Compute Distance To:
 Documents Indexed: 31 Publications since 1964 Co-Authors: 18 Co-Authors with 21 Joint Publications 495 Co-Co-Authors
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### Co-Authors

 8 single-authored 5 Abgrall, Rémi 4 Kurganov, Alexander 3 Hernández-Dueñas, Gerardo 3 Jennings, G. I. 3 Rauch, Jeffrey B. 3 Roe, Philip L. 2 Balbás, Jorge 2 Petrova, Guergana 2 Quirk, James J. 2 Starinshak, David P. 1 Ahmed, Nasir 1 Čanić, Sunčica 1 Carney, Sean P. 1 Chertock, Alina E. 1 Clarke, John F. 1 Kirr, Eduard 1 Prigge, D. 1 Simmonds, L. G. 1 Toro, Eleuterio Francisco
all top 5

### Serials

 10 Journal of Computational Physics 4 Journal of Scientific Computing 2 International Journal for Numerical Methods in Fluids 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Fluid Mechanics 1 Advances in Computational Mathematics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Journal of Mathematics and Physics 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series

### Fields

 26 Fluid mechanics (76-XX) 15 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 1 Real functions (26-XX) 1 Mechanics of deformable solids (74-XX)

### Citations contained in zbMATH Open

28 Publications have been cited 901 times in 584 Documents Cited by Year
Computations of compressible multifluids. Zbl 1033.76029
2001
Multicomponent flow calculations by a consistent primitive algorithm. Zbl 0811.76044
1994
On the dynamics of a shock-bubble interaction. Zbl 0877.76046
Quirk, James J.; Karni, S.
1996
Hybrid multifluid algorithms. Zbl 0860.76056
1996
A comment on the computation of non-conservative products. Zbl 1188.65134
2010
Two-layer shallow water system: a relaxation approach. Zbl 1188.76229
2009
A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092
Karni, Smadar; Kurganov, Alexander; Petrova, Guergana
2002
Computations of slowly moving shocks. Zbl 0910.76044
1997
Viscous shock profiles and primitive formulations. Zbl 0764.76032
Karni, S.
1992
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.
1993
Interface tracking method for compressible multifluids. Zbl 1232.76030
Chertock, Alina; Karni, Smadar; Kurganov, Alexander
2008
A hybrid algorithm for the Baer-Nunziato model using the Riemann invariants. Zbl 1203.76146
2010
Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070
2005
Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045
Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana
2004
Far-field filtering operators for suppression of reflections from artificial boundaries. Zbl 0866.65060
1996
A central scheme for shallow water flows along channels with irregular geometry. Zbl 1159.76026
2009
A new level set model for multimaterial flows. Zbl 1349.76647
Starinshak, David P.; Karni, Smadar; Roe, Philip L.
2014
Shallow water flows in channels. Zbl 1426.76377
2011
Water wave propagation in unbounded domains. II: Numerical methods for fractional PDEs. Zbl 1349.76343
Jennings, G. I.; Prigge, D.; Carney, S.; Karni, S.; Rauch, J. B.; Abgrall, R.
2014
To the boundary and back - A numerical study. Zbl 0724.76071
Karni, S.
1991
A second order kinetic scheme for gas dynamics on arbitrary grids. Zbl 1087.76088
2005
Water wave propagation in unbounded domains. part I: nonreflecting boundaries. Zbl 1349.76031
Jennings, G. I.; Karni, S.; Rauch, J. B.
2014
A new level-set model for the representation of non-smooth geometries. Zbl 1307.65113
Starinshak, David P.; Karni, Smadar; Roe, Philip L.
2014
On the group velocity of symmetric and upwind numerical schemes. Zbl 0917.76050
1994
A relaxation scheme for the two-layer shallow water system. Zbl 1369.76030
Abgrall, R.; Karni, S.
2008
A level-set capturing scheme for compressible interfaces. Zbl 0952.76058
1998
A non-oscillatory central scheme for one-dimensional two-layer shallow water flows along channels with varying width. Zbl 1266.76039
2013
The one way linearized water wave equations. Zbl 1322.35115
Jennings, G. I.; Karni, S.; Rauch, J.
2015
The one way linearized water wave equations. Zbl 1322.35115
Jennings, G. I.; Karni, S.; Rauch, J.
2015
A new level set model for multimaterial flows. Zbl 1349.76647
Starinshak, David P.; Karni, Smadar; Roe, Philip L.
2014
Water wave propagation in unbounded domains. II: Numerical methods for fractional PDEs. Zbl 1349.76343
Jennings, G. I.; Prigge, D.; Carney, S.; Karni, S.; Rauch, J. B.; Abgrall, R.
2014
Water wave propagation in unbounded domains. part I: nonreflecting boundaries. Zbl 1349.76031
Jennings, G. I.; Karni, S.; Rauch, J. B.
2014
A new level-set model for the representation of non-smooth geometries. Zbl 1307.65113
Starinshak, David P.; Karni, Smadar; Roe, Philip L.
2014
A non-oscillatory central scheme for one-dimensional two-layer shallow water flows along channels with varying width. Zbl 1266.76039
2013
Shallow water flows in channels. Zbl 1426.76377
2011
A comment on the computation of non-conservative products. Zbl 1188.65134
2010
A hybrid algorithm for the Baer-Nunziato model using the Riemann invariants. Zbl 1203.76146
2010
Two-layer shallow water system: a relaxation approach. Zbl 1188.76229
2009
A central scheme for shallow water flows along channels with irregular geometry. Zbl 1159.76026
2009
Interface tracking method for compressible multifluids. Zbl 1232.76030
Chertock, Alina; Karni, Smadar; Kurganov, Alexander
2008
A relaxation scheme for the two-layer shallow water system. Zbl 1369.76030
Abgrall, R.; Karni, S.
2008
Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070
2005
A second order kinetic scheme for gas dynamics on arbitrary grids. Zbl 1087.76088
2005
Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045
Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana
2004
A smoothness indicator for adaptive algorithms for hyperbolic systems. Zbl 0998.65092
Karni, Smadar; Kurganov, Alexander; Petrova, Guergana
2002
Computations of compressible multifluids. Zbl 1033.76029
2001
A level-set capturing scheme for compressible interfaces. Zbl 0952.76058
1998
Computations of slowly moving shocks. Zbl 0910.76044
1997
On the dynamics of a shock-bubble interaction. Zbl 0877.76046
Quirk, James J.; Karni, S.
1996
Hybrid multifluid algorithms. Zbl 0860.76056
1996
Far-field filtering operators for suppression of reflections from artificial boundaries. Zbl 0866.65060
1996
Multicomponent flow calculations by a consistent primitive algorithm. Zbl 0811.76044
1994
On the group velocity of symmetric and upwind numerical schemes. Zbl 0917.76050
1994
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.
1993
Viscous shock profiles and primitive formulations. Zbl 0764.76032
Karni, S.
1992
To the boundary and back - A numerical study. Zbl 0724.76071
Karni, S.
1991
all top 5

### Cited by 943 Authors

 15 Kurganov, Alexander 15 Liu, Tiegang 14 Karni, Smadar 14 Saurel, Richard 12 Khoo, Boo Cheong 11 Abgrall, Rémi 9 Chalons, Christophe 9 Dumbser, Michael 9 Gavrilyuk, Sergey L. 9 Mai Duc Thanh 9 Shyue, Keh-Ming 9 Tian, Baolin 8 Berthon, Christophe 8 Coquel, Frédéric 8 Fedkiw, Ronald P. 8 Jiang, Song 8 Terashima, Hiroshi 7 Adams, Nikolaus A. 7 Favrie, Nicolas 7 Shu, Chi-Wang 6 Brull, Stephane 6 Helluy, Philippe 6 Qamar, Shamsul 6 Qiu, Jianxian 6 Xu, Kun 5 Chen, Yibing 5 Hérard, Jean-Marc 5 Hernández-Dueñas, Gerardo 5 Koren, Barry 5 LeVeque, Randall J. 5 Li, Gang 5 Li, Li 5 Morales de Luna, Tomás 5 Müller, Siegfried 5 Ni, Guoxi 5 Parés Madroñal, Carlos 5 Petitpas, Fabien 5 Raviart, Pierre-Arnaud 5 Renac, Florent 5 Seaïd, Mohammed 5 Seguin, Nicolas 5 Shashkov, Mikhail J. 5 Wang, Chunwu 5 Zhu, Jun 4 Ambroso, Annalisa 4 Aregba-Driollet, Denise 4 Breil, Jérôme 4 Castro-Díaz, Manuel Jesús 4 Castro, Manuel J. 4 Chertock, Alina E. 4 Colonius, Tim 4 Cuong, Dao Huy 4 Farhat, Charbel H. 4 Franquet, Erwin 4 Godlewski, Edwige 4 He, Zhiwei 4 Jia, Zupeng 4 Kawai, Soshi 4 Main, Alex 4 Munkejord, Svend Tollak 4 Nkonga, Boniface 4 Osher, Stanley Joel 4 Pelanti, Marica 4 Qing, Fang 4 Shahbazi, Khosro 4 Tang, Huazhong 4 Wang, Shuanghu 4 Xu, Liang 4 Zhang, Yousheng 4 Zhao, Ning 3 Alazard, Thomas 3 Anderson, Mark H. 3 Balbás, Jorge 3 Banks, Jeffrey W. 3 Benkhaldoun, Fayssal 3 Billet, Germain 3 Bonazza, Riccardo 3 Cai, Li 3 Chen, Qian 3 Daniel, Eric 3 Daude, Frédéric 3 Deng, Xiaolong 3 Donat, Rosa 3 Dubroca, Bruno 3 Feng, Chengliang 3 Feng, Jianhu 3 Fernández-Nieto, Enrique Domingo 3 Fujii, Kozo 3 Galera, Stéphane 3 Galon, Pascal 3 Golay, Frédéric 3 Henshaw, William D. 3 Ihme, Matthias 3 Iollo, Angelo 3 Izem, Nouh 3 Koellermeier, Julian 3 Kokh, Samuel 3 Koshi, Mitsuo 3 Krivodonova, Lilia 3 Lagoutière, Frédéric ...and 843 more Authors
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### Cited in 91 Serials

 220 Journal of Computational Physics 68 Computers and Fluids 32 Journal of Scientific Computing 18 Journal of Fluid Mechanics 16 Applied Numerical Mathematics 15 Communications in Computational Physics 14 Applied Mathematics and Computation 14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 12 Physics of Fluids 11 International Journal for Numerical Methods in Fluids 9 Computer Methods in Applied Mechanics and Engineering 8 International Journal of Computational Fluid Dynamics 7 SIAM Journal on Scientific Computing 5 Computers & Mathematics with Applications 5 Mathematics of Computation 5 Advances in Applied Mathematics and Mechanics 5 International Journal on Finite Volumes 4 Shock Waves 4 Journal of Computational and Applied Mathematics 4 Applied Mathematical Modelling 4 International Journal of Computational Methods 3 Mathematics and Computers in Simulation 3 Numerische Mathematik 3 Applied Mathematics Letters 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Advances in Computational Mathematics 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Archives of Computational Methods in Engineering 2 Mathematical Methods in the Applied Sciences 2 Quarterly of Applied Mathematics 2 SIAM Journal on Numerical Analysis 2 Physica D 2 Numerical Methods for Partial Differential Equations 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Continuum Mechanics and Thermodynamics 2 Computational and Applied Mathematics 2 European Journal of Mechanics. B. Fluids 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Combustion Theory and Modelling 2 Acta Mechanica Sinica 2 Kinetic and Related Models 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Astrophysics and Space Science 1 Computer Physics Communications 1 International Journal of Heat and Mass Transfer 1 Journal of Engineering Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of the Mechanics and Physics of Solids 1 Nonlinearity 1 Theoretical and Computational Fluid Dynamics 1 Chaos, Solitons and Fractals 1 BIT 1 International Journal for Numerical Methods in Engineering 1 Acta Applicandae Mathematicae 1 Computational Mathematics and Mathematical Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Nonlinear Science 1 Advances in Engineering Software 1 Communications in Numerical Methods in Engineering 1 Engineering Analysis with Boundary Elements 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Journal of Applied Mechanics and Technical Physics 1 Flow, Turbulence and Combustion 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 International Journal of Modern Physics C 1 Journal of Turbulence 1 Mathematical Modelling and Analysis 1 Matematicheskoe Modelirovanie 1 Miscelánea Matemática 1 Sādhanā 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Central European Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 Journal of Computational Acoustics 1 Oberwolfach Reports 1 Networks and Heterogeneous Media 1 Numerical Mathematics: Theory, Methods and Applications 1 East Asian Journal on Applied Mathematics 1 Research in the Mathematical Sciences 1 Journal of Computational Methods in Physics 1 Annals of PDE 1 Séminaire Laurent Schwartz. EDP et Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Communications on Applied Mathematics and Computation 1 Results in Applied Mathematics
all top 5

### Cited in 21 Fields

 515 Fluid mechanics (76-XX) 273 Numerical analysis (65-XX) 148 Partial differential equations (35-XX) 32 Mechanics of deformable solids (74-XX) 18 Classical thermodynamics, heat transfer (80-XX) 15 Statistical mechanics, structure of matter (82-XX) 15 Geophysics (86-XX) 7 Biology and other natural sciences (92-XX) 4 Optics, electromagnetic theory (78-XX) 3 Probability theory and stochastic processes (60-XX) 3 Astronomy and astrophysics (85-XX) 3 Systems theory; control (93-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)