Continuous Dynamical Systems
5 European Journal of Mechanics. A. Solids
5 European Journal of Mechanics. B. Fluids
5 Communications on Pure and Applied Analysis
5 SIAM Journal on Applied Dynamical Systems
5 Acta Numerica
4 Acta Mechanica
4 International Journal of Solids and Structures
4 Journal of the Mechanics and Physics of Solids
4 Journal of Differential Equations
4 Meccanica
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Continuum Mechanics and Thermodynamics
4 Computational Optimization and Applications
4 Communications in Numerical Methods in Engineering
4 NoDEA. Nonlinear Differential Equations and Applications
4 Mathematical Problems in Engineering
4 Chaos
4 Inverse Problems in Science and Engineering
4 Science China. Mathematics
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 Geophysical and Astrophysical Fluid Dynamics
3 Linear and Multilinear Algebra
3 Wave Motion
3 Bulletin of Mathematical Biology
3 Chaos, Solitons and Fractals
3 Computing
3 Journal of Functional Analysis
3 Journal of Optimization Theory and Applications
3 Numerical Functional Analysis and Optimization
3 Optimization
3 Japan Journal of Industrial and Applied Mathematics
...and 190 more Serials
all top 5

Cited in 48 Fields

1,121 Numerical analysis (65-XX)
512 Partial differential equations (35-XX)
438 Mechanics of deformable solids (74-XX)
418 Fluid mechanics (76-XX)
114 Integral equations (45-XX)
114 Statistical mechanics, structure of matter (82-XX)
99 Linear and multilinear algebra; matrix theory (15-XX)
79 Calculus of variations and optimal control; optimization (49-XX)
70 Probability theory and stochastic processes (60-XX)
64 Optics, electromagnetic theory (78-XX)
62 Operator theory (47-XX)
61 Quantum theory (81-XX)
59 Computer science (68-XX)
57 Operations research, mathematical programming (90-XX)
52 Biology and other natural sciences (92-XX)
44 Functional analysis (46-XX)
43 Statistics (62-XX)
42 Real functions (26-XX)
38 Dynamical systems and ergodic theory (37-XX)
37 Ordinary differential equations (34-XX)
32 Classical thermodynamics, heat transfer (80-XX)
32 Systems theory; control (93-XX)
28 Geophysics (86-XX)
22 Mechanics of particles and systems (70-XX)
21 Approximations and expansions (41-XX)
19 Combinatorics (05-XX)
13 Information and communication theory, circuits (94-XX)
11 Global analysis, analysis on manifolds (58-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Differential geometry (53-XX)
6 General and overarching topics; collections (00-XX)
6 Potential theory (31-XX)
6 Special functions (33-XX)
5 History and biography (01-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Astronomy and astrophysics (85-XX)
3 Difference and functional equations (39-XX)
2 Group theory and generalizations (20-XX)
2 Integral transforms, operational calculus (44-XX)
2 Mathematics education (97-XX)
1 Number theory (11-XX)
1 Algebraic geometry (14-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year