# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 173 Publications since 1975, including 6 Books Biographic References: 1 Publication
all top 5

#### Co-Authors

 34 single-authored 12 Mishra, Siddhartha 9 Goldberg, Moshe 8 Liu, Hailiang 7 Fjordholm, Ulrik Skre 7 Gottlieb, David I. 6 Shu, Chi-Wang 5 Gelb, Anne 5 Kurganov, Alexander 4 Barrett, Wayne W. 4 Brualdi, Richard Anthony 4 Liu, Yingjie 4 Lustman, Liviu 4 Perthame, Benoît 4 Shaked-Monderer, Naomi 4 Shvydkoy, Roman V. 4 Zhang, Mengping 3 Degond, Pierre 3 He, Siming 3 Levy, Doron 3 Lions, Pierre-Louis 3 Nessyahu, Haim 3 Tan, Changhui 3 Tang, Tao 3 Tanner, Jared W. 3 Tassa, Tamir 3 Wei, Dongming 3 Zhong, Weigang 2 Athavale, Prashant 2 Bae, Hantaek 2 Balbás, Jorge 2 Bellomo, Nicola 2 Biswas, Animikh 2 Cheng, Bin 2 Engelberg, Shlomo 2 Hou, Thomas Yizhao 2 Jiang, Guangshan 2 Lin, Chitien 2 Liu, Jianguo 2 Maday, Yvon 2 Motsch, Sébastien 2 Nezzar, Suzanne 2 Osher, Stanley Joel 2 Rascle, Michel 2 Shu, Ruiwen 2 Tzavaras, Athanasios E. 2 Vese, Luminita A. 2 Zwas, Gideon 1 Abarbanel, Saul S. 1 Bagnerini, Patrizia 1 Bardos, Claude Williams 1 Bhatoo, Omishwary 1 Carrillo de la Plata, José Antonio 1 Chae, Dongho 1 Chen, Gui-Qiang G. 1 Chertock, Alina E. 1 Choi, Young-Pil 1 Cockburn, Bernardo 1 Cui, Shumo 1 Du, Qiang 1 Duraisamy, Karthik 1 Fibich, Gadi 1 Friedland, Shmuel 1 Gess, Benjamin 1 Gill, Doron 1 Goodman, Jonathan B. 1 Gottlieb, Sigal 1 Gouasmi, Ayoub 1 Guo, Ben-Yu 1 Ha, Seung-Yeal 1 Johnson, C. S. jun. 1 Kaber, Sidi M. Ould 1 Käppeli, Roger 1 Karlsen, Kenneth Hvistendahl 1 Kupferman, Raz 1 Lin, Chien-Tai 1 Liu, Xudong 1 Lopes Filho, Milton da Costa 1 Lukáčová-Medvid’ová, Mária 1 Ma, Heping 1 Madrane, Aziz 1 Morales, Javier 1 Murman, Scott M. 1 Nussenzveig Lopes, Helena Judith 1 Özcan, Şeyma Nur 1 Peer, Arshad Ahmud Iqbal 1 Peszek, Jan 1 Piccoli, Benedetto 1 Quarteroni, Alfio M. 1 Saib, Aslam Aly El Faidal 1 Sauer, Jonas 1 Schochet, Steven H. 1 Tangman, Désiré Yannick 1 Tao, Terence 1 Waagan, Knut 1 Wu, Cheng-Chin 1 Zou, Jing
all top 5

#### Serials

 19 SIAM Journal on Numerical Analysis 12 Mathematics of Computation 9 Linear Algebra and its Applications 6 Journal of Computational Physics 6 SIAM Journal on Mathematical Analysis 5 Archive for Rational Mechanics and Analysis 5 Communications in Mathematical Sciences 4 Numerische Mathematik 4 Physica D 4 SIAM Review 4 SIAM Journal on Scientific Computing 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Communications in Mathematical Physics 3 Communications on Pure and Applied Mathematics 3 Foundations of Computational Mathematics 3 Acta Numerica 2 Journal of Mathematical Analysis and Applications 2 Journal of Statistical Physics 2 Nonlinearity 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Applied Numerical Mathematics 2 Discrete and Continuous Dynamical Systems 2 Journal of Hyperbolic Differential Equations 2 Proceedings of Symposia in Applied Mathematics 2 Communications in Computational Physics 2 Modeling and Simulation in Science, Engineering and Technology 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Numerical Analysis 1 Linear and Multilinear Algebra 1 Indiana University Mathematics Journal 1 SIAM Journal on Scientific and Statistical Computing 1 Numerical Methods for Partial Differential Equations 1 Journal of the American Mathematical Society 1 Journal of Scientific Computing 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Advances in Mathematical Sciences and Applications 1 Applied and Computational Harmonic Analysis 1 Mathematical Research Letters 1 Methods and Applications of Analysis 1 The Journal of Fourier Analysis and Applications 1 Vietnam Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the European Mathematical Society (JEMS) 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Multiscale Modeling & Simulation 1 Lecture Notes in Mathematics 1 Networks and Heterogeneous Media 1 Inverse Problems and Imaging 1 SIAM Journal on Imaging Sciences 1 Kinetic and Related Models 1 Analysis & PDE 1 Transactions of Mathematics and its Applications
all top 5

#### Fields

 124 Partial differential equations (35-XX) 107 Numerical analysis (65-XX) 45 Fluid mechanics (76-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 General and overarching topics; collections (00-XX) 9 Biology and other natural sciences (92-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 5 Computer science (68-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geophysics (86-XX) 2 Ordinary differential equations (34-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

153 Publications have been cited 5,233 times in 2,999 Documents Cited by Year
Strong stability-preserving high-order time discretization methods. Zbl 0967.65098
Gottlieb, Sigal; Shu, Chi-Wang; Tadmor, Eitan
2001
Non-oscillatory central differencing for hyperbolic conservation laws. Zbl 0697.65068
1990
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
2000
From particle to kinetic and hydrodynamic descriptions of flocking. Zbl 1402.76108
2008
A kinetic formulation of multidimensional scalar conservation laws and related equations. Zbl 0820.35094
Lions, P. L.; Perthame, B.; Tadmor, E.
1994
A new model for self-organized dynamics and its flocking behavior. Zbl 1230.82037
2011
Heterophilious dynamics enhances consensus. Zbl 1310.92064
2014
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems. Zbl 1046.65078
2003
Convergence of spectral methods for nonlinear conservation laws. Zbl 0667.65079
1989
Kinetic formulation of the isentropic gas dynamics and $$p$$-systems. Zbl 0799.35151
Lions, P. L.; Perthame, B.; Tadmor, E.
1994
Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. Zbl 0914.65095
1998
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
2002
The numerical viscosity of entropy stable schemes for systems of conservation laws. I. Zbl 0641.65068
1987
Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws. Zbl 1252.65150
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2012
Detection of edges in spectral data. Zbl 0952.42001
1999
Numerical viscosity and the entropy condition for conservative difference schemes. Zbl 0587.65058
1984
High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws. Zbl 0920.65053
Jiang, G.-S.; Levy, D.; Lin, C.-T.; Osher, S.; Tadmor, E.
1998
Legendre pseudospectral viscosity method for nonlinear conservation laws. Zbl 0774.65072
1993
Central discontinuous Galerkin methods on overlapping cells with a nonoscillatory hierarchical reconstruction. Zbl 1157.65450
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
2007
A kinetic equation with kinetic entropy functions for scalar conservation laws. Zbl 0729.76070
1991
The exponential accuracy of Fourier and Chebyshev differencing methods. Zbl 0613.65017
1986
Third order nonoscillatory central scheme for hyperbolic conservation laws. Zbl 0906.65093
1998
Detection of edges in spectral data. II: Nonlinear enhancement. Zbl 0990.42025
2000
Skew-selfadjoint form for systems of conservation laws. Zbl 0599.35102
1984
Critical thresholds in flocking hydrodynamics with non-local alignment. Zbl 1353.76064
2014
Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography. Zbl 1452.35149
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2011
Critical thresholds in Euler-Poisson equations. Zbl 0989.35110
Engelberg, Shlomo; Liu, Hailiang; Tadmor, Eitan
2001
Local error estimates for discontinuous solutions of nonlinear hyperbolic equations. Zbl 0732.65084
1991
$$L^{2}$$ stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods. Zbl 1152.65095
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
2008
On the convergence of difference approximations to scalar conservation laws. Zbl 0637.65091
1988
Recovering pointwise values of discontinuous data within spectral accuracy. Zbl 0597.65099
1985
Analyticity and decay estimates of the Navier-Stokes equations in critical Besov spaces. Zbl 1317.76029
Bae, Hantaek; Biswas, Animikh; Tadmor, Eitan
2012
Critical thresholds in 1D Euler equations with non-local forces. Zbl 1356.35174
Carrillo, José A.; Choi, Young-Pil; Tadmor, Eitan; Tan, Changhui
2016
Filters, mollifiers and the computation of the Gibbs phenomenon. Zbl 1125.65122
2007
A multiscale image representation using hierarchical $$(BV,L^2)$$ decompositions. Zbl 1146.68472
Tadmor, Eitan; Nezzar, Suzanne; Vese, Luminita
2004
Critical thresholds in a convolution model for nonlinear conservation laws. Zbl 1002.35085
2001
From semidiscrete to fully discrete: Stability of Runge-Kutta schemes by the energy method. Zbl 0915.65093
1998
A review of numerical methods for nonlinear partial differential equations. Zbl 1258.65073
2012
The well-posedness of the Kuramoto-Sivashinsky equation. Zbl 0606.35073
1986
Spectral dynamics of the velocity gradient field in restricted flows. Zbl 1031.76006
2002
New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077
2000
The regularized Chapman-Enskog expansion for scalar conservation laws. Zbl 0793.76005
1992
Analysis of the spectral vanishing viscosity method for periodic conservation laws. Zbl 0678.65066
1989
A minimum entropy principle in the gas dynamics equations. Zbl 0625.76084
1986
On the numerical radius and its applications. Zbl 0479.47002
1982
Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information. Zbl 1056.42002
2002
High-resolution nonoscillatory central schemes for Hamilton-Jacobi equations. Zbl 0964.65097
2000
Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws. Zbl 1371.65080
Fjordholm, Ulrik S.; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan
2017
Adaptive edge detectors for piecewise smooth data based on the minmod limiter. Zbl 1103.65143
2006
Spectral viscosity approximations to multidimensional scalar conservation laws. Zbl 0799.35148
Chen, Gui-Qiang; Du, Qiang; Tadmor, Eitan
1993
Shock capturing by the spectral viscosity method. Zbl 0729.65073
1990
Eulerian dynamics with a commutator forcing. Zbl 1379.35252
2017
The convergence rate of approximate solutions for nonlinear scalar conservation laws. Zbl 0765.65092
1992
Critical thresholds in 2D restricted Euler-Poisson equations. Zbl 1073.35187
2003
Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23–28, 1997. Zbl 0904.00047
Quarteroni, Alfio (ed.); Cockburn, B.; Johnson, C.; Shu, C.-W.; Tadmor, E.
1998
Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity. Zbl 1331.76102
2006
On the computation of measure-valued solutions. Zbl 1382.76001
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2016
Non-oscillatory central schemes for one- and two-dimensional MHD equations. I. Zbl 1195.76304
Balbás, Jorge; Tadmor, Eitan; Wu, Cheng-Chin
2004
Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping
2007
Velocity averaging, kinetic formulations, and regularizing effects in quasi-linear PDEs. Zbl 1131.35004
2007
Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071
Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan
2001
Enhanced spectral viscosity approximations for conservation laws. Zbl 0973.65088
2000
ENO reconstruction and ENO interpolation are stable. Zbl 1273.65120
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2013
Central local discontinuous Galerkin methods on overlapping cells for diffusion equations. Zbl 1269.65098
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
2011
On the finite time blow-up of the Euler-Poisson equations in $$\mathbb R^{N}$$. Zbl 1157.35086
2008
Approximate solutions of the incompressible Euler equations with no concentrations. Zbl 0965.35110
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Tadmor, Eitan
2000
The large-time behavior of the scalar, genuinely nonlinear Lax-Friedrichs scheme. Zbl 0598.65067
1984
Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. II. Zbl 0466.65054
1981
Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order $$0 < \alpha < 1$$. Zbl 1398.35157
2018
$$L^1$$-stability and error estimates for approximate Hamilton-Jacobi solutions. Zbl 0977.65059
2001
Rotation prevents finite-time breakdown. Zbl 1098.76643
2004
Eulerian dynamics with a commutator forcing. II: Flocking. Zbl 1372.35227
2017
On the global regularity of subcritical Euler-Poisson equations with pressure. Zbl 1155.35078
2008
Adaptive filters fo piecewise smooth spectral data. Zbl 1086.65124
2005
Non-oscillatory central schemes for the incompressible 2-D Euler equations. Zbl 0883.76057
1997
The equivalence of $$L^ q-$$stability, the resolvent condition, and strict H-stability. Zbl 0469.15011
1981
Total variation and error estimates for special viscosity approximations. Zbl 0795.65064
1993
Formulation cinétique des lois de conservation scalaires multidimensionnelles. (Kinetic formulation of multidimensional scalar conservation laws). Zbl 0729.49007
Lions, Pierre-Louis; Perthame, Benoît; Tadmor, Eitan
1991
Convenient total variation diminishing conditions for nonlinear difference schemes. Zbl 0662.65082
1988
Global regularity of two-dimensional flocking hydrodynamics. Zbl 1375.35563
2017
On the existence and compactness of a two-dimensional resonant system of conservation laws. Zbl 1165.35412
Karlsen, Kenneth H.; Rascle, Michel; Tadmor, Eitan
2007
Super-viscosity and spectral approximations of nonlinear conservation laws. Zbl 0805.76057
1993
Spectral methods for discontinuous problems. Zbl 0646.76082
Abarbanel, S.; Gottlieb, D.; Tadmor, E.
1986
The numerical radius and spectral matrices. Zbl 0305.15004
Goldberg, Moshe; Tadmor, Eitan; Zwas, Gideon
1975
Energy preserving and energy stable schemes for the shallow water equations. Zbl 1381.76236
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2009
Recovery of edges from spectral data with noise — a new perspective. Zbl 1192.42002
2008
The convergence rate of Godunov type schemes. Zbl 0799.65096
Nessyahu, Haim; Tadmor, Eitan; Tassa, Tamir
1994
On the piecewise smoothness of entropy solutions to scalar conservation laws. Zbl 0807.35091
1993
Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. I. Zbl 0397.65065
1978
Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045
Bellomo, Nicola (ed.); Degond, Pierre (ed.); Tadmor, Eitan (ed.)
2017
An improved local blow-up condition for Euler-Poisson equations with attractive forcing. Zbl 1183.35215
2009
Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. Zbl 1381.76316
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan
2018
Pointwise error estimates for relaxation approximations to conservation laws. Zbl 0979.35098
2000
Approximate solutions of nonlinear conservation laws. Zbl 0927.65110
1998
The CFL condition for spectral approximations to hyperbolic initial- boundary value problems. Zbl 0723.65079
1991
Stability analysis of finite-difference, pseudospectral and Fourier- Galerkin approximations for time-dependent problems. Zbl 0646.65072
1987
Entropy functions for symmetric systems of conservation laws. Zbl 0624.35057
1987
Suppressing chemotactic blow-up through a fast splitting scenario on the plane. Zbl 1408.35066
2019
Nonoscillatory central schemes for one- and two-dimensional magnetohydrodynamics equations. II: High-order semidiscrete schemes. Zbl 1136.65340
2006
A fast, high resolution, second-order central scheme for incompressible flows. Zbl 0875.76386
1997
Flocking hydrodynamics with external potentials. Zbl 1448.76178
2020
Topologically based fractional diffusion and emergent dynamics with short-range interactions. Zbl 1453.92371
2020
Suppressing chemotactic blow-up through a fast splitting scenario on the plane. Zbl 1408.35066
2019
Flocking with short-range interactions. Zbl 1419.92034
Morales, Javier; Peszek, Jan; Tadmor, Eitan
2019
Active particles, Volume 2. Advances in theory, models, and applications. Zbl 1427.74004
Bellomo, Nicola (ed.); Degond, Pierre (ed.); Tadmor, Eitan (ed.)
2019
Eulerian dynamics with a commutator forcing. III: Fractional diffusion of order $$0 < \alpha < 1$$. Zbl 1398.35157
2018
Well-balanced schemes for the Euler equations with gravitation: conservative formulation using global fluxes. Zbl 1381.76316
Chertock, Alina; Cui, Shumo; Kurganov, Alexander; Özcan, Şeyma Nur; Tadmor, Eitan
2018
Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws. Zbl 1371.65080
Fjordholm, Ulrik S.; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan
2017
Eulerian dynamics with a commutator forcing. Zbl 1379.35252
2017
Eulerian dynamics with a commutator forcing. II: Flocking. Zbl 1372.35227
2017
Global regularity of two-dimensional flocking hydrodynamics. Zbl 1375.35563
2017
Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045
Bellomo, Nicola (ed.); Degond, Pierre (ed.); Tadmor, Eitan (ed.)
2017
Critical thresholds in 1D Euler equations with non-local forces. Zbl 1356.35174
Carrillo, José A.; Choi, Young-Pil; Tadmor, Eitan; Tan, Changhui
2016
On the computation of measure-valued solutions. Zbl 1382.76001
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2016
Perfect derivatives, conservative differences and entropy stable computation of hyperbolic conservation laws. Zbl 1332.65129
2016
Hierarchical construction of bounded solutions in critical regularity spaces. Zbl 1342.35063
2016
Stability and spectral convergence of Fourier method for nonlinear problems: on the shortcomings of the $$2/3$$ de-aliasing method. Zbl 1310.76123
2015
Heterophilious dynamics enhances consensus. Zbl 1310.92064
2014
Critical thresholds in flocking hydrodynamics with non-local alignment. Zbl 1353.76064
2014
Dissipation versus quadratic nonlinearity: from a priori energy bound to higher order regularizing effect. Zbl 1293.35061
2014
ENO reconstruction and ENO interpolation are stable. Zbl 1273.65120
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2013
Arbitrarily high-order accurate entropy stable essentially nonoscillatory schemes for systems of conservation laws. Zbl 1252.65150
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2012
Analyticity and decay estimates of the Navier-Stokes equations in critical Besov spaces. Zbl 1317.76029
Bae, Hantaek; Biswas, Animikh; Tadmor, Eitan
2012
A review of numerical methods for nonlinear partial differential equations. Zbl 1258.65073
2012
Adaptive spectral viscosity for hyperbolic conservation laws. Zbl 1250.65113
2012
Critical thresholds in multi-dimensional Euler-Poisson equations with radial symmetry. Zbl 1272.35146
Bae, Hantaek; Tadmor, Eitan; Wei, Dongming
2012
Entropy stable ENO scheme. Zbl 1284.65117
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2012
Hierarchical construction of bounded solutions of div $$U$$=$$F$$ in critical regularity spaces. Zbl 1255.35069
2012
Constraint preserving schemes using potential-based fluxes. III: Genuinely multi-dimensional schemes for MHD equations. Zbl 1310.76119
2012
A new model for self-organized dynamics and its flocking behavior. Zbl 1230.82037
2011
Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography. Zbl 1452.35149
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2011
Central local discontinuous Galerkin methods on overlapping cells for diffusion equations. Zbl 1269.65098
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
2011
Constraint preserving schemes using potential-based fluxes. II: Genuinely multidimensional systems of conservation laws. Zbl 1231.65143
2011
Integro-differential equations based on $$(BV, L^1)$$ image decomposition. Zbl 1298.45015
2011
Constraint preserving schemes using potential-based fluxes I. multidimensional transport equations. Zbl 1364.65168
2011
Global regularity of the 4D restricted Euler equations. Zbl 1193.37123
Liu, Hailiang; Tadmor, Eitan; Wei, Dongming
2010
Energy preserving and energy stable schemes for the shallow water equations. Zbl 1381.76236
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
2009
An improved local blow-up condition for Euler-Poisson equations with attractive forcing. Zbl 1183.35215
2009
Multiscale image representation using novel integro-differential equations. Zbl 1185.68814
2009
On the entropy stability of Roe-type finite volume methods. Zbl 1186.65121
2009
Vorticity preserving schemes using potential-based fluxes for the system wave equation. Zbl 1407.76022
2009
Hyperbolic problems. Theory, numerics and applications. Plenary and invited talks. Proceedings of the 12th international conference on hyperbolic problems, June 9–13, 2008. Zbl 1179.35008
Tadmor, Eitan (ed.); Liu, Jian-Guo (ed.); Tzavaras, Athanasios (ed.)
2009
From particle to kinetic and hydrodynamic descriptions of flocking. Zbl 1402.76108
2008
$$L^{2}$$ stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods. Zbl 1152.65095
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
2008
On the finite time blow-up of the Euler-Poisson equations in $$\mathbb R^{N}$$. Zbl 1157.35086
2008
On the global regularity of subcritical Euler-Poisson equations with pressure. Zbl 1155.35078
2008
Recovery of edges from spectral data with noise — a new perspective. Zbl 1192.42002
2008
Energy-preserving and stable approximations for the two-dimensional shallow water equations. Zbl 1391.76496
2008
Long-time existence of smooth solutions for the rapidly rotating shallow-water and Euler equations. Zbl 1152.76054
2008
Three novel edge detection methods for incomplete and noisy spectral data. Zbl 1181.62153
2008
Multiscale hierarchical decomposition of images with applications to deblurring, denoising, and segmentation. Zbl 1189.68166
Tadmor, Eitan; Nezzar, Suzanne; Vese, Luminita
2008
Novel entropy stable schemes for 1D and 2D fluid equations. Zbl 1134.76048
2008
Central discontinuous Galerkin methods on overlapping cells with a nonoscillatory hierarchical reconstruction. Zbl 1157.65450
Liu, Yingjie; Shu, Chi-Wang; Tadmor, Eitan; Zhang, Mengping
2007
Filters, mollifiers and the computation of the Gibbs phenomenon. Zbl 1125.65122
2007
Non-oscillatory hierarchical reconstruction for central and finite volume schemes. Zbl 1164.65456
Liu, Yingjie; Shu, Chiwang; Tadmor, Eitan; Zhang, Mengping
2007
Velocity averaging, kinetic formulations, and regularizing effects in quasi-linear PDEs. Zbl 1131.35004
2007
On the existence and compactness of a two-dimensional resonant system of conservation laws. Zbl 1165.35412
Karlsen, Kenneth H.; Rascle, Michel; Tadmor, Eitan
2007
Adaptive edge detectors for piecewise smooth data based on the minmod limiter. Zbl 1103.65143
2006
Entropy stable approximations of Navier-Stokes equations with no artificial numerical viscosity. Zbl 1331.76102
2006
Nonoscillatory central schemes for one- and two-dimensional magnetohydrodynamics equations. II: High-order semidiscrete schemes. Zbl 1136.65340
2006
Adaptive filters fo piecewise smooth spectral data. Zbl 1086.65124
2005
Compensated compactness for 2D conservation laws. Zbl 1084.35045
Tadmor, Eitan; Rascle, Michel; Bagnerini, Patrizia
2005
A multiscale image representation using hierarchical $$(BV,L^2)$$ decompositions. Zbl 1146.68472
Tadmor, Eitan; Nezzar, Suzanne; Vese, Luminita
2004
Non-oscillatory central schemes for one- and two-dimensional MHD equations. I. Zbl 1195.76304
Balbás, Jorge; Tadmor, Eitan; Wu, Cheng-Chin
2004
Rotation prevents finite-time breakdown. Zbl 1098.76643
2004
Burgers’ equation with vanishing hyper-viscosity. Zbl 1088.35038
2004
Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems. Zbl 1046.65078
2003
Critical thresholds in 2D restricted Euler-Poisson equations. Zbl 1073.35187
2003
An adaptive order Godunov-type central scheme. Zbl 1134.65359
2003
Critical thresholds and conditional stability for Euler equations and related models. Zbl 1134.76448
2003
Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers. Zbl 1058.76046
2002
Spectral dynamics of the velocity gradient field in restricted flows. Zbl 1031.76006
2002
Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information. Zbl 1056.42002
2002
Semiclassical limit of the nonlinear Schrödinger-Poisson equation with subcritical initial data. Zbl 1166.35374
2002
Spectral reconstruction of piecewise smooth functions from their discrete data. Zbl 1056.42001
2002
High resolution methods for time dependent problems with piecewise smooth solutions. Zbl 1001.65098
2002
Strong stability-preserving high-order time discretization methods. Zbl 0967.65098
Gottlieb, Sigal; Shu, Chi-Wang; Tadmor, Eitan
2001
Critical thresholds in Euler-Poisson equations. Zbl 0989.35110
Engelberg, Shlomo; Liu, Hailiang; Tadmor, Eitan
2001
Critical thresholds in a convolution model for nonlinear conservation laws. Zbl 1002.35085
2001
Spectral vanishing viscosity method for nonlinear conservation laws. Zbl 1020.65071
Guo, Ben-yu; Ma, He-ping; Tadmor, Eitan
2001
$$L^1$$-stability and error estimates for approximate Hamilton-Jacobi solutions. Zbl 0977.65059
2001
On a new scale of regularity spaces with applications to Euler’s equations. Zbl 0983.35100
2001
New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations. Zbl 0987.65085
2000
Detection of edges in spectral data. II: Nonlinear enhancement. Zbl 0990.42025
2000
New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. Zbl 0961.65077
2000
High-resolution nonoscillatory central schemes for Hamilton-Jacobi equations. Zbl 0964.65097
2000
Enhanced spectral viscosity approximations for conservation laws. Zbl 0973.65088
2000
Approximate solutions of the incompressible Euler equations with no concentrations. Zbl 0965.35110
Lopes Filho, Milton C.; Nussenzveig Lopes, Helena J.; Tadmor, Eitan
2000
Pointwise error estimates for relaxation approximations to conservation laws. Zbl 0979.35098
2000
Detection of edges in spectral data. Zbl 0952.42001
1999
Pointwise error estimates for scalar conservation laws with piecewise smooth solutions. Zbl 0934.35088
1999
Pointwise convergence rate for nonlinear conservation laws. Zbl 0928.35100
1999
Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. Zbl 0914.65095
1998
High-resolution nonoscillatory central schemes with nonstaggered grids for hyperbolic conservation laws. Zbl 0920.65053
Jiang, G.-S.; Levy, D.; Lin, C.-T.; Osher, S.; Tadmor, E.
1998
Third order nonoscillatory central scheme for hyperbolic conservation laws. Zbl 0906.65093
1998
From semidiscrete to fully discrete: Stability of Runge-Kutta schemes by the energy method. Zbl 0915.65093
1998
Advanced numerical approximation of nonlinear hyperbolic equations. Lectures given at the 2nd session of the Centro Internazionale Matematico Estivo (C. I. M. E.) held in Cetraro, Italy, June 23–28, 1997. Zbl 0904.00047
Quarteroni, Alfio (ed.); Cockburn, B.; Johnson, C.; Shu, C.-W.; Tadmor, E.
1998
Approximate solutions of nonlinear conservation laws. Zbl 0927.65110
1998
Approximate solutions of nonlinear conservation laws and related equations. Zbl 0889.35061
1998
Special issue dedicated to Amiram Harten (1946–1994). Zbl 0919.00094
1998
...and 53 more Documents
all top 5

#### Cited by 3,705 Authors

 85 Shu, Chi-Wang 67 Ha, Seung-Yeal 51 Tadmor, Eitan 49 Kurganov, Alexander 31 Liu, Hailiang 29 Mishra, Siddhartha 28 Gelb, Anne 27 Carrillo de la Plata, José Antonio 27 Chertock, Alina E. 27 Choi, Young-Pil 25 Perthame, Benoît 24 Chen, Gui-Qiang G. 21 Bürger, Raimund 20 Karlsen, Kenneth Hvistendahl 20 Popov, Boyan 19 Dumbser, Michael 19 Gassner, Gregor J. 19 Guermond, Jean-Luc 18 Carpenter, Mark H. 18 Jin, Shi 18 Pareschi, Lorenzo 18 Winters, Andrew R. 17 Herty, Michael Matthias 16 Degond, Pierre 16 LeFloch, Philippe Gerard 16 Li, Fengyan 16 Lu, Yunguang 16 Risebro, Nils Henrik 16 Zhang, Mengping 15 Goldberg, Moshe 15 Kim, Jeongho 15 Kuzmin, Dmitri 15 Liu, Jianguo 14 Chesnokov, Alexander A. 14 Gottlieb, Sigal 14 Gray, John Mark Nicholas Timm 14 Qiu, Jingmei 14 Zhang, Xiongtao 13 Feng, Jianhu 13 Fjordholm, Ulrik Skre 13 Gosse, Laurent 13 Qamar, Shamsul 13 Touma, Rony 13 Yang, Hanchun 12 Cai, Li 12 Cockburn, Bernardo 12 Parsani, Matteo 12 Pasquetti, Richard 12 Pullin, Dale I. 11 Del Rey Fernández, David C. 11 Feireisl, Eduard 11 Hesthaven, Jan S. 11 Jabin, Pierre-Emmanuel 11 Johnson, Christopher G. 11 Li, Maojun 11 Liu, Yingjie 11 Lopes Filho, Milton da Costa 11 Lukáčová-Medvid’ová, Mária 11 Nussenzveig Lopes, Helena Judith 11 Ostapenko, Vladimir Viktorovich 11 Ranocha, Hendrik 11 Russo, Giovanni 11 Spijker, Marc N. 10 Banda, Mapundi Kondwani 10 Dawson, Clint N. 10 Du, Qiang 10 Huang, Feimin 10 Junca, Stéphane 10 Kim, Doheon 10 Kubatko, Ethan J. 10 Motsch, Sébastien 10 Mulet, Pep 10 Svärd, Magnus 10 Warnecke, Gerald G. 10 Xie, Wenxian 9 Abreu, Eduardo 9 Bae, Hyeong-Ohk 9 Bellomo, Nicola 9 Cheng, Yingda 9 Higueras, Inmaculada 9 Hou, Thomas Yizhao 9 Jung, Jinwook 9 Kang, Moon-Jin 9 Ko, Dongnam 9 Peszek, Jan 9 Qiu, Jianxian 9 Ricchiuto, Mario 9 Sonar, Thomas 9 Tan, Changhui 9 Tang, Huazhong 9 Vovelle, Julien 9 Winkler, Michael 9 Xu, Liwei 9 Zanella, Mattia 9 Zhan, Huashui 9 Zhang, Qiang 9 Zhang, Yongtao 8 Abgrall, Rémi 8 Berthon, Christophe 8 Cheng, Hongjun ...and 3,605 more Authors
all top 5

#### Cited in 304 Serials

 490 Journal of Computational Physics 245 Journal of Scientific Computing 95 Mathematics of Computation 91 Journal of Differential Equations 86 Applied Numerical Mathematics 86 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 78 Computers and Fluids 69 Journal of Computational and Applied Mathematics 61 Computer Methods in Applied Mechanics and Engineering 55 Journal of Fluid Mechanics 54 Journal of Mathematical Analysis and Applications 54 SIAM Journal on Scientific Computing 51 Archive for Rational Mechanics and Analysis 51 Applied Mathematics and Computation 43 SIAM Journal on Numerical Analysis 41 Computers & Mathematics with Applications 35 Numerische Mathematik 34 SIAM Journal on Mathematical Analysis 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 27 Linear Algebra and its Applications 26 Journal of Hyperbolic Differential Equations 24 Applied Mathematics Letters 24 Kinetic and Related Models 23 Physica D 21 BIT 21 Applied Mathematical Modelling 20 International Journal for Numerical Methods in Fluids 20 Networks and Heterogeneous Media 19 Journal of Statistical Physics 19 Mathematics and Computers in Simulation 19 Communications in Partial Differential Equations 18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Journal of Mathematical Physics 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Communications in Mathematical Physics 16 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 15 Nonlinearity 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Numerical Methods for Partial Differential Equations 15 Discrete and Continuous Dynamical Systems 14 Nonlinear Analysis. Real World Applications 13 Applied and Computational Harmonic Analysis 13 Communications in Nonlinear Science and Numerical Simulation 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 12 Quarterly of Applied Mathematics 12 Advances in Computational Mathematics 11 Transactions of the American Mathematical Society 11 Physics of Fluids 11 Computational Geosciences 10 Linear and Multilinear Algebra 10 Mathematical Methods in the Applied Sciences 10 Numerical Algorithms 10 Journal of Mathematical Imaging and Vision 10 European Journal of Mechanics. B. Fluids 10 Matematicheskoe Modelirovanie 10 SIAM Journal on Applied Dynamical Systems 9 Journal of Functional Analysis 9 SIAM Journal on Applied Mathematics 9 Journal of Nonlinear Science 9 Mathematical Problems in Engineering 9 Vietnam Journal of Mathematics 9 Multiscale Modeling & Simulation 8 Transport Theory and Statistical Physics 8 Chinese Annals of Mathematics. Series B 8 Acta Mathematicae Applicatae Sinica. English Series 8 International Journal of Computer Mathematics 8 Journal de Mathématiques Pures et Appliquées. Neuvième Série 8 Differential Equations 8 Foundations of Computational Mathematics 8 Discrete and Continuous Dynamical Systems. Series B 8 Communications on Pure and Applied Analysis 7 Computer Physics Communications 7 Communications on Pure and Applied Mathematics 7 Japan Journal of Industrial and Applied Mathematics 7 Science China. Mathematics 6 Wave Motion 6 Theoretical and Computational Fluid Dynamics 6 Automatica 6 SIAM Journal on Control and Optimization 6 Acta Applicandae Mathematicae 6 Computational Mathematics and Mathematical Physics 6 Computational and Applied Mathematics 6 The Journal of Fourier Analysis and Applications 6 Doklady Mathematics 6 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 6 Journal of Mathematical Fluid Mechanics 6 Bulletin of the Brazilian Mathematical Society. New Series 6 International Journal of Computational Methods 6 Acta Numerica 6 SMAI Journal of Computational Mathematics 5 Mathematical and Computer Modelling 5 Journal of Dynamics and Differential Equations 5 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Living Reviews in Relativity 5 Advances in Mathematical Physics 5 GEM - International Journal on Geomathematics 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 Journal of Engineering Mathematics 4 Computing 4 International Journal for Numerical Methods in Engineering ...and 204 more Serials
all top 5

#### Cited in 44 Fields

 1,595 Partial differential equations (35-XX) 1,528 Numerical analysis (65-XX) 1,285 Fluid mechanics (76-XX) 218 Biology and other natural sciences (92-XX) 199 Statistical mechanics, structure of matter (82-XX) 110 Ordinary differential equations (34-XX) 86 Geophysics (86-XX) 80 Probability theory and stochastic processes (60-XX) 78 Harmonic analysis on Euclidean spaces (42-XX) 68 Mechanics of deformable solids (74-XX) 68 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 66 Calculus of variations and optimal control; optimization (49-XX) 50 Linear and multilinear algebra; matrix theory (15-XX) 50 Dynamical systems and ergodic theory (37-XX) 50 Systems theory; control (93-XX) 49 Computer science (68-XX) 49 Optics, electromagnetic theory (78-XX) 47 Mechanics of particles and systems (70-XX) 47 Operations research, mathematical programming (90-XX) 45 Information and communication theory, circuits (94-XX) 31 Functional analysis (46-XX) 31 Operator theory (47-XX) 30 Integral equations (45-XX) 29 Approximations and expansions (41-XX) 26 Astronomy and astrophysics (85-XX) 25 Classical thermodynamics, heat transfer (80-XX) 18 Quantum theory (81-XX) 18 Relativity and gravitational theory (83-XX) 13 Statistics (62-XX) 12 Combinatorics (05-XX) 12 Global analysis, analysis on manifolds (58-XX) 10 Real functions (26-XX) 8 Special functions (33-XX) 7 General and overarching topics; collections (00-XX) 6 Difference and functional equations (39-XX) 5 Measure and integration (28-XX) 5 Functions of a complex variable (30-XX) 4 Differential geometry (53-XX) 2 History and biography (01-XX) 2 Integral transforms, operational calculus (44-XX) 2 General topology (54-XX) 1 Sequences, series, summability (40-XX) 1 Convex and discrete geometry (52-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.