Edit Profile (opens in new tab) Roe, Philip L. Compute Distance To: Compute Author ID: roe.philip-l Published as: Roe, P. L.; Roe, Philip L.; Roe, Philip; Roe, P. more...less External Links: MGP · Wikidata · dblp · GND Documents Indexed: 77 Publications since 1968 1 Contribution as Editor Biographic References: 2 Publications Co-Authors: 46 Co-Authors with 46 Joint Publications 843 Co-Co-Authors all top 5 Co-Authors 28 single-authored 6 Arora, Mohit 4 van Leer, Bram 3 Gombosi, Tamas I. 3 Hittinger, Jeffrey A. F. 3 Karni, Smadar 3 Paillère, Henri 3 Powell, Kenneth Grant 2 Carette, J.-C. 2 Linde, Timur J. 2 Lowrie, Robert B. 2 Mazaheri, Karim 2 Myong, Rho-Shin 2 Nishikawa, Hiroaki 2 Starinshak, David P. 2 Struijs, R. 1 Abgrall, Rémi 1 Balsara, Dinshaw S. 1 Barlow, Andrew J. 1 Barsukow, Wasilij 1 Brown, Shawn L. 1 Clarke, John F. 1 De Zeeuw, Darren L. 1 Einfeldt, Bernd 1 Fidkowski, Krzysztof J. 1 Groth, Clinton P. T. 1 Hohm, Jonathan 1 Hubbard, Matthew E. 1 Ismail, Farzad 1 Jones, J. G. 1 Klingenberg, Christian 1 Lee, Wen-Tzong 1 Linda, Timur 1 Moore, Kayran C. 1 Morton, Bill 1 Morton, Keith William 1 Müller, Jens-Dominik 1 Munz, Claus-Dieter 1 Quirk, James J. 1 Rad, Mani 1 Rumsey, Christopher L. 1 Sidilkover, David 1 Simmonds, L. G. 1 Sjogreen, Bjorn 1 Tai, Chang-Hsien 1 Toro, Eleuterio Francisco 1 Zaide, Daniel W. all top 5 Serials 15 Journal of Computational Physics 6 Computers and Fluids 5 International Journal for Numerical Methods in Fluids 4 Journal of Scientific Computing 3 SIAM Journal on Scientific Computing 2 Numerical Methods for Partial Differential Equations 1 AIAA Journal 1 Ingenieur-Archiv 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 SIAM Journal on Numerical Analysis 1 SIAM Journal on Scientific and Statistical Computing 1 Communications in Applied Numerical Methods 1 Computational Mechanics 1 Applied Mathematics Letters 1 SIAM Journal on Applied Mathematics 1 International Journal of Computational Fluid Dynamics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Communications in Computational Physics 1 The College Mathematics Journal 1 Communications on Applied Mathematics and Computation all top 5 Fields 62 Fluid mechanics (76-XX) 34 Numerical analysis (65-XX) 25 Partial differential equations (35-XX) 3 History and biography (01-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 69 Publications have been cited 3,387 times in 2,631 Documents Cited by ▼ Year ▼ Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066Roe, P. L. 1,688 1981 On Godunov-type methods near low densities. Zbl 0709.76102Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B. 275 1991 Characteristic-based schemes for the Euler equations. Zbl 0624.76093Roe, P. L. 160 1986 Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks. Zbl 1280.76015Ismail, Farzad; Roe, Philip L. 131 2009 A solution-adaptive upwind scheme for ideal magnetohydrodynamics. Zbl 0952.76045Powell, Kenneth G.; Roe, Philip L.; Linde, Timur J.; Gombosi, Tamas I.; De Zeeuw, Darren L. 126 1999 High-order fluctuation schemes on triangular meshes. Zbl 1068.65133Abgrall, R.; Roe, P. L. 80 2003 A multidimensional generalization of Roe’s flux difference splitter for the Euler equations. Zbl 0790.76054Deconinck, H.; Roe, P. L.; Struijs, R. 69 1993 Notes on the eigensystem of magnetohydrodynamics. Zbl 0845.35092Roe, P. L.; Balsara, D. S. 69 1996 Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics. Zbl 0587.76126Roe, Philip L. 59 1986 Approximate Riemann solvers, parameter vectors, and difference schemes. (Reprint). Zbl 0890.65094Roe, P. L. 51 1997 Optimum positive linear schemes for advection in two and three dimensions. Zbl 0765.65093Roe, P. L.; Sidilkover, D. 48 1992 On postshock oscillations due to shock capturing schemes in unsteady flows. Zbl 0869.76050Arora, Mohit; Roe, Philip L. 41 1997 Upwind differencing schemes for hyperbolic conservation laws with source terms. Zbl 0626.65086Roe, P. L. 37 1987 A well-behaved TVD limiter for high-resolution calculations of unsteady flow. Zbl 0878.76045Arora, Mohit; Roe, Philip L. 34 1997 Fluctuations and signals - A framework for numerical evolution problems. Zbl 0569.76072Roe, P. L. 30 1982 Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation. Zbl 0994.35011Morton, K. W.; Roe, P. L. 27 2001 An entropy adjoint approach to mesh refinement. Zbl 1213.65142Fidkowski, Krzysztof J.; Roe, Philip L. 25 2010 Efficient construction and utilisation of approximate Riemann solutions. Zbl 0558.76001Roe, P. L.; Pike, J. 24 1984 Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws. Zbl 0771.76048Deconinck, H.; Paillère, H.; Struijs, R.; Roe, P. L. 24 1993 An upwind scheme for magnetohydrodynamics. Zbl 0900.76344Powell, K. G.; Roe, P. L.; Myong, R. S.; Gombosi, T.; de Zeeuw, D. 22 1995 Algorithms for advection and shock problems. Zbl 0482.76008Roe, P. L.; Baines, M. J. 20 1982 Compact high-resolution algorithms for time-dependent advection on unstructured grids. Zbl 0985.76064Hubbard, M. E.; Roe, P. L. 20 2000 A multidimensional flux function with applications to the Euler and Navier-Stokes equations. Zbl 0767.76039Rumsey, Christopher L.; van Leer, Bram; Roe, Philip L. 19 1993 A cell centred Lagrangian Godunov scheme for shock hydrodynamics. Zbl 1431.76006Barlow, A. J.; Roe, P. L. 19 2011 Sonic flux formulae. Zbl 0747.65073Roe, P. L. 19 1992 Accelerated convergence of Jameson’s finite-volume Euler scheme using van der Houwen integrators. Zbl 0571.76003Pike, J.; Roe, P. L. 18 1985 Numerical computation of two-dimensional unsteady detonation waves in high energy solids. Zbl 0770.76040Clarke, J. F.; Karni, S.; Quirk, J. J.; Roe, P. L.; Simmonds, L. G.; Toro, E. F. 18 1993 A frontal approach for internal node generation in Delaunay triangulations. Zbl 0780.76064Müller, J.-D.; Roe, P. L.; Deconinck, H. 17 1993 Divergence- and curl-preserving prolongation and restriction formulas. Zbl 1143.65322Tóth, G.; Roe, P. L. 17 2002 Design of optimally smoothing multistage schemes for the Euler equations. Zbl 0758.76043van Leer, Bram; Lee, Wen-Tzong; Roe, Philip L.; Powell, Kenneth G.; Tai, Chang-Hsien 16 1992 Multidimensional upwinding: Its relation to finite elements. Zbl 0840.76032Carette, J.-C.; Deconinck, H.; Paillère, H.; Roe, P. L. 13 1995 Characteristic-based schemes for dispersive waves. I: The method of characteristics for smooth solutions. Zbl 0787.65066Roe, Philip L.; Arora, Mohit 12 1993 Some contributions to the modelling of discontinuous flows. Zbl 0665.76072Roe, Philip L. 12 1985 Linear bicharacteristic schemes without dissipation. Zbl 0915.65106Roe, Philip 12 1998 Discontinuous solutions to hyperbolic systems under operator splitting. Zbl 0741.65077Roe, P. L. 11 1991 Upwind schemes using various formulations of the Euler equations. Zbl 0609.76075Roe, P. L. 11 1985 Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver. Zbl 1390.76499Nishikawa, Hiroaki; Roe, Philip L. 11 2016 On Godunov-type schemes for magnetohydrodynamics. I: A model system. Zbl 0917.76053Myong, R. S.; Roe, P. L. 10 1998 Space-time methods for hyperbolic conservation laws. Zbl 0947.76055Lowrie, Robert B.; Roe, Philip L.; van Leer, Bram 10 1998 A basis for upwind differencing of the two-dimensional unsteady Euler equations. Zbl 0607.76074Roe, P. L. 10 1986 A new level set model for multimaterial flows. Zbl 1349.76647Starinshak, David P.; Karni, Smadar; Roe, Philip L. 9 2014 Is discontinuous reconstruction really a good idea? Zbl 1381.65073Roe, Philip 8 2017 Multidimensional upwinding. Zbl 1368.65168Roe, P. 7 2017 Computational fluid dynamics – retrospective and prospective. Zbl 1184.76811Roe, P. L. 6 2005 The active flux scheme on Cartesian grids and its low Mach number limit. Zbl 1442.65190Barsukow, Wasilij; Hohm, Jonathan; Klingenberg, Christian; Roe, Philip L. 6 2019 Adaptive grid generation by minimizing residuals. Zbl 1048.76049Roe, Philip; Nishikawa, Hiroaki 4 2002 A simple explanation of superconvergence for discontinuous Galerkin solutions to \(u_t+u_x=0\). Zbl 1388.65105Roe, Philip 4 2017 An Euler code that can compute potential flow. Zbl 1052.65556Rad, Mani; Roe, Philip 3 1999 Remote boundary conditions for unsteady multidimensional aerodynamic computations. Zbl 0665.76058Roe, P. L. 3 1989 Numerical wave propagation and steady-state solutions: Soft wall and outer boundary conditions. Zbl 0894.76044Mazaheri, K.; Roe, P. L. 2 1997 A new level-set model for the representation of non-smooth geometries. Zbl 1307.65113Starinshak, David P.; Karni, Smadar; Roe, Philip L. 2 2014 Waves in discrete fluids. Zbl 0820.76070Roe, P. L. 1 1993 On the numerical solution of conservation laws by minimizing residuals. Zbl 0809.76077Lowrie, R. B.; Roe, P. L. 1 1994 Mathematical problems associated with computing flow of real gases. Zbl 0810.76034Roe, P. L. 1 1994 Did numerical methods for hyperbolic problems take a wrong turning? Zbl 1412.65090Roe, Philip 1 2018 Numerical modelling of shockwaves and other discontinuities. Zbl 0562.76057Roe, P. L. 1 1982 Preserving vorticity in finite-volume schemes. Zbl 1052.65536Roe, Philip; Morton, Bill 1 1999 On uniformly accurate upwinding for hyperbolic systems with relaxation. Zbl 1052.65527Hittinger, Jeffrey; Roe, Philip 1 1999 On oscillations due to shock capturing in unsteady flows. Zbl 0861.76046Arora, Mohit; Roe, Philip L. 1 1995 On a mistaken notion of “proper upwinding”. Zbl 0938.76092Linda, Timur; Roe, Philip 1 1998 Gaussian-based moment-method closures for the solutions of the Boltzmann equation. Zbl 0930.76064Groth, Clinton P. T.; Gombosi, Tamas I.; Roe, Philip L.; Brown, Shawn L. 1 1996 Issues and strategies for hyperbolic problems with stiff source terms. Zbl 0958.76076Arora, M.; Roe, P. L. 1 1998 Compounded of many simples. Reflections on the role of model problems in CFD. Zbl 0954.76081Roe, Philip 1 1998 On multidimensional positively conservative high-resolution schemes. Zbl 0939.76069Linde, Timur; Roe, Philip L. 1 1998 Multidimensional upwinding: Its relation to finite elements. Zbl 0879.76047Carette, J. C.; Deconinck, H.; Paillère, H.; Roe, P. L. 1 1993 A fresh look at viscous conservation laws via equivalent relaxation systems. Zbl 0900.65262Arora, Mohit; Roe, Philip L. 1 1996 Toward Godunov-type methods for hyperbolic conservation laws with stiff relaxation. Zbl 1036.76041Roe, Philip L.; Hittinger, Jeffrey A. F. 1 2001 Designing CFD methods for bandwidth – a physical approach. Zbl 07352807Roe, Philip 1 2021 A method for designing lifting configurations for high supersonic speeds using axisymmetric flow fields. Zbl 0172.53002Jones, J. G.; Moore, K. C.; Pike, J.; Roe, P. L. 1 1968 Designing CFD methods for bandwidth – a physical approach. Zbl 07352807Roe, Philip 1 2021 The active flux scheme on Cartesian grids and its low Mach number limit. Zbl 1442.65190Barsukow, Wasilij; Hohm, Jonathan; Klingenberg, Christian; Roe, Philip L. 6 2019 Did numerical methods for hyperbolic problems take a wrong turning? Zbl 1412.65090Roe, Philip 1 2018 Is discontinuous reconstruction really a good idea? Zbl 1381.65073Roe, Philip 8 2017 Multidimensional upwinding. Zbl 1368.65168Roe, P. 7 2017 A simple explanation of superconvergence for discontinuous Galerkin solutions to \(u_t+u_x=0\). Zbl 1388.65105Roe, Philip 4 2017 Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver. Zbl 1390.76499Nishikawa, Hiroaki; Roe, Philip L. 11 2016 A new level set model for multimaterial flows. Zbl 1349.76647Starinshak, David P.; Karni, Smadar; Roe, Philip L. 9 2014 A new level-set model for the representation of non-smooth geometries. Zbl 1307.65113Starinshak, David P.; Karni, Smadar; Roe, Philip L. 2 2014 A cell centred Lagrangian Godunov scheme for shock hydrodynamics. Zbl 1431.76006Barlow, A. J.; Roe, P. L. 19 2011 An entropy adjoint approach to mesh refinement. Zbl 1213.65142Fidkowski, Krzysztof J.; Roe, Philip L. 25 2010 Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks. Zbl 1280.76015Ismail, Farzad; Roe, Philip L. 131 2009 Computational fluid dynamics – retrospective and prospective. Zbl 1184.76811Roe, P. L. 6 2005 High-order fluctuation schemes on triangular meshes. Zbl 1068.65133Abgrall, R.; Roe, P. L. 80 2003 Divergence- and curl-preserving prolongation and restriction formulas. Zbl 1143.65322Tóth, G.; Roe, P. L. 17 2002 Adaptive grid generation by minimizing residuals. Zbl 1048.76049Roe, Philip; Nishikawa, Hiroaki 4 2002 Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation. Zbl 0994.35011Morton, K. W.; Roe, P. L. 27 2001 Toward Godunov-type methods for hyperbolic conservation laws with stiff relaxation. Zbl 1036.76041Roe, Philip L.; Hittinger, Jeffrey A. F. 1 2001 Compact high-resolution algorithms for time-dependent advection on unstructured grids. Zbl 0985.76064Hubbard, M. E.; Roe, P. L. 20 2000 A solution-adaptive upwind scheme for ideal magnetohydrodynamics. Zbl 0952.76045Powell, Kenneth G.; Roe, Philip L.; Linde, Timur J.; Gombosi, Tamas I.; De Zeeuw, Darren L. 126 1999 An Euler code that can compute potential flow. Zbl 1052.65556Rad, Mani; Roe, Philip 3 1999 Preserving vorticity in finite-volume schemes. Zbl 1052.65536Roe, Philip; Morton, Bill 1 1999 On uniformly accurate upwinding for hyperbolic systems with relaxation. Zbl 1052.65527Hittinger, Jeffrey; Roe, Philip 1 1999 Linear bicharacteristic schemes without dissipation. Zbl 0915.65106Roe, Philip 12 1998 On Godunov-type schemes for magnetohydrodynamics. I: A model system. Zbl 0917.76053Myong, R. S.; Roe, P. L. 10 1998 Space-time methods for hyperbolic conservation laws. Zbl 0947.76055Lowrie, Robert B.; Roe, Philip L.; van Leer, Bram 10 1998 On a mistaken notion of “proper upwinding”. Zbl 0938.76092Linda, Timur; Roe, Philip 1 1998 Issues and strategies for hyperbolic problems with stiff source terms. Zbl 0958.76076Arora, M.; Roe, P. L. 1 1998 Compounded of many simples. Reflections on the role of model problems in CFD. Zbl 0954.76081Roe, Philip 1 1998 On multidimensional positively conservative high-resolution schemes. Zbl 0939.76069Linde, Timur; Roe, Philip L. 1 1998 Approximate Riemann solvers, parameter vectors, and difference schemes. (Reprint). Zbl 0890.65094Roe, P. L. 51 1997 On postshock oscillations due to shock capturing schemes in unsteady flows. Zbl 0869.76050Arora, Mohit; Roe, Philip L. 41 1997 A well-behaved TVD limiter for high-resolution calculations of unsteady flow. Zbl 0878.76045Arora, Mohit; Roe, Philip L. 34 1997 Numerical wave propagation and steady-state solutions: Soft wall and outer boundary conditions. Zbl 0894.76044Mazaheri, K.; Roe, P. L. 2 1997 Notes on the eigensystem of magnetohydrodynamics. Zbl 0845.35092Roe, P. L.; Balsara, D. S. 69 1996 Gaussian-based moment-method closures for the solutions of the Boltzmann equation. Zbl 0930.76064Groth, Clinton P. T.; Gombosi, Tamas I.; Roe, Philip L.; Brown, Shawn L. 1 1996 A fresh look at viscous conservation laws via equivalent relaxation systems. Zbl 0900.65262Arora, Mohit; Roe, Philip L. 1 1996 An upwind scheme for magnetohydrodynamics. Zbl 0900.76344Powell, K. G.; Roe, P. L.; Myong, R. S.; Gombosi, T.; de Zeeuw, D. 22 1995 Multidimensional upwinding: Its relation to finite elements. Zbl 0840.76032Carette, J.-C.; Deconinck, H.; Paillère, H.; Roe, P. L. 13 1995 On oscillations due to shock capturing in unsteady flows. Zbl 0861.76046Arora, Mohit; Roe, Philip L. 1 1995 On the numerical solution of conservation laws by minimizing residuals. Zbl 0809.76077Lowrie, R. B.; Roe, P. L. 1 1994 Mathematical problems associated with computing flow of real gases. Zbl 0810.76034Roe, P. L. 1 1994 A multidimensional generalization of Roe’s flux difference splitter for the Euler equations. Zbl 0790.76054Deconinck, H.; Roe, P. L.; Struijs, R. 69 1993 Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws. Zbl 0771.76048Deconinck, H.; Paillère, H.; Struijs, R.; Roe, P. L. 24 1993 A multidimensional flux function with applications to the Euler and Navier-Stokes equations. Zbl 0767.76039Rumsey, Christopher L.; van Leer, Bram; Roe, Philip L. 19 1993 Numerical computation of two-dimensional unsteady detonation waves in high energy solids. Zbl 0770.76040Clarke, J. F.; Karni, S.; Quirk, J. J.; Roe, P. L.; Simmonds, L. G.; Toro, E. F. 18 1993 A frontal approach for internal node generation in Delaunay triangulations. Zbl 0780.76064Müller, J.-D.; Roe, P. L.; Deconinck, H. 17 1993 Characteristic-based schemes for dispersive waves. I: The method of characteristics for smooth solutions. Zbl 0787.65066Roe, Philip L.; Arora, Mohit 12 1993 Waves in discrete fluids. Zbl 0820.76070Roe, P. L. 1 1993 Multidimensional upwinding: Its relation to finite elements. Zbl 0879.76047Carette, J. C.; Deconinck, H.; Paillère, H.; Roe, P. L. 1 1993 Optimum positive linear schemes for advection in two and three dimensions. Zbl 0765.65093Roe, P. L.; Sidilkover, D. 48 1992 Sonic flux formulae. Zbl 0747.65073Roe, P. L. 19 1992 Design of optimally smoothing multistage schemes for the Euler equations. Zbl 0758.76043van Leer, Bram; Lee, Wen-Tzong; Roe, Philip L.; Powell, Kenneth G.; Tai, Chang-Hsien 16 1992 On Godunov-type methods near low densities. Zbl 0709.76102Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B. 275 1991 Discontinuous solutions to hyperbolic systems under operator splitting. Zbl 0741.65077Roe, P. L. 11 1991 Remote boundary conditions for unsteady multidimensional aerodynamic computations. Zbl 0665.76058Roe, P. L. 3 1989 Upwind differencing schemes for hyperbolic conservation laws with source terms. Zbl 0626.65086Roe, P. L. 37 1987 Characteristic-based schemes for the Euler equations. Zbl 0624.76093Roe, P. L. 160 1986 Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics. Zbl 0587.76126Roe, Philip L. 59 1986 A basis for upwind differencing of the two-dimensional unsteady Euler equations. Zbl 0607.76074Roe, P. L. 10 1986 Accelerated convergence of Jameson’s finite-volume Euler scheme using van der Houwen integrators. Zbl 0571.76003Pike, J.; Roe, P. L. 18 1985 Some contributions to the modelling of discontinuous flows. Zbl 0665.76072Roe, Philip L. 12 1985 Upwind schemes using various formulations of the Euler equations. Zbl 0609.76075Roe, P. L. 11 1985 Efficient construction and utilisation of approximate Riemann solutions. Zbl 0558.76001Roe, P. L.; Pike, J. 24 1984 Fluctuations and signals - A framework for numerical evolution problems. Zbl 0569.76072Roe, P. L. 30 1982 Algorithms for advection and shock problems. Zbl 0482.76008Roe, P. L.; Baines, M. J. 20 1982 Numerical modelling of shockwaves and other discontinuities. Zbl 0562.76057Roe, P. L. 1 1982 Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066Roe, P. L. 1,688 1981 A method for designing lifting configurations for high supersonic speeds using axisymmetric flow fields. Zbl 0172.53002Jones, J. G.; Moore, K. C.; Pike, J.; Roe, P. L. 1 1968 all cited Publications top 5 cited Publications all top 5 Cited by 3,521 Authors 38 Abgrall, Rémi 35 Shu, Chi-Wang 33 Dumbser, Michael 31 Wang, Zhijian 28 Glaister, Paul 27 Farhat, Charbel H. 27 Gassner, Gregor J. 26 Ricchiuto, Mario 24 Toro, Eleuterio Francisco 23 Balsara, Dinshaw S. 23 Garcia-Navarro, Pilar 22 Nishikawa, Hiroaki 21 Winters, Andrew R. 19 Castro, Manuel J. 19 Parés Madroñal, Carlos 18 Jameson, Antony 18 Murillo, Javier 18 Roe, Philip L. 18 Yan, Chao 16 Giannakoglou, Kyriakos C. 15 Adams, Nikolaus A. 15 Benkhaldoun, Fayssal 15 Deconinck, Herman 15 Fidkowski, Krzysztof J. 15 Klingenberg, Christian 14 Capdeville, Guy 14 Guardone, Alberto 14 Ollivier-Gooch, Carl F. 14 Seaïd, Mohammed 14 Vázquez-Cendón, María Elena 13 Darmofal, David L. 13 Kuzmin, Dmitri 13 Mishra, Siddhartha 13 Ren, Yuxin 12 Carpenter, Mark H. 12 Deng, Xiaogang 12 Gaitonde, Datta V. 12 Groth, Clinton P. T. 12 Luo, Hong 12 Munz, Claus-Dieter 11 Chandrashekar, Praveen 11 Hérard, Jean-Marc 11 Hubbard, Matthew E. 11 Karni, Smadar 11 Mavriplis, Dimitri J. 11 Persson, Per-Olof 11 Yee, Helen C. 10 Berthon, Christophe 10 Egorov, Ivan V. 10 Gallouët, Thierry 10 Ismail, Farzad 10 Parsani, Matteo 10 Qu, Feng 10 Renac, Florent 10 Sun, Di 10 Yu, Jian 9 Bonfiglioli, Aldo 9 Duraisamy, Karthik 9 Fujii, Kozo 9 Gallardo, José M. 9 Ghidaglia, Jean-Michel 9 Kitamura, Keiichi 9 Napolitano, Michele 9 Nogueira, Xesús 9 Nonomura, Taku 9 Pascazio, Giuseppe 9 Ranocha, Hendrik 9 Shu, Chang 9 Svärd, Magnus 9 Tadmor, Eitan 9 Xiao, Feng 9 Yuan, Li 8 Barsukow, Wasilij 8 De Palma, Pietro 8 Elmahi, Imad 8 Goncalves, Eric 8 Hicken, Jason E. 8 Jiwari, Ram 8 Kim, Chongam 8 Kopriva, David Alan 8 Kurganov, Alexander 8 Lerat, Alain 8 LeVeque, Randall J. 8 Li, Jiequan 8 Liang, Chunlei 8 Liu, Tiegang 8 Löhner, Rainald 8 Lukáčová-Medvid’ová, Mária 8 Nkonga, Boniface 8 Paciorri, Renato 8 Papadimitriou, Dimitrios I. 8 Saurel, Richard 8 Sjogreen, Bjorn 8 Tang, Huazhong 8 Turkel, Eli L. 8 Xu, Kun 7 Chan, Jesse 7 Chen, Shusheng 7 Chizari, Hossain 7 Christlieb, Andrew J. ...and 3,421 more Authors all top 5 Cited in 173 Serials 846 Journal of Computational Physics 415 Computers and Fluids 139 Journal of Scientific Computing 125 Computer Methods in Applied Mechanics and Engineering 98 International Journal for Numerical Methods in Fluids 73 International Journal of Computational Fluid Dynamics 67 Computers & Mathematics with Applications 49 Applied Mathematics and Computation 48 Applied Numerical Mathematics 37 Journal of Fluid Mechanics 37 Journal of Computational and Applied Mathematics 27 Communications in Computational Physics 23 International Journal for Numerical Methods in Engineering 23 European Journal of Mechanics. B. Fluids 22 SIAM Journal on Scientific Computing 21 Matematicheskoe Modelirovanie 20 Mathematics and Computers in Simulation 20 Applied Mathematical Modelling 17 International Journal of Numerical Methods for Heat & Fluid Flow 15 Physics of Fluids 15 Advances in Applied Mathematics and Mechanics 14 Mathematics of Computation 14 Computational Mathematics and Mathematical Physics 13 Shock Waves 12 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 11 Fluid Dynamics 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Computational Mechanics 9 SIAM Journal on Numerical Analysis 9 Applied Mathematics and Mechanics. (English Edition) 9 Mathematical and Computer Modelling 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 9 Archives of Computational Methods in Engineering 9 International Journal of Computational Methods 9 International Journal on Finite Volumes 8 Numerische Mathematik 8 Numerical Methods for Partial Differential Equations 8 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Hyperbolic Differential Equations 7 Flow, Turbulence and Combustion 7 Acta Mechanica Sinica 7 AMM. Applied Mathematics and Mechanics. (English Edition) 6 Acta Mechanica 6 Computer Physics Communications 6 International Journal of Heat and Mass Transfer 6 BIT 6 Numerical Algorithms 6 Communications in Numerical Methods in Engineering 6 Advances in Computational Mathematics 6 Mathematical Problems in Engineering 6 Combustion Theory and Modelling 6 Communications on Applied Mathematics and Computation 5 Journal of Engineering Mathematics 5 Applied Mathematics Letters 5 International Journal of Computer Mathematics 5 Computational Geosciences 5 Sādhanā 4 Wave Motion 4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 4 Acta Numerica 4 International Journal for Numerical Methods in Biomedical Engineering 3 Communications on Pure and Applied Mathematics 3 Mathematical Methods in the Applied Sciences 3 Theoretical and Computational Fluid Dynamics 3 Mechanics Research Communications 3 RAIRO. Modélisation Mathématique et Analyse Numérique 3 Continuum Mechanics and Thermodynamics 3 Russian Journal of Numerical Analysis and Mathematical Modelling 3 Living Reviews in Relativity 3 International Journal of Modern Physics C 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 International Journal for Computational Methods in Engineering Science and Mechanics 3 Science China. Technological Sciences 2 Modern Physics Letters B 2 Applicable Analysis 2 Astrophysics and Space Science 2 Journal of Mathematical Analysis and Applications 2 Journal of Statistical Physics 2 Bulletin of the Polish Academy of Sciences. Technical Sciences 2 Acta Applicandae Mathematicae 2 Communications in Applied Numerical Methods 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 Discrete and Continuous Dynamical Systems 2 Science in China. Series E 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Optimization Methods & Software 2 International Journal of Nonlinear Sciences and Numerical Simulation 2 Journal of Turbulence 2 Differential Equations 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Applied Mathematics and Computing 2 Multiscale Modeling & Simulation 2 Oberwolfach Reports 2 Communications in Applied Mathematics and Computational Science 2 GEM - International Journal on Geomathematics 2 International Journal of Advances in Engineering Sciences and Applied Mathematics 2 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 2 S\(\vec{\text{e}}\)MA Journal ...and 73 more Serials all top 5 Cited in 35 Fields 2,223 Fluid mechanics (76-XX) 1,355 Numerical analysis (65-XX) 611 Partial differential equations (35-XX) 93 Mechanics of deformable solids (74-XX) 75 Geophysics (86-XX) 72 Classical thermodynamics, heat transfer (80-XX) 30 Biology and other natural sciences (92-XX) 29 Statistical mechanics, structure of matter (82-XX) 26 Optics, electromagnetic theory (78-XX) 21 Astronomy and astrophysics (85-XX) 15 Operations research, mathematical programming (90-XX) 13 Computer science (68-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Mechanics of particles and systems (70-XX) 7 Relativity and gravitational theory (83-XX) 6 General and overarching topics; collections (00-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Probability theory and stochastic processes (60-XX) 6 Systems theory; control (93-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Integral equations (45-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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