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Leonard, B. P.

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Author ID: leonard.b-p Recent zbMATH articles by "Leonard, B. P."
Published as: Leonard, B. P.
Documents Indexed: 20 Publications since 1977, including 1 Book

Publications by Year

Citations contained in zbMATH Open

18 Publications have been cited 736 times in 605 Documents Cited by Year
A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Zbl 0423.76070
Leonard, B. P.
456
1979
The ULTIMATE conservative difference scheme applied to unsteady one- dimensional advection. Zbl 0746.76067
Leonard, B. P.
103
1991
Simple high-accuracy resolution program for convective modelling of discontinuities. Zbl 0667.76125
Leonard, B. P.
81
1988
Why you should not use “hybrid”, “power-law” or related exponential schemes for convective modelling – There are much better alternatives. Zbl 0848.76048
Leonard, B. P.; Drummond, J. E.
20
1995
The NIRVANA scheme applied to one-dimensional advection. Zbl 0849.76063
Leonard, B. P.; Lock, A. P.; Macvean, M. K.
17
1995
A survey of finite differences of opinion on numerical muddling of the incomprehensible defective confusion equation. Zbl 0435.76003
Leonard, B. P.
17
1979
Sharp monotonic resolution of discontinuities without clipping of narrow extrema. Zbl 0721.76060
Leonard, B. P.; Niknafs, H. S.
11
1991
Note on the von Neumann stability of the explicit FTCS convective diffusion equation. Zbl 0443.76049
Leonard, B. P.
6
1980
The flux integral method for multidimensional convection and diffusion. Zbl 0847.76053
Leonard, B. P.; MacVean, M. K.; Lock, A. P.
4
1995
Note on the von Neumann stability of explicit one-dimensional advection schemes. Zbl 0848.76061
Leonard, B. P.
4
1994
Comparison of truncation error of finite-difference and finite-volume formulations of convection terms. Zbl 0798.76053
Leonard, B. P.
4
1994
Third-order upwinding as a rational basis for computational fluid dynamics. Zbl 0558.76003
Leonard, B. P.
3
1984
News-flash: Upstream parabolic interpolation. Zbl 0368.76081
Leonard, B. P.
3
1977
Sharp simulation of discontinuities in highly convective steady flow. Zbl 0632.76099
Leonard, B. P.
2
1987
A consistency check for estimating truncation error due to upstream differencing. Zbl 0391.76005
Leonard, B. P.
2
1978
Stability of explicit advection schemes. The balance point location rule. Zbl 1066.76045
Leonard, B. P.
1
2002
A convectively stable, third-order accurate finite-difference method for steady two-dimensional flow and heat transfer. Zbl 0515.76032
Leonard, B. P.
1
1983
A stable, accurate, economical, and comprehendible algorithm for the Navier-Stokes and scalar transport equations. Zbl 0484.76029
Leonard, B. P.
1
1981
Stability of explicit advection schemes. The balance point location rule. Zbl 1066.76045
Leonard, B. P.
1
2002
Why you should not use “hybrid”, “power-law” or related exponential schemes for convective modelling – There are much better alternatives. Zbl 0848.76048
Leonard, B. P.; Drummond, J. E.
20
1995
The NIRVANA scheme applied to one-dimensional advection. Zbl 0849.76063
Leonard, B. P.; Lock, A. P.; Macvean, M. K.
17
1995
The flux integral method for multidimensional convection and diffusion. Zbl 0847.76053
Leonard, B. P.; MacVean, M. K.; Lock, A. P.
4
1995
Note on the von Neumann stability of explicit one-dimensional advection schemes. Zbl 0848.76061
Leonard, B. P.
4
1994
Comparison of truncation error of finite-difference and finite-volume formulations of convection terms. Zbl 0798.76053
Leonard, B. P.
4
1994
The ULTIMATE conservative difference scheme applied to unsteady one- dimensional advection. Zbl 0746.76067
Leonard, B. P.
103
1991
Sharp monotonic resolution of discontinuities without clipping of narrow extrema. Zbl 0721.76060
Leonard, B. P.; Niknafs, H. S.
11
1991
Simple high-accuracy resolution program for convective modelling of discontinuities. Zbl 0667.76125
Leonard, B. P.
81
1988
Sharp simulation of discontinuities in highly convective steady flow. Zbl 0632.76099
Leonard, B. P.
2
1987
Third-order upwinding as a rational basis for computational fluid dynamics. Zbl 0558.76003
Leonard, B. P.
3
1984
A convectively stable, third-order accurate finite-difference method for steady two-dimensional flow and heat transfer. Zbl 0515.76032
Leonard, B. P.
1
1983
A stable, accurate, economical, and comprehendible algorithm for the Navier-Stokes and scalar transport equations. Zbl 0484.76029
Leonard, B. P.
1
1981
Note on the von Neumann stability of the explicit FTCS convective diffusion equation. Zbl 0443.76049
Leonard, B. P.
6
1980
A stable and accurate convective modelling procedure based on quadratic upstream interpolation. Zbl 0423.76070
Leonard, B. P.
456
1979
A survey of finite differences of opinion on numerical muddling of the incomprehensible defective confusion equation. Zbl 0435.76003
Leonard, B. P.
17
1979
A consistency check for estimating truncation error due to upstream differencing. Zbl 0391.76005
Leonard, B. P.
2
1978
News-flash: Upstream parabolic interpolation. Zbl 0368.76081
Leonard, B. P.
3
1977
all top 5

Cited by 1,243 Authors

15 Sheu, Tony Wen-Hann
10 Leschziner, Michael A.
8 Ferreira, Valdemir G.
8 Tsai, Shuen-Chich
7 Chiang, T. P.
7 Knoll, Dana A.
7 Leonard, B. P.
7 Sousa, Ercília
6 Akhtar, Imran
6 Pain, Christopher C.
6 Visonneau, Michel
5 Blanquart, Guillaume
5 Castelo, Antonio
5 Chou, Yi-Ju
5 Cuminato, José Alberto
5 Fernandes Pereira, José Carlos
5 Kurokawa, Fernando A.
5 Lien, Fue-Sang
5 Minakov, Andreĭ V.
5 Mohamad, Abdulmajeed A.
4 Armfield, Steve W.
4 Barron, Ronald M.
4 Borggaard, Jeff T.
4 Chacón, Luis
4 Darwish, M. S.
4 Deng, GanBo
4 Hwang, Robert R.
4 Lee, Joseph Hun-Wei
4 Manson, J. Russell
4 McKee, Sean
4 Mompean, Gilmar
4 Moukalled, F. H.
4 Oishi, Cassio M.
4 Pakhomov, M. A.
4 Piggott, Matthew D.
4 Rodi, William L.
4 Sheu, W. H.
4 Terekhov, V. I.
4 Tseng, Yu-Heng
4 Wallis, Steve G.
4 Xiao, Feng
4 Xie, Bin
4 Zijlema, Marcel
3 Ardekani, Arezoo M.
3 Bataille, Françoise
3 Chen, Guoqian
3 Chiu, Pao-Hsiung
3 Chu, Vincent H.
3 De Biase, Lucia
3 Dekterev, Aleksandr A.
3 Dupuy, Dorian
3 Durst, Franz
3 Emerson, David R.
3 Eswaran, Vinayak
3 Ferziger, Joel Henry
3 Fringer, Oliver B.
3 Gao, Wei
3 Goddard, A. J. H.
3 Gu, Xiaojun
3 Hung, Chen-Yen
3 Kaibara, Magda K.
3 Kirkpatrick, Michael Philip
3 Kobayashi, Marcelo Hissakiti
3 Koshizuka, Seiichi
3 Kurulin, Vadim Viktorovich
3 Launder, Brian E.
3 Lin, Chiang
3 Mousseau, Vincent A.
3 Muradoglu, Metin
3 Ouahsine, Abdellatif
3 Pascau, Antonio
3 Patterson, John C.
3 Pennati, Vincenzo
3 Perić, Milovan
3 Queutey, Patrick
3 Rizwan-uddin
3 Sakai, Katsuhiro
3 Sezai, I.
3 Stern, Fred
3 Taitano, William T.
3 Teruel, Federico E.
3 Tomé, Murilo F.
3 Toutant, Adrien
3 Tryggvason, Grétar
3 Xu, Hao
2 Abe, Kanji
2 Al-Rabeh, Ala H.
2 Alhumaizi, Khalid
2 Alves, Manuel A.
2 Arranz Carreño, Aurelio
2 Baker, Allen J.
2 Barton, I. E.
2 Ben Beya, Brahim
2 Ben Cheikh, Nader
2 Bennacer, Rachid
2 Bergeles, George C.
2 Bhattacharyya, Somnath
2 Bonet, Javier
2 Bortz, David M.
2 Breuer, Michael
...and 1,143 more Authors
all top 5

Cited in 69 Serials

100 Journal of Computational Physics
88 Computers and Fluids
61 International Journal for Numerical Methods in Fluids
51 Computer Methods in Applied Mechanics and Engineering
32 Journal of Fluid Mechanics
29 Applied Mathematical Modelling
22 International Journal of Numerical Methods for Heat & Fluid Flow
17 International Journal of Heat and Mass Transfer
17 Physics of Fluids
16 Applied Mathematics and Computation
12 International Journal of Computational Fluid Dynamics
11 Communications in Numerical Methods in Engineering
10 Journal of Computational and Applied Mathematics
8 Fluid Dynamics
7 Computers & Mathematics with Applications
7 Computational Mechanics
6 Journal of Scientific Computing
6 Communications in Nonlinear Science and Numerical Simulation
5 International Journal for Numerical Methods in Engineering
5 Journal of Non-Newtonian Fluid Mechanics
5 European Journal of Mechanics. B. Fluids
4 Acta Mechanica
4 Mathematics and Computers in Simulation
4 Computational Mathematics and Mathematical Physics
4 Mathematical Problems in Engineering
4 Combustion Theory and Modelling
3 Applied Numerical Mathematics
3 Numerical Methods for Partial Differential Equations
3 Mathematical and Computer Modelling
3 Flow, Turbulence and Combustion
3 Journal of Turbulence
2 Computer Physics Communications
2 International Journal of Computer Mathematics
2 Computational Geosciences
2 Engineering Computations
2 International Journal of Computational Methods
2 Acta Mechanica Sinica
2 Izvestiya. Atmospheric and Oceanic Physics
2 International Journal for Computational Methods in Engineering Science and Mechanics
2 International Journal for Numerical Methods in Biomedical Engineering
2 Journal of Siberian Federal University. Mathematics & Physics
1 International Journal of Control
1 Inverse Problems
1 Mathematical Methods in the Applied Sciences
1 Transport Theory and Statistical Physics
1 Physics of Fluids, A
1 Bulletin of Mathematical Biology
1 Theoretical and Computational Fluid Dynamics
1 Chaos, Solitons and Fractals
1 ACM Transactions on Mathematical Software
1 Communications in Applied Numerical Methods
1 Japan Journal of Industrial and Applied Mathematics
1 Numerical Algorithms
1 SIAM Journal on Applied Mathematics
1 SIAM Journal on Scientific Computing
1 Computational and Applied Mathematics
1 Engineering Analysis with Boundary Elements
1 Nonlinear Dynamics
1 Abstract and Applied Analysis
1 International Journal of Modern Physics C
1 The ANZIAM Journal
1 Archives of Computational Methods in Engineering
1 Journal of Applied Mathematics
1 Journal of Applied Mathematics and Computing
1 Computational & Mathematical Methods in Medicine
1 GEM - International Journal on Geomathematics
1 Journal of Theoretical Biology
1 Journal of Function Spaces
1 Nonlinear Analysis. Theory, Methods & Applications

Citations by Year