Edit Profile (opens in new tab) Knoll, Dana A. Compute Distance To: Compute Author ID: knoll.dana-a Published as: Knoll, D. A.; Knoll, Dana A.; Knoll, Dana Documents Indexed: 63 Publications since 1993 1 Contribution as Editor Co-Authors: 67 Co-Authors with 63 Joint Publications 1,506 Co-Co-Authors all top 5 Co-Authors 1 single-authored 14 Chacón, Luis 12 Mousseau, Vincent A. 11 McHugh, Paul R. 10 Park, Hyeongkae 6 Rider, William J. 6 Taitano, William T. 5 Kadioglu, Samet Y. 5 Rauenzahn, Rick M. 4 Evans, Katherine J. 4 Keyes, David Elliot 4 Lowrie, Robert B. 4 Newman, Christopher K. 4 Wollaber, Allan B. 3 Barnes, Daniel C. 3 Chen, Guangye 3 Densmore, Jeffery D. 3 Miley, George H. 3 Reisner, Jon M. 3 Willert, Jeffrey 2 Finn, John M. 2 Kelley, Carl T. 2 Lemieux, Jean-François 2 Martineau, Richard C. 2 Morel, Jim E. 2 Pernice, Michael 2 Prinja, Anil K. 2 Womeldorff, Geoffrey 1 Bates, Jason W. 1 Benzi, Michele 1 Brackbill, Jeremiah U. 1 Cai, Xiao-Chuan 1 Campbell, R. B. 1 de Oliveira, Cassiano R. E. 1 Duff, Iain S. 1 Edwards, Jarrod D. 1 Elman, Howard C. 1 Girard, Claude 1 Holland, David M. 1 Jacobs, P. G. 1 Jordan, Kirk E. 1 Kelley, Tim 1 Kilmer, Misha E. 1 Kothe, Douglas B. 1 Lapenta, Giovanni 1 Leibs, Christopher A. 1 Leyffer, Sven 1 Livshits, Irene 1 Losch, Martin 1 Manteuffel, Thomas A. 1 Margolin, Len G. 1 McCormick, Steve Fahrney 1 Nourgaliev, Robert R. 1 Olson, Gordon L. 1 Olson, Luke N. 1 Payne, Antony J. 1 Price, Stephen F. 1 Salinger, Andrew G. 1 Shadid, John N. 1 Silvester, David J. 1 Sussman, Mark 1 Tuminaro, Ray S. 1 Vanderheyden, W. Brian 1 Walker, Homer F. 1 Willert, J. A. 1 Woodward, Carol S. 1 Wyszogrodzki, Andrzej A. 1 Yavneh, Irad all top 5 Serials 34 Journal of Computational Physics 8 SIAM Journal on Scientific Computing 4 Journal of Computational and Theoretical Transport 3 AIAA Journal 3 International Journal for Numerical Methods in Fluids 2 Computer Physics Communications 1 Physics Letters. A 1 Transport Theory and Statistical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Journal of Scientific Computing 1 Communications in Computational Physics 1 Applied Mathematical and Computational Sciences all top 5 Fields 40 Fluid mechanics (76-XX) 34 Numerical analysis (65-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Partial differential equations (35-XX) 6 Geophysics (86-XX) 4 Integral equations (45-XX) 3 Optics, electromagnetic theory (78-XX) 3 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 1,011 times in 632 Documents Cited by ▼ Year ▼ Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045Knoll, D. A.; Keyes, D. E. 396 2004 Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion. Zbl 0949.65092Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 51 2000 An implicit, nonlinear reduced resistive MHD solver. Zbl 1139.76328Chacón, L.; Knoll, D. A.; Finn, J. M. 38 2002 On balanced approximations for time integration of multiple time scale systems. Zbl 1047.76074Knoll, D. A.; Chacon, L.; Margolin, L. G.; Mousseau, V. A. 36 2003 A multigrid preconditioned Newton-Krylov method. Zbl 0952.65102Knoll, D. A.; Rider, W. J. 32 1999 A 2D high-\(\beta\) hall MHD implicit nonlinear solver. Zbl 1127.76375Chacón, L.; Knoll, D. A. 31 2003 A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion. Zbl 0944.85002Rider, William J.; Knoll, Dana A.; Olson, Gordon L. 25 1999 An implicit energy-conservative 2D Fokker-Planck algorithm. II: Jacobian-free Newton-Krylov solver. Zbl 0961.76058Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 20 2000 An implicit energy-conservative 2D Fokker-Planck algorithm. I: Difference scheme. Zbl 0961.76057Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 19 2000 Enhanced nonlinear iterative techniques applied to a nonequilibrium plasma flow. Zbl 0913.76067Knoll, D. A.; McHugh, P. R. 19 1998 A consistent, moment-based, multiscale solution approach for thermal radiative transfer problems. Zbl 1278.82051Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Wollaber, A. B.; Densmore, J. D. 16 2012 Development of a consistent and stable fully implicit moment method for Vlasov-Ampère particle in cell (PIC) system. Zbl 1282.82038Taitano, William T.; Knoll, Dana A.; Chacón, Luis; Chen, Guangye 16 2013 A second order self-consistent IMEX method for radiation hydrodynamics. Zbl 1381.76262Kadioglu, Samet Y.; Knoll, Dana A.; Lowrie, Robert B.; Rauenzahn, Rick M. 16 2010 New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion. Zbl 1027.65129Mousseau, V. A.; Knoll, D. A. 16 2003 Numerical analysis of time integration errors for nonequilibrium radiation diffusion. Zbl 1126.78007Knoll, D. A.; Lowrie, R. B.; Morel, J. E. 15 2007 On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations. Zbl 0994.76055Knoll, D. A.; Mousseau, V. A. 14 2000 Comparison of standard and matrix-free implementations of several Newton- Krylov solvers. Zbl 0832.76071McHugh, Paul R.; Knoll, Dana A. 14 1994 On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: Low-energy-density regime. Zbl 1052.76041Bates, J. W.; Knoll, D. A.; Rider, W. J.; Lowrie, R. B.; Mousseau, V. A. 14 2001 A multilevel iterative field solver for implicit, kinetic, plasma simulation. Zbl 0934.76048Knoll, D. A.; Lapenta, G.; Brackbill, J. U. 13 1999 Time step size selection for radiation diffusion calculations. Zbl 0940.65101Rider, William J.; Knoll, Dana A. 13 1999 An efficient and time accurate, moment-based scale-bridging algorithm for thermal radiative transfer problems. Zbl 1285.65092Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Newman, C. K.; Densmore, J. D.; Wollaber, A. B. 12 2013 A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems. Zbl 1307.76056Kadioglu, Samet Y.; Knoll, Dana A. 12 2010 Multiscale high-order/low-order (HOLO) algorithms and applications. Zbl 1380.65316Chacón, L.; Chen, G.; Knoll, D. A.; Newman, C.; Park, H.; Taitano, W.; Willert, J. A.; Womeldorff, G. 11 2017 Jacobian-free Newton-Krylov methods for the accurate time integration of stiff wave systems. Zbl 1203.65071Knoll, D. A.; Mousseau, V. A.; Chacón, L.; Reisner, J. 11 2005 An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows. Zbl 1097.76543Reisner, Jon; Wyszogrodzki, Andrzej; Mousseau, Vincent; Knoll, Dana 10 2003 Fully implicit kinetic solution of collisional plasmas. Zbl 0896.76057Mousseau, V. A.; Knoll, D. A. 10 1997 Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations. Zbl 1349.78091Chen, G.; Chacón, L.; Leibs, C. A.; Knoll, D. A.; Taitano, W. 10 2014 Development of a 2-D algorithm to simulate convection and phase transition efficiently. Zbl 1102.76037Evans, Katherine J.; Knoll, D. A.; Pernice, Michael 8 2006 Leveraging Anderson acceleration for improved convergence of iterative solutions to transport systems. Zbl 1351.82093Willert, Jeffrey; Taitano, William T.; Knoll, Dana 8 2014 Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion. Zbl 1218.80019Edwards, Jarrod D.; Morel, Jim E.; Knoll, Dana A. 8 2011 Fully coupled finite volume solutions of the incompressible Navier-Stokes and energy equations using an inexact Newton method. Zbl 0814.76071McHugh, Paul R.; Knoll, Dana A. 8 1994 On physics-based preconditioning of the Navier-Stokes equations. Zbl 1395.65028Park, Hyeongkae; Nourgaliev, Robert R.; Martineau, Richard C.; Knoll, Dana A. 7 2009 An improved convection scheme applied to recombining divertor plasma flows. Zbl 0932.76044Knoll, D. A. 7 1998 Newton-Krylov methods for low-Mach-number compressible combustion. Zbl 0900.76406Knoll, D. A.; McHugh, P. R.; Keyes, D. E. 7 1996 A second-order accurate in time implicit-explicit (IMEX) integration scheme for sea ice dynamics. Zbl 1349.86006Lemieux, Jean-François; Knoll, Dana A.; Losch, Martin; Girard, Claude 6 2014 Temporal accuracy analysis of phase change convection simulations using the JFNK-SIMPLE algorithm. Zbl 1388.76246Evans, Katherine J.; Knoll, Dana A. 5 2007 Monte Carlo simulation methods in moment-based scale-bridging algorithms for thermal radiative-transfer problems. Zbl 1351.80007Densmore, J. D.; Park, H.; Wollaber, A. B.; Rauenzahn, R. M.; Knoll, D. A. 5 2015 A Jacobian-free Newton Krylov implicit-explicit time integration method for incompressible flow problems. Zbl 1373.76174Kadioglu, Samet Y.; Knoll, Dana A. 5 2013 On preconditioning Newton-Krylov methods in solidifying flow applications. Zbl 1125.65315Knoll, D. A.; VanderHeyden, W. B.; Mousseau, V. A.; Kothe, D. B. 5 2001 Hybrid deterministic/Monte Carlo neutronics. Zbl 1286.65187Willert, Jeffrey; Kelley, C. T.; Knoll, D. A.; Park, H. 4 2013 Hall MHD effects on the 2D Kelvin-Helmholtz/tearing instability. Zbl 1086.81559Chacón, L.; Knoll, D. A.; Finn, J. M. 4 2003 Newton-Krylov methods applied to a system of convection-diffusion-reaction equations. Zbl 0923.76199Knoll, D. A.; McHugh, P. R. 4 1995 A comparison of acceleration methods for solving the neutron transport \(k\) -eigenvalue problem. Zbl 1351.82125Willert, Jeffrey; Park, H.; Knoll, D. A. 4 2014 An inexact Newton algorithm for solving the tokamak edge plasma fluid equations on a multiply-connected domain. Zbl 0818.76069Knoll, D. A.; McHugh, P. R. 4 1995 Physics-based preconditioners for ocean simulation. Zbl 1406.86005Newman, C.; Knoll, D. A. 3 2013 Newton-Krylov-Schwarz methods applied to the tokamak edge plasma fluid equations. Zbl 0842.76061Knoll, D. A.; McHugh, P. R.; Mousseau, V. A. 3 1995 Application of Newton-Krylov-Schwarz algorithm to low-Mach-number compressible combustion. Zbl 0900.76422McHugh, P. R.; Knoll, D. A.; Keyes, D. E. 3 1998 Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system. II: Collisional aspects. Zbl 1351.76125Taitano, William T.; Knoll, Dana A.; Chacón, Luis 3 2015 A multigrid Newton-Krylov solver for nonlinear systems. Zbl 0973.65041Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 3 2000 Enhanced algorithm efficiency for phase change convection using a multigrid preconditioner with a SIMPLE smoother. Zbl 1128.76041Evans, Katherine J.; Knoll, D. A.; Pernice, Michael 2 2007 A direct Newton solver for the two-dimensional Tokamak edge plasma fluid equations. Zbl 0800.76339Knoll, D. A.; Prinja, A. K.; Campbell, R. B. 2 1993 A fully implicit direct Newton’s method for the steady-state Navier- Stokes equations. Zbl 0784.76068Knoll, Dana A.; McHugh, Paul R. 1 1993 A communication-avoiding implicit-explicit method for a free-surface ocean model. Zbl 1349.86010Newman, Christopher; Womeldorff, Geoffrey; Knoll, Dana A.; Chacón, Luis 1 2016 A bounce-averaged ion Fokker-Planck code for Penning fusion devices. Zbl 1056.76061Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 1 2001 Multiscale high-order/low-order (HOLO) algorithms and applications. Zbl 1380.65316Chacón, L.; Chen, G.; Knoll, D. A.; Newman, C.; Park, H.; Taitano, W.; Willert, J. A.; Womeldorff, G. 11 2017 A communication-avoiding implicit-explicit method for a free-surface ocean model. Zbl 1349.86010Newman, Christopher; Womeldorff, Geoffrey; Knoll, Dana A.; Chacón, Luis 1 2016 Monte Carlo simulation methods in moment-based scale-bridging algorithms for thermal radiative-transfer problems. Zbl 1351.80007Densmore, J. D.; Park, H.; Wollaber, A. B.; Rauenzahn, R. M.; Knoll, D. A. 5 2015 Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system. II: Collisional aspects. Zbl 1351.76125Taitano, William T.; Knoll, Dana A.; Chacón, Luis 3 2015 Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations. Zbl 1349.78091Chen, G.; Chacón, L.; Leibs, C. A.; Knoll, D. A.; Taitano, W. 10 2014 Leveraging Anderson acceleration for improved convergence of iterative solutions to transport systems. Zbl 1351.82093Willert, Jeffrey; Taitano, William T.; Knoll, Dana 8 2014 A second-order accurate in time implicit-explicit (IMEX) integration scheme for sea ice dynamics. Zbl 1349.86006Lemieux, Jean-François; Knoll, Dana A.; Losch, Martin; Girard, Claude 6 2014 A comparison of acceleration methods for solving the neutron transport \(k\) -eigenvalue problem. Zbl 1351.82125Willert, Jeffrey; Park, H.; Knoll, D. A. 4 2014 Development of a consistent and stable fully implicit moment method for Vlasov-Ampère particle in cell (PIC) system. Zbl 1282.82038Taitano, William T.; Knoll, Dana A.; Chacón, Luis; Chen, Guangye 16 2013 An efficient and time accurate, moment-based scale-bridging algorithm for thermal radiative transfer problems. Zbl 1285.65092Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Newman, C. K.; Densmore, J. D.; Wollaber, A. B. 12 2013 A Jacobian-free Newton Krylov implicit-explicit time integration method for incompressible flow problems. Zbl 1373.76174Kadioglu, Samet Y.; Knoll, Dana A. 5 2013 Hybrid deterministic/Monte Carlo neutronics. Zbl 1286.65187Willert, Jeffrey; Kelley, C. T.; Knoll, D. A.; Park, H. 4 2013 Physics-based preconditioners for ocean simulation. Zbl 1406.86005Newman, C.; Knoll, D. A. 3 2013 A consistent, moment-based, multiscale solution approach for thermal radiative transfer problems. Zbl 1278.82051Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Wollaber, A. B.; Densmore, J. D. 16 2012 Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion. Zbl 1218.80019Edwards, Jarrod D.; Morel, Jim E.; Knoll, Dana A. 8 2011 A second order self-consistent IMEX method for radiation hydrodynamics. Zbl 1381.76262Kadioglu, Samet Y.; Knoll, Dana A.; Lowrie, Robert B.; Rauenzahn, Rick M. 16 2010 A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems. Zbl 1307.76056Kadioglu, Samet Y.; Knoll, Dana A. 12 2010 On physics-based preconditioning of the Navier-Stokes equations. Zbl 1395.65028Park, Hyeongkae; Nourgaliev, Robert R.; Martineau, Richard C.; Knoll, Dana A. 7 2009 Numerical analysis of time integration errors for nonequilibrium radiation diffusion. Zbl 1126.78007Knoll, D. A.; Lowrie, R. B.; Morel, J. E. 15 2007 Temporal accuracy analysis of phase change convection simulations using the JFNK-SIMPLE algorithm. Zbl 1388.76246Evans, Katherine J.; Knoll, Dana A. 5 2007 Enhanced algorithm efficiency for phase change convection using a multigrid preconditioner with a SIMPLE smoother. Zbl 1128.76041Evans, Katherine J.; Knoll, D. A.; Pernice, Michael 2 2007 Development of a 2-D algorithm to simulate convection and phase transition efficiently. Zbl 1102.76037Evans, Katherine J.; Knoll, D. A.; Pernice, Michael 8 2006 Jacobian-free Newton-Krylov methods for the accurate time integration of stiff wave systems. Zbl 1203.65071Knoll, D. A.; Mousseau, V. A.; Chacón, L.; Reisner, J. 11 2005 Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045Knoll, D. A.; Keyes, D. E. 396 2004 On balanced approximations for time integration of multiple time scale systems. Zbl 1047.76074Knoll, D. A.; Chacon, L.; Margolin, L. G.; Mousseau, V. A. 36 2003 A 2D high-\(\beta\) hall MHD implicit nonlinear solver. Zbl 1127.76375Chacón, L.; Knoll, D. A. 31 2003 New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion. Zbl 1027.65129Mousseau, V. A.; Knoll, D. A. 16 2003 An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows. Zbl 1097.76543Reisner, Jon; Wyszogrodzki, Andrzej; Mousseau, Vincent; Knoll, Dana 10 2003 Hall MHD effects on the 2D Kelvin-Helmholtz/tearing instability. Zbl 1086.81559Chacón, L.; Knoll, D. A.; Finn, J. M. 4 2003 An implicit, nonlinear reduced resistive MHD solver. Zbl 1139.76328Chacón, L.; Knoll, D. A.; Finn, J. M. 38 2002 On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: Low-energy-density regime. Zbl 1052.76041Bates, J. W.; Knoll, D. A.; Rider, W. J.; Lowrie, R. B.; Mousseau, V. A. 14 2001 On preconditioning Newton-Krylov methods in solidifying flow applications. Zbl 1125.65315Knoll, D. A.; VanderHeyden, W. B.; Mousseau, V. A.; Kothe, D. B. 5 2001 A bounce-averaged ion Fokker-Planck code for Penning fusion devices. Zbl 1056.76061Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 1 2001 Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion. Zbl 0949.65092Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 51 2000 An implicit energy-conservative 2D Fokker-Planck algorithm. II: Jacobian-free Newton-Krylov solver. Zbl 0961.76058Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 20 2000 An implicit energy-conservative 2D Fokker-Planck algorithm. I: Difference scheme. Zbl 0961.76057Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 19 2000 On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations. Zbl 0994.76055Knoll, D. A.; Mousseau, V. A. 14 2000 A multigrid Newton-Krylov solver for nonlinear systems. Zbl 0973.65041Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 3 2000 A multigrid preconditioned Newton-Krylov method. Zbl 0952.65102Knoll, D. A.; Rider, W. J. 32 1999 A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion. Zbl 0944.85002Rider, William J.; Knoll, Dana A.; Olson, Gordon L. 25 1999 A multilevel iterative field solver for implicit, kinetic, plasma simulation. Zbl 0934.76048Knoll, D. A.; Lapenta, G.; Brackbill, J. U. 13 1999 Time step size selection for radiation diffusion calculations. Zbl 0940.65101Rider, William J.; Knoll, Dana A. 13 1999 Enhanced nonlinear iterative techniques applied to a nonequilibrium plasma flow. Zbl 0913.76067Knoll, D. A.; McHugh, P. R. 19 1998 An improved convection scheme applied to recombining divertor plasma flows. Zbl 0932.76044Knoll, D. A. 7 1998 Application of Newton-Krylov-Schwarz algorithm to low-Mach-number compressible combustion. Zbl 0900.76422McHugh, P. R.; Knoll, D. A.; Keyes, D. E. 3 1998 Fully implicit kinetic solution of collisional plasmas. Zbl 0896.76057Mousseau, V. A.; Knoll, D. A. 10 1997 Newton-Krylov methods for low-Mach-number compressible combustion. Zbl 0900.76406Knoll, D. A.; McHugh, P. R.; Keyes, D. E. 7 1996 Newton-Krylov methods applied to a system of convection-diffusion-reaction equations. Zbl 0923.76199Knoll, D. A.; McHugh, P. R. 4 1995 An inexact Newton algorithm for solving the tokamak edge plasma fluid equations on a multiply-connected domain. Zbl 0818.76069Knoll, D. A.; McHugh, P. R. 4 1995 Newton-Krylov-Schwarz methods applied to the tokamak edge plasma fluid equations. Zbl 0842.76061Knoll, D. A.; McHugh, P. R.; Mousseau, V. A. 3 1995 Comparison of standard and matrix-free implementations of several Newton- Krylov solvers. Zbl 0832.76071McHugh, Paul R.; Knoll, Dana A. 14 1994 Fully coupled finite volume solutions of the incompressible Navier-Stokes and energy equations using an inexact Newton method. Zbl 0814.76071McHugh, Paul R.; Knoll, Dana A. 8 1994 A direct Newton solver for the two-dimensional Tokamak edge plasma fluid equations. Zbl 0800.76339Knoll, D. A.; Prinja, A. K.; Campbell, R. B. 2 1993 A fully implicit direct Newton’s method for the steady-state Navier- Stokes equations. Zbl 0784.76068Knoll, Dana A.; McHugh, Paul R. 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 1,201 Authors 40 Knoll, Dana A. 30 Chacón, Luis 20 Shadid, John N. 15 Keyes, David Elliot 13 Cai, Xiao-Chuan 11 Park, Hyeongkae 10 An, Hengbin 10 Yang, Haijian 9 Mousseau, Vincent A. 9 Pawlowski, Roger P. 8 Lapenta, Giovanni 8 Morel, Jim E. 8 Moroney, Timothy J. 8 Taitano, William T. 8 Wu, Qingbiao 7 Chen, Guangye 7 Cyr, Eric C. 7 Kadioglu, Samet Y. 7 Kelley, Carl T. 7 Lin, Paul T. 6 Chen, Minhong 6 González-Pinto, Severiano 6 Huang, Jingfang 6 Liu, Lulu 6 Lowrie, Robert B. 6 Pérez Rodríguez, S. 6 Schmid, Peter Joseph 6 Yang, Chao 6 Yuan, Guangwei 5 Cheng, Yingda 5 Cui, Xia 5 Hwang, Fengnan 5 Jardin, Stephen C. 5 Lemieux, Jean-François 5 Mavriplis, Dimitri J. 5 Rider, William J. 5 Salamatova, Victoria Yu. 5 Turner, Ian William 5 Wollaber, Allan B. 5 Woodward, Carol S. 5 Xu, Xiaowen 5 Zingg, David W. 4 Barnes, Daniel C. 4 Birken, Philipp 4 Christlieb, Andrew J. 4 Crivellini, Andrea 4 Delzanno, Gian Luca 4 Hennigan, Gary L. 4 Le, Duc-Vinh 4 Luo, Li 4 Martineau, Richard C. 4 Mo, Zeyao 4 Nourgaliev, Robert R. 4 Olson, Gordon L. 4 Philip, Bobby 4 Qu, Wenzhen 4 Rauenzahn, Rick M. 4 Reisner, Jon M. 4 Sipp, Denis 4 Smolarkiewicz, Piotr K. 4 Sun, Shuyu 4 Tuminaro, Ray S. 4 Tuminaro, Raymond S. 3 Anistratov, Dmitriy Y. 3 Berrill, Mark A. 3 Bijl, Hester 3 Brackbill, Jeremiah U. 3 Brown, David A. 3 Bu, Sunyoung 3 Bujurke, Nagendrappa M. 3 Cordero, Alicia 3 De, Suvranu 3 Densmore, Jeffery D. 3 Elman, Howard C. 3 Evans, Katherine J. 3 Evans, Thomas M. 3 Feng, Tao 3 Finn, John M. 3 Franck, Emmanuel 3 Gassner, Gregor J. 3 Gu, Yan 3 Hamilton, Steven P. 3 Hauck, Cory D. 3 Hernandez-Abreu, Domingo 3 Lin, Rongfei 3 Ma, Dongjun 3 Mack, Christoph J. 3 Manzini, Gianmarco 3 Markidis, Stefano 3 McCue, Scott William 3 Miley, George H. 3 Mohammad, Hassan 3 Munz, Claus-Dieter 3 Newman, Christopher K. 3 Pernice, Michael 3 Ragusa, Jean C. 3 Sandu, Adrian 3 Sanmiguel-Rojas, Enrique 3 Stanier, A. 3 Sun, De-Jun ...and 1,101 more Authors all top 5 Cited in 91 Serials 268 Journal of Computational Physics 35 Computers and Fluids 28 Computer Methods in Applied Mechanics and Engineering 23 Journal of Computational and Applied Mathematics 22 SIAM Journal on Scientific Computing 17 Journal of Scientific Computing 14 Computers & Mathematics with Applications 12 Computational Mechanics 11 Applied Numerical Mathematics 10 Applied Mathematics and Computation 10 Communications in Computational Physics 9 Computer Physics Communications 8 Journal of Fluid Mechanics 8 International Journal for Numerical Methods in Engineering 8 Journal of Computational and Theoretical Transport 6 BIT 6 Computational Geosciences 5 International Journal for Numerical Methods in Fluids 5 Applied Mathematical Modelling 4 Numerical Algorithms 4 Computational and Applied Mathematics 4 Advances in Computational Mathematics 4 Differential Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Advances in Applied Mathematics and Mechanics 3 Mathematics and Computers in Simulation 3 Applied Mathematics Letters 3 SIAM Review 3 Numerical Linear Algebra with Applications 3 Optimization Methods & Software 3 Combustion Theory and Modelling 3 Matematicheskoe Modelirovanie 3 Archives of Computational Methods in Engineering 3 International Journal of Computational Methods 2 Modern Physics Letters B 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Numerical Analysis 2 Numerical Methods for Partial Differential Equations 2 International Journal of Computer Mathematics 2 Physics of Fluids 2 Communications in Nonlinear Science and Numerical Simulation 2 Optimization and Engineering 2 Journal of Mathematics 1 Acta Mechanica 1 Classical and Quantum Gravity 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Transport Theory and Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Journal of Multivariate Analysis 1 Numerische Mathematik 1 American Journal of Mathematical and Management Sciences 1 Physica D 1 Mathematical and Computer Modelling 1 SIAM Journal on Matrix Analysis and Applications 1 Computational Mathematics and Modeling 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Statistics 1 Journal of Non-Newtonian Fluid Mechanics 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 International Journal of Computational Fluid Dynamics 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Chaos 1 Philosophical Transactions of the Royal Society of London. Series A. 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Mathematical, Physical and Engineering Sciences 1 Communications on Applied Mathematics and Computation all top 5 Cited in 31 Fields 421 Numerical analysis (65-XX) 323 Fluid mechanics (76-XX) 136 Partial differential equations (35-XX) 81 Statistical mechanics, structure of matter (82-XX) 58 Mechanics of deformable solids (74-XX) 40 Classical thermodynamics, heat transfer (80-XX) 26 Geophysics (86-XX) 21 Optics, electromagnetic theory (78-XX) 19 Operations research, mathematical programming (90-XX) 13 Astronomy and astrophysics (85-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Ordinary differential equations (34-XX) 11 Biology and other natural sciences (92-XX) 9 Integral equations (45-XX) 8 Computer science (68-XX) 7 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Relativity and gravitational theory (83-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Systems theory; control (93-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year