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Author ID: van-leer.bram Recent zbMATH articles by "van Leer, Bram"
Published as: van Leer, Bram; van Leer, B.
Homepage: http://www.engin.umich.edu/aero/people/faculty/bram-vanleer/view
External Links: MGP · Wikidata · ResearchGate · IdRef

Publications by Year

Citations contained in zbMATH Open

44 Publications have been cited 3,551 times in 2,750 Documents Cited by Year
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. Zbl 1364.65223
van Leer, Bram
1979
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051
Harten, Amiram; Lax, Peter D.; van Leer, Bram
717
1983
Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055
van Leer, Bram
341
1974
Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056
van Leer, Bram
321
1977
A comparative study of computational methods in cosmic gas dynamics. Zbl 0492.76117
van Albada, G. D.; van Leer, B.; Roberts, W. W. jun.
134
1982
Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow. Zbl 0339.76039
van Leer, Bram
116
1977
On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher and Roe. Zbl 0547.65065
van Leer, Bram
107
1984
High-order CFD methods: current status and perspective. Zbl 1455.76007
Wang, Z. J.; Fidkowski, Krzysztof; Abgrall, Rémi; Bassi, Francesco; Caraeni, Doru; Cary, Andrew; Deconinck, Herman; Hartmann, Ralf; Hillewaert, Koen; Huynh, H. T.; Kroll, Norbert; May, Georg; Persson, Per-Olof; van Leer, Bram; Visbal, Miguel
82
2013
Towards the ultimative conservative difference scheme. V: A second-order sequel to Godunov’s method. Zbl 0939.76063
van Leer, Bram
54
1997
Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049
van Leer, B.
43
2006
Experiments with implicit upwind methods for the Euler equations. Zbl 0584.76014
Mulder, Wim A.; van Leer, Bram
42
1985
Towards the ultimate conservative difference scheme. I: The quest of monotonicity. Zbl 0255.76064
van Leer, Bram
30
1973
Splitting of inviscid fluxes for real gases. Zbl 0687.76074
Liou, Meng-Sing; van Leer, Bram; Shuen, Jian-Shun
29
1990
High-order finite-volume methods for the shallow-water equations on the sphere. Zbl 1425.76168
Ullrich, Paul A.; Jablonowski, Christiane; van Leer, Bram
27
2010
A quasi-steady-state solver for the stiff ordinary differential equations of reaction kinetics. Zbl 0967.65083
Mott, David R.; Oran, Elaine S.; van Leer, Bram
22
2000
Use of a rotated Riemann solver for the two-dimensional Euler equations. Zbl 0770.76046
Levy, David W.; Powell, Kenneth G.; van Leer, Bram
22
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
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
Bilinear forms for the recovery-based discontinuous Galerkin method for diffusion. Zbl 1364.65261
van Raalte, Marc; van Leer, Bram
16
2009
Local preconditioning: Manipulating mother nature to fool father time. Zbl 0988.76059
Darmofal, David L.; van Leer, Bram
15
1998
Inviscid flux-splitting algorithms for real gases with non-equilibrium chemistry. Zbl 0701.76076
Shuen, Jian-Shun; Liou, Meng-Sing; van Leer, Bram
14
1990
Riemann-problem and level-set approaches for homentropic two-fluid flow computations. Zbl 1178.76281
Koren, B.; Lewis, M. R.; van Brummelen, E. H.; van Leer, B.
14
2002
Flux vector splitting and Runge-Kutta methods for the Euler equations. Zbl 0555.76014
Turkel, Eli; van Leer, Bram
13
1985
A historical oversight: Vladimir P. Kolgan and his high-resolution scheme. Zbl 1316.65001
van Leer, Bram
13
2011
Upwind and high-resolution schemes. Zbl 0877.76002
11
1997
Upwind-difference methods for aerodynamic problems governed by the Euler equations. Zbl 0582.76065
van Leer, Bram
10
1985
Space-time methods for hyperbolic conservation laws. Zbl 0947.76055
Lowrie, Robert B.; Roe, Philip L.; van Leer, Bram
10
1998
Multidimensional explicit difference schemes for hyperbolic conservation laws. Zbl 0565.65052
van Leer, Bram
8
1984
Analysis of preconditioning and multigrid for Euler flows with low- subsonic regions. Zbl 0827.76059
Koren, B.; van Leer, B.
7
1995
Choice of implicit and explicit operators for the upwind differencing method. Zbl 0850.76426
Liou, Meng-Sing; van Leer, Bram
7
1988
A minimax problem along the imaginary axis. Zbl 0571.65062
Sonneveld, P.; van Leer, B.
6
1985
Upwind differencing for hyperbolic systems of conservation laws. Zbl 0467.76075
van Leer, B.
6
1980
Stabilization of difference schemes for the equations of inviscid compressible flow by artificial diffusion. Zbl 0167.25101
van Leer, B.
6
1969
Relaxation methods for hyperbolic conservation laws. Zbl 0621.65127
van Leer, Bram; Mulder, William A.
5
1985
Numerical simulation of compressible Euler flows. Proceedings of the GAMM workshop, held at INRIA, Rocquencourt (France), on June 10-13, 1986. Zbl 0696.76004
4
1989
Steady Euler solutions in \(O(N)\) operations. Zbl 0986.76075
van Leer, Bram; Darmofal, David
4
2000
Optimal multistage schemes for Euler equations with residual smoothing. Zbl 0845.76062
Tai, Chang-Hsien; Sheu, Jiann-Hwa; van Leer, Bram
4
1995
An introduction to the article “Reminiscences about difference schemes” by S. K. Godunov. Zbl 0936.65105
van Leer, Bram
3
1999
CFD by first-order PDEs. Zbl 1184.76756
Suzuki, Yoshifumi; Khieu, Loc; van Leer, Bram
2
2009
An Osher-type and level-set scheme for two-fluid flow computations. Zbl 1177.76289
Koren, Barry; Lewis, Mervyn; van Brummelen, Harald; van Leer, Bram
2
2002
On numerical dispersion by upwind differencing. Zbl 0619.65078
van Leer, Bram
1
1986
Multigrid Euler solutions with semi-coarsening and local preconditioning. Zbl 0861.76053
Lynn, John F.; van Leer, Bram
1
1995
A venerable family of discontinuous Galerkin schemes for diffusion revisited. Zbl 1358.76052
van Leer, Bram; Lo, Marcus; Gitik, Rita; Nomura, Shohei
1
2011
Optimal multigrid convergence by elliptic/hyperbolic splitting. Zbl 1027.65132
Nishikawa, Hiroaki; van Leer, Bram
1
2003
High-order CFD methods: current status and perspective. Zbl 1455.76007
Wang, Z. J.; Fidkowski, Krzysztof; Abgrall, Rémi; Bassi, Francesco; Caraeni, Doru; Cary, Andrew; Deconinck, Herman; Hartmann, Ralf; Hillewaert, Koen; Huynh, H. T.; Kroll, Norbert; May, Georg; Persson, Per-Olof; van Leer, Bram; Visbal, Miguel
82
2013
A historical oversight: Vladimir P. Kolgan and his high-resolution scheme. Zbl 1316.65001
van Leer, Bram
13
2011
A venerable family of discontinuous Galerkin schemes for diffusion revisited. Zbl 1358.76052
van Leer, Bram; Lo, Marcus; Gitik, Rita; Nomura, Shohei
1
2011
High-order finite-volume methods for the shallow-water equations on the sphere. Zbl 1425.76168
Ullrich, Paul A.; Jablonowski, Christiane; van Leer, Bram
27
2010
Bilinear forms for the recovery-based discontinuous Galerkin method for diffusion. Zbl 1364.65261
van Raalte, Marc; van Leer, Bram
16
2009
CFD by first-order PDEs. Zbl 1184.76756
Suzuki, Yoshifumi; Khieu, Loc; van Leer, Bram
2
2009
Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049
van Leer, B.
43
2006
Optimal multigrid convergence by elliptic/hyperbolic splitting. Zbl 1027.65132
Nishikawa, Hiroaki; van Leer, Bram
1
2003
Riemann-problem and level-set approaches for homentropic two-fluid flow computations. Zbl 1178.76281
Koren, B.; Lewis, M. R.; van Brummelen, E. H.; van Leer, B.
14
2002
An Osher-type and level-set scheme for two-fluid flow computations. Zbl 1177.76289
Koren, Barry; Lewis, Mervyn; van Brummelen, Harald; van Leer, Bram
2
2002
A quasi-steady-state solver for the stiff ordinary differential equations of reaction kinetics. Zbl 0967.65083
Mott, David R.; Oran, Elaine S.; van Leer, Bram
22
2000
Steady Euler solutions in \(O(N)\) operations. Zbl 0986.76075
van Leer, Bram; Darmofal, David
4
2000
An introduction to the article “Reminiscences about difference schemes” by S. K. Godunov. Zbl 0936.65105
van Leer, Bram
3
1999
Local preconditioning: Manipulating mother nature to fool father time. Zbl 0988.76059
Darmofal, David L.; van Leer, Bram
15
1998
Space-time methods for hyperbolic conservation laws. Zbl 0947.76055
Lowrie, Robert B.; Roe, Philip L.; van Leer, Bram
10
1998
Towards the ultimative conservative difference scheme. V: A second-order sequel to Godunov’s method. Zbl 0939.76063
van Leer, Bram
54
1997
Upwind and high-resolution schemes. Zbl 0877.76002
11
1997
Analysis of preconditioning and multigrid for Euler flows with low- subsonic regions. Zbl 0827.76059
Koren, B.; van Leer, B.
7
1995
Optimal multistage schemes for Euler equations with residual smoothing. Zbl 0845.76062
Tai, Chang-Hsien; Sheu, Jiann-Hwa; van Leer, Bram
4
1995
Multigrid Euler solutions with semi-coarsening and local preconditioning. Zbl 0861.76053
Lynn, John F.; van Leer, Bram
1
1995
Use of a rotated Riemann solver for the two-dimensional Euler equations. Zbl 0770.76046
Levy, David W.; Powell, Kenneth G.; van Leer, Bram
22
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
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
Splitting of inviscid fluxes for real gases. Zbl 0687.76074
Liou, Meng-Sing; van Leer, Bram; Shuen, Jian-Shun
29
1990
Inviscid flux-splitting algorithms for real gases with non-equilibrium chemistry. Zbl 0701.76076
Shuen, Jian-Shun; Liou, Meng-Sing; van Leer, Bram
14
1990
Numerical simulation of compressible Euler flows. Proceedings of the GAMM workshop, held at INRIA, Rocquencourt (France), on June 10-13, 1986. Zbl 0696.76004
4
1989
Choice of implicit and explicit operators for the upwind differencing method. Zbl 0850.76426
Liou, Meng-Sing; van Leer, Bram
7
1988
On numerical dispersion by upwind differencing. Zbl 0619.65078
van Leer, Bram
1
1986
Experiments with implicit upwind methods for the Euler equations. Zbl 0584.76014
Mulder, Wim A.; van Leer, Bram
42
1985
Flux vector splitting and Runge-Kutta methods for the Euler equations. Zbl 0555.76014
Turkel, Eli; van Leer, Bram
13
1985
Upwind-difference methods for aerodynamic problems governed by the Euler equations. Zbl 0582.76065
van Leer, Bram
10
1985
A minimax problem along the imaginary axis. Zbl 0571.65062
Sonneveld, P.; van Leer, B.
6
1985
Relaxation methods for hyperbolic conservation laws. Zbl 0621.65127
van Leer, Bram; Mulder, William A.
5
1985
On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher and Roe. Zbl 0547.65065
van Leer, Bram
107
1984
Multidimensional explicit difference schemes for hyperbolic conservation laws. Zbl 0565.65052
van Leer, Bram
8
1984
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051
Harten, Amiram; Lax, Peter D.; van Leer, Bram
717
1983
A comparative study of computational methods in cosmic gas dynamics. Zbl 0492.76117
van Albada, G. D.; van Leer, B.; Roberts, W. W. jun.
134
1982
Upwind differencing for hyperbolic systems of conservation laws. Zbl 0467.76075
van Leer, B.
6
1980
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. Zbl 1364.65223
van Leer, Bram
1979
Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056
van Leer, Bram
321
1977
Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow. Zbl 0339.76039
van Leer, Bram
116
1977
Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055
van Leer, Bram
341
1974
Towards the ultimate conservative difference scheme. I: The quest of monotonicity. Zbl 0255.76064
van Leer, Bram
30
1973
Stabilization of difference schemes for the equations of inviscid compressible flow by artificial diffusion. Zbl 0167.25101
van Leer, B.
6
1969
all top 5

Cited by 3,980 Authors

44 Dumbser, Michael
40 Kurganov, Alexander
34 Toro, Eleuterio F.
30 Berthon, Christophe
25 Xu, Kun
24 Xiao, Feng
23 Castro, Manuel J.
23 Shu, Chi-Wang
21 Balsara, Dinshaw S.
21 Farhat, Charbel H.
21 Saurel, Richard
20 Liu, Tiegang
19 Chalons, Christophe
19 Munz, Claus-Dieter
18 Chertock, Alina E.
17 Drikakis, Dimitris
16 Loubère, Raphaël
16 Parés Madroñal, Carlos
15 Benson, David J.
14 Clain, Stéphane Louis
14 Li, Jiequan
13 Groth, Clinton P. T.
13 Guardone, Alberto
13 Kitamura, Keiichi
13 Liang, Qiuhua
13 Luo, Hong
13 Schröder, Wolfgang Armin
13 Tang, Huazhong
13 Titarev, Vladimir A.
12 Abgrall, Rémi
12 Capdeville, Guy
12 Löhner, Rainald
12 Meinke, Matthias
12 Nkonga, Boniface
12 Ostapenko, Vladimir Viktorovich
12 Rider, William J.
12 Yan, Chao
11 Coquel, Frédéric
11 Deng, Xiaogang
11 Gaitonde, Datta V.
11 Gassner, Gregor J.
11 Jiang, Song
11 Khoo, Boo Cheong
11 Murillo, Javier
11 Roe, Philip L.
11 Shu, Chang
10 Boscheri, Walter
10 Colella, Phillip
10 Dervieux, Alain
10 Klingenberg, Christian
10 Nishikawa, Hiroaki
10 Qu, Feng
10 Seguin, Nicolas
10 Sun, Di
10 van Leer, Bram
9 Dubroca, Bruno
9 Gavrilyuk, Sergey L.
9 Guinot, Vincent
9 Jameson, Antony
9 Klein, Rupert
9 Kovyrkina, Olyana A.
9 Tian, Baolin
9 Touma, Rony
9 Turpault, Rodolphe
9 Vázquez-Cendón, María Elena
8 Colominas, Ignasi
8 Congedo, Pietro Marco
8 Croisille, Jean-Pierre
8 Deng, Xi
8 Edwards, Michael G.
8 Foucher, Françoise
8 Garcia-Navarro, Pilar
8 Helluy, Philippe
8 Hérard, Jean-Marc
8 Karni, Smadar
8 Kesserwani, Georges
8 LeFloch, Philippe Gerard
8 Smith, Matthew R.
8 Tadmor, Eitan
8 Woodward, Paul R.
8 Xie, Bin
8 Youngs, David L.
7 Barsukow, Wasilij
7 Baum, Joseph D.
7 Bürger, Raimund
7 Causon, D. M.
7 Chandrashekar, Praveen
7 Daniel, Eric
7 Gallouët, Thierry
7 Ghidaglia, Jean-Michel
7 Guillard, Hervé
7 He, Zhiwei
7 Kim, Chongam
7 Koleva, Miglena Nikolaeva
7 Koobus, Bruno
7 Liu, Huayong
7 Liu, Yingjie
7 Maire, Pierre-Henri
7 Mandal, Jadav Chandra
7 Mao, Meiliang
...and 3,880 more Authors
all top 5

Cited in 185 Serials

828 Journal of Computational Physics
417 Computers and Fluids
109 Computer Methods in Applied Mechanics and Engineering
108 Journal of Scientific Computing
98 International Journal for Numerical Methods in Fluids
63 Applied Mathematics and Computation
59 Applied Numerical Mathematics
57 International Journal of Computational Fluid Dynamics
56 Journal of Fluid Mechanics
55 Computers & Mathematics with Applications
46 Journal of Computational and Applied Mathematics
33 Applied Mathematical Modelling
33 SIAM Journal on Scientific Computing
33 Communications in Computational Physics
32 Mathematics of Computation
28 International Journal for Numerical Methods in Engineering
22 Physics of Fluids
22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
21 European Journal of Mechanics. B. Fluids
18 Numerical Methods for Partial Differential Equations
17 International Journal of Numerical Methods for Heat & Fluid Flow
16 Computer Physics Communications
16 Numerische Mathematik
16 Computational Mathematics and Mathematical Physics
16 Advances in Applied Mathematics and Mechanics
15 Computational Mechanics
15 Matematicheskoe Modelirovanie
14 International Journal of Computational Methods
12 Shock Waves
12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
12 Combustion Theory and Modelling
11 SIAM Journal on Numerical Analysis
11 International Journal of Computer Mathematics
11 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
11 Archives of Computational Methods in Engineering
10 International Journal of Heat and Mass Transfer
10 Computational Geosciences
9 Communications in Numerical Methods in Engineering
9 Flow, Turbulence and Combustion
8 Acta Mechanica
8 Mathematics and Computers in Simulation
8 RAIRO. Modélisation Mathématique et Analyse Numérique
8 Advances in Computational Mathematics
8 Mathematical Problems in Engineering
8 International Journal on Finite Volumes
7 Classical and Quantum Gravity
7 Mathematical Methods in the Applied Sciences
7 Physica D
7 Mathematical and Computer Modelling
6 Theoretical and Computational Fluid Dynamics
6 Doklady Mathematics
6 Journal of Hyperbolic Differential Equations
6 AMM. Applied Mathematics and Mechanics. (English Edition)
6 Communications on Applied Mathematics and Computation
5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
5 Applied Mathematics Letters
5 Russian Journal of Numerical Analysis and Mathematical Modelling
5 International Journal of Modern Physics C
5 Journal of Turbulence
4 Acta Applicandae Mathematicae
4 Continuum Mechanics and Thermodynamics
4 Computational and Applied Mathematics
4 Communications in Nonlinear Science and Numerical Simulation
4 Engineering Computations
4 Living Reviews in Relativity
4 Bulletin of the Brazilian Mathematical Society. New Series
4 Multiscale Modeling & Simulation
4 International Journal of Applied and Computational Mathematics
4 SMAI Journal of Computational Mathematics
3 Journal of Statistical Physics
3 Wave Motion
3 Calcolo
3 Computational Mathematics and Modeling
3 Numerical Algorithms
3 Engineering Analysis with Boundary Elements
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
3 International Journal of Nonlinear Sciences and Numerical Simulation
3 Journal of Applied Mathematics
3 Acta Numerica
3 Communications in Applied Mathematics and Computational Science
3 Networks and Heterogeneous Media
3 SIAM/ASA Journal on Uncertainty Quantification
3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Applicable Analysis
2 Astrophysics and Space Science
2 Geophysical and Astrophysical Fluid Dynamics
2 Journal of Mathematical Physics
2 Transport Theory and Statistical Physics
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Physics of Fluids, A
2 Bulletin of Mathematical Biology
2 Journal of Optimization Theory and Applications
2 Applied Mathematics and Mechanics. (English Edition)
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Communications in Applied Numerical Methods
2 Archive of Applied Mechanics
2 Journal of Nonlinear Science
2 Computing and Visualization in Science
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
...and 85 more Serials
all top 5

Cited in 41 Fields

2,167 Fluid mechanics (76-XX)
1,419 Numerical analysis (65-XX)
674 Partial differential equations (35-XX)
120 Classical thermodynamics, heat transfer (80-XX)
115 Mechanics of deformable solids (74-XX)
104 Geophysics (86-XX)
70 Statistical mechanics, structure of matter (82-XX)
46 Biology and other natural sciences (92-XX)
37 Optics, electromagnetic theory (78-XX)
33 Astronomy and astrophysics (85-XX)
25 Operations research, mathematical programming (90-XX)
19 Relativity and gravitational theory (83-XX)
16 Ordinary differential equations (34-XX)
15 Computer science (68-XX)
13 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
11 Integral equations (45-XX)
10 Approximations and expansions (41-XX)
9 Dynamical systems and ergodic theory (37-XX)
8 Probability theory and stochastic processes (60-XX)
8 Systems theory; control (93-XX)
7 Mechanics of particles and systems (70-XX)
5 History and biography (01-XX)
5 Global analysis, analysis on manifolds (58-XX)
5 Quantum theory (81-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
3 General and overarching topics; collections (00-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
2 Real functions (26-XX)
2 Special functions (33-XX)
2 Statistics (62-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Difference and functional equations (39-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Information and communication theory, circuits (94-XX)
1 Mathematics education (97-XX)

Citations by Year

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