Edit Profile (opens in new tab) Lehoucq, Richard B. Co-Author Distance Author ID: lehoucq.richard-b Published as: Lehoucq, R. B.; Lehoucq, Richard B.; Lehoucq, Richard; Lehoucq, R.; Lehoucq, Rich; Lehoucq more...less Homepage: http://www.sandia.gov/~rblehou/ Documents Indexed: 57 Publications since 1992, including 1 Book and 4 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 71 Co-Authors with 56 Joint Publications 2,164 Co-Co-Authors all top 5 Co-Authors 4 single-authored 12 Gunzburger, Max D. 9 Bochev, Pavel B. 8 Du, Qiang 7 Parks, Michael L. 5 Hetmaniuk, Ulrich L. 5 Salinger, Andrew G. 4 Silling, Stewart A. 3 Badia, Santiago 3 D’Elia, Marta 3 Pawlowski, Roger P. 3 Rowe, Stephen T. 3 Zhou, Kun 2 Baker, C. G. 2 Burch, Nathanial 2 Carr, Steve 2 Embree, Mark 2 Emmrich, Etienne 2 Kelley, Carl T. 2 Shadid, John N. 2 Sorensen, Danny C. 2 Thornquist, Heidi K. 1 Aimone, James B. 1 Arbenz, Peter 1 Arnold, Douglas Norman 1 Bartlett, Roscoe A. 1 Benner, Peter 1 Bennighof, Jeffrey K. 1 Bond, Stephen D. 1 Burroughs, Elizabeth A. 1 Defterli, Ozlem 1 Dohrmann, Clark R. 1 Dunlavy, Daniel M. 1 Franke, Brian C. 1 Gee, Michael W. 1 Gray, Stephen K. 1 Hennigan, Gary L. 1 Heroux, Michael A. 1 Hill, Aaron J. 1 Hoekstra, Robert J. 1 Howle, Vicki E. 1 Hu, Jonathan Joseph 1 Huang, Zhan 1 Kamm, James R. 1 Kolda, Tamara Gibson 1 Koteras, J. Richard 1 Light, J. C. 1 Lin, Paul T. 1 Lipton, Robert P. 1 Long, Kevin R. 1 Meerbergen, Karl 1 Meerschaert, Mark Marvin 1 Narcowich, Francis J. 1 Nicolaides, Roy A. 1 Parekh, Ojas D. 1 Phipps, Eric T. 1 Plimpton, Steven J. 1 Puhst, Dimitri 1 Reeder, Leah E. 1 Romero, Louis A. 1 Seleson, Pablo 1 Severa, William 1 Shashkov, Mikhail J. 1 Smith, J. Darby 1 Stanley, Kendall S. 1 Tartakovsky, Alexandre M. 1 Tuminaro, Ray S. 1 Tuminaro, Raymond S. 1 von Lilienfeld, Otto Anatole 1 Ward, Joseph Dinneen 1 Willenbring, James M. 1 Yang, Chao all top 5 Serials 4 ACM Transactions on Mathematical Software 4 SIAM Journal on Matrix Analysis and Applications 4 Multiscale Modeling & Simulation 3 Computer Methods in Applied Mechanics and Engineering 3 International Journal for Numerical Methods in Fluids 3 International Journal for Numerical Methods in Engineering 3 Journal of Elasticity 2 Computer Physics Communications 2 SIAM Journal on Numerical Analysis 2 Linear Algebra and its Applications 2 SIAM Review 2 ETNA. Electronic Transactions on Numerical Analysis 2 Computational Methods in Applied Mathematics 1 Journal of Computational Physics 1 Journal of the Mechanics and Physics of Solids 1 Mathematics of Computation 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Monte Carlo Methods and Applications 1 Fractional Calculus & Applied Analysis 1 Discrete and Continuous Dynamical Systems. Series B 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 The IMA Volumes in Mathematics and its Applications 1 Software - Environments - Tools all top 5 Fields 33 Numerical analysis (65-XX) 18 Partial differential equations (35-XX) 11 Mechanics of deformable solids (74-XX) 10 Fluid mechanics (76-XX) 7 Integral equations (45-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Real functions (26-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of particles and systems (70-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Probability theory and stochastic processes (60-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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