Edit Profile (opens in new tab) Tuminaro, Ray S. Compute Distance To: Compute Author ID: tuminaro.ray-s Published as: Tuminaro, Ray S.; Tuminaro, Ray; Tuminaro, R. S. more...less Documents Indexed: 39 Publications since 1988 3 Contributions as Editor Co-Authors: 62 Co-Authors with 36 Joint Publications 1,652 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 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 Hu, Jonathan J. 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 Ridzal, Denis 2 Salinger, Andrew G. 2 Shuttleworth, Robert R. 2 Thorne, Dan T. 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 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 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) 15 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) 3 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 Calculus of variations and optimal control; optimization (49-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 32 Publications have been cited 624 times in 503 Documents Cited by ▼ Year ▼ An overview of the Trilinos project. Zbl 1136.65354Heroux, 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. 224 2005 Block preconditioners based on approximate commutators. Zbl 1100.65042Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 67 2006 A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 60 2008 Parallel multigrid smoothing: Polynomial versus Gauss–Seidel. Zbl 1022.65030Adams, Mark; Brezina, Marian; Hu, Jonathan; Tuminaro, Ray 45 2003 Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. Zbl 1320.65193Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul 39 2015 Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. Zbl 1425.76312Shadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacón, L.; Lin, P. T.; Tuminaro, R. S. 39 2010 An inexact Newton method for fully coupled solution of the Navier-Stokes equations with heat and mass transport. Zbl 0898.76066Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F. 26 1997 Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations. Zbl 1087.76069Shadid, J. N.; Tuminaro, R. S.; Devine, K. D.; Hennigan, G. L.; Lin, P. T. 24 2005 Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport. Zbl 1110.76315Lin, Paul T.; Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 23 2006 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539Elman, Howard C.; Tuminaro, Ray S. 22 2009 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 21 2007 Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG. Zbl 1423.76275Shadid, J. N.; Pawlowski, R. P.; Cyr, E. C.; Tuminaro, R. S.; Chacón, L.; Weber, P. D. 20 2016 Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods. Zbl 1242.74094Berger-Vergiat, Luc; Waisman, Haim; Hiriyur, Badri; Tuminaro, Ray; Keyes, David 20 2012 On a multilevel preconditioning module for unstructured mesh Krylov solvers: Two-level Schwarz. Zbl 0999.65101Tuminaro, R. S.; Tong, C. H.; Shadid, J. N.; Devine, K. D.; Day, D. M. 18 2002 A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S. 17 2003 Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems. Zbl 1178.76240Shadid, J. N.; Salinger, A. G.; Pawlowski, R. P.; Lin, P. T.; Hennigan, G. L.; Tuminaro, R. S.; Lehoucq, R. B. 16 2006 A quasi-algebraic multigrid approach to fracture problems based on extended finite elements. Zbl 1390.74181Hiriyur, B.; Tuminaro, R. S.; Waisman, H.; Boman, E. G.; Keyes, D. E. 13 2012 A comparison of preconditioned nonsymmetric Krylov methods on a large- scale MIMD machine. Zbl 0798.65047Shadid, John N.; Tuminaro, Ray S. 9 1994 A multigrid preconditioner for the semiconductor equations. Zbl 0845.35122Meza, Juan C.; Tuminaro, Ray S. 9 1996 Krylov-subspace recycling via the POD-augmented conjugate-gradient method. Zbl 1348.15005Carlberg, Kevin; Forstall, Virginia; Tuminaro, Ray 9 2016 An improved convergence bound for aggregation-based domain decomposition preconditioners. Zbl 1105.65116Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 6 2005 Auxiliary space preconditioners for mixed finite element methods. Zbl 1183.65151Tuminaro, Ray S.; Xu, Jinchao; Zhu, Yunrong 5 2009 Performance of a Petrov – Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equations. Zbl 1202.82003Lin, Paul T.; Shadid, John N.; Tuminaro, Ray S.; Sala, Marzio 5 2010 A highly parallel multigrid-like method for the solution of the Euler equations. Zbl 0742.76068Tuminaro, Ray S. 4 1992 Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Zbl 1071.65556Giraud, L.; Guevara Vasquez, F.; Tuminaro, R. S. 4 2003 Schur complement preconditioners for anisotropic problems. Zbl 0923.65085Giraud, Luc; Tuminaro, Ray S. 3 1999 Augmented AMG-shifted Laplacian preconditioners for indefinite Helmholtz problems. Zbl 1374.65039Tsuji, P.; Tuminaro, R. 3 2015 Parallel sparse matric vector multiply software for matrices with data locality. Zbl 0906.68045Tuminaro, Ray S.; Shadid, John N.; Hutchinson, Scott A. 3 1998 Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh refinement hierarchies. Zbl 1164.65519Douglas, C. C.; Hu, J.; Ray, J.; Thorne, D. T.; Tuminaro, R. S. 2 2004 A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling. Zbl 1351.65095Tuminaro, R.; Perego, M.; Tezaur, I.; Salinger, A.; Price, S. 2 2016 Monolithic multigrid methods for magnetohydrodynamics. Zbl 1490.76133Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S. 2 2021 Design and implementation of parallel multigrid algorithms. Zbl 0652.65076Chan, Tony F.; Tuminaro, Ray S. 1 1988 Monolithic multigrid methods for magnetohydrodynamics. Zbl 1490.76133Adler, James H.; Benson, Thomas R.; Cyr, Eric C.; Farrell, Patrick E.; MacLachlan, Scott P.; Tuminaro, Ray S. 2 2021 Scalable implicit incompressible resistive MHD with stabilized FE and fully-coupled Newton-Krylov-AMG. Zbl 1423.76275Shadid, J. N.; Pawlowski, R. P.; Cyr, E. C.; Tuminaro, R. S.; Chacón, L.; Weber, P. D. 20 2016 Krylov-subspace recycling via the POD-augmented conjugate-gradient method. Zbl 1348.15005Carlberg, Kevin; Forstall, Virginia; Tuminaro, Ray 9 2016 A matrix dependent/algebraic multigrid approach for extruded meshes with applications to ice sheet modeling. Zbl 1351.65095Tuminaro, R.; Perego, M.; Tezaur, I.; Salinger, A.; Price, S. 2 2016 Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. Zbl 1320.65193Carlberg, Kevin; Tuminaro, Ray; Boggs, Paul 39 2015 Augmented AMG-shifted Laplacian preconditioners for indefinite Helmholtz problems. Zbl 1374.65039Tsuji, P.; Tuminaro, R. 3 2015 Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods. Zbl 1242.74094Berger-Vergiat, Luc; Waisman, Haim; Hiriyur, Badri; Tuminaro, Ray; Keyes, David 20 2012 A quasi-algebraic multigrid approach to fracture problems based on extended finite elements. Zbl 1390.74181Hiriyur, B.; Tuminaro, R. S.; Waisman, H.; Boman, E. G.; Keyes, D. E. 13 2012 Towards a scalable fully-implicit fully-coupled resistive MHD formulation with stabilized FE methods. Zbl 1425.76312Shadid, J. N.; Pawlowski, R. P.; Banks, J. W.; Chacón, L.; Lin, P. T.; Tuminaro, R. S. 39 2010 Performance of a Petrov – Galerkin algebraic multilevel preconditioner for finite element modeling of the semiconductor device drift-diffusion equations. Zbl 1202.82003Lin, Paul T.; Shadid, John N.; Tuminaro, Ray S.; Sala, Marzio 5 2010 Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations. Zbl 1391.76539Elman, Howard C.; Tuminaro, Ray S. 22 2009 Auxiliary space preconditioners for mixed finite element methods. Zbl 1183.65151Tuminaro, Ray S.; Xu, Jinchao; Zhu, Yunrong 5 2009 A taxonomy and comparison of parallel block multi-level preconditioners for the incompressible Navier-Stokes equations. Zbl 1290.76023Elman, Howard; Howle, V. E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 60 2008 Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. Zbl 1166.65326Elman, Howard; Howle, Victoria E.; Shadid, John; Silvester, David; Tuminaro, Ray 21 2007 Block preconditioners based on approximate commutators. Zbl 1100.65042Elman, Howard; Howle, Victoria E.; Shadid, John; Shuttleworth, Robert; Tuminaro, Ray 67 2006 Performance of fully coupled algebraic multilevel domain decomposition preconditioners for incompressible flow and transport. Zbl 1110.76315Lin, Paul T.; Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 23 2006 Large-scale stabilized FE computational analysis of nonlinear steady-state transport/reaction systems. Zbl 1178.76240Shadid, 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 1136.65354Heroux, 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. 224 2005 Performance of fully coupled domain decomposition preconditioners for finite element transport/reaction simulations. Zbl 1087.76069Shadid, J. N.; Tuminaro, R. S.; Devine, K. D.; Hennigan, G. L.; Lin, P. T. 24 2005 An improved convergence bound for aggregation-based domain decomposition preconditioners. Zbl 1105.65116Sala, Marzio; Shadid, John N.; Tuminaro, Ray S. 6 2005 Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh refinement hierarchies. Zbl 1164.65519Douglas, C. C.; Hu, J.; Ray, J.; Thorne, D. T.; Tuminaro, R. S. 2 2004 Parallel multigrid smoothing: Polynomial versus Gauss–Seidel. Zbl 1022.65030Adams, Mark; Brezina, Marian; Hu, Jonathan; Tuminaro, Ray 45 2003 A parallel block multi-level preconditioner for the 3D incompressible Navier-Stokes equations. Zbl 1061.76058Elman, Howard C.; Howle, Victoria E.; Shadid, John N.; Tuminaro, Ray S. 17 2003 Grid transfer operators for highly variable coefficient problems in two-level non-overlapping domain decomposition methods. Zbl 1071.65556Giraud, L.; Guevara Vasquez, F.; Tuminaro, R. S. 4 2003 On a multilevel preconditioning module for unstructured mesh Krylov solvers: Two-level Schwarz. Zbl 0999.65101Tuminaro, R. S.; Tong, C. H.; Shadid, J. N.; Devine, K. D.; Day, D. M. 18 2002 Schur complement preconditioners for anisotropic problems. Zbl 0923.65085Giraud, Luc; Tuminaro, Ray S. 3 1999 Parallel sparse matric vector multiply software for matrices with data locality. Zbl 0906.68045Tuminaro, 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 0898.76066Shadid, John N.; Tuminaro, Ray S.; Walker, Homer F. 26 1997 A multigrid preconditioner for the semiconductor equations. Zbl 0845.35122Meza, Juan C.; Tuminaro, Ray S. 9 1996 A comparison of preconditioned nonsymmetric Krylov methods on a large- scale MIMD machine. Zbl 0798.65047Shadid, John N.; Tuminaro, Ray S. 9 1994 A highly parallel multigrid-like method for the solution of the Euler equations. Zbl 0742.76068Tuminaro, Ray S. 4 1992 Design and implementation of parallel multigrid algorithms. Zbl 0652.65076Chan, Tony F.; Tuminaro, Ray S. 1 1988 all cited Publications top 5 cited Publications all top 5 Cited by 1,057 Authors 21 Shadid, John N. 18 Kronbichler, Martin 11 Badia, Santiago 11 Tuminaro, Raymond S. 10 Cyr, Eric C. 10 Heister, Timo 10 Heltai, Luca 10 Wall, Wolfgang A. 9 Lin, Paul T. 9 Pawlowski, Roger P. 9 Pelteret, Jean-Paul 9 Shang, Yueqiang 9 Vuik, Cornelis 8 Bangerth, Wolfgang 8 Carlberg, Kevin T. 8 Maier, Matthias Sebastian 8 Manzoni, Andrea 8 Quarteroni, Alfio M. 8 Turcksin, Bruno 7 Arndt, Daniel 7 Davydov, Denis 7 Phipps, Eric T. 6 Benzi, Michele 6 Coutinho, Alvaro L. G. A. 6 Deparis, Simone 6 Gravemeier, Volker 6 Heinlein, Alexander 6 Klawonn, Axel 6 MacLachlan, Scott P. 6 Martín, Alberto F. 5 Cai, Xiao-Chuan 5 Elman, Howard C. 5 Ferronato, Massimiliano 5 Hesthaven, Jan S. 5 Hu, Xiaozhe 5 Kirby, Robert C. 5 Knoll, Dana A. 5 Notay, Yvan 5 Phillips, Edward G. 5 Rivière, Beatrice M. 5 Roberts, Nathan V. 5 Tuminaro, Ray S. 5 Verdugo, Francesc 5 Wheeler, Mary Fanett 5 Wick, Thomas 4 Adler, James H. 4 Arbenz, Peter 4 Barbieri, Luca 4 Brunton, Steven L. 4 Castelletto, Nicola 4 Dal Santo, Niccolò 4 Evans, Thomas M. 4 Fehling, Marc 4 Gee, Michael W. 4 Hennigan, Gary L. 4 Howle, Victoria E. 4 Hu, Jonathan J. 4 Karasözen, Bülent 4 Keyes, David Elliot 4 Malgesini, Roberto 4 Mitchell, Lawrence 4 Munch, Peter 4 Olshanskii, Maxim A. 4 Rheinbach, Oliver 4 Siefert, Christopher M. 4 Steinmann, Paul 4 Thiele, Christopher 4 Uzunca, Murat 4 Villa, Andrea 4 White, Joshua A. 3 Afkham, Babak Maboudi 3 Aulisa, Eugenio 3 Ballard, Grey M. 3 Barone, Matthew F. 3 Bochev, Pavel B. 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 Farrell, Patrick Emmet 3 Filippone, Salvatore 3 Franceschini, Andrea 3 Garikipati, Krishna 3 Gassmöller, Rene 3 Gondola, Marco 3 Grandperrin, Gwenol 3 Grave, Malú 3 Hamilton, Steven P. 3 Hazel, Andrew L. 3 Hwang, Fengnan 3 John, Volker 3 Jolivet, Pierre 3 Ke, Guoyi 3 Klaij, Christiaan M. 3 Lee, Sanghyun ...and 957 more Authors all top 5 Cited in 81 Serials 89 Journal of Computational Physics 74 Computer Methods in Applied Mechanics and Engineering 62 SIAM Journal on Scientific Computing 20 Computers & Mathematics with Applications 16 Computers and Fluids 12 Applied Mathematics and Computation 12 International Journal for Numerical Methods in Engineering 11 Computational Mechanics 10 International Journal for Numerical Methods in Fluids 10 Journal of Computational and Applied Mathematics 10 Applied Numerical Mathematics 8 Journal of Scientific Computing 8 Numerical Linear Algebra with Applications 8 Journal of Numerical Mathematics 7 Journal of Fluid Mechanics 7 Numerische Mathematik 7 Computational Geosciences 6 BIT 6 Archives of Computational Methods in Engineering 6 Communications in Computational Physics 5 Computer Physics Communications 4 ACM Transactions on Mathematical Software 4 Numerical Algorithms 3 Mathematics of Computation 3 Bulletin of Mathematical Biology 3 SIAM Journal on Matrix Analysis and Applications 3 Advances in Computational Mathematics 3 Computing and Visualization in Science 2 Journal of Engineering Mathematics 2 Theoretical and Computational Fluid Dynamics 2 Computing 2 Mathematics and Computers in Simulation 2 SIAM Journal on Numerical Analysis 2 International Journal of Computer Mathematics 2 International Journal of Numerical Methods for Heat & Fluid Flow 2 Mathematical Problems in Engineering 2 International Journal of Computational Fluid Dynamics 2 Engineering Computations 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 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 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 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 ETNA. Electronic Transactions on Numerical Analysis 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 European Journal of Mechanics. A. Solids 1 International Journal of Applied Mathematics and Computer Science 1 Combustion Theory and Modelling 1 Journal of Turbulence 1 Journal of Applied Mathematics 1 Acta Numerica 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 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 East Asian Journal on Applied Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 33 Fields 385 Numerical analysis (65-XX) 238 Fluid mechanics (76-XX) 94 Partial differential equations (35-XX) 75 Mechanics of deformable solids (74-XX) 26 Biology and other natural sciences (92-XX) 23 Optics, electromagnetic theory (78-XX) 18 Dynamical systems and ergodic theory (37-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Geophysics (86-XX) 12 Computer science (68-XX) 9 Probability theory and stochastic processes (60-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Statistics (62-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 6 Combinatorics (05-XX) 6 Operations research, mathematical programming (90-XX) 4 Integral equations (45-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Astronomy and astrophysics (85-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year