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Author ID: roe.philip-l Recent zbMATH articles by "Roe, Philip L."
Published as: Roe, P. L.; Roe, Philip L.; Roe, Philip; Roe, P.
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
837 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

69 Publications have been cited 3,232 times in 2,522 Documents Cited by Year
Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066
Roe, P. L.
1981
On Godunov-type methods near low densities. Zbl 0709.76102
Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B.
259
1991
Characteristic-based schemes for the Euler equations. Zbl 0624.76093
Roe, P. L.
155
1986
A solution-adaptive upwind scheme for ideal magnetohydrodynamics. Zbl 0952.76045
Powell, Kenneth G.; Roe, Philip L.; Linde, Timur J.; Gombosi, Tamas I.; De Zeeuw, Darren L.
117
1999
Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks. Zbl 1280.76015
Ismail, Farzad; Roe, Philip L.
110
2009
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
75
2003
Notes on the eigensystem of magnetohydrodynamics. Zbl 0845.35092
Roe, P. L.; Balsara, D. S.
65
1996
A multidimensional generalization of Roe’s flux difference splitter for the Euler equations. Zbl 0790.76054
Deconinck, H.; Roe, P. L.; Struijs, R.
64
1993
Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics. Zbl 0587.76126
Roe, Philip L.
56
1986
Approximate Riemann solvers, parameter vectors, and difference schemes. (Reprint). Zbl 0890.65094
Roe, P. L.
48
1997
Optimum positive linear schemes for advection in two and three dimensions. Zbl 0765.65093
Roe, P. L.; Sidilkover, D.
47
1992
On postshock oscillations due to shock capturing schemes in unsteady flows. Zbl 0869.76050
Arora, Mohit; Roe, Philip L.
39
1997
Upwind differencing schemes for hyperbolic conservation laws with source terms. Zbl 0626.65086
Roe, P. L.
35
1987
A well-behaved TVD limiter for high-resolution calculations of unsteady flow. Zbl 0878.76045
Arora, Mohit; Roe, Philip L.
32
1997
Fluctuations and signals - A framework for numerical evolution problems. Zbl 0569.76072
Roe, P. L.
30
1982
Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation. Zbl 0994.35011
Morton, K. W.; Roe, P. L.
27
2001
Efficient construction and utilisation of approximate Riemann solutions. Zbl 0558.76001
Roe, P. L.; Pike, J.
24
1984
Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws. Zbl 0771.76048
Deconinck, H.; Paillère, H.; Struijs, R.; Roe, P. L.
24
1993
An entropy adjoint approach to mesh refinement. Zbl 1213.65142
Fidkowski, Krzysztof J.; Roe, Philip L.
22
2010
An upwind scheme for magnetohydrodynamics. Zbl 0900.76344
Powell, K. G.; Roe, P. L.; Myong, R. S.; Gombosi, T.; de Zeeuw, D.
22
1995
Compact high-resolution algorithms for time-dependent advection on unstructured grids. Zbl 0985.76064
Hubbard, M. E.; Roe, P. L.
20
2000
Algorithms for advection and shock problems. Zbl 0482.76008
Roe, P. L.; Baines, M. J.
20
1982
A multidimensional flux function with applications to the Euler and Navier-Stokes equations. Zbl 0767.76039
Rumsey, Christopher L.; van Leer, Bram; Roe, Philip L.
19
1993
Accelerated convergence of Jameson’s finite-volume Euler scheme using van der Houwen integrators. Zbl 0571.76003
Pike, J.; Roe, P. L.
18
1985
Numerical computation of two-dimensional unsteady detonation waves in high energy solids. Zbl 0770.76040
Clarke, J. F.; Karni, S.; Quirk, J. J.; Roe, P. L.; Simmonds, L. G.; Toro, E. F.
18
1993
A cell centred Lagrangian Godunov scheme for shock hydrodynamics. Zbl 1431.76006
Barlow, A. J.; Roe, P. L.
18
2011
A frontal approach for internal node generation in Delaunay triangulations. Zbl 0780.76064
Müller, J.-D.; Roe, P. L.; Deconinck, H.
17
1993
Sonic flux formulae. Zbl 0747.65073
Roe, P. L.
17
1992
Design of optimally smoothing multistage schemes for the Euler equations. Zbl 0758.76043
van Leer, Bram; Lee, Wen-Tzong; Roe, Philip L.; Powell, Kenneth G.; Tai, Chang-Hsien
16
1992
Divergence- and curl-preserving prolongation and restriction formulas. Zbl 1143.65322
Tóth, G.; Roe, P. L.
16
2002
Multidimensional upwinding: Its relation to finite elements. Zbl 0840.76032
Carette, 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 0787.65066
Roe, Philip L.; Arora, Mohit
12
1993
Linear bicharacteristic schemes without dissipation. Zbl 0915.65106
Roe, Philip
12
1998
Upwind schemes using various formulations of the Euler equations. Zbl 0609.76075
Roe, P. L.
11
1985
Some contributions to the modelling of discontinuous flows. Zbl 0665.76072
Roe, Philip L.
11
1985
Discontinuous solutions to hyperbolic systems under operator splitting. Zbl 0741.65077
Roe, P. L.
11
1991
A basis for upwind differencing of the two-dimensional unsteady Euler equations. Zbl 0607.76074
Roe, P. L.
10
1986
Space-time methods for hyperbolic conservation laws. Zbl 0947.76055
Lowrie, Robert B.; Roe, Philip L.; van Leer, Bram
10
1998
Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver. Zbl 1390.76499
Nishikawa, Hiroaki; Roe, Philip L.
10
2016
On Godunov-type schemes for magnetohydrodynamics. I: A model system. Zbl 0917.76053
Myong, R. S.; Roe, P. L.
9
1998
A new level set model for multimaterial flows. Zbl 1349.76647
Starinshak, David P.; Karni, Smadar; Roe, Philip L.
9
2014
Is discontinuous reconstruction really a good idea? Zbl 1381.65073
Roe, Philip
8
2017
Multidimensional upwinding. Zbl 1368.65168
Roe, P.
7
2017
Computational fluid dynamics – retrospective and prospective. Zbl 1184.76811
Roe, P. L.
6
2005
The active flux scheme on Cartesian grids and its low Mach number limit. Zbl 1442.65190
Barsukow, Wasilij; Hohm, Jonathan; Klingenberg, Christian; Roe, Philip L.
5
2019
Adaptive grid generation by minimizing residuals. Zbl 1048.76049
Roe, Philip; Nishikawa, Hiroaki
4
2002
A simple explanation of superconvergence for discontinuous Galerkin solutions to \(u_t+u_x=0\). Zbl 1388.65105
Roe, Philip
4
2017
Remote boundary conditions for unsteady multidimensional aerodynamic computations. Zbl 0665.76058
Roe, P. L.
3
1989
Numerical wave propagation and steady-state solutions: Soft wall and outer boundary conditions. Zbl 0894.76044
Mazaheri, K.; Roe, P. L.
2
1997
An Euler code that can compute potential flow. Zbl 1052.65556
Rad, Mani; Roe, Philip
2
1999
A new level-set model for the representation of non-smooth geometries. Zbl 1307.65113
Starinshak, David P.; Karni, Smadar; Roe, Philip L.
2
2014
Did numerical methods for hyperbolic problems take a wrong turning? Zbl 1412.65090
Roe, Philip
1
2018
Numerical modelling of shockwaves and other discontinuities. Zbl 0562.76057
Roe, P. L.
1
1982
On a mistaken notion of “proper upwinding”. Zbl 0938.76092
Linda, Timur; Roe, Philip
1
1998
Gaussian-based moment-method closures for the solutions of the Boltzmann equation. Zbl 0930.76064
Groth, 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 0958.76076
Arora, M.; Roe, P. L.
1
1998
Compounded of many simples. Reflections on the role of model problems in CFD. Zbl 0954.76081
Roe, Philip
1
1998
On multidimensional positively conservative high-resolution schemes. Zbl 0939.76069
Linde, Timur; Roe, Philip L.
1
1998
Waves in discrete fluids. Zbl 0820.76070
Roe, P. L.
1
1993
On the numerical solution of conservation laws by minimizing residuals. Zbl 0809.76077
Lowrie, R. B.; Roe, P. L.
1
1994
Mathematical problems associated with computing flow of real gases. Zbl 0810.76034
Roe, P. L.
1
1994
A fresh look at viscous conservation laws via equivalent relaxation systems. Zbl 0900.65262
Arora, Mohit; Roe, Philip L.
1
1996
Preserving vorticity in finite-volume schemes. Zbl 1052.65536
Roe, Philip; Morton, Bill
1
1999
On uniformly accurate upwinding for hyperbolic systems with relaxation. Zbl 1052.65527
Hittinger, Jeffrey; Roe, Philip
1
1999
A method for designing lifting configurations for high supersonic speeds using axisymmetric flow fields. Zbl 0172.53002
Jones, J. G.; Moore, K. C.; Pike, J.; Roe, P. L.
1
1968
Toward Godunov-type methods for hyperbolic conservation laws with stiff relaxation. Zbl 1036.76041
Roe, Philip L.; Hittinger, Jeffrey A. F.
1
2001
Multidimensional upwinding: Its relation to finite elements. Zbl 0879.76047
Carette, J. C.; Deconinck, H.; Paillère, H.; Roe, P. L.
1
1993
On oscillations due to shock capturing in unsteady flows. Zbl 0861.76046
Arora, Mohit; Roe, Philip L.
1
1995
Designing CFD methods for bandwidth – a physical approach. Zbl 07352807
Roe, Philip
1
2021
Designing CFD methods for bandwidth – a physical approach. Zbl 07352807
Roe, Philip
1
2021
The active flux scheme on Cartesian grids and its low Mach number limit. Zbl 1442.65190
Barsukow, Wasilij; Hohm, Jonathan; Klingenberg, Christian; Roe, Philip L.
5
2019
Did numerical methods for hyperbolic problems take a wrong turning? Zbl 1412.65090
Roe, Philip
1
2018
Is discontinuous reconstruction really a good idea? Zbl 1381.65073
Roe, Philip
8
2017
Multidimensional upwinding. Zbl 1368.65168
Roe, P.
7
2017
A simple explanation of superconvergence for discontinuous Galerkin solutions to \(u_t+u_x=0\). Zbl 1388.65105
Roe, Philip
4
2017
Third-order active-flux scheme for advection diffusion: hyperbolic diffusion, boundary condition, and Newton solver. Zbl 1390.76499
Nishikawa, Hiroaki; Roe, Philip L.
10
2016
A new level set model for multimaterial flows. Zbl 1349.76647
Starinshak, David P.; Karni, Smadar; Roe, Philip L.
9
2014
A new level-set model for the representation of non-smooth geometries. Zbl 1307.65113
Starinshak, David P.; Karni, Smadar; Roe, Philip L.
2
2014
A cell centred Lagrangian Godunov scheme for shock hydrodynamics. Zbl 1431.76006
Barlow, A. J.; Roe, P. L.
18
2011
An entropy adjoint approach to mesh refinement. Zbl 1213.65142
Fidkowski, Krzysztof J.; Roe, Philip L.
22
2010
Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks. Zbl 1280.76015
Ismail, Farzad; Roe, Philip L.
110
2009
Computational fluid dynamics – retrospective and prospective. Zbl 1184.76811
Roe, P. L.
6
2005
High-order fluctuation schemes on triangular meshes. Zbl 1068.65133
Abgrall, R.; Roe, P. L.
75
2003
Divergence- and curl-preserving prolongation and restriction formulas. Zbl 1143.65322
Tóth, G.; Roe, P. L.
16
2002
Adaptive grid generation by minimizing residuals. Zbl 1048.76049
Roe, Philip; Nishikawa, Hiroaki
4
2002
Vorticity-preserving Lax-Wendroff-type schemes for the system wave equation. Zbl 0994.35011
Morton, K. W.; Roe, P. L.
27
2001
Toward Godunov-type methods for hyperbolic conservation laws with stiff relaxation. Zbl 1036.76041
Roe, Philip L.; Hittinger, Jeffrey A. F.
1
2001
Compact high-resolution algorithms for time-dependent advection on unstructured grids. Zbl 0985.76064
Hubbard, M. E.; Roe, P. L.
20
2000
A solution-adaptive upwind scheme for ideal magnetohydrodynamics. Zbl 0952.76045
Powell, Kenneth G.; Roe, Philip L.; Linde, Timur J.; Gombosi, Tamas I.; De Zeeuw, Darren L.
117
1999
An Euler code that can compute potential flow. Zbl 1052.65556
Rad, Mani; Roe, Philip
2
1999
Preserving vorticity in finite-volume schemes. Zbl 1052.65536
Roe, Philip; Morton, Bill
1
1999
On uniformly accurate upwinding for hyperbolic systems with relaxation. Zbl 1052.65527
Hittinger, Jeffrey; Roe, Philip
1
1999
Linear bicharacteristic schemes without dissipation. Zbl 0915.65106
Roe, Philip
12
1998
Space-time methods for hyperbolic conservation laws. Zbl 0947.76055
Lowrie, Robert B.; Roe, Philip L.; van Leer, Bram
10
1998
On Godunov-type schemes for magnetohydrodynamics. I: A model system. Zbl 0917.76053
Myong, R. S.; Roe, P. L.
9
1998
On a mistaken notion of “proper upwinding”. Zbl 0938.76092
Linda, Timur; Roe, Philip
1
1998
Issues and strategies for hyperbolic problems with stiff source terms. Zbl 0958.76076
Arora, M.; Roe, P. L.
1
1998
Compounded of many simples. Reflections on the role of model problems in CFD. Zbl 0954.76081
Roe, Philip
1
1998
On multidimensional positively conservative high-resolution schemes. Zbl 0939.76069
Linde, Timur; Roe, Philip L.
1
1998
Approximate Riemann solvers, parameter vectors, and difference schemes. (Reprint). Zbl 0890.65094
Roe, P. L.
48
1997
On postshock oscillations due to shock capturing schemes in unsteady flows. Zbl 0869.76050
Arora, Mohit; Roe, Philip L.
39
1997
A well-behaved TVD limiter for high-resolution calculations of unsteady flow. Zbl 0878.76045
Arora, Mohit; Roe, Philip L.
32
1997
Numerical wave propagation and steady-state solutions: Soft wall and outer boundary conditions. Zbl 0894.76044
Mazaheri, K.; Roe, P. L.
2
1997
Notes on the eigensystem of magnetohydrodynamics. Zbl 0845.35092
Roe, P. L.; Balsara, D. S.
65
1996
Gaussian-based moment-method closures for the solutions of the Boltzmann equation. Zbl 0930.76064
Groth, 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 0900.65262
Arora, Mohit; Roe, Philip L.
1
1996
An upwind scheme for magnetohydrodynamics. Zbl 0900.76344
Powell, K. G.; Roe, P. L.; Myong, R. S.; Gombosi, T.; de Zeeuw, D.
22
1995
Multidimensional upwinding: Its relation to finite elements. Zbl 0840.76032
Carette, J.-C.; Deconinck, H.; Paillère, H.; Roe, P. L.
13
1995
On oscillations due to shock capturing in unsteady flows. Zbl 0861.76046
Arora, Mohit; Roe, Philip L.
1
1995
On the numerical solution of conservation laws by minimizing residuals. Zbl 0809.76077
Lowrie, R. B.; Roe, P. L.
1
1994
Mathematical problems associated with computing flow of real gases. Zbl 0810.76034
Roe, P. L.
1
1994
A multidimensional generalization of Roe’s flux difference splitter for the Euler equations. Zbl 0790.76054
Deconinck, H.; Roe, P. L.; Struijs, R.
64
1993
Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws. Zbl 0771.76048
Deconinck, H.; Paillère, H.; Struijs, R.; Roe, P. L.
24
1993
A multidimensional flux function with applications to the Euler and Navier-Stokes equations. Zbl 0767.76039
Rumsey, Christopher L.; van Leer, Bram; Roe, Philip L.
19
1993
Numerical computation of two-dimensional unsteady detonation waves in high energy solids. Zbl 0770.76040
Clarke, 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 0780.76064
Müller, J.-D.; Roe, P. L.; Deconinck, H.
17
1993
Characteristic-based schemes for dispersive waves. I: The method of characteristics for smooth solutions. Zbl 0787.65066
Roe, Philip L.; Arora, Mohit
12
1993
Waves in discrete fluids. Zbl 0820.76070
Roe, P. L.
1
1993
Multidimensional upwinding: Its relation to finite elements. Zbl 0879.76047
Carette, J. C.; Deconinck, H.; Paillère, H.; Roe, P. L.
1
1993
Optimum positive linear schemes for advection in two and three dimensions. Zbl 0765.65093
Roe, P. L.; Sidilkover, D.
47
1992
Sonic flux formulae. Zbl 0747.65073
Roe, P. L.
17
1992
Design of optimally smoothing multistage schemes for the Euler equations. Zbl 0758.76043
van Leer, Bram; Lee, Wen-Tzong; Roe, Philip L.; Powell, Kenneth G.; Tai, Chang-Hsien
16
1992
On Godunov-type methods near low densities. Zbl 0709.76102
Einfeldt, B.; Munz, C. D.; Roe, P. L.; Sjögreen, B.
259
1991
Discontinuous solutions to hyperbolic systems under operator splitting. Zbl 0741.65077
Roe, P. L.
11
1991
Remote boundary conditions for unsteady multidimensional aerodynamic computations. Zbl 0665.76058
Roe, P. L.
3
1989
Upwind differencing schemes for hyperbolic conservation laws with source terms. Zbl 0626.65086
Roe, P. L.
35
1987
Characteristic-based schemes for the Euler equations. Zbl 0624.76093
Roe, P. L.
155
1986
Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics. Zbl 0587.76126
Roe, Philip L.
56
1986
A basis for upwind differencing of the two-dimensional unsteady Euler equations. Zbl 0607.76074
Roe, P. L.
10
1986
Accelerated convergence of Jameson’s finite-volume Euler scheme using van der Houwen integrators. Zbl 0571.76003
Pike, J.; Roe, P. L.
18
1985
Upwind schemes using various formulations of the Euler equations. Zbl 0609.76075
Roe, P. L.
11
1985
Some contributions to the modelling of discontinuous flows. Zbl 0665.76072
Roe, Philip L.
11
1985
Efficient construction and utilisation of approximate Riemann solutions. Zbl 0558.76001
Roe, P. L.; Pike, J.
24
1984
Fluctuations and signals - A framework for numerical evolution problems. Zbl 0569.76072
Roe, P. L.
30
1982
Algorithms for advection and shock problems. Zbl 0482.76008
Roe, P. L.; Baines, M. J.
20
1982
Numerical modelling of shockwaves and other discontinuities. Zbl 0562.76057
Roe, P. L.
1
1982
Approximate Riemann solvers, parameter vectors, and difference schemes. Zbl 0474.65066
Roe, P. L.
1981
A method for designing lifting configurations for high supersonic speeds using axisymmetric flow fields. Zbl 0172.53002
Jones, J. G.; Moore, K. C.; Pike, J.; Roe, P. L.
1
1968
all top 5

Cited by 3,369 Authors

36 Abgrall, Rémi
33 Shu, Chi-Wang
32 Dumbser, Michael
28 Glaister, Paul
27 Farhat, Charbel H.
24 Ricchiuto, Mario
24 Toro, Eleuterio F.
23 Garcia-Navarro, Pilar
23 Gassner, Gregor J.
22 Balsara, Dinshaw S.
21 Nishikawa, Hiroaki
21 Winters, Andrew R.
18 Castro, Manuel J.
18 Murillo, Javier
18 Parés Madroñal, Carlos
18 Roe, Philip L.
18 Yan, Chao
16 Giannakoglou, Kyriakos C.
16 Jameson, Antony
15 Adams, Nikolaus A.
15 Benkhaldoun, Fayssal
15 Deconinck, Herman
15 Klingenberg, Christian
14 Capdeville, Guy
14 Fidkowski, Krzysztof J.
14 Guardone, Alberto
14 Ollivier-Gooch, Carl F.
14 Vázquez-Cendón, María Elena
13 Darmofal, David L.
13 Kuzmin, Dmitri
13 Mishra, Siddhartha
13 Seaïd, Mohammed
12 Carpenter, Mark H.
12 Gaitonde, Datta V.
12 Groth, Clinton P. T.
12 Luo, Hong
12 Munz, Claus-Dieter
12 Ren, Yuxin
11 Deng, Xiaogang
11 Hubbard, Matthew E.
11 Karni, Smadar
11 Persson, Per-Olof
11 Yee, Helen C.
10 Egorov, Ivan V.
10 Gallouët, Thierry
10 Hérard, Jean-Marc
10 Ismail, Farzad
10 Mavriplis, Dimitri J.
10 Wang, Zhijian
9 Berthon, Christophe
9 Bonfiglioli, Aldo
9 Chandrashekar, Praveen
9 Fujii, Kozo
9 Gallardo, José M.
9 Kitamura, Keiichi
9 Napolitano, Michele
9 Nogueira, Xesús
9 Nonomura, Taku
9 Parsani, Matteo
9 Pascazio, Giuseppe
9 Shu, Chang
9 Svärd, Magnus
9 Tadmor, Eitan
9 Yu, Jian
9 Yuan, Li
8 Barsukow, Wasilij
8 De Palma, Pietro
8 Duraisamy, Karthik
8 Elmahi, Imad
8 Ghidaglia, Jean-Michel
8 Goncalves, Eric
8 Jiwari, Ram
8 Kim, Chongam
8 Kurganov, Alexander
8 Lerat, Alain
8 LeVeque, Randall J.
8 Li, Jiequan
8 Löhner, Rainald
8 Lukáčová-Medvid’ová, Mária
8 Nkonga, Boniface
8 Paciorri, Renato
8 Papadimitriou, Dimitrios I.
8 Qu, Feng
8 Renac, Florent
8 Saurel, Richard
8 Sjogreen, Bjorn
8 Sun, Di
8 Turkel, Eli L.
8 Xiao, Feng
8 Xu, Kun
7 Chen, Shusheng
7 Chizari, Hossain
7 Christlieb, Andrew J.
7 Colominas, Ignasi
7 Del Rey Fernández, David C.
7 Delis, Argiris I.
7 Edwards, Michael G.
7 Gombosi, Tamas I.
7 Guinot, Vincent
7 Hicken, Jason E.
...and 3,269 more Authors
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Cited in 165 Serials

811 Journal of Computational Physics
400 Computers and Fluids
131 Journal of Scientific Computing
120 Computer Methods in Applied Mechanics and Engineering
98 International Journal for Numerical Methods in Fluids
71 International Journal of Computational Fluid Dynamics
62 Computers & Mathematics with Applications
47 Applied Mathematics and Computation
45 Applied Numerical Mathematics
36 Journal of Fluid Mechanics
35 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
20 Matematicheskoe Modelirovanie
19 Mathematics and Computers in Simulation
18 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
13 Shock Waves
13 Computational Mathematics and Mathematical Physics
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
8 Numerical Methods for Partial Differential Equations
8 International Journal of Computational Methods
8 Journal of Hyperbolic Differential Equations
7 Numerische Mathematik
7 Flow, Turbulence and Combustion
7 Communications in Nonlinear Science and Numerical Simulation
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 Communications in Numerical Methods in Engineering
6 Advances in Computational Mathematics
6 Mathematical Problems in Engineering
5 Journal of Engineering Mathematics
5 BIT
5 Applied Mathematics Letters
5 Numerical Algorithms
5 International Journal of Computer Mathematics
5 Computational Geosciences
5 Combustion Theory and Modelling
5 Sādhanā
5 Communications on Applied Mathematics and Computation
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 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 GEM - International Journal on Geomathematics
2 International Journal of Advances in Engineering Sciences and Applied Mathematics
2 S\(\vec{\text{e}}\)MA Journal
2 International Journal of Applied and Computational Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2 International Journal on Finite Volumes
1 Classical and Quantum Gravity
...and 65 more Serials
all top 5

Cited in 35 Fields

2,124 Fluid mechanics (76-XX)
1,278 Numerical analysis (65-XX)
575 Partial differential equations (35-XX)
89 Mechanics of deformable solids (74-XX)
72 Geophysics (86-XX)
70 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)
20 Astronomy and astrophysics (85-XX)
15 Operations research, mathematical programming (90-XX)
14 Computer science (68-XX)
8 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 Dynamical systems and ergodic theory (37-XX)
5 Probability theory and stochastic processes (60-XX)
4 General and overarching topics; collections (00-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Systems theory; control (93-XX)
3 Approximations and expansions (41-XX)
2 History and biography (01-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Integral equations (45-XX)
2 Statistics (62-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Functional analysis (46-XX)
1 General topology (54-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Quantum theory (81-XX)

Citations by Year

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