# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 31 Publications since 1964
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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 F.
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

27 Publications have been cited 776 times in 499 Documents Cited by Year
Multicomponent flow calculations by a consistent primitive algorithm. Zbl 0811.76044
1994
Computations of compressible multifluids. Zbl 1033.76029
2001
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
A hybrid algorithm for the Baer-Nunziato model using the Riemann invariants. Zbl 1203.76146
2010
Far-field filtering operators for suppression of reflections from artificial boundaries. Zbl 0866.65060
1996
Local error analysis for approximate solutions of hyperbolic conservation laws. Zbl 1127.65070
2005
Interface tracking method for compressible multifluids. Zbl 1232.76030
Chertock, Alina; Karni, Smadar; Kurganov, Alexander
2008
Compressible two-phase flows by central and upwind schemes. Zbl 1079.76045
Karni, Smadar; Kirr, Eduard; Kurganov, Alexander; Petrova, Guergana
2004
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
Water wave propagation in unbounded domains. part I: nonreflecting boundaries. Zbl 1349.76031
Jennings, G. I.; Karni, S.; Rauch, J. B.
2014
A second order kinetic scheme for gas dynamics on arbitrary grids. Zbl 1087.76088
2005
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 new level-set model for the representation of non-smooth geometries. Zbl 1307.65113
Starinshak, David P.; Karni, Smadar; Roe, Philip L.
2014
A level-set capturing scheme for compressible interfaces. Zbl 0952.76058
1998
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
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 808 Authors

 14 Karni, Smadar 14 Saurel, Richard 12 Khoo, Boo Cheong 12 Liu, Tiegang 11 Kurganov, Alexander 9 Abgrall, Rémi 9 Dumbser, Michael 9 Gavrilyuk, Sergey L. 9 Mai Duc Thanh 9 Shyue, Keh-Ming 8 Fedkiw, Ronald P. 8 Jiang, Song 8 Terashima, Hiroshi 7 Adams, Nikolaus A. 7 Favrie, Nicolas 7 Tian, Baolin 6 Berthon, Christophe 6 Chalons, Christophe 6 Coquel, Frédéric 6 Qamar, Shamsul 6 Shu, Chi-Wang 5 Helluy, Philippe 5 Hérard, Jean-Marc 5 Koren, Barry 5 LeVeque, Randall J. 5 Ni, Guoxi 5 Petitpas, Fabien 5 Xu, Kun 4 Breil, Jérôme 4 Brull, Stephane 4 Castro-Díaz, Manuel Jesús 4 Colonius, Tim 4 Cuong, Dao Huy 4 Farhat, Charbel H. 4 Franquet, Erwin 4 Hernández-Dueñas, Gerardo 4 Kawai, Soshi 4 Li, Gang 4 Main, Alex 4 Morales de Luna, Tomás 4 Müller, Siegfried 4 Munkejord, Svend Tollak 4 Osher, Stanley Joel 4 Parés Madroñal, Carlos 4 Pelanti, Marica 4 Raviart, Pierre-Arnaud 4 Seaïd, Mohammed 4 Seguin, Nicolas 4 Shahbazi, Khosro 4 Shashkov, Mikhail J. 4 Wang, Chunwu 4 Zhu, Jun 3 Alazard, Thomas 3 Ambroso, Annalisa 3 Anderson, Mark H. 3 Banks, Jeffrey W. 3 Billet, Germain 3 Bonazza, Riccardo 3 Cai, Li 3 Chen, Yibing 3 Daniel, Eric 3 Daude, Frédéric 3 Donat, Rosa 3 Dubroca, Bruno 3 Feng, Jianhu 3 Fernández-Nieto, Enrique Domingo 3 Fujii, Kozo 3 Galera, Stéphane 3 Galon, Pascal 3 Godlewski, Edwige 3 He, Zhiwei 3 Henshaw, William D. 3 Ihme, Matthias 3 Izem, Nouh 3 Kokh, Samuel 3 Koshi, Mitsuo 3 Krivodonova, Lilia 3 Le Metayer, Olivier 3 Lv, Yu 3 Maire, Pierre-Henri 3 Martinez-Gavara, Anna 3 Mohammadian, Abdolmajid M. 3 Munz, Claus-Dieter 3 Nkonga, Boniface 3 Nonomura, Taku 3 Oakley, Jason G. 3 Pantano, Carlos 3 Perrier, Vincent 3 Prestridge, Kathy P. 3 Qiu, Jianxian 3 Rauch, Jeffrey B. 3 Roe, Philip L. 3 Ryan, Juliette 3 Scovazzi, Guglielmo 3 Shu, Chang 3 Tang, Huazhong 3 Theofanous, Theo G. 3 Toro, Eleuterio F. 3 Wakrim, Mohamed 3 Wang, Shuanghu ...and 708 more Authors
all top 5

#### Cited in 82 Serials

 198 Journal of Computational Physics 60 Computers and Fluids 28 Journal of Scientific Computing 17 Journal of Fluid Mechanics 16 Applied Numerical Mathematics 12 Physics of Fluids 11 International Journal for Numerical Methods in Fluids 11 Applied Mathematics and Computation 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Computer Methods in Applied Mechanics and Engineering 6 SIAM Journal on Scientific Computing 5 Computers & Mathematics with Applications 5 International Journal of Computational Fluid Dynamics 4 Mathematics of Computation 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 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 Numerische Mathematik 2 Quarterly of Applied Mathematics 2 Physica D 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 SIAM Journal on Applied Mathematics 2 Continuum Mechanics and Thermodynamics 2 European Journal of Mechanics. B. Fluids 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Acta Mechanica Sinica 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 SIAM Journal on Numerical Analysis 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 Computational and Applied Mathematics 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 Combustion Theory and Modelling 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 Journal of Computational Acoustics 1 Kinetic and Related Models 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 Results in Applied Mathematics
all top 5

#### Cited in 20 Fields

 436 Fluid mechanics (76-XX) 221 Numerical analysis (65-XX) 117 Partial differential equations (35-XX) 27 Mechanics of deformable solids (74-XX) 16 Classical thermodynamics, heat transfer (80-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Geophysics (86-XX) 6 Biology and other natural sciences (92-XX) 4 Optics, electromagnetic theory (78-XX) 3 Astronomy and astrophysics (85-XX) 3 Systems theory; control (93-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 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)