Edit Profile (opens in new tab) Tuminaro, Ray S. Co-Author Distance Author ID: tuminaro.ray-s Published as: Tuminaro, Ray S.; Tuminaro, Ray; Tuminaro, R. S. more...less Documents Indexed: 40 Publications since 1988, including 1 Additional arXiv Preprint 3 Contributions as Editor Co-Authors: 66 Co-Authors with 39 Joint Publications 1,930 Co-Co-Authors all top 5 Co-Authors 2 single-authored 17 Shadid, John N. 7 Elman, Howard C. 5 Lin, Paul T. 4 Howle, Victoria E. 4 Hu, Jonathan Joseph 4 Pawlowski, Roger P. 3 Giraud, Luc 3 Keyes, David Elliot 3 Sala, Marzio 3 Silvester, David J. 3 Walker, Homer F. 2 Benzi, Michele 2 Berger-Vergiat, Luc 2 Cai, Xiao-Chuan 2 Carlberg, Kevin T. 2 Chacón, Luis 2 Cyr, Eric C. 2 Devine, Karen D. 2 Douglas, Craig C. 2 Duff, Iain S. 2 Hennigan, Gary L. 2 Hiriyur, Badri 2 Jordan, Kirk E. 2 Kelley, Tim 2 Kilmer, Misha Elena 2 Kouri, Drew P. 2 Lehoucq, Richard B. 2 Leyffer, Sven 2 Manteuffel, Thomas A. 2 McCormick, Steve Fahrney 2 Ray, Jaideep 2 Ridzal, Denis 2 Salinger, Andrew G. 2 Shuttleworth, Robert R. 2 Waisman, Haim 2 Woodward, Carol S. 2 Yavneh, Irad 1 Adams, Mark F. 1 Adler, James H. 1 Banks, Jeffrey W. 1 Bartlett, Roscoe A. 1 Benson, Thomas R. 1 Boggs, Paul T. 1 Boman, Erik G. 1 Brezina, Marian 1 Chan, Tony Fan-Cheong 1 Day, David M. 1 Forstall, Virginia 1 Freund, Roland W. 1 Guevara Vasquez, Fernando 1 Harper, Graham 1 Heroux, Michael A. 1 Hoekstra, Robert J. 1 Howle, Vicki E. 1 Hutchinson, Scott A. 1 Knoll, Dana A. 1 Kolda, Tamara Gibson 1 Livshits, Irene 1 Long, Kevin R. 1 MacLachlan, Scott P. 1 Mayr, Matthias 1 Meza, Juan C. 1 Ohm, Peter 1 Olson, Luke N. 1 Perego, Mauro 1 Phipps, Eric T. 1 Stanley, Kendall S. 1 Tezaur, Irina 1 Thorne, Dan T. 1 Thorne, Danny 1 Thornquist, Heidi K. 1 Tsuji, Paul 1 Weber, P. D. 1 Willenbring, James M. 1 Womble, David E. 1 Xu, Jinchao 1 Zhu, Yunrong all top 5 Serials 15 SIAM Journal on Scientific Computing 6 Journal of Computational Physics 3 International Journal for Numerical Methods in Engineering 3 Numerical Linear Algebra with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 SIAM Journal on Matrix Analysis and Applications 1 IMA Journal of Numerical Analysis 1 ACM Transactions on Mathematical Software 1 SIAM Journal on Scientific and Statistical Computing 1 Concurrency: Practice and Experience 1 Communications in Numerical Methods in Engineering 1 ETNA. Electronic Transactions on Numerical Analysis all top 5 Fields 36 Numerical analysis (65-XX) 16 Partial differential equations (35-XX) 13 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 717 times in 579 Documents Cited by ▼ Year ▼ 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 Block preconditioners based on approximate commutators. Zbl 1100.65042 Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 76 2006 A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023 Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 68 2008 Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. Zbl 1320.65193 Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul 54 2015 Parallel multigrid smoothing: Polynomial versus Gauss–Seidel. Zbl 1022.65030 Adams, Mark; Brezina, Marian; Hu, Jonathan; Tuminaro, Ray 50 2003 Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. Zbl 1425.76312 Shadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacón, L.; Lin, P. T.; Tuminaro, R. S. 44 2010 Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG. Zbl 1423.76275 Shadid, J. N.; Pawlowski, R. P.; Cyr, E. C.; Tuminaro, R. S.; Chacón, L.; Weber, P. D. 31 2016 An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066 Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F. 27 1997 Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods. Zbl 1242.74094 Berger-Vergiat, Luc; Waisman, Haim; Hiriyur, Badri; Tuminaro, Ray; Keyes, David 26 2012 Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport. Zbl 1110.76315 Lin, Paul T.; Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 25 2006 Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations. Zbl 1087.76069 Shadid, J. N.; Tuminaro, R. S.; Devine, K. D.; Hennigan, G. L.; Lin, P. T. 25 2005 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539 Elman, Howard C.; Tuminaro, Ray S. 24 2009 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326 Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 24 2007 A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058 Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S. 18 2003 On a multilevel preconditioning module for unstructured mesh Krylov solvers: Two-level Schwarz. Zbl 0999.65101 Tuminaro, R. S.; Tong, C. H.; Shadid, J. N.; Devine, K. D.; Day, D. M. 18 2002 A quasi-algebraic multigrid approach to fracture problems based on extended finite elements. Zbl 1390.74181 Hiriyur, B.; Tuminaro, R. S.; Waisman, H.; Boman, E. G.; Keyes, D. E. 17 2012 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 Krylov-subspace recycling via the POD-augmented conjugate-gradient method. Zbl 1348.15005 Carlberg, Kevin; Forstall, Virginia; Tuminaro, Ray 13 2016 A multigrid preconditioner for the semiconductor equations. Zbl 0845.35122 Meza, Juan C.; Tuminaro, Ray S. 9 1996 A comparison of preconditioned nonsymmetric Krylov methods on a large- scale MIMD machine. Zbl 0798.65047 Shadid, John N.; Tuminaro, Ray S. 9 1994 Monolithic multigrid methods for magnetohydrodynamics. Zbl 1490.76133 Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S. 7 2021 Auxiliary space preconditioners for mixed finite element methods. Zbl 1183.65151 Tuminaro, Ray S.; Xu, Jinchao; Zhu, Yunrong 6 2009 An improved convergence bound for aggregation-based domain decomposition preconditioners. Zbl 1105.65116 Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 6 2005 Performance of a Petrov – Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equations. Zbl 1202.82003 Lin, Paul T.; Shadid, John N.; Tuminaro, Ray S.; Sala, Marzio 5 2010 Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Zbl 1071.65556 Giraud, L.; Guevara Vasquez, F.; Tuminaro, R. S. 4 2003 A highly parallel multigrid-like method for the solution of the Euler equations. Zbl 0742.76068 Tuminaro, Ray S. 4 1992 Augmented AMG-shifted Laplacian preconditioners for indefinite Helmholtz problems. Zbl 1374.65039 Tsuji, P.; Tuminaro, R. 4 2015 Parallel sparse matric vector multiply software for matrices with data locality. Zbl 0906.68045 Tuminaro, Ray S.; Shadid, John N.; Hutchinson, Scott A. 3 1998 Schur complement preconditioners for anisotropic problems. Zbl 0923.65085 Giraud, Luc; Tuminaro, Ray S. 3 1999 A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling. Zbl 1351.65095 Tuminaro, R.; Perego, M.; Tezaur, I.; Salinger, A.; Price, S. 3 2016 Noninvasive multigrid for semistructured grids. Zbl 1507.65278 Mayr, Matthias; Berger-Vergiat, Luc; Ohm, Peter; Tuminaro, Ray S. 3 2022 Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh refinement hierarchies. Zbl 1164.65519 Douglas, C. C.; Hu, J.; Ray, J.; Thorne, D. T.; Tuminaro, R. S. 2 2004 Design and implementation of parallel multigrid algorithms. Zbl 0652.65076 Chan, Tony F.; Tuminaro, Ray S. 1 1988 Noninvasive multigrid for semistructured grids. Zbl 1507.65278 Mayr, Matthias; Berger-Vergiat, Luc; Ohm, Peter; Tuminaro, Ray S. 3 2022 Monolithic multigrid methods for magnetohydrodynamics. Zbl 1490.76133 Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S. 7 2021 Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG. Zbl 1423.76275 Shadid, J. N.; Pawlowski, R. P.; Cyr, E. C.; Tuminaro, R. S.; Chacón, L.; Weber, P. D. 31 2016 Krylov-subspace recycling via the POD-augmented conjugate-gradient method. Zbl 1348.15005 Carlberg, Kevin; Forstall, Virginia; Tuminaro, Ray 13 2016 A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling. Zbl 1351.65095 Tuminaro, R.; Perego, M.; Tezaur, I.; Salinger, A.; Price, S. 3 2016 Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. Zbl 1320.65193 Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul 54 2015 Augmented AMG-shifted Laplacian preconditioners for indefinite Helmholtz problems. Zbl 1374.65039 Tsuji, P.; Tuminaro, R. 4 2015 Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods. Zbl 1242.74094 Berger-Vergiat, Luc; Waisman, Haim; Hiriyur, Badri; Tuminaro, Ray; Keyes, David 26 2012 A quasi-algebraic multigrid approach to fracture problems based on extended finite elements. Zbl 1390.74181 Hiriyur, B.; Tuminaro, R. S.; Waisman, H.; Boman, E. G.; Keyes, D. E. 17 2012 Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. Zbl 1425.76312 Shadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacón, L.; Lin, P. T.; Tuminaro, R. S. 44 2010 Performance of a Petrov – Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equations. Zbl 1202.82003 Lin, Paul T.; Shadid, John N.; Tuminaro, Ray S.; Sala, Marzio 5 2010 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539 Elman, Howard C.; Tuminaro, Ray S. 24 2009 Auxiliary space preconditioners for mixed finite element methods. Zbl 1183.65151 Tuminaro, Ray S.; Xu, Jinchao; Zhu, Yunrong 6 2009 A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023 Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 68 2008 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326 Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 24 2007 Block preconditioners based on approximate commutators. Zbl 1100.65042 Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 76 2006 Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport. Zbl 1110.76315 Lin, Paul T.; Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 25 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 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 Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations. Zbl 1087.76069 Shadid, J. N.; Tuminaro, R. S.; Devine, K. D.; Hennigan, G. L.; Lin, P. T. 25 2005 An improved convergence bound for aggregation-based domain decomposition preconditioners. Zbl 1105.65116 Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 6 2005 Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh refinement hierarchies. Zbl 1164.65519 Douglas, C. C.; Hu, J.; Ray, J.; Thorne, D. T.; Tuminaro, R. S. 2 2004 Parallel multigrid smoothing: Polynomial versus Gauss–Seidel. Zbl 1022.65030 Adams, Mark; Brezina, Marian; Hu, Jonathan; Tuminaro, Ray 50 2003 A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058 Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S. 18 2003 Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Zbl 1071.65556 Giraud, L.; Guevara Vasquez, F.; Tuminaro, R. S. 4 2003 On a multilevel preconditioning module for unstructured mesh Krylov solvers: Two-level Schwarz. Zbl 0999.65101 Tuminaro, R. S.; Tong, C. H.; Shadid, J. N.; Devine, K. D.; Day, D. M. 18 2002 Schur complement preconditioners for anisotropic problems. Zbl 0923.65085 Giraud, Luc; Tuminaro, Ray S. 3 1999 Parallel sparse matric vector multiply software for matrices with data locality. Zbl 0906.68045 Tuminaro, Ray S.; Shadid, John N.; Hutchinson, Scott A. 3 1998 An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066 Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F. 27 1997 A multigrid preconditioner for the semiconductor equations. Zbl 0845.35122 Meza, Juan C.; Tuminaro, Ray S. 9 1996 A comparison of preconditioned nonsymmetric Krylov methods on a large- scale MIMD machine. Zbl 0798.65047 Shadid, John N.; Tuminaro, Ray S. 9 1994 A highly parallel multigrid-like method for the solution of the Euler equations. Zbl 0742.76068 Tuminaro, Ray S. 4 1992 Design and implementation of parallel multigrid algorithms. Zbl 0652.65076 Chan, Tony F.; Tuminaro, Ray S. 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 1,202 Authors 22 Shadid, John N. 20 Kronbichler, Martin 13 Heltai, Luca 12 Wall, Wolfgang A. 11 Badia, Santiago 11 Heister, Timo 11 Pelteret, Jean-Paul 11 Tuminaro, Raymond S. 10 Bangerth, Wolfgang 10 Carlberg, Kevin T. 10 Cyr, Eric C. 10 Pawlowski, Roger P. 10 Shang, Yueqiang 10 Vuik, Cornelis 9 Lin, Paul T. 9 MacLachlan, Scott P. 9 Maier, Matthias Sebastian 9 Manzoni, Andrea 9 Quarteroni, Alfio M. 9 Turcksin, Bruno 8 Arndt, Daniel 7 Davydov, Denis 7 Heinlein, Alexander 7 Klawonn, Axel 7 Phipps, Eric T. 6 Benzi, Michele 6 Coutinho, Alvaro L. G. A. 6 Deparis, Simone 6 Gravemeier, Volker 6 Hesthaven, Jan S. 6 Hu, Jonathan Joseph 6 Martín, Alberto F. 6 Notay, Yvan 6 Phillips, Edward G. 6 Tuminaro, Ray S. 6 Verdugo, Francesc 6 Wheeler, Mary Fanett 6 Wick, Thomas 5 Adler, James H. 5 Cai, Xiao-Chuan 5 Elman, Howard C. 5 Fehling, Marc 5 Ferronato, Massimiliano 5 Hu, Xiaozhe 5 John, Volker 5 Karasözen, Bülent 5 Kirby, Robert C. 5 Knoll, Dana A. 5 Munch, Peter 5 Rheinbach, Oliver 5 Rivière, Beatrice M. 5 Roberts, Nathan V. 5 Uzunca, Murat 4 Arbenz, Peter 4 Barbieri, Luca 4 Brunton, Steven L. 4 Castelletto, Nicola 4 Dal Santo, Niccolò 4 Evans, Thomas M. 4 Farrell, Patrick Emmet 4 Gee, Michael W. 4 Hennigan, Gary L. 4 Howle, Victoria E. 4 Jolivet, Pierre 4 Keyes, David Elliot 4 Klaij, Christiaan M. 4 Malgesini, Roberto 4 Mitchell, Lawrence 4 Olshanskii, Maxim A. 4 Pagliantini, Cecilia 4 Perego, Mauro 4 Ruiz-Baier, Ricardo 4 Steinmann, Paul 4 Tezaur, Irina 4 Thiele, Christopher 4 Villa, Andrea 4 Waisman, Haim 4 White, Joshua A. 3 Afkham, Babak Maboudi 3 Aulisa, Eugenio 3 Babuška, Ivo 3 Ballard, Grey M. 3 Banerjee, Uday 3 Barone, Matthew F. 3 Berger-Vergiat, Luc 3 Bochev, Pavel B. 3 Bordas, Stéphane Pierre Alain 3 Camata, Jose J. 3 Chacón, Luis 3 Constantine, Paul G. 3 D’Ambra, Pasqua 3 de Prenter, Frits 3 D’Elia, Marta 3 Demkowicz, Leszek F. 3 di Serafino, Daniela 3 Fabien, Maurice S. 3 Feder, Marco 3 Filippone, Salvatore 3 Franceschini, Andrea 3 Garikipati, Krishna ...and 1,102 more Authors all top 5 Cited in 91 Serials 97 Journal of Computational Physics 85 Computer Methods in Applied Mechanics and Engineering 72 SIAM Journal on Scientific Computing 22 Computers & Mathematics with Applications 17 Computers and Fluids 17 International Journal for Numerical Methods in Engineering 14 Journal of Computational and Applied Mathematics 13 Computational Mechanics 12 Applied Mathematics and Computation 10 International Journal for Numerical Methods in Fluids 10 Applied Numerical Mathematics 9 Journal of Scientific Computing 9 Journal of Numerical Mathematics 8 BIT 8 Numerical Linear Algebra with Applications 7 Computer Physics Communications 7 Journal of Fluid Mechanics 7 Numerische Mathematik 7 Computational Geosciences 7 Archives of Computational Methods in Engineering 6 Numerical Algorithms 6 Communications in Computational Physics 5 ACM Transactions on Mathematical Software 4 Computing and Visualization in Science 3 Mathematics of Computation 3 Bulletin of Mathematical Biology 3 Mathematics and Computers in Simulation 3 Numerical Methods for Partial Differential Equations 3 SIAM Journal on Matrix Analysis and Applications 3 Advances in Computational Mathematics 3 GAMM-Mitteilungen 2 Journal of Engineering Mathematics 2 Theoretical and Computational Fluid Dynamics 2 Computing 2 SIAM Journal on Numerical Analysis 2 Applications of Mathematics 2 International Journal of Computer Mathematics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 ETNA. Electronic Transactions on Numerical Analysis 2 Mathematical Problems in Engineering 2 International Journal of Computational Fluid Dynamics 2 European Journal of Mechanics. A. Solids 2 Engineering Computations 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 Acta Numerica 2 International Journal of Parallel, Emergent and Distributed Systems 2 SMAI Journal of Computational Mathematics 1 International Journal of Heat and Mass Transfer 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Applied Mathematics and Optimization 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Applied Mathematics Letters 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Applied Mathematical Modelling 1 Linear Algebra and its Applications 1 Applicable Algebra in Engineering, Communication and Computing 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 Journal of Inverse and Ill-Posed Problems 1 Journal of Computational Neuroscience 1 Engineering Analysis with Boundary Elements 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Chaos 1 Journal of Mathematical Fluid Mechanics 1 International Journal of Applied Mathematics and Computer Science 1 Combustion Theory and Modelling 1 Journal of Turbulence 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 Communications in Applied Mathematics and Computational Science 1 Networks and Heterogeneous Media 1 Advances in Applied Mathematics and Mechanics 1 International Journal for Numerical Methods in Biomedical Engineering 1 GEM - International Journal on Geomathematics 1 The Journal of Mathematical Neuroscience 1 Journal of Mathematics in Industry 1 Communications in Applied and Industrial Mathematics 1 S\(\vec{\text{e}}\)MA Journal 1 ISRN Applied Mathematics 1 Journal of Computational Dynamics 1 East Asian Journal on Applied Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Mathematics in Engineering 1 Journal of Computational and Theoretical Transport 1 Journal of Computational Physics: X all top 5 Cited in 34 Fields 452 Numerical analysis (65-XX) 264 Fluid mechanics (76-XX) 109 Partial differential equations (35-XX) 96 Mechanics of deformable solids (74-XX) 30 Biology and other natural sciences (92-XX) 24 Optics, electromagnetic theory (78-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Statistical mechanics, structure of matter (82-XX) 16 Geophysics (86-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Computer science (68-XX) 9 Probability theory and stochastic processes (60-XX) 9 Systems theory; control (93-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Statistics (62-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 Combinatorics (05-XX) 5 Operations research, mathematical programming (90-XX) 4 Integral equations (45-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Quantum theory (81-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year