Edit Profile (opens in new tab) Knoll, Dana A. Co-Author Distance Author ID: knoll.dana-a Published as: Knoll, D. A.; Knoll, Dana A.; Knoll, Dana more...less Documents Indexed: 63 Publications since 1993 1 Contribution as Editor Co-Authors: 67 Co-Authors with 63 Joint Publications 1,665 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 Elena 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 59 Publications have been cited 1,199 times in 766 Documents Cited by ▼ Year ▼ Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045 Knoll, D. A.; Keyes, D. E. 470 2004 Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion. Zbl 0949.65092 Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 58 2000 An implicit, nonlinear reduced resistive MHD solver. Zbl 1139.76328 Chacón, L.; Knoll, D. A.; Finn, J. M. 42 2002 On balanced approximations for time integration of multiple time scale systems. Zbl 1047.76074 Knoll, D. A.; Chacon, L.; Margolin, L. G.; Mousseau, V. A. 37 2003 A 2D high-\(\beta\) hall MHD implicit nonlinear solver. Zbl 1127.76375 Chacón, L.; Knoll, D. A. 35 2003 A multigrid preconditioned Newton-Krylov method. Zbl 0952.65102 Knoll, D. A.; Rider, W. J. 33 1999 A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion. Zbl 0944.85002 Rider, William J.; Knoll, Dana A.; Olson, Gordon L. 31 1999 An implicit energy-conservative 2D Fokker-Planck algorithm. I: Difference scheme. Zbl 0961.76057 Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 24 2000 A consistent, moment-based, multiscale solution approach for thermal radiative transfer problems. Zbl 1278.82051 Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Wollaber, A. B.; Densmore, J. D. 24 2012 An implicit energy-conservative 2D Fokker-Planck algorithm. II: Jacobian-free Newton-Krylov solver. Zbl 0961.76058 Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 22 2000 Development of a consistent and stable fully implicit moment method for Vlasov-Ampère particle in cell (PIC) system. Zbl 1282.82038 Taitano, William T.; Knoll, Dana A.; Chacón, Luis; Chen, Guangye 21 2013 New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion. Zbl 1027.65129 Mousseau, V. A.; Knoll, D. A. 20 2003 Multiscale high-order/low-order (HOLO) algorithms and applications. Zbl 1380.65316 Chacón, L.; Chen, G.; Knoll, D. A.; Newman, C.; Park, H.; Taitano, W.; Willert, J. A.; Womeldorff, G. 19 2017 Enhanced nonlinear iterative techniques applied to a nonequilibrium plasma flow. Zbl 0913.76067 Knoll, D. A.; McHugh, P. R. 19 1998 Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations. Zbl 1349.78091 Chen, G.; Chacón, L.; Leibs, C. A.; Knoll, D. A.; Taitano, W. 18 2014 An efficient and time accurate, moment-based scale-bridging algorithm for thermal radiative transfer problems. Zbl 1285.65092 Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Newman, C. K.; Densmore, J. D.; Wollaber, A. B. 16 2013 Numerical analysis of time integration errors for nonequilibrium radiation diffusion. Zbl 1126.78007 Knoll, D. A.; Lowrie, R. B.; Morel, J. E. 16 2007 A second order self-consistent IMEX method for radiation hydrodynamics. Zbl 1381.76262 Kadioglu, Samet Y.; Knoll, Dana A.; Lowrie, Robert B.; Rauenzahn, Rick M. 16 2010 On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: Low-energy-density regime. Zbl 1052.76041 Bates, J. W.; Knoll, D. A.; Rider, W. J.; Lowrie, R. B.; Mousseau, V. A. 15 2001 On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations. Zbl 0994.76055 Knoll, D. A.; Mousseau, V. A. 14 2000 Comparison of standard and matrix-free implementations of several Newton- Krylov solvers. Zbl 0832.76071 McHugh, Paul R.; Knoll, Dana A. 14 1994 A fully second order implicit/explicit time integration technique for hydrodynamics plus nonlinear heat conduction problems. Zbl 1307.76056 Kadioglu, Samet Y.; Knoll, Dana A. 14 2010 A multilevel iterative field solver for implicit, kinetic, plasma simulation. Zbl 0934.76048 Knoll, D. A.; Lapenta, G.; Brackbill, J. U. 13 1999 Time step size selection for radiation diffusion calculations. Zbl 0940.65101 Rider, William J.; Knoll, Dana A. 13 1999 Jacobian-free Newton-Krylov methods for the accurate time integration of stiff wave systems. Zbl 1203.65071 Knoll, D. A.; Mousseau, V. A.; Chacón, L.; Reisner, J. 12 2005 Leveraging Anderson acceleration for improved convergence of iterative solutions to transport systems. Zbl 1351.82093 Willert, Jeffrey; Taitano, William T.; Knoll, Dana 11 2014 Fully implicit kinetic solution of collisional plasmas. Zbl 0896.76057 Mousseau, V. A.; Knoll, D. A. 11 1997 An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows. Zbl 1097.76543 Reisner, Jon; Wyszogrodzki, Andrzej; Mousseau, Vincent; Knoll, Dana 11 2003 Monte Carlo simulation methods in moment-based scale-bridging algorithms for thermal radiative-transfer problems. Zbl 1351.80007 Densmore, J. D.; Park, H.; Wollaber, A. B.; Rauenzahn, R. M.; Knoll, D. A. 10 2015 Development of a 2-D algorithm to simulate convection and phase transition efficiently. Zbl 1102.76037 Evans, Katherine J.; Knoll, D. A.; Pernice, Michael 10 2006 Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion. Zbl 1218.80019 Edwards, Jarrod D.; Morel, Jim E.; Knoll, Dana A. 10 2011 A second-order accurate in time implicit-explicit (IMEX) integration scheme for sea ice dynamics. Zbl 1349.86006 Lemieux, Jean-François; Knoll, Dana A.; Losch, Martin; Girard, Claude 9 2014 Fully coupled finite volume solutions of the incompressible Navier-Stokes and energy equations using an inexact Newton method. Zbl 0814.76071 McHugh, Paul R.; Knoll, Dana A. 8 1994 Newton-Krylov methods for low-Mach-number compressible combustion. Zbl 0900.76406 Knoll, D. A.; McHugh, P. R.; Keyes, D. E. 8 1996 On physics-based preconditioning of the Navier-Stokes equations. Zbl 1395.65028 Park, Hyeongkae; Nourgaliev, Robert R.; Martineau, Richard C.; Knoll, Dana A. 8 2009 Moment-based acceleration for neutral gas kinetics with BGK collision operator. Zbl 07500142 Taitano, William T.; Knoll, Dana A.; Chacón, Luis; Reisner, Jon M.; Prinja, Anil K. 8 2014 An improved convection scheme applied to recombining divertor plasma flows. Zbl 0932.76044 Knoll, D. A. 7 1998 On preconditioning Newton-Krylov methods in solidifying flow applications. Zbl 1125.65315 Knoll, D. A.; VanderHeyden, W. B.; Mousseau, V. A.; Kothe, D. B. 6 2001 Hybrid deterministic/Monte Carlo neutronics. Zbl 1286.65187 Willert, Jeffrey; Kelley, C. T.; Knoll, D. A.; Park, H. 6 2013 A Jacobian-free Newton Krylov implicit-explicit time integration method for incompressible flow problems. Zbl 1373.76174 Kadioglu, Samet Y.; Knoll, Dana A. 5 2013 Hall MHD effects on the 2D Kelvin-Helmholtz/tearing instability. Zbl 1086.81559 Chacón, L.; Knoll, D. A.; Finn, J. M. 5 2003 Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system. II: Collisional aspects. Zbl 1351.76125 Taitano, William T.; Knoll, Dana A.; Chacón, Luis 5 2015 Newton-Krylov methods applied to a system of convection-diffusion-reaction equations. Zbl 0923.76199 Knoll, D. A.; McHugh, P. R. 5 1995 Temporal accuracy analysis of phase change convection simulations using the JFNK-SIMPLE algorithm. Zbl 1388.76246 Evans, Katherine J.; Knoll, Dana A. 5 2007 An inexact Newton algorithm for solving the tokamak edge plasma fluid equations on a multiply-connected domain. Zbl 0818.76069 Knoll, D. A.; McHugh, P. R. 4 1995 A comparison of acceleration methods for solving the neutron transport \(k\) -eigenvalue problem. Zbl 1351.82125 Willert, Jeffrey; Park, H.; Knoll, D. A. 4 2014 A multigrid Newton-Krylov solver for nonlinear systems. Zbl 0973.65041 Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 3 2000 Application of Newton-Krylov-Schwarz algorithm to low-Mach-number compressible combustion. Zbl 0900.76422 McHugh, P. R.; Knoll, D. A.; Keyes, D. E. 3 1998 Newton-Krylov-Schwarz methods applied to the tokamak edge plasma fluid equations. Zbl 0842.76061 Knoll, D. A.; McHugh, P. R.; Mousseau, V. A. 3 1995 Physics-based preconditioners for ocean simulation. Zbl 1406.86005 Newman, C.; Knoll, D. A. 3 2013 Moment-based acceleration of Monte Carlo solution for multifrequency thermal radiative transfer problems. Zbl 07500152 Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Wollaber, A. B.; Lowrie, R. B. 3 2014 A second order JFNK-based IMEX method for single and multi-phase flows. Zbl 1346.76107 Kadioglu, Samet; Knoll, Dana; Sussman, Mark; Martineau, Richard 2 2011 A communication-avoiding implicit-explicit method for a free-surface ocean model. Zbl 1349.86010 Newman, Christopher; Womeldorff, Geoffrey; Knoll, Dana A.; Chacón, Luis 2 2016 A direct Newton solver for the two-dimensional Tokamak edge plasma fluid equations. Zbl 0800.76339 Knoll, D. A.; Prinja, A. K.; Campbell, R. B. 2 1993 Enhanced algorithm efficiency for phase change convection using a multigrid preconditioner with a SIMPLE smoother. Zbl 1128.76041 Evans, Katherine J.; Knoll, D. A.; Pernice, Michael 2 2007 A bounce-averaged ion Fokker-Planck code for Penning fusion devices. Zbl 1056.76061 Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 1 2001 A fully implicit direct Newton’s method for the steady-state Navier- Stokes equations. Zbl 0784.76068 Knoll, Dana A.; McHugh, Paul R. 1 1993 A hybrid deterministic/Monte Carlo method for solving the \(k\)-eigenvalue problem with a comparison to analog Monte Carlo solutions. Zbl 07500140 Willert, J.; Kelley, C. T.; Knoll, D. A.; Park, H. 1 2014 Efficient multiphysics coupling for fast burst reactors in slab geometry. Zbl 07500151 Patel, J. K.; Park, H.; de Oliveira, C. R. E.; Knoll, D. A. 1 2014 Multiscale high-order/low-order (HOLO) algorithms and applications. Zbl 1380.65316 Chacón, L.; Chen, G.; Knoll, D. A.; Newman, C.; Park, H.; Taitano, W.; Willert, J. A.; Womeldorff, G. 19 2017 A communication-avoiding implicit-explicit method for a free-surface ocean model. Zbl 1349.86010 Newman, Christopher; Womeldorff, Geoffrey; Knoll, Dana A.; Chacón, Luis 2 2016 Monte Carlo simulation methods in moment-based scale-bridging algorithms for thermal radiative-transfer problems. Zbl 1351.80007 Densmore, J. D.; Park, H.; Wollaber, A. B.; Rauenzahn, R. M.; Knoll, D. A. 10 2015 Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system. II: Collisional aspects. Zbl 1351.76125 Taitano, William T.; Knoll, Dana A.; Chacón, Luis 5 2015 Fluid preconditioning for Newton-Krylov-based, fully implicit, electrostatic particle-in-cell simulations. Zbl 1349.78091 Chen, G.; Chacón, L.; Leibs, C. A.; Knoll, D. A.; Taitano, W. 18 2014 Leveraging Anderson acceleration for improved convergence of iterative solutions to transport systems. Zbl 1351.82093 Willert, Jeffrey; Taitano, William T.; Knoll, Dana 11 2014 A second-order accurate in time implicit-explicit (IMEX) integration scheme for sea ice dynamics. Zbl 1349.86006 Lemieux, Jean-François; Knoll, Dana A.; Losch, Martin; Girard, Claude 9 2014 Moment-based acceleration for neutral gas kinetics with BGK collision operator. Zbl 07500142 Taitano, William T.; Knoll, Dana A.; Chacón, Luis; Reisner, Jon M.; Prinja, Anil K. 8 2014 A comparison of acceleration methods for solving the neutron transport \(k\) -eigenvalue problem. Zbl 1351.82125 Willert, Jeffrey; Park, H.; Knoll, D. A. 4 2014 Moment-based acceleration of Monte Carlo solution for multifrequency thermal radiative transfer problems. Zbl 07500152 Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Wollaber, A. B.; Lowrie, R. B. 3 2014 A hybrid deterministic/Monte Carlo method for solving the \(k\)-eigenvalue problem with a comparison to analog Monte Carlo solutions. Zbl 07500140 Willert, J.; Kelley, C. T.; Knoll, D. A.; Park, H. 1 2014 Efficient multiphysics coupling for fast burst reactors in slab geometry. Zbl 07500151 Patel, J. K.; Park, H.; de Oliveira, C. R. E.; Knoll, D. A. 1 2014 Development of a consistent and stable fully implicit moment method for Vlasov-Ampère particle in cell (PIC) system. Zbl 1282.82038 Taitano, William T.; Knoll, Dana A.; Chacón, Luis; Chen, Guangye 21 2013 An efficient and time accurate, moment-based scale-bridging algorithm for thermal radiative transfer problems. Zbl 1285.65092 Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Newman, C. K.; Densmore, J. D.; Wollaber, A. B. 16 2013 Hybrid deterministic/Monte Carlo neutronics. Zbl 1286.65187 Willert, Jeffrey; Kelley, C. T.; Knoll, D. A.; Park, H. 6 2013 A Jacobian-free Newton Krylov implicit-explicit time integration method for incompressible flow problems. Zbl 1373.76174 Kadioglu, Samet Y.; Knoll, Dana A. 5 2013 Physics-based preconditioners for ocean simulation. Zbl 1406.86005 Newman, C.; Knoll, D. A. 3 2013 A consistent, moment-based, multiscale solution approach for thermal radiative transfer problems. Zbl 1278.82051 Park, H.; Knoll, D. A.; Rauenzahn, R. M.; Wollaber, A. B.; Densmore, J. D. 24 2012 Nonlinear variants of the TR/BDF2 method for thermal radiative diffusion. Zbl 1218.80019 Edwards, Jarrod D.; Morel, Jim E.; Knoll, Dana A. 10 2011 A second order JFNK-based IMEX method for single and multi-phase flows. Zbl 1346.76107 Kadioglu, Samet; Knoll, Dana; Sussman, Mark; Martineau, Richard 2 2011 A second order self-consistent IMEX method for radiation hydrodynamics. Zbl 1381.76262 Kadioglu, 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 1307.76056 Kadioglu, Samet Y.; Knoll, Dana A. 14 2010 On physics-based preconditioning of the Navier-Stokes equations. Zbl 1395.65028 Park, Hyeongkae; Nourgaliev, Robert R.; Martineau, Richard C.; Knoll, Dana A. 8 2009 Numerical analysis of time integration errors for nonequilibrium radiation diffusion. Zbl 1126.78007 Knoll, D. A.; Lowrie, R. B.; Morel, J. E. 16 2007 Temporal accuracy analysis of phase change convection simulations using the JFNK-SIMPLE algorithm. Zbl 1388.76246 Evans, Katherine J.; Knoll, Dana A. 5 2007 Enhanced algorithm efficiency for phase change convection using a multigrid preconditioner with a SIMPLE smoother. Zbl 1128.76041 Evans, Katherine J.; Knoll, D. A.; Pernice, Michael 2 2007 Development of a 2-D algorithm to simulate convection and phase transition efficiently. Zbl 1102.76037 Evans, Katherine J.; Knoll, D. A.; Pernice, Michael 10 2006 Jacobian-free Newton-Krylov methods for the accurate time integration of stiff wave systems. Zbl 1203.65071 Knoll, D. A.; Mousseau, V. A.; Chacón, L.; Reisner, J. 12 2005 Jacobian-free Newton-Krylov methods: a survey of approaches and applications. Zbl 1036.65045 Knoll, D. A.; Keyes, D. E. 470 2004 On balanced approximations for time integration of multiple time scale systems. Zbl 1047.76074 Knoll, D. A.; Chacon, L.; Margolin, L. G.; Mousseau, V. A. 37 2003 A 2D high-\(\beta\) hall MHD implicit nonlinear solver. Zbl 1127.76375 Chacón, L.; Knoll, D. A. 35 2003 New physics-based preconditioning of implicit methods for non-equilibrium radiation diffusion. Zbl 1027.65129 Mousseau, V. A.; Knoll, D. A. 20 2003 An efficient physics-based preconditioner for the fully implicit solution of small-scale thermally driven atmospheric flows. Zbl 1097.76543 Reisner, Jon; Wyszogrodzki, Andrzej; Mousseau, Vincent; Knoll, Dana 11 2003 Hall MHD effects on the 2D Kelvin-Helmholtz/tearing instability. Zbl 1086.81559 Chacón, L.; Knoll, D. A.; Finn, J. M. 5 2003 An implicit, nonlinear reduced resistive MHD solver. Zbl 1139.76328 Chacón, L.; Knoll, D. A.; Finn, J. M. 42 2002 On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: Low-energy-density regime. Zbl 1052.76041 Bates, J. W.; Knoll, D. A.; Rider, W. J.; Lowrie, R. B.; Mousseau, V. A. 15 2001 On preconditioning Newton-Krylov methods in solidifying flow applications. Zbl 1125.65315 Knoll, D. A.; VanderHeyden, W. B.; Mousseau, V. A.; Kothe, D. B. 6 2001 A bounce-averaged ion Fokker-Planck code for Penning fusion devices. Zbl 1056.76061 Chacón, 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 0949.65092 Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 58 2000 An implicit energy-conservative 2D Fokker-Planck algorithm. I: Difference scheme. Zbl 0961.76057 Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 24 2000 An implicit energy-conservative 2D Fokker-Planck algorithm. II: Jacobian-free Newton-Krylov solver. Zbl 0961.76058 Chacón, L.; Barnes, D. C.; Knoll, D. A.; Miley, G. H. 22 2000 On Newton-Krylov multigrid methods for the incompressible Navier-Stokes equations. Zbl 0994.76055 Knoll, D. A.; Mousseau, V. A. 14 2000 A multigrid Newton-Krylov solver for nonlinear systems. Zbl 0973.65041 Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 3 2000 A multigrid preconditioned Newton-Krylov method. Zbl 0952.65102 Knoll, D. A.; Rider, W. J. 33 1999 A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion. Zbl 0944.85002 Rider, William J.; Knoll, Dana A.; Olson, Gordon L. 31 1999 A multilevel iterative field solver for implicit, kinetic, plasma simulation. Zbl 0934.76048 Knoll, D. A.; Lapenta, G.; Brackbill, J. U. 13 1999 Time step size selection for radiation diffusion calculations. Zbl 0940.65101 Rider, William J.; Knoll, Dana A. 13 1999 Enhanced nonlinear iterative techniques applied to a nonequilibrium plasma flow. Zbl 0913.76067 Knoll, D. A.; McHugh, P. R. 19 1998 An improved convection scheme applied to recombining divertor plasma flows. Zbl 0932.76044 Knoll, D. A. 7 1998 Application of Newton-Krylov-Schwarz algorithm to low-Mach-number compressible combustion. Zbl 0900.76422 McHugh, P. R.; Knoll, D. A.; Keyes, D. E. 3 1998 Fully implicit kinetic solution of collisional plasmas. Zbl 0896.76057 Mousseau, V. A.; Knoll, D. A. 11 1997 Newton-Krylov methods for low-Mach-number compressible combustion. Zbl 0900.76406 Knoll, D. A.; McHugh, P. R.; Keyes, D. E. 8 1996 Newton-Krylov methods applied to a system of convection-diffusion-reaction equations. Zbl 0923.76199 Knoll, D. A.; McHugh, P. R. 5 1995 An inexact Newton algorithm for solving the tokamak edge plasma fluid equations on a multiply-connected domain. Zbl 0818.76069 Knoll, D. A.; McHugh, P. R. 4 1995 Newton-Krylov-Schwarz methods applied to the tokamak edge plasma fluid equations. Zbl 0842.76061 Knoll, D. A.; McHugh, P. R.; Mousseau, V. A. 3 1995 Comparison of standard and matrix-free implementations of several Newton- Krylov solvers. Zbl 0832.76071 McHugh, 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 0814.76071 McHugh, Paul R.; Knoll, Dana A. 8 1994 A direct Newton solver for the two-dimensional Tokamak edge plasma fluid equations. Zbl 0800.76339 Knoll, 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 0784.76068 Knoll, Dana A.; McHugh, Paul R. 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 1,460 Authors 40 Knoll, Dana A. 35 Chacón, Luis 22 Shadid, John N. 21 Yang, Haijian 17 Keyes, David Elliot 14 Cai, Xiao-Chuan 14 Yang, Chao 12 An, Hengbin 11 Park, Hyeongkae 11 Pawlowski, Roger P. 11 Taitano, William T. 10 Lapenta, Giovanni 9 Mousseau, Vincent A. 9 Sun, Shuyu 9 Wu, Qingbiao 8 Chen, Guangye 8 Kelley, Carl T. 8 Liu, Lulu 8 Morel, Jim E. 8 Moroney, Timothy J. 7 Cyr, Eric C. 7 Kadioglu, Samet Y. 7 Lin, Paul T. 7 Song, Peng 7 Xu, Xiaowen 7 Yuan, Guangwei 6 Chen, Minhong 6 Cui, Xia 6 González-Pinto, Severiano 6 Huang, Jingfang 6 Hwang, Fengnan 6 Lowrie, Robert B. 6 Mo, Zeyao 6 Pérez Rodríguez, S. 6 Schmid, Peter Joseph 6 Turner, Ian William 5 Barnes, Daniel C. 5 Cheng, Yingda 5 Jardin, Stephen C. 5 Lemieux, Jean-François 5 Luo, Li 5 Mavriplis, Dimitri J. 5 Qu, Wenzhen 5 Rider, William J. 5 Salamatova, Victoria Yu. 5 Sipp, Denis 5 Wollaber, Allan B. 5 Woodward, Carol S. 5 Xu, Qiuyan 5 Zingg, David W. 4 Birken, Philipp 4 Christlieb, Andrew J. 4 Crivellini, Andrea 4 Delzanno, Gian Luca 4 Hauck, Cory D. 4 Hennigan, Gary L. 4 Le, Duc-Vinh 4 Liu, Zhiyong 4 Martineau, Richard C. 4 Nourgaliev, Robert R. 4 Olson, Gordon L. 4 Philip, Bobby 4 Ragusa, Jean C. 4 Rauenzahn, Rick M. 4 Reisner, Jon M. 4 Sandu, Adrian 4 Shu, Shi 4 Simakov, A. N. 4 Smolarkiewicz, Piotr K. 4 Tuminaro, Ray S. 4 Tuminaro, Raymond S. 4 Willert, Jeffrey 4 Xu, Kun 4 Yue, Xiaoqiang 4 Zeifang, Jonas 4 Zhong, Xinghui 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 Cheng, Tianpei 3 Conde, Sidafa 3 Cordero, Alicia 3 De, Suvranu 3 Densmore, Jeffery D. 3 Elman, Howard C. 3 Evans, Katherine J. 3 Evans, Thomas M. 3 Finn, John M. 3 Franck, Emmanuel 3 Gassner, Gregor J. 3 Ghosh, Debojyoti 3 Gu, Yan 3 Hamilton, Steven P. 3 Hernandez-Abreu, Domingo 3 Jia, Xiaowei 3 Jiang, Jiamin ...and 1,360 more Authors all top 5 Cited in 103 Serials 321 Journal of Computational Physics 35 Computers and Fluids 31 Computer Methods in Applied Mechanics and Engineering 29 SIAM Journal on Scientific Computing 28 Computer Physics Communications 24 Journal of Computational and Applied Mathematics 21 Journal of Scientific Computing 18 Computers & Mathematics with Applications 14 Communications in Computational Physics 13 Applied Numerical Mathematics 12 Computational Mechanics 11 Journal of Fluid Mechanics 11 Applied Mathematics and Computation 10 Journal of Computational and Theoretical Transport 8 International Journal for Numerical Methods in Engineering 7 BIT 7 Computational Geosciences 5 International Journal for Numerical Methods in Fluids 5 Applied Mathematical Modelling 5 Computational and Applied Mathematics 5 Advances in Computational Mathematics 4 Applied Mathematics Letters 4 Numerical Algorithms 4 Differential Equations 4 Matematicheskoe Modelirovanie 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Advances in Applied Mathematics and Mechanics 4 Communications on Applied Mathematics and Computation 3 Mathematical Methods in the Applied Sciences 3 Mathematics and Computers in Simulation 3 SIAM Journal on Numerical Analysis 3 Numerical Methods for Partial Differential Equations 3 International Journal of Computer Mathematics 3 SIAM Review 3 Numerical Linear Algebra with Applications 3 Optimization Methods & Software 3 Combustion Theory and Modelling 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 Physics of Fluids 2 Engineering Analysis with Boundary Elements 2 Computing and Visualization in Science 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 Transport Theory and Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Multivariate Analysis 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 New Journal of Physics 1 Flow, Turbulence and Combustion 1 Lobachevskii Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Revista de Matemática: Teoría y Aplicaciones 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Sādhanā 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Numerical Mathematics 1 Thai Journal of Mathematics 1 Acta Numerica 1 Science in China. Series F 1 Communications in Applied Mathematics and Computational Science 1 Logical Methods in Computer Science 1 SIAM Journal on Imaging Sciences 1 Kinetic and Related Models 1 Numerical Mathematics: Theory, Methods and Applications 1 Communications in Theoretical Physics 1 Algorithms 1 Set-Valued and Variational Analysis 1 Science China. Mathematics 1 Numerical Algebra, Control and Optimization 1 ISRN Applied Mathematics 1 East Asian Journal on Applied Mathematics ...and 3 more Serials all top 5 Cited in 33 Fields 534 Numerical analysis (65-XX) 384 Fluid mechanics (76-XX) 163 Partial differential equations (35-XX) 111 Statistical mechanics, structure of matter (82-XX) 67 Mechanics of deformable solids (74-XX) 51 Classical thermodynamics, heat transfer (80-XX) 31 Geophysics (86-XX) 26 Optics, electromagnetic theory (78-XX) 20 Operations research, mathematical programming (90-XX) 15 Computer science (68-XX) 14 Ordinary differential equations (34-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 14 Biology and other natural sciences (92-XX) 13 Astronomy and astrophysics (85-XX) 9 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Systems theory; control (93-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Real functions (26-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year