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Markowich, Peter Alexander

Author ID: markowich.peter-alexander Recent zbMATH articles by "Markowich, Peter Alexander"
Published as: Markowich, Peter A.; Markowich, Peter; Markowich, P. A.; Markowich, P.; Markowich, Peter Alexander; Markovich, P.
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

18 single-authored
24 Schmeiser, Christian
22 Sparber, Christof
17 Haskovec, Jan
13 Degond, Pierre
12 Jin, Shi
11 Arnold, Anton
11 Burger, Martin
11 Ringhofer, Christian A.
10 Bao, Weizhu
10 Perthame, Benoît
10 Wolfram, Marie-Therese
9 Gasser, Ingenuin
9 Hajaiej, Hichem
8 Dolbeault, Jean
8 Unterreiter, Andreas
7 Huang, Zhongyi
7 Mauser, Norbert Julius
7 Pietra, Paola
7 Toscani, Giuseppe
6 Caffarelli, Luis Ángel
6 Di Francesco, Marco
6 Jüngel, Ansgar
6 Pietschmann, Jan-Frederik
6 Poupaud, Frédéric
6 Renardy, Michael
6 Trabelsi, Saber
5 Carrillo de la Plata, José Antonio
5 Cordier, Stéphane
5 Wang, Shu
4 Brezzi, Franco
4 Kreusser, Lisa Maria
4 Li, Hailiang
4 Lorz, Alexander
4 Paul, Thierry
4 Sierra, Jesús
4 Zubelli, Jorge P.
3 Antonelli, Paolo
3 Astuto, Clarissa
3 Ben Abdallah, Naoufel
3 Engl, Heinz W.
3 Fellner, Klemens
3 Klein, Christian
3 Lederman, Claudia B.
3 Leitão, Antonio
3 Pohl, Carsten
3 Portaro, Simone
3 Russo, Giovanni
3 Weishäupl, Rada-Maria
2 Alhomedan, Suad
2 Aoki, Kazuo
2 Ascher, Uri M.
2 Athanassoulis, Agisillaos
2 Bardos, Claude Williams
2 Biler, Piotr
2 Boffi, Daniele
2 Brinkman, Daniel
2 Carles, Rémi
2 Chalub, Fabio A. C. C.
2 Chen, Huyuan
2 Cho, Yonggeun
2 Düring, Bertram
2 Fall, Mouhamed Moustapha
2 Golse, François
2 Jaksch, Dieter
2 Matevosyan, Norayr
2 Mei, Ming
2 Mielke, Alexander
2 Ölz, Dietmar
2 Pareschi, Lorenzo
2 Pilli, Giulia
2 Schönlieb, Carola-Bibiane
2 Steinrück, Herbert
2 Villani, Cédric
2 Weiss, Richard
2 Zheng, Chunxiong
1 Abdelhedi, Wael
1 Aki, Gonca L.
1 Albi, Giacomo
1 Alhemedan, Suad
1 Amadori, Debora
1 Andreianov, Boris
1 Artina, Marco
1 Bod’ová, Katarína
1 Bonilla, Luis Lopez
1 Borgna, Juan Pablo
1 Cai, Yongyong
1 Chai, Lihui
1 Chertock, Alina E.
1 Chtioui, Hichem
1 Chu, Shun-Yin
1 Ciepliński, Krzysztof
1 Danaila, Ionut
1 de Hoop, Maarten V.
1 Desvillettes, Laurent
1 Dolak-Struss, Yasmin
1 Duan, Renjun
1 Esteban, Maria J.
1 Fagioli, Simone
1 Fang, Di
1 Figalli, Alessio
...and 62 more Co-Authors
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Serials

13 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 SIAM Journal on Mathematical Analysis
8 Communications in Mathematical Sciences
6 Archive for Rational Mechanics and Analysis
6 Journal of Computational Physics
6 Monatshefte für Mathematik
5 Journal of Mathematical Physics
5 Journal of Differential Equations
5 Applied Mathematics Letters
5 Communications in Partial Differential Equations
4 Nonlinearity
4 Transport Theory and Statistical Physics
4 SIAM Journal on Numerical Analysis
4 SIAM Journal on Applied Mathematics
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Kinetic and Related Models
3 IMA Journal of Applied Mathematics
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 RAIRO. Modélisation Mathématique et Analyse Numérique
3 Asymptotic Analysis
3 Discrete and Continuous Dynamical Systems
3 Milan Journal of Mathematics
3 Multiscale Modeling & Simulation
2 Communications on Pure and Applied Mathematics
2 Inverse Problems
2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
2 Mathematics of Computation
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Numerische Mathematik
2 Mathematical and Computer Modelling
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Bollettino della Unione Matemàtica Italiana. Serie VII. B
2 Journal of Nonlinear Science
2 SIAM Journal on Scientific Computing
2 Electronic Journal of Differential Equations (EJDE)
2 Discrete and Continuous Dynamical Systems. Series B
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Analysis and Applications (Singapore)
2 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore
1 Applicable Analysis
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 Journal of Fluid Mechanics
1 Journal of Mathematical Analysis and Applications
1 Wave Motion
1 Calcolo
1 Journal of Functional Analysis
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Quarterly of Applied Mathematics
1 SIAM Journal on Control and Optimization
1 Physica D
1 Revista Matemática Iberoamericana
1 COMPEL
1 Forum Mathematicum
1 Science in China. Series A
1 European Journal of Applied Mathematics
1 Journal of Non-Newtonian Fluid Mechanics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Journal of Dynamics and Differential Equations
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts)
1 Journal of Mathematical Sciences (New York)
1 Matemática Contemporânea
1 Taiwanese Journal of Mathematics
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Interfaces and Free Boundaries
1 Acta Numerica
1 Complex Variables and Elliptic Equations
1 Pitman Research Notes in Mathematics Series
1 Series in Applied Mathematics (Paris)
1 Communications in Computational Physics
1 Journal of Dynamics and Games
1 Mathematics and Mechanics of Complex Systems
1 Nonlinear Analysis. Theory, Methods & Applications
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 SMAI Journal of Computational Mathematics

Publications by Year

Citations contained in zbMATH Open

191 Publications have been cited 5,291 times in 3,298 Documents Cited by Year
Semiconductor equations. Zbl 0765.35001
Markowich, Peter A.; Ringhofer, Christian A.; Schmeiser, Christian
644
1990
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
258
2010
Homogenization limits and Wigner transforms. Zbl 0881.35099
Gérard, Patrick; Markowich, Peter A.; Mauser, Norbert J.; Poupaud, Frédéric
217
1997
On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime. Zbl 1006.65112
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
200
2002
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Zbl 0982.35113
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe; Unterreiter, Andreas
191
2001
Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501
Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A.
171
2003
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103
Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A.
161
2010
Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities. Zbl 0984.35027
Carrillo, J. A.; Jüngel, A.; Markowich, P. A.; Toscani, G.; Unterreiter, A.
156
2001
Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005
Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian
134
2004
On a one-dimensional steady-state hydrodynamic model for semiconductors. Zbl 0736.35129
Degond, P.; Markowich, P. A.
113
1990
Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
108
2003
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A.
81
2012
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
78
2016
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
77
2011
Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Zbl 1195.91127
Düring, Bertram; Markowich, Peter; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
75
2009
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
69
2005
A steady state potential flow model for semiconductors. Zbl 0808.35150
Degond, Pierre; Markowich, Peter A.
64
1993
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080
Brezzi, Franco; Markowich, Peter A.
64
1991
On the trend to equilibrium for the Fokker-Planck equation: an interplay between physics and functional analysis. Zbl 1139.82326
Markowich, P. A.; Villani, C.
62
2000
Quantum hydrodynamics, Wigner transforms and the classical limit. Zbl 0877.76087
Gasser, Ingenuin; Markowich, Peter A.
62
1997
The classical limit of a self-consistent quantum-Vlasov equation in 3D. Zbl 0772.35061
Markowich, Peter A.; Mauser, Norbert J.
62
1993
Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit. Zbl 0928.65109
Markowich, Peter A.; Pietra, Paola; Pohl, Carsten
60
1999
Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors. Zbl 1119.35310
Li, Hailiang; Markowich, Peter; Mei, Ming
56
2002
On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
55
2008
The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Zbl 1045.35088
Hsiao, Ling; Markowich, Peter A.; Wang, Shu
53
2003
Model hierarchies for cell aggregation by chemotaxis. Zbl 1094.92009
Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander
52
2006
A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong
51
2005
Numerical study of fractional nonlinear Schrödinger equations. Zbl 1372.65284
Klein, Christian; Sparber, Christof; Markowich, Peter
49
2014
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
47
2014
On the equivalence of the Schrödinger and the quantum Liouville equations. Zbl 0696.47042
Markowich, Peter A.
45
1989
A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential. Zbl 0805.35106
Markowich, P. A.; Mauser, N. J.; Poupaud, F.
43
1994
On the Hughes’ model for pedestrian flow: the one-dimensional case. Zbl 1229.35139
Di Francesco, Marco; Markowich, Peter A.; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
43
2011
A phase plane analysis of transonic solutions for the hydrodynamic semiconductor model. Zbl 0800.76032
Ascher, Uri M.; Markowich, Peter A.; Pietra, Paola; Schmeiser, Christian
41
1991
Numerical simulation of a generalized Zakharov system. Zbl 1079.65101
Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong
40
2004
On a one-dimensional Schrödinger-Poisson scattering model. Zbl 0885.34067
Ben Abdallah, Naoufel; Degond, Pierre; Markowich, Peter A.
39
1997
On generalized Csiszár-Kullback inequalities. Zbl 1015.94003
Unterreiter, Andreas; Arnold, Anton; Markowich, Peter; Toscani, Giuseppe
36
2000
Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109
Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C.
35
2004
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
34
2007
The initial time layer problem and the quasineutral limit in the semiconductor drift-diffusion model. Zbl 1018.82024
Gasser, Ingenuin; Levermore, C. David; Markowich, Peter A.; Schmeiser, Christian
33
2001
On steady state Euler-Poisson models for semiconductors. Zbl 0755.35138
Markowich, Peter A.
31
1991
Wigner functions versus WKB-methods in multivalued geometrical optics. Zbl 1069.81552
Sparber, Christof; Markowich, Peter A.; Mauser, Norbert J.
30
2003
An analysis of quantum Fokker-Planck models: a Wigner function approach. Zbl 1062.35097
Arnold, Anton; López, José L.; Markowich, Peter A.; Soler, Juan
29
2004
On large time asymptotics for drift-diffusion-Poisson systems. Zbl 1017.82041
Arnold, Anton; Markowich, Peter; Toscani, Giuseppe
28
2000
On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
28
2015
Quasi-neutral limit of a nonlinear drift diffusion model for semiconductors. Zbl 1016.82034
Gasser, Ingenuin; Hsiao, Ling; Markowich, Peter A.; Wang, Shu
27
2002
Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120
Haskovec, Jan; Markowich, Peter; Perthame, Benoit
26
2015
A Wigner-measure analysis of the Dufort–Frankel scheme for the Schrödinger equation. Zbl 1029.65098
Markowich, Peter A.; Pietra, Paola; Pohl, Carsten; Stimming, Hans Peter
25
2002
Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian
24
2007
Closure conditions for classical and quantum moment hierarchies in the small-temperature limit. Zbl 0871.76078
Gasser, Ingenuin; Markowich, Peter A.; Ringhofer, Christian A.
23
1996
Notes on a PDE system for biological network formation. Zbl 1334.35101
Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias
23
2016
A convergent 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene. Zbl 1349.65271
Brinkman, D.; Heitzinger, C.; Markowich, P. A.
23
2014
An analysis of the quantum Liouville equation. Zbl 0682.46047
Markowich, P. A.; Ringhofer, C. A.
22
1989
Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070
Wang, Shu; Xin, Zhouping; Markowich, Peter A.
21
2006
Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005
Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof
21
2013
Biological transportation networks: modeling and simulation. Zbl 1329.35313
Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A.
21
2016
Semiclassical asymptotics for the Maxwell-Dirac system. Zbl 1062.81059
Sparber, C.; Markowich, P.
20
2003
A review of dispersive limits of (non)linear Schrödinger-type equations. Zbl 0972.35112
Gasser, Ingenuin; Lin, Chi-Kun; Markowich, Peter A.
20
2000
Poincaré inequalities for linearizations of very fast diffusion equations. Zbl 1011.35025
Carrillo, J. A.; Lederman, C.; Markowich, P. A.; Toscani, G.
19
2002
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
19
2011
Semiclassical, \(t\to \infty\) asymptotics and dispersive effects for Hartree-Fock systems. Zbl 0924.35125
Gasser, I.; Illner, R.; Markowich, P. A.; Schmeiser, C.
19
1998
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
19
2013
Uniform asymptotic representation of solutions of the basic semiconductor-device equations. Zbl 0614.34013
Markowich, Peter A.; Schmeiser, Christian
18
1986
A singularly perturbed boundary value problem modelling a semiconductor device. Zbl 0559.34058
Markowich, Peter A.; Ringhofer, Christian A.
18
1984
A system of convection-diffusion equations with small diffusion coefficient arising in semiconductor physics. Zbl 0709.35058
Markowich, Peter A.; Szmolyan, Peter
17
1989
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
17
2014
A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. Zbl 1136.65093
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
17
2007
Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
16
2004
On fast-diffusion equations with infinite equilibrium entropy and finite equilibrium mass. Zbl 1024.35040
Lederman, Claudia; Markowich, Peter A.
16
2003
On singular limits of mean-field equations. Zbl 1054.76086
Dolbeault, Jean; Markowich, Peter A.; Unterreiter, Andreas
16
2001
Existence and nonlinear stability of stationary states of the Schrödinger-Poisson system. Zbl 1001.82107
Markowich, Peter A.; Rein, Gerhard; Wolansky, Gershon
16
2002
On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging. Zbl 1294.35129
Antonelli, Paolo; Athanassoulis, Agisillaos; Hajaiej, Hichem; Markowich, Peter
16
2014
Thermal equilibrium states of the quantum hydrodynamic model for semiconductors in one dimension. Zbl 0829.35127
Brezzi, F.; Gasser, I.; Markowich, P. A.; Schmeiser, C.
16
1995
Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
16
2018
Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031
Markowich, Peter A.; Pareschi, Lorenzo
15
2005
On a price formation free boundary model by Lasry and Lions. Zbl 1216.91012
Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F.
15
2011
On a parabolic free boundary equation modeling price formation. Zbl 1183.35278
Markowich, P. A.; Matevosyan, N.; Pietschmann, J.-F.; Wolfram, M.-T.
15
2009
Asymptotic behavior of subsonic entropy solutions of the isentropic Euler-Poisson equations. Zbl 1031.35100
Li, Hailiang; Markowich, Peter; Mei, Ming
14
2002
The entropy dissipation method for spatially inhomogeneous reaction-diffusion-type systems. Zbl 1186.35101
Di Francesco, Marco; Fellner, Klemens; Markowich, Peter A.
14
2008
A singular perturbation analysis of the fundamental semiconductor device equations. Zbl 0568.35007
Markowich, Peter A.
14
1984
A theory for the approximation of solutions of boundary value problems on infinite intervals. Zbl 0498.34007
Markowich, Peter A.
14
1982
A nonlinear Volterra integrodifferential equation describing the stretching of polymeric liquids. Zbl 0507.45013
Markowich, Peter A.; Renardy, M.
14
1983
Travelling wave analysis of an isothermal Euler-Poisson model. Zbl 0884.35126
Cordier, S.; Degond, P.; Markowich, P.; Schmeiser, C.
14
1996
ODE- and PDE-based modeling of biological transportation networks. Zbl 1433.35421
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
14
2019
Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070
Imaikin, Valery; Komech, Alexander; Markowich, Peter A.
13
2003
A drift-diffusion-reaction model for excitonic photovoltaic bilayers: asymptotic analysis and a 2D HDG finite element scheme. Zbl 1264.35118
Brinkman, Daniel; Fellner, Klemens; Markowich, Peter A.; Wolfram, Marie-Therese
13
2013
Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials. Zbl 1173.65341
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
13
2008
Rigorous continuum limit for the discrete network formation problem. Zbl 1428.35652
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
13
2019
Analysis of boundary value problems on infinite intervals. Zbl 0528.34017
Markowich, Peter A.
13
1983
On the long-time behavior of the quantum Fokker-Planck equation. Zbl 1061.35095
Sparber, C.; Carrillo, J. A.; Dolbeault, J.; Markowich, P. A.
12
2004
Identification of doping profiles in semiconductor devices. Zbl 0989.35139
Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola
12
2001
Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. I: Homogeneous problems. Zbl 1079.81026
Gosse, Laurent; Markowich, Peter A.
12
2004
On Maxwellian equilibria of insulated semiconductors. Zbl 0961.35158
Caffarelli, Luis; Dolbeault, Jean; Markowich, Peter A.; Schmeiser, Christian
12
2000
Global existence and asymptotic behavior for a semiconductor drift-diffusion-Poisson model. Zbl 1157.35013
Wu, Hao; Markowich, Peter A.; Zheng, Songmu
12
2008
High field approximations of the spherical harmonics expansion model for semiconductors. Zbl 1174.82345
Ben Abdallah, N.; Degond, P.; Markowich, P.; Schmeiser, C.
11
2001
Macroscopic theory of charged quantum fluids. Zbl 0882.76107
Gasser, I.; Markowich, P. A.; Schmidt, D.; Unterreiter, A.
11
1995
An asymptotic analysis of one-dimensional models of semiconductur devices. Zbl 0639.34016
Markowich, P. A.; Ringhofer, C. A.; Schmeiser, C.
10
1986
Conditioning of the steady state semiconductor device problem. Zbl 0699.35046
Ascher, U.; Markowich, P. A.; Schmeiser, C.; Steinrück, Herbert; Weiss, R.
10
1989
Classical limit for semirelativistic Hartree systems. Zbl 1152.81307
Aki, Gonca L.; Markowich, Peter A.; Sparber, Christof
10
2008
The drift-diffusion limit for electron-phonon interaction in semiconductors. Zbl 0884.45006
Markowich, Peter A.; Schmeiser, Christian
10
1997
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
10
2019
Emergence of biological transportation networks as a self-regulated process. Zbl 1518.35216
Haskovec, Jan; Markowich, Peter; Portaro, Simone
1
2023
Tensor PDE model of biological network formation. Zbl 1492.35365
Haskovec, Jan; Markowich, Peter; Pilli, Giulia
1
2022
Selection dynamics for deep neural networks. Zbl 1448.49029
Liu, Hailiang; Markowich, Peter
3
2020
ODE- and PDE-based modeling of biological transportation networks. Zbl 1433.35421
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
14
2019
Rigorous continuum limit for the discrete network formation problem. Zbl 1428.35652
Haskovec, Jan; Kreusser, Lisa Maria; Markowich, Peter
13
2019
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
10
2019
Auxin transport model for leaf venation. Zbl 1472.92147
Haskovec, Jan; Jönsson, Henrik; Kreusser, Lisa Maria; Markowich, Peter
6
2019
Implicit and semi-implicit numerical schemes for the gradient flow of the formation of biological transport networks. Zbl 1437.65095
Fang, Di; Jin, Shi; Markowich, Peter; Perthame, Benoît
6
2019
Non-uniqueness of weak solutions of the quantum-hydrodynamic system. Zbl 1421.35004
Markowich, Peter; Sierra, Jesús
4
2019
Murray’s law for discrete and continuum models of biological networks. Zbl 1428.92029
Haskovec, Jan; Markowich, Peter; Pilli, Giulia
3
2019
Decay to equilibrium for energy-reaction-diffusion systems. Zbl 1387.35352
Haskovec, Jan; Hittmeir, Sabine; Markowich, Peter; Mielke, Alexander
16
2018
Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024
Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane
7
2018
Fundamental solutions for Schrödinger operators with general inverse square potentials. Zbl 1395.35002
Chen, Huyuan; Alhomedan, Suad; Hajaiej, Hichem; Markowich, Peter
5
2018
Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Zbl 1398.35245
Boďová, Katarína; Haskovec, Jan; Markowich, Peter
1
2018
Orbital stability of standing waves of a class of fractional Schrödinger equations with Hartree-type nonlinearity. Zbl 1375.35480
Cho, Yonggeun; Fall, Mouhamed M.; Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
6
2017
Complete study of the existence and uniqueness of solutions for semilinear elliptic equations involving measures concentrated on boundary. Zbl 1387.35603
Chen, Huyuan; Alhomedan, Suad; Hajaiej, Hichem; Markowich, Peter
4
2017
Existence of solutions to perturbed fractional Nirenberg problems. Zbl 1359.35210
Abdelhedi, Wael; Alhemedan, Suad; Chtioui, Hichem; Hajaiej, Hichem; Markowich, Peter A.
1
2017
Continuous data assimilation for the three-dimensional Brinkman-Forchheimer-extended Darcy model. Zbl 1339.35246
Markowich, Peter A.; Titi, Edriss S.; Trabelsi, Saber
78
2016
Notes on a PDE system for biological network formation. Zbl 1334.35101
Haskovec, Jan; Markowich, Peter; Perthame, Benoît; Schlottbom, Matthias
23
2016
Biological transportation networks: modeling and simulation. Zbl 1329.35313
Albi, Giacomo; Artina, Marco; Foransier, Massimo; Markowich, Peter A.
21
2016
Parabolic free boundary price formation models under market size fluctuations. Zbl 1355.35184
Markowich, Peter; Teichmann, Josef; Wolfram, Marie-Therese
5
2016
On uniform decay of the entropy for reaction-diffusion systems. Zbl 1338.35245
Mielke, Alexander; Haskovec, Jan; Markowich, Peter A.
28
2015
Mathematical analysis of a PDE system for biological network formation. Zbl 1345.35120
Haskovec, Jan; Markowich, Peter; Perthame, Benoit
26
2015
On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability. Zbl 1318.35109
Sierra, Jesús; Kasimov, Aslan; Markowich, Peter; Weishäupl, Rada-Maria
4
2015
Hamiltonian evolution of monokinetic measures with rough momentum profile. Zbl 1329.35259
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
3
2015
On the classical limit of the Schrödinger equation. Zbl 1332.35312
Bardos, Claude; Golse, François; Markowich, Peter; Paul, Thierry
2
2015
Stationary solutions of Keller-Segel-type crowd motion and herding models: multiplicity and dynamical stability. Zbl 1336.35337
Dolbeault, Jean; Jankowiak, Gaspard; Markowich, Peter
2
2015
Numerical study of fractional nonlinear Schrödinger equations. Zbl 1372.65284
Klein, Christian; Sparber, Christof; Markowich, Peter
49
2014
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
47
2014
A convergent 2D finite-difference scheme for the Dirac-Poisson system and the simulation of graphene. Zbl 1349.65271
Brinkman, D.; Heitzinger, C.; Markowich, P. A.
23
2014
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
17
2014
On the XFEL Schrödinger equation: highly oscillatory magnetic potentials and time averaging. Zbl 1294.35129
Antonelli, Paolo; Athanassoulis, Agisillaos; Hajaiej, Hichem; Markowich, Peter
16
2014
Numerical simulations of X-ray free electron lasers (XFEL). Zbl 1319.78015
Antonelli, Paolo; Athanassoulis, Agissilaos; Huang, Zhongyi; Markowich, Peter A.
9
2014
On the asymptotic behavior of a Boltzmann-type price formation model. Zbl 1307.35302
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
9
2014
WKB analysis of Bohmian dynamics. Zbl 1341.35139
Figalli, A.; Klein, C.; Markowich, P.; Sparber, C.
6
2014
Multiconfiguration Hartree-Fock theory for pseudorelativistic systems: the time-dependent case. Zbl 1291.35256
Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
5
2014
Variational approach to the orbital stability of standing waves of the Gross-Pitaevskii equation. Zbl 1304.35655
Selem, Fouad Hadj; Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
5
2014
Minimizers of a class of constrained vectorial variational problems. I. Zbl 1307.49012
Hajaiej, Hichem; Markowich, Peter A.; Trabelsi, Saber
4
2014
Optimal bilinear control of Gross-Pitaevskii equations. Zbl 1277.49005
Hintermüller, Michael; Marahrens, Daniel; Markowich, Peter A.; Sparber, Christof
21
2013
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
19
2013
A drift-diffusion-reaction model for excitonic photovoltaic bilayers: asymptotic analysis and a 2D HDG finite element scheme. Zbl 1264.35118
Brinkman, Daniel; Fellner, Klemens; Markowich, Peter A.; Wolfram, Marie-Therese
13
2013
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach. Zbl 1250.76191
Chertock, A.; Fellner, K.; Kurganov, A.; Lorz, A.; Markowich, P. A.
81
2012
On the dynamics of Bohmian measures. Zbl 1256.35171
Markowich, Peter; Paul, Thierry; Sparber, Christof
6
2012
Mathematical and computational methods for semiclassical Schrödinger equations. Zbl 1233.65071
Jin, Shi; Markowich, Peter; Sparber, Christof
77
2011
On the Hughes’ model for pedestrian flow: the one-dimensional case. Zbl 1229.35139
Di Francesco, Marco; Markowich, Peter A.; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
43
2011
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
19
2011
On a price formation free boundary model by Lasry and Lions. Zbl 1216.91012
Caffarelli, Luis A.; Markowich, Peter A.; Pietschmann, Jan-F.
15
2011
On a price formation free boundary model by Lasry and Lions: the Neumann problem. Zbl 1233.91336
Caffarelli, Luis A.; Markowich, Peter A.; Wolfram, Marie-Therese
8
2011
Global solutions to the coupled chemotaxis-fluid equations. Zbl 1275.35005
Duan, Renjun; Lorz, Alexander; Markowich, Peter
258
2010
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior. Zbl 1276.35103
Di Francesco, Marco; Lorz, Alexander; Markowich, Peter A.
161
2010
Bohmian measures and their classical limit. Zbl 1195.81060
Markowich, Peter; Paul, Thierry; Sparber, Christof
10
2010
Numerical simulation of trapped dipolar quantum gases: collapse studies and vortex dynamics. Zbl 1188.81064
Huang, Zhongyi; Markowich, Peter A.; Sparber, Christof
4
2010
Decomposition-based method for high frequency waves in periodic media. Zbl 1227.35022
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
1
2010
Small velocity and finite temperature variations in kinetic relaxation models. Zbl 1186.82066
Aoki, Kazuo; Jüngel, Ansgar; Markowich, Peter A.
1
2010
Boltzmann and Fokker-Planck equations modelling opinion formation in the presence of strong leaders. Zbl 1195.91127
Düring, Bertram; Markowich, Peter; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
75
2009
On a parabolic free boundary equation modeling price formation. Zbl 1183.35278
Markowich, P. A.; Matevosyan, N.; Pietschmann, J.-F.; Wolfram, M.-T.
15
2009
On the Bloch decomposition based spectral method for wave propagation in periodic media. Zbl 1231.78019
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
3
2009
On the Gross-Pitaevskii equation for trapped dipolar quantum gases. Zbl 1157.35102
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
55
2008
The entropy dissipation method for spatially inhomogeneous reaction-diffusion-type systems. Zbl 1186.35101
Di Francesco, Marco; Fellner, Klemens; Markowich, Peter A.
14
2008
Numerical simulation of the nonlinear Schrödinger equation with multidimensional periodic potentials. Zbl 1173.65341
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
13
2008
Global existence and asymptotic behavior for a semiconductor drift-diffusion-Poisson model. Zbl 1157.35013
Wu, Hao; Markowich, Peter A.; Zheng, Songmu
12
2008
Classical limit for semirelativistic Hartree systems. Zbl 1152.81307
Aki, Gonca L.; Markowich, Peter A.; Sparber, Christof
10
2008
The Willmore functional and instabilities in the Cahn-Hilliard equation. Zbl 1154.35009
Burger, Martin; Chu, Shun-Yin; Markowich, Peter A.; Schönlieb, Carola-Bibiane
3
2008
Mathematical methods and modeling of biophysical phenomena. Zbl 1155.92302
Perthame, Benoit; Markowich, Peter; Zubelli, Jorge P.
2
2008
Numerical study of oscillatory regimes in the Kadomtsev-Petviashvili equation. Zbl 1128.37043
Klein, Christian; Sparber, Christof; Markowich, Peter
34
2007
Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian
24
2007
A Bloch decomposition – based split-step pseudospectral method for quantum dynamics with periodic potentials. Zbl 1136.65093
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof
17
2007
Applied partial differential equations: a visual approach. Zbl 1109.35001
Markowich, Peter A.
7
2007
Convergence rate of dimension reduction in Bose-Einstein condensates. Zbl 1196.82065
Bao, Weizhu; Ge, Yunyi; Jaksch, Dieter; Markowich, Peter A.; Weishäupl, Rada M.
4
2007
Kinetic relaxation models for energy transport. Zbl 1126.82034
Aoki, Kazuo; Markowich, Peter; Takata, Shigeru
3
2007
Inverse problems for semiconductors: models and methods. Zbl 1115.82039
Leitão, A.; Markowich, P. A.; Zubelli, J. P.
3
2007
A Hermite pseudo-spectral method for solving systems of Gross-Pitaevskii equations. Zbl 1151.35087
Weishäuptl, Rada M.; Schmeiser, Christian; Markowich, Peter A.; Borgna, Juan Pablo
3
2007
Model hierarchies for cell aggregation by chemotaxis. Zbl 1094.92009
Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander
52
2006
Quasi-neutral limit of the drift diffusion models for semiconductors: the case of general sign-changing doping profile. Zbl 1103.76070
Wang, Shu; Xin, Zhouping; Markowich, Peter A.
21
2006
On inverse doping profile problems for the stationary voltage-current map. Zbl 1099.35173
Leitão, A.; Markowich, P. A.; Zubelli, J. P.
7
2006
Ground, symmetric and central vortex states in rotating Bose-Einstein condensates. Zbl 1073.82004
Bao, Weizhu; Wang, Hanquan; Markowich, Peter A.
69
2005
A time-splitting spectral scheme for the Maxwell-Dirac system. Zbl 1070.81040
Huang, Zhongyi; Jin, Shi; Markowich, Peter A.; Sparber, Christof; Zheng, Chunxiong
51
2005
Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031
Markowich, Peter A.; Pareschi, Lorenzo
15
2005
On the Gross-Pitaevskii equation with strongly anisotropic confinement: formal asymptotics and numerical experiments. Zbl 1075.35073
Bao, Weizhu; Markowich, Peter A.; Schmeiser, Christian; Weishäupl, Rada M.
9
2005
Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005
Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian
134
2004
Numerical simulation of a generalized Zakharov system. Zbl 1079.65101
Jin, Shi; Markowich, Peter A.; Zheng, Chunxiong
40
2004
Entropies and equilibria of many-particle systems: an essay on recent research. Zbl 1063.35109
Arnold, A.; Carrillo, J. A.; Desvillettes, L.; Dolbeault, J.; Jüngel, A.; Lederman, C.; Markowich, P. A.; Toscani, G.; Villani, C.
35
2004
An analysis of quantum Fokker-Planck models: a Wigner function approach. Zbl 1062.35097
Arnold, Anton; López, José L.; Markowich, Peter A.; Soler, Juan
29
2004
Semiclassical asymptotics for weakly nonlinear Bloch waves. Zbl 1104.81049
Carles, Rémi; Markowich, Peter A.; Sparber, Christof
16
2004
On the long-time behavior of the quantum Fokker-Planck equation. Zbl 1061.35095
Sparber, C.; Carrillo, J. A.; Dolbeault, J.; Markowich, P. A.
12
2004
Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice. I: Homogeneous problems. Zbl 1079.81026
Gosse, Laurent; Markowich, Peter A.
12
2004
Steady states for Streater’s energy-transport models of self-gravitating particles. Zbl 1044.82013
Biler, Piotr; Dolbeault, Jean; Esteban, Maria J.; Markowich, Peter A.; Nadzieja, Tadeusz
8
2004
On inverse problems for semiconductor equations. Zbl 1214.82122
Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A.
6
2004
Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344
Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A.
4
2004
Entropy dissipation and Wasserstein metric methods for the viscous Burgers’ equation: Convergence to diffusive waves. Zbl 1062.35111
Di Francesco, Marco; Markowich, Peter A.
1
2004
Erratum: “Semiclassical asymptotics for the Maxwell-Dirac system”. Zbl 1064.81508
Sparber, C.; Markowich, P.
1
2004
Behavior of the free boundary near contact points with the fixed boundary for nonlinear elliptic equations. Zbl 1064.35215
Matevosyan, Norayr; Markowich, Peter A.
1
2004
Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation. Zbl 1028.82501
Bao, Weizhu; Jaksch, Dieter; Markowich, Peter A.
171
2003
Numerical study of time-splitting spectral discretizations of nonlinear Schrödinger equations in the semiclassical regimes. Zbl 1038.65099
Bao, Weizhu; Jin, Shi; Markowich, Peter A.
108
2003
The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Zbl 1045.35088
Hsiao, Ling; Markowich, Peter A.; Wang, Shu
53
2003
Wigner functions versus WKB-methods in multivalued geometrical optics. Zbl 1069.81552
Sparber, Christof; Markowich, Peter A.; Mauser, Norbert J.
30
2003
Semiclassical asymptotics for the Maxwell-Dirac system. Zbl 1062.81059
Sparber, C.; Markowich, P.
20
2003
On fast-diffusion equations with infinite equilibrium entropy and finite equilibrium mass. Zbl 1024.35040
Lederman, Claudia; Markowich, Peter A.
16
2003
Scattering of solitons of the Klein-Gordon equation coupled to a classical particle. Zbl 1061.35070
Imaikin, Valery; Komech, Alexander; Markowich, Peter A.
13
2003
Recent progress on quantum hydrodynamic models for semiconductors. Zbl 1134.82338
Jüngel, Ansgar; Li, Hailiang; Markowich, Peter A.; Wang, Shu
2
2003
...and 91 more Documents
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Cited by 3,538 Authors

72 Markowich, Peter Alexander
50 Winkler, Michael
49 Bao, Weizhu
47 Carrillo de la Plata, José Antonio
44 Wang, Shu
42 Dolbeault, Jean
42 Jüngel, Ansgar
36 Jin, Shi
33 Li, Yeping
28 Toscani, Giuseppe
27 Bellomo, Nicola
26 Zhang, Kaijun
25 Degond, Pierre
25 Liu, Hailiang
24 Arnold, Anton
24 Li, Hailiang
24 Mei, Ming
24 Sparber, Christof
23 Xiang, Zhaoyin
23 Zheng, Jiashan
22 Peng, Yuejun
22 Soler, Juan S.
21 Cai, Yongyong
21 Méhats, Florian
21 Perthame, Benoît
20 Carles, Rémi
20 Klein, Christian
20 Wang, Tingchun
19 Martínez Gamba, Irene
19 Schmeiser, Christian
18 Bal, Guillaume
18 Ben Abdallah, Naoufel
18 Guo, Boling
17 Feng, Binhua
17 López, José Luis
17 Mauser, Norbert Julius
17 Paul, Thierry
17 Ryzhik, Lenya
17 Wolfram, Marie-Therese
16 Hsiao, Ling
16 Kang, Kyungkeun
16 Klar, Axel
16 Pareschi, Lorenzo
16 Tan, Zhong
16 Tang, Qinglin
15 Burger, Martin
15 Chainais-Hillairet, Claire
15 Fermanian-Kammerer, Clotilde
15 Gosse, Laurent
15 Liu, Chun
15 Lu, Jianfeng
15 Marcati, Pierangelo
14 Calvez, Vincent
14 Chen, Li
14 Feng, Yuehong
14 Tang, Xianhua
14 Wang, Hanquan
14 Wang, Yulan
14 Zhang, Guojing
14 Zhang, Qian
14 Zweifel, Paul F.
13 Goudon, Thierry
13 Pinaud, Olivier
13 Romano, Vittorio
13 Tao, Youshan
13 Vauchelet, Nicolas
13 Xu, Jiang
13 Yang, Xu
12 Antoine, Xavier
12 Antonelli, Paolo
12 Fellner, Klemens
12 Ha, Seung-Yeal
12 Lange, Horst
12 Mielke, Alexander
12 Mohan, Manil Thankamani
12 Titi, Edriss Saleh
12 Yang, Jianwei
12 Yu, Huimin
11 Chen, Sitong
11 Chien, Cheng-Sheng
11 Di Francesco, Marco
11 Haskovec, Jan
11 Li, Xianggui
11 Masmoudi, Nader
11 Nieto, Juanjo
11 Sacco, Riccardo
11 Su, Chunmei
11 Vazquez, Juan Luis
11 Yin, Jia
11 Zanella, Mattia
11 Zhong, Mingying
11 Zhou, Zhennan
10 Barletti, Luigi
10 Hajaiej, Hichem
10 Li, Bin
10 Li, Jiyong
10 Liu, Jianguo
10 Pietschmann, Jan-Frederik
10 Poupaud, Frédéric
10 Ringhofer, Christian A.
...and 3,438 more Authors
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Cited in 357 Serials

197 Journal of Differential Equations
166 Journal of Computational Physics
148 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
105 Journal of Mathematical Analysis and Applications
68 Archive for Rational Mechanics and Analysis
68 Journal of Mathematical Physics
61 SIAM Journal on Mathematical Analysis
58 Nonlinear Analysis. Real World Applications
56 ZAMP. Zeitschrift für angewandte Mathematik und Physik
54 Journal of Statistical Physics
51 Applied Mathematics Letters
51 Kinetic and Related Models
50 Journal of Scientific Computing
49 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
48 Discrete and Continuous Dynamical Systems
46 Communications in Partial Differential Equations
45 Mathematical Methods in the Applied Sciences
43 Journal of Computational and Applied Mathematics
42 Discrete and Continuous Dynamical Systems. Series B
41 Computer Physics Communications
40 Physica D
39 Applied Mathematics and Computation
36 Physics Letters. A
35 Multiscale Modeling & Simulation
34 Communications in Mathematical Physics
34 Journal of Functional Analysis
33 Computers & Mathematics with Applications
31 Transport Theory and Statistical Physics
31 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
31 Applied Numerical Mathematics
30 SIAM Journal on Applied Mathematics
28 Journal de Mathématiques Pures et Appliquées. Neuvième Série
27 Mathematical and Computer Modelling
27 Calculus of Variations and Partial Differential Equations
26 Nonlinearity
26 Mathematics of Computation
25 Applicable Analysis
25 Comptes Rendus. Mathématique. Académie des Sciences, Paris
25 Communications on Pure and Applied Analysis
22 SIAM Journal on Numerical Analysis
22 Numerical Methods for Partial Differential Equations
21 Physica A
21 Numerische Mathematik
20 Journal of Nonlinear Science
20 SIAM Journal on Scientific Computing
18 Networks and Heterogeneous Media
17 Acta Applicandae Mathematicae
16 Computer Methods in Applied Mechanics and Engineering
16 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
15 Numerical Algorithms
15 Communications in Nonlinear Science and Numerical Simulation
15 Annales Henri Poincaré
15 Communications in Computational Physics
15 Science China. Mathematics
14 Journal of Mathematical Biology
14 International Journal of Computer Mathematics
14 Journal of Evolution Equations
13 Discrete and Continuous Dynamical Systems. Series S
12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
12 Boundary Value Problems
11 Quarterly of Applied Mathematics
11 Journal of Dynamics and Differential Equations
11 Journal of Mathematical Fluid Mechanics
10 Wave Motion
10 Applied Mathematics and Optimization
10 Mathematics and Computers in Simulation
10 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
10 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
10 Acta Mathematica Scientia. Series B. (English Edition)
9 Chaos, Solitons and Fractals
9 SIAM Journal on Control and Optimization
9 Chinese Annals of Mathematics. Series B
9 European Journal of Applied Mathematics
9 Annals of Physics
9 Journal of Hyperbolic Differential Equations
9 Journal of Physics A: Mathematical and Theoretical
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Computational and Applied Mathematics
8 NoDEA. Nonlinear Differential Equations and Applications
8 Foundations of Computational Mathematics
8 Advanced Nonlinear Studies
8 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
7 International Journal of Theoretical Physics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 BIT
7 COMPEL
7 Electronic Journal of Differential Equations (EJDE)
7 SIAM Journal on Applied Dynamical Systems
7 Analysis and Applications (Singapore)
7 Evolution Equations and Control Theory
7 Nonlinear Analysis. Theory, Methods & Applications
7 Research in the Mathematical Sciences
6 Astrophysics and Space Science
6 Inverse Problems
6 Reports on Mathematical Physics
6 Bulletin of Mathematical Biology
6 Monatshefte für Mathematik
6 Studies in Applied Mathematics
6 RAIRO. Modélisation Mathématique et Analyse Numérique
6 Acta Mathematicae Applicatae Sinica. English Series
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Cited in 50 Fields

2,527 Partial differential equations (35-XX)
830 Numerical analysis (65-XX)
819 Statistical mechanics, structure of matter (82-XX)
703 Fluid mechanics (76-XX)
542 Biology and other natural sciences (92-XX)
427 Quantum theory (81-XX)
217 Optics, electromagnetic theory (78-XX)
140 Probability theory and stochastic processes (60-XX)
136 Dynamical systems and ergodic theory (37-XX)
130 Calculus of variations and optimal control; optimization (49-XX)
114 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
105 Ordinary differential equations (34-XX)
91 Operator theory (47-XX)
78 Systems theory; control (93-XX)
71 Integral equations (45-XX)
54 Mechanics of deformable solids (74-XX)
49 Functional analysis (46-XX)
49 Operations research, mathematical programming (90-XX)
48 Real functions (26-XX)
39 Global analysis, analysis on manifolds (58-XX)
34 Information and communication theory, circuits (94-XX)
32 Classical thermodynamics, heat transfer (80-XX)
28 Astronomy and astrophysics (85-XX)
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26 Mechanics of particles and systems (70-XX)
21 Approximations and expansions (41-XX)
21 Computer science (68-XX)
12 General and overarching topics; collections (00-XX)
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