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## Schmeiser, Christian

Compute Distance To:
 Author ID: schmeiser.christian Published as: Schmeiser, Christian; Schmeiser, C.; Schmeiser, Ch. Homepage: http://homepage.univie.ac.at/christian.schmeiser/ External Links: IdRef · MGP · Wikidata · ORCID · GND
 Documents Indexed: 123 Publications since 1984, including 1 Book
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#### Co-Authors

 11 single-authored 24 Markowich, Peter Alexander 15 Degond, Pierre 10 Dolbeault, Jean 8 Ölz, Dietmar 7 Cuesta Romero, Carlota Maria 6 Fellner, Klemens 6 Haskovec, Jan 5 Cordier, Stéphane 5 Hittmeir, Sabine 5 Poupaud, Frédéric 4 Ben Abdallah, Naoufel 4 Bouin, Emeric 4 Mouhot, Clément 4 Ringhofer, Christian A. 4 Weiss, Richard Mark 3 Gasser, Ingenuin 3 Manhart, Angelika 3 Miljanović, Vera 3 Neumann, Lukas 3 Nouri, Anne 3 Perthame, Benoît 3 Sfakianakis, Nikolaos I. 3 Unterreiter, Andreas 3 Zwirchmayr, Alexander 2 Aceves-Sánchez, Pedro 2 Ascher, Uri M. 2 Chalub, Fabio A. C. C. 2 Choquet, Isabelle 2 Dolak-Struss, Yasmin 2 Dolak, Yasmin 2 Favre, Gianluca 2 Hirsch, Stefanie 2 Jüngel, Ansgar 2 Klar, Axel 2 Levermore, C. David 2 O’Malley, Robert E. jun. 2 Peurichard, Diane 2 Soreff, Alexander 2 Tang, Min 2 Vauchelet, Nicolas 2 Weishäupl, Rada-Maria 1 Achleitner, Franz 1 Anguige, Keith 1 Bao, Weizhu 1 Borgna, Juan Pablo 1 Brezzi, Franco 1 Brunk, Aaron 1 Burger, Martin 1 Caffarelli, Luis Ángel 1 Calvez, Vincent 1 Cerreti, Fiammetta 1 Chaker, Hédia 1 Freistühler, Heinrich 1 Goudon, Thierry 1 Grandits, Peter 1 Hänsch, W. 1 Hillen, Thomas 1 Illner, Reinhard 1 Jankowiak, Gaspard 1 Lafleche, Laurent 1 López, José Luis 1 Masmoudi, Nader 1 Méhats, Florian 1 Mei, Ming 1 Mischler, Stéphane 1 Painter, Kevin J. 1 Pietra, Paola 1 Pimbley, J. M. 1 Ranetbauer, Helene 1 Raoul, Gaël 1 Reversat, Anne 1 Schwendeman, Donald W. 1 Selberherr, Siegfried 1 Sixt, Michael 1 Steinrück, Herbert 1 Tayeb, Mohamed Lazhar 1 Wang, Shu 1 Weishäuptl, Rada M. 1 Winkler, Christoph 1 Wolfram, Marie-Therese 1 Yamnahakki, A. 1 Zamponi, Nicola
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#### Serials

 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 SIAM Journal on Applied Mathematics 7 SIAM Journal on Mathematical Analysis 7 Kinetic and Related Models 6 Journal of Statistical Physics 5 Journal of Mathematical Biology 5 Monatshefte für Mathematik 4 Transport Theory and Statistical Physics 4 Communications in Mathematical Sciences 3 IMA Journal of Applied Mathematics 3 Mathematical Methods in the Applied Sciences 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 SIAM Journal on Numerical Analysis 2 Archive for Rational Mechanics and Analysis 2 Quarterly of Applied Mathematics 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Asymptotic Analysis 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Discrete and Continuous Dynamical Systems 2 Journal of Theoretical Biology 1 Applicable Analysis 1 Journal of Mathematical Physics 1 Nonlinearity 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Funkcialaj Ekvacioj. Serio Internacia 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 Internationale Mathematische Nachrichten 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Communications in Partial Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 NoDEA. Nonlinear Differential Equations and Applications 1 Interfaces and Free Boundaries 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 AMRX. Applied Mathematics Research eXpress 1 Mathematical Medicine and Biology 1 Journal of Hyperbolic Differential Equations 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Rivista di Matematica della Università di Parma. Serie 8 1 Biomath 1 Pure and Applied Analysis
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#### Fields

 77 Partial differential equations (35-XX) 48 Statistical mechanics, structure of matter (82-XX) 31 Fluid mechanics (76-XX) 25 Biology and other natural sciences (92-XX) 21 Optics, electromagnetic theory (78-XX) 14 Ordinary differential equations (34-XX) 14 Numerical analysis (65-XX) 9 Integral equations (45-XX) 4 Real functions (26-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

102 Publications have been cited 1,517 times in 1,125 Documents Cited by Year
Semiconductor equations. Zbl 0765.35001
Markowich, Peter A.; Ringhofer, Christian A.; Schmeiser, Christian
1990
Kinetic models for chemotaxis and their drift-diffusion limits. Zbl 1052.92005
Chalub, Fabio A. C. C.; Markowich, Peter A.; Perthame, Benoît; Schmeiser, Christian
2004
Hypocoercivity for linear kinetic equations conserving mass. Zbl 1342.82115
Dolbeault, Jean; Mouhot, Clément; Schmeiser, Christian
2015
Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms. Zbl 1077.92003
Dolak, Y.; Schmeiser, C.
2005
Model hierarchies for cell aggregation by chemotaxis. Zbl 1094.92009
Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander
2006
The Keller–Segel model with logistic sensitivity function and small diffusivity. Zbl 1102.35011
Dolak, Yasmin; Schmeiser, Christian
2005
Hypocoercivity for kinetic equations with linear relaxation terms. Zbl 1177.35054
Dolbeault, Jean; Mouhot, Clément; Schmeiser, Christian
2009
Global existence for chemotaxis with finite sampling radius. Zbl 1116.92011
Hillen, T.; Painter, K.; Schmeiser, C.
2007
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
1991
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
2001
The two-dimensional Keller-Segel model after blow-up. Zbl 1180.35131
Dolbeault, Jean; Schmeiser, Christian
2009
A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion. Zbl 1162.92009
Anguige, K.; Schmeiser, C.
2009
Moment methods for the semiconductor Boltzmann equation on bounded position domains. Zbl 0994.82080
Ringhofer, C.; Schmeiser, C.; Zwirchmayr, A.
2001
A note on the anisotropic generalizations of the Sobolev and Morrey embedding theorems. Zbl 1177.46022
Haškovec, Jan; Schmeiser, Christian
2009
Uniform asymptotic representation of solutions of the basic semiconductor-device equations. Zbl 0614.34013
Markowich, Peter A.; Schmeiser, Christian
1986
Convergence of a stochastic particle approximation for measure solutions of the 2D Keller-Segel system. Zbl 1229.35111
Haškovec, Jan; Schmeiser, Christian
2011
Stochastic particle approximation for measure valued solutions of the 2D Keller-Segel system. Zbl 1173.82021
Haškovec, Jan; Schmeiser, Christian
2009
Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian
2007
Travelling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities. Zbl 1223.35102
Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas
2011
Asymptotic analysis of singular singularly perturbed boundary value problems. Zbl 0595.34019
Schmeiser, Christian; Weiss, Richard
1986
Numerical passage from radiative heat transfer to nonlinear diffusion models. Zbl 1012.82016
Klar, A.; Schmeiser, C.
2001
Derivation of a model for symmetric lamellipodia with instantaneous cross-link turnover. Zbl 1221.92033
Oelz, Dietmar; Schmeiser, Christian
2010
The nonlinear Schrödinger equation with a strongly anisotropic harmonic potential. Zbl 1094.35114
Ben Abdallah, Naoufel; Méhats, Florian; Schmeiser, Christian; Weishäupl, Rada M.
2005
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions. Zbl 1165.35471
Burger, Martin; Dolak-Struss, Yasmin; Schmeiser, Christian
2008
Charge transport in semiconductors with degeneracy effects. Zbl 0733.76062
Poupaud, Frédéric; Schmeiser, Christian
1991
Macroscopic models for semiconductor heterostructures. Zbl 0938.82049
Degond, P.; Schmeiser, C.
1998
Semiclassical, $$t\to \infty$$ asymptotics and dispersive effects for Hartree-Fock systems. Zbl 0924.35125
Gasser, I.; Illner, R.; Markowich, P. A.; Schmeiser, C.
1998
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.
1995
Confinement by biased velocity jumps: aggregation of Escherichia coli. Zbl 1337.35155
Calvez, Vincent; Raoul, Gaël; Schmeiser, Christian
2015
Convergence of moment methods for linear kinetic equations. Zbl 0938.76096
Schmeiser, Christian; Zwirchmayr, Alexander
1998
Quasineutral limit of the drift-diffusion model for semiconductors with general initial data. Zbl 1053.82035
Schmeiser, Christian; Wang, Shu
2003
Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes. Zbl 1278.82044
Dolbeault, Jean; Klar, Axel; Mouhot, Clément; Schmeiser, Christian
2013
An approximate Newton method for the solution of the basic semiconductor device equations. Zbl 0667.65098
Ringhofer, C.; Schmeiser, C.
1989
High field approximations of the spherical harmonics expansion model for semiconductors. Zbl 1174.82345
Ben Abdallah, N.; Degond, P.; Markowich, P.; Schmeiser, C.
2001
Convergence to global equilibrium for spatially inhomogeneous kinetic models of non-micro-reversible processes. Zbl 1112.82038
Fellner, Klemens; Neumann, Lukas; Schmeiser, Christian
2004
Travelling wave analysis of an isothermal Euler-Poisson model. Zbl 0884.35126
Cordier, S.; Degond, P.; Markowich, P.; Schmeiser, C.
1996
Existence of solutions of a kinetic equation modeling cometary flows. Zbl 0964.82050
Degond, Pierre; López, José L.; Poupaud, Frédéric; Schmeiser, Christian
1999
Burgers-Poisson: a nonlinear dispersive model equation. Zbl 1053.35092
Fellner, Klemens; Schmeiser, Christian
2004
An extended filament based lamellipodium model produces various moving cell shapes in the presence of chemotactic signals. Zbl 1343.92075
Manhart, Angelika; Oelz, Dietmar; Schmeiser, Christian; Sfakianakis, Nikolaos
2015
An asymptotic analysis of one-dimensional models of semiconductur devices. Zbl 0639.34016
Markowich, P. A.; Ringhofer, C. A.; Schmeiser, C.
1986
Kinetic boundary layers and fluid-kinetic coupling in semiconductors. Zbl 0942.35162
Degond, Pierre; Schmeiser, Christian
1999
The drift-diffusion limit for electron-phonon interaction in semiconductors. Zbl 0884.45006
Markowich, Peter A.; Schmeiser, Christian
1997
Elastic and drift-diffusion limits of electron-phonon interaction in semiconductors. Zbl 0957.82035
Schmeiser, Christian; Zwirchmayr, Alexander
1998
Existence and convergence to equilibrium of a kinetic model for cometary flows. Zbl 1072.82028
Fellner, Klemens; Poupaud, Frederic; Schmeiser, Christian
2004
Conditioning of the steady state semiconductor device problem. Zbl 0699.35046
Ascher, U.; Markowich, P. A.; Schmeiser, C.; Steinrück, Herbert; Weiss, R.
1989
Waves for a hyperbolic Keller–Segel model and branching instabilities. Zbl 1221.35088
Cerreti, Fiammetta; Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas
2011
Traveling waves of a kinetic transport model for the KPP-Fisher equation. Zbl 1259.35119
Cuesta, Carlota M.; Hittmeir, Sabine; Schmeiser, Christian
2012
On Maxwellian equilibria of insulated semiconductors. Zbl 0961.35158
Caffarelli, Luis; Dolbeault, Jean; Markowich, Peter A.; Schmeiser, Christian
2000
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.
2005
On nonlinear conservation laws with a nonlocal diffusion term. Zbl 1213.47066
Achleitner, F.; Hittmeir, S.; Schmeiser, C.
2011
Convergence to equilibrium for the linearized cometary flow equation. Zbl 1129.82036
Fellner, Klemens; Miljanović, Vera; Schmeiser, Christian
2006
Diffusion approximation of nonlinear electron phonon collision mechanisms. Zbl 0840.45011
Markowich, P. A.; Poupaud, F.; Schmeiser, C.
1995
Classification of equilibrium solutions of the cometary flow equation and explicit solutions of the Euler equations for monatomic ideal gases. Zbl 1131.82037
Fellner, Klemens; Schmeiser, Christian
2007
Relaxation time approximation for electron-phonon interaction in semiconductors. Zbl 0832.65142
Markowich, Peter A.; Schmeiser, Christian
1995
Asymptotic profiles of solutions for the BBM-Burgers equation. Zbl 1142.35574
Mei, Ming; Schmeiser, Christian
2001
Travelling wave analysis and jump relations for Euler-Poisson model in the quasineutral limit. Zbl 0849.35105
Cordier, Stéphane; Degond, Pierre; Markowich, Peter; Schmeiser, Christian
1995
Energy-transport models for charge carriers involving impact ionization in semiconductors. Zbl 1057.82015
Choquet, Isabelle; Degond, Pierre; Schmeiser, Christian
2003
Quasineutral limit of travelling waves for the Euler-Poisson model. Zbl 0874.76097
Cordier, S.; Degond, P.; Markowich, P.; Schmeiser, C.
1995
Convergence to global equilibrium for a kinetic fermion model. Zbl 1130.82022
Neumann, Lukas; Schmeiser, Christian
2005
Simulation of lamellipodial fragments. Zbl 1284.92019
Oelz, Dietmar; Schmeiser, Christian
2012
Derivation and analysis of continuum models for crossing Pedestrian traffic. Zbl 1371.35163
Hittmeir, Sabine; Ranetbauer, Helene; Schmeiser, Christian; Wolfram, Marie-Therese
2017
On a mathematical model for hot carrier injection in semiconductors. Zbl 0812.35137
Ben Abdallah, Naoufel; Degond, Pierre; Schmeiser, Christian
1994
Fractional-diffusion-advection limit of a kinetic model. Zbl 1351.35246
Aceves-Sánchez, Pedro; Schmeiser, Christian
2016
Macroscopic models for ionization in the presence of strong electric fields. Zbl 1018.82021
Degond, P.; Nouri, A.; Schmeiser, C.
2000
A note on the energy-transport limit of the semiconductor Boltzmann equation. Zbl 1047.82023
Degond, Pierre; Levermore, C. David; Schmeiser, Christian
2004
A singular perturbation analysis of reverse biased pn-junctions. Zbl 0707.35009
Schmeiser, Christian
1990
Macroscopic models for almost elastic nonlinear electron-phonon interaction in semiconductors. Zbl 0962.82086
Schmeiser, Christian
1999
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
2007
Fractional diffusion limit of a linear kinetic equation in a bounded domain. Zbl 1353.76074
Aceves-Sánchez, Pedro; Schmeiser, Christian
2017
Existence of and decay to equilibrium of the filament end density along the leading edge of the lamellipodium. Zbl 1414.35241
Manhart, Angelika; Schmeiser, Christian
2017
Asymptotic and numerical methods for singular singularly perturbed boundary value problems in ordinary differential equations. Zbl 0672.65071
Schmeiser, Christian; Weiss, Richard
1984
Hypocoercivity without confinement. Zbl 1448.82035
Bouin, Emeric; Dolbeault, Jean; Mischler, Stéphane; Mouhot, Clément; Schmeiser, Christian
2020
Asymptotic analysis of kinetic equations for modeling a Schottky diode. Zbl 0866.35119
Degond, P.; Poupaud, F.; Schmeiser, C.; Yamnahakki, A.
1996
Weak shocks for a one-dimensional BGK kinetic model for conservation laws. Zbl 1115.35132
Cuesta, C. M.; Schmeiser, C.
2007
Aggregated steady states of a kinetic model for chemotaxis. Zbl 1352.35090
Schmeiser, Christian; Nouri, Anne
2017
The flatness of lamellipodia explained by the interaction between actin dynamics and membrane deformation. Zbl 1343.92054
Schmeiser, Christian; Winkler, Christoph
2015
Transport in semiconductors at saturated velocities. Zbl 1098.35108
2005
On the Shockley-Read-Hall model: generation-recombination in semiconductors. Zbl 1146.82007
Goudon, Thierry; Miljanović, Vera; Schmeiser, Christian
2007
Kinetic profiles for shock waves of scalar conservation laws. Zbl 1221.35294
Cuesta, C. M.; Schmeiser, C.
2007
The high field asymptotics for a fermionic Boltzmann equation: entropy solutions and kinetic shock profiles. Zbl 1165.35413
Ben Abdallah, Naoufel; Chaker, Hedia; Schmeiser, Christian
2007
The spherical harmonics expansion model coupled to the Poisson equation. Zbl 1347.35135
2011
Voltage-current characteristics of multi-dimensional semiconductor devices. Zbl 0800.35047
Schmeiser, Christian
1991
The transient behaviour of multidimensional PN-diodes in low injection. Zbl 0780.45007
Schmeiser, Christian; Unterreiter, Andreas
1993
The switching behavior of a one-dimensional PN-diode in low injection. Zbl 0774.65095
Schmeiser, C.; Unterreiter, A.; Weiss, R.
1993
The derivation of analytic device models by asymptotic methods. Zbl 0946.35505
Schmeiser, Christian; Unterreiter, Andreas
1994
Approximate solution of boundary value problems on infinite intervals by collocation methods. Zbl 0589.34015
Schmeiser, Christian
1986
On strongly reverse biased semiconductor diodes. Zbl 0683.34034
Schmeiser, Christian
1989
Hot electron transport in semiconductors. Zbl 0688.76064
Hänsch, W.; Schmeiser, C.
1989
Free boundaries in semiconductor devices. Zbl 0799.35207
Schmeiser, C.
1993
A model for the transient behaviour of long-channel MOSFETS. Zbl 0791.35066
Schmeiser, Christian
1994
Diffusive limit of a kinetic model for cometary flows. Zbl 1181.82055
2009
Mathematical modeling of myosin induced bistability of lamellipodial fragments. Zbl 1364.35384
Hirsch, Stefanie; Manhart, Angelika; Schmeiser, Christian
2017
A kinetic reaction model: decay to equilibrium and macroscopic limit. Zbl 1356.76296
Neumann, Lukas; Schmeiser, Christian
2016
Multistep navigation of leukocytes: a stochastic model with memory effects. Zbl 1080.92015
Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander
2005
Finite deformations of thin beams. Asymptotic analysis by singular perturbation methods. Zbl 0568.73043
Schmeiser, Christian
1985
Travelling wave analysis and jump relations for a fluid model of quasineutral plasma. Zbl 0805.76094
Cordier, Stéphane; Degond, Pierre; Markowich, Peter; Schmeiser, Christian
1994
A variational proof of Nash’s inequality. Zbl 1440.35070
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
2020
Diffusion and kinetic transport with very weak confinement. Zbl 1434.35237
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
2020
Stable length distributions in colocalized polymerizing and depolymerizing protein filaments. Zbl 1325.92029
Freistühler, Heinrich; Schmeiser, Christian; Sfakianakis, Nikolaos
2012
Modelling cell-cell collision and adhesion with the filament based lamellipodium model. Zbl 1425.92035
Sfakianakis, Nikolaos; Peurichard, Diane; Brunk, Aaron; Schmeiser, Christian
2018
Hypocoercivity and sub-exponential local equilibria. Zbl 1456.82811
Bouin, E.; Dolbeault, J.; Lafleche, L.; Schmeiser, C.
2021
Hypocoercivity without confinement. Zbl 1448.82035
Bouin, Emeric; Dolbeault, Jean; Mischler, Stéphane; Mouhot, Clément; Schmeiser, Christian
2020
A variational proof of Nash’s inequality. Zbl 1440.35070
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
2020
Diffusion and kinetic transport with very weak confinement. Zbl 1434.35237
Bouin, Emeric; Dolbeault, Jean; Schmeiser, Christian
2020
Modelling cell-cell collision and adhesion with the filament based lamellipodium model. Zbl 1425.92035
Sfakianakis, Nikolaos; Peurichard, Diane; Brunk, Aaron; Schmeiser, Christian
2018
Derivation and analysis of continuum models for crossing Pedestrian traffic. Zbl 1371.35163
Hittmeir, Sabine; Ranetbauer, Helene; Schmeiser, Christian; Wolfram, Marie-Therese
2017
Fractional diffusion limit of a linear kinetic equation in a bounded domain. Zbl 1353.76074
Aceves-Sánchez, Pedro; Schmeiser, Christian
2017
Existence of and decay to equilibrium of the filament end density along the leading edge of the lamellipodium. Zbl 1414.35241
Manhart, Angelika; Schmeiser, Christian
2017
Aggregated steady states of a kinetic model for chemotaxis. Zbl 1352.35090
Schmeiser, Christian; Nouri, Anne
2017
Mathematical modeling of myosin induced bistability of lamellipodial fragments. Zbl 1364.35384
Hirsch, Stefanie; Manhart, Angelika; Schmeiser, Christian
2017
Fractional-diffusion-advection limit of a kinetic model. Zbl 1351.35246
Aceves-Sánchez, Pedro; Schmeiser, Christian
2016
A kinetic reaction model: decay to equilibrium and macroscopic limit. Zbl 1356.76296
Neumann, Lukas; Schmeiser, Christian
2016
Hypocoercivity for linear kinetic equations conserving mass. Zbl 1342.82115
Dolbeault, Jean; Mouhot, Clément; Schmeiser, Christian
2015
Confinement by biased velocity jumps: aggregation of Escherichia coli. Zbl 1337.35155
Calvez, Vincent; Raoul, Gaël; Schmeiser, Christian
2015
An extended filament based lamellipodium model produces various moving cell shapes in the presence of chemotactic signals. Zbl 1343.92075
Manhart, Angelika; Oelz, Dietmar; Schmeiser, Christian; Sfakianakis, Nikolaos
2015
The flatness of lamellipodia explained by the interaction between actin dynamics and membrane deformation. Zbl 1343.92054
Schmeiser, Christian; Winkler, Christoph
2015
Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes. Zbl 1278.82044
Dolbeault, Jean; Klar, Axel; Mouhot, Clément; Schmeiser, Christian
2013
Traveling waves of a kinetic transport model for the KPP-Fisher equation. Zbl 1259.35119
Cuesta, Carlota M.; Hittmeir, Sabine; Schmeiser, Christian
2012
Simulation of lamellipodial fragments. Zbl 1284.92019
Oelz, Dietmar; Schmeiser, Christian
2012
Stable length distributions in colocalized polymerizing and depolymerizing protein filaments. Zbl 1325.92029
Freistühler, Heinrich; Schmeiser, Christian; Sfakianakis, Nikolaos
2012
Convergence of a stochastic particle approximation for measure solutions of the 2D Keller-Segel system. Zbl 1229.35111
Haškovec, Jan; Schmeiser, Christian
2011
Travelling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities. Zbl 1223.35102
Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas
2011
Waves for a hyperbolic Keller–Segel model and branching instabilities. Zbl 1221.35088
Cerreti, Fiammetta; Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas
2011
On nonlinear conservation laws with a nonlocal diffusion term. Zbl 1213.47066
Achleitner, F.; Hittmeir, S.; Schmeiser, C.
2011
The spherical harmonics expansion model coupled to the Poisson equation. Zbl 1347.35135
2011
Derivation of a model for symmetric lamellipodia with instantaneous cross-link turnover. Zbl 1221.92033
Oelz, Dietmar; Schmeiser, Christian
2010
How do cells move? Mathematical modeling of cytoskeleton dynamics and cell migration. Zbl 1404.92038
Ölz, Dietmar; Schmeiser, Christian
2010
Hypocoercivity for kinetic equations with linear relaxation terms. Zbl 1177.35054
Dolbeault, Jean; Mouhot, Clément; Schmeiser, Christian
2009
The two-dimensional Keller-Segel model after blow-up. Zbl 1180.35131
Dolbeault, Jean; Schmeiser, Christian
2009
A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion. Zbl 1162.92009
Anguige, K.; Schmeiser, C.
2009
A note on the anisotropic generalizations of the Sobolev and Morrey embedding theorems. Zbl 1177.46022
Haškovec, Jan; Schmeiser, Christian
2009
Stochastic particle approximation for measure valued solutions of the 2D Keller-Segel system. Zbl 1173.82021
Haškovec, Jan; Schmeiser, Christian
2009
Diffusive limit of a kinetic model for cometary flows. Zbl 1181.82055
2009
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions. Zbl 1165.35471
Burger, Martin; Dolak-Struss, Yasmin; Schmeiser, Christian
2008
Global existence for chemotaxis with finite sampling radius. Zbl 1116.92011
Hillen, T.; Painter, K.; Schmeiser, C.
2007
Nonlinear diffusion as limit of kinetic equations with relaxation collision kernels. Zbl 1148.76047
Dolbeault, Jean; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian
2007
Classification of equilibrium solutions of the cometary flow equation and explicit solutions of the Euler equations for monatomic ideal gases. Zbl 1131.82037
Fellner, Klemens; Schmeiser, Christian
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
2007
Weak shocks for a one-dimensional BGK kinetic model for conservation laws. Zbl 1115.35132
Cuesta, C. M.; Schmeiser, C.
2007
On the Shockley-Read-Hall model: generation-recombination in semiconductors. Zbl 1146.82007
Goudon, Thierry; Miljanović, Vera; Schmeiser, Christian
2007
Kinetic profiles for shock waves of scalar conservation laws. Zbl 1221.35294
Cuesta, C. M.; Schmeiser, C.
2007
The high field asymptotics for a fermionic Boltzmann equation: entropy solutions and kinetic shock profiles. Zbl 1165.35413
Ben Abdallah, Naoufel; Chaker, Hedia; Schmeiser, Christian
2007
Model hierarchies for cell aggregation by chemotaxis. Zbl 1094.92009
Chalub, Fabio; Dolak-Struss, Yasmin; Markowich, Peter; Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander
2006
Convergence to equilibrium for the linearized cometary flow equation. Zbl 1129.82036
Fellner, Klemens; Miljanović, Vera; Schmeiser, Christian
2006
Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms. Zbl 1077.92003
Dolak, Y.; Schmeiser, C.
2005
The Keller–Segel model with logistic sensitivity function and small diffusivity. Zbl 1102.35011
Dolak, Yasmin; Schmeiser, Christian
2005
The nonlinear Schrödinger equation with a strongly anisotropic harmonic potential. Zbl 1094.35114
Ben Abdallah, Naoufel; Méhats, Florian; Schmeiser, Christian; Weishäupl, Rada M.
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.
2005
Convergence to global equilibrium for a kinetic fermion model. Zbl 1130.82022
Neumann, Lukas; Schmeiser, Christian
2005
Transport in semiconductors at saturated velocities. Zbl 1098.35108
2005
Multistep navigation of leukocytes: a stochastic model with memory effects. Zbl 1080.92015
Oelz, Dietmar; Schmeiser, Christian; Soreff, Alexander
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
2004
Convergence to global equilibrium for spatially inhomogeneous kinetic models of non-micro-reversible processes. Zbl 1112.82038
Fellner, Klemens; Neumann, Lukas; Schmeiser, Christian
2004
Burgers-Poisson: a nonlinear dispersive model equation. Zbl 1053.35092
Fellner, Klemens; Schmeiser, Christian
2004
Existence and convergence to equilibrium of a kinetic model for cometary flows. Zbl 1072.82028
Fellner, Klemens; Poupaud, Frederic; Schmeiser, Christian
2004
A note on the energy-transport limit of the semiconductor Boltzmann equation. Zbl 1047.82023
Degond, Pierre; Levermore, C. David; Schmeiser, Christian
2004
Quasineutral limit of the drift-diffusion model for semiconductors with general initial data. Zbl 1053.82035
Schmeiser, Christian; Wang, Shu
2003
Energy-transport models for charge carriers involving impact ionization in semiconductors. Zbl 1057.82015
Choquet, Isabelle; Degond, Pierre; Schmeiser, Christian
2003
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
2001
Moment methods for the semiconductor Boltzmann equation on bounded position domains. Zbl 0994.82080
Ringhofer, C.; Schmeiser, C.; Zwirchmayr, A.
2001
Numerical passage from radiative heat transfer to nonlinear diffusion models. Zbl 1012.82016
Klar, A.; Schmeiser, C.
2001
High field approximations of the spherical harmonics expansion model for semiconductors. Zbl 1174.82345
Ben Abdallah, N.; Degond, P.; Markowich, P.; Schmeiser, C.
2001
Asymptotic profiles of solutions for the BBM-Burgers equation. Zbl 1142.35574
Mei, Ming; Schmeiser, Christian
2001
On Maxwellian equilibria of insulated semiconductors. Zbl 0961.35158
Caffarelli, Luis; Dolbeault, Jean; Markowich, Peter A.; Schmeiser, Christian
2000
Macroscopic models for ionization in the presence of strong electric fields. Zbl 1018.82021
Degond, P.; Nouri, A.; Schmeiser, C.
2000
Existence of solutions of a kinetic equation modeling cometary flows. Zbl 0964.82050
Degond, Pierre; López, José L.; Poupaud, Frédéric; Schmeiser, Christian
1999
Kinetic boundary layers and fluid-kinetic coupling in semiconductors. Zbl 0942.35162
Degond, Pierre; Schmeiser, Christian
1999
Macroscopic models for almost elastic nonlinear electron-phonon interaction in semiconductors. Zbl 0962.82086
Schmeiser, Christian
1999
Macroscopic models for semiconductor heterostructures. Zbl 0938.82049
Degond, P.; Schmeiser, C.
1998
Semiclassical, $$t\to \infty$$ asymptotics and dispersive effects for Hartree-Fock systems. Zbl 0924.35125
Gasser, I.; Illner, R.; Markowich, P. A.; Schmeiser, C.
1998
Convergence of moment methods for linear kinetic equations. Zbl 0938.76096
Schmeiser, Christian; Zwirchmayr, Alexander
1998
Elastic and drift-diffusion limits of electron-phonon interaction in semiconductors. Zbl 0957.82035
Schmeiser, Christian; Zwirchmayr, Alexander
1998
The drift-diffusion limit for electron-phonon interaction in semiconductors. Zbl 0884.45006
Markowich, Peter A.; Schmeiser, Christian
1997
Travelling wave analysis of an isothermal Euler-Poisson model. Zbl 0884.35126
Cordier, S.; Degond, P.; Markowich, P.; Schmeiser, C.
1996
Asymptotic analysis of kinetic equations for modeling a Schottky diode. Zbl 0866.35119
Degond, P.; Poupaud, F.; Schmeiser, C.; Yamnahakki, A.
1996
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.
1995
Diffusion approximation of nonlinear electron phonon collision mechanisms. Zbl 0840.45011
Markowich, P. A.; Poupaud, F.; Schmeiser, C.
1995
Relaxation time approximation for electron-phonon interaction in semiconductors. Zbl 0832.65142
Markowich, Peter A.; Schmeiser, Christian
1995
Travelling wave analysis and jump relations for Euler-Poisson model in the quasineutral limit. Zbl 0849.35105
Cordier, Stéphane; Degond, Pierre; Markowich, Peter; Schmeiser, Christian
1995
Quasineutral limit of travelling waves for the Euler-Poisson model. Zbl 0874.76097
Cordier, S.; Degond, P.; Markowich, P.; Schmeiser, C.
1995
On a mathematical model for hot carrier injection in semiconductors. Zbl 0812.35137
Ben Abdallah, Naoufel; Degond, Pierre; Schmeiser, Christian
1994
The derivation of analytic device models by asymptotic methods. Zbl 0946.35505
Schmeiser, Christian; Unterreiter, Andreas
1994
A model for the transient behaviour of long-channel MOSFETS. Zbl 0791.35066
Schmeiser, Christian
1994
Travelling wave analysis and jump relations for a fluid model of quasineutral plasma. Zbl 0805.76094
Cordier, Stéphane; Degond, Pierre; Markowich, Peter; Schmeiser, Christian
1994
The transient behaviour of multidimensional PN-diodes in low injection. Zbl 0780.45007
Schmeiser, Christian; Unterreiter, Andreas
1993
The switching behavior of a one-dimensional PN-diode in low injection. Zbl 0774.65095
Schmeiser, C.; Unterreiter, A.; Weiss, R.
1993
Free boundaries in semiconductor devices. Zbl 0799.35207
Schmeiser, C.
1993
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
1991
Charge transport in semiconductors with degeneracy effects. Zbl 0733.76062
Poupaud, Frédéric; Schmeiser, Christian
1991
Voltage-current characteristics of multi-dimensional semiconductor devices. Zbl 0800.35047
Schmeiser, Christian
1991
Semiconductor equations. Zbl 0765.35001
Markowich, Peter A.; Ringhofer, Christian A.; Schmeiser, Christian
1990
A singular perturbation analysis of reverse biased pn-junctions. Zbl 0707.35009
Schmeiser, Christian
1990
An approximate Newton method for the solution of the basic semiconductor device equations. Zbl 0667.65098
Ringhofer, C.; Schmeiser, C.
1989
Conditioning of the steady state semiconductor device problem. Zbl 0699.35046
Ascher, U.; Markowich, P. A.; Schmeiser, C.; Steinrück, Herbert; Weiss, R.
1989
On strongly reverse biased semiconductor diodes. Zbl 0683.34034
Schmeiser, Christian
1989
Hot electron transport in semiconductors. Zbl 0688.76064
Hänsch, W.; Schmeiser, C.
1989
Uniform asymptotic representation of solutions of the basic semiconductor-device equations. Zbl 0614.34013
Markowich, Peter A.; Schmeiser, Christian
1986
Asymptotic analysis of singular singularly perturbed boundary value problems. Zbl 0595.34019
Schmeiser, Christian; Weiss, Richard
1986
An asymptotic analysis of one-dimensional models of semiconductur devices. Zbl 0639.34016
Markowich, P. A.; Ringhofer, C. A.; Schmeiser, C.
1986
Approximate solution of boundary value problems on infinite intervals by collocation methods. Zbl 0589.34015
Schmeiser, Christian
1986
...and 2 more Documents
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#### Cited by 1,291 Authors

 39 Schmeiser, Christian 24 Degond, Pierre 22 Vauchelet, Nicolas 21 Carrillo de la Plata, José Antonio 21 Markowich, Peter Alexander 20 Bellomo, Nicola 20 Jüngel, Ansgar 20 Perthame, Benoît 20 Wang, Shu 17 Zhang, Kaijun 16 Dolbeault, Jean 14 Martínez Gamba, Irene 14 Jin, Shi 14 Peng, Yuejun 14 Soler, Juan S. 13 Calvez, Vincent 13 Mei, Ming 11 Fellner, Klemens 11 Li, Hailiang 11 Romano, Vittorio 10 Arnold, Anton 10 Klar, Axel 10 Li, Yeping 10 Liu, Hailiang 10 Painter, Kevin J. 9 Duan, Renjun 9 Hillen, Thomas 9 Sacco, Riccardo 9 Tan, Zhong 9 Xu, Jiang 9 Zhang, Guojing 8 Bellouquid, Abdelghani 8 Bouin, Emeric 8 Chainais-Hillairet, Claire 8 Chen, Li 8 Gosse, Laurent 8 Ju, Qiangchang 8 Marcati, Pierangelo 8 Méhats, Florian 8 Yu, Huimin 7 Banasiak, Jacek 7 Ben Abdallah, Naoufel 7 Goudon, Thierry 7 Liu, Jianguo 7 Majorana, Armando 7 Mouhot, Clément 7 Pareschi, Lorenzo 7 Pinnau, René 7 Surulescu, Christina 7 Tayeb, Mohamed Lazhar 7 Wang, Yong 6 Blokhin, Aleksandr Mikhaĭlovich 6 Chen, Sitong 6 Delitala, Marcello 6 Hsiao, Ling 6 James, François 6 Lee, Yongki 6 Lemou, Mohammed 6 López, José Luis 6 Mascali, Giovanni 6 Masmoudi, Nader 6 Mischler, Stéphane 6 Monmarché, Pierre 6 Nieto, Juanjo 6 Shu, Chi-Wang 6 Stoltz, Gabriel 6 Tang, Min 6 Tang, Xianhua 6 Unterreiter, Andreas 6 Winkler, Michael 6 Yun, Seok-Bae 5 Achleitner, Franz 5 Alì, Giuseppe 5 Bianca, Carlo 5 Burger, Martin 5 Carlen, Eric Anders 5 Chalub, Fabio A. C. C. 5 Cuesta Romero, Carlota Maria 5 Borges de Oliveira, Hermenegildo 5 Duan, Ben 5 Frosali, Giovanni 5 Gasser, Ingenuin 5 Guillin, Arnaud 5 Haskovec, Jan 5 Huang, Feimin 5 Liu, Liu 5 Mellet, Antoine 5 Ölz, Dietmar 5 Pietschmann, Jan-Frederik 5 Rehberg, Joachim 5 Schürrer, Ferdinand 5 Sfakianakis, Nikolaos I. 5 Shukla, Padma Kant 5 Wang, Li 5 Wang, Zhian 4 Bae, Myoungjean 4 Barletti, Luigi 4 Bessemoulin-Chatard, Marianne 4 Brezzi, Franco 4 Bushmanov, R. S. ...and 1,191 more Authors
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#### Cited in 205 Serials

 78 Journal of Differential Equations 61 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 52 Journal of Computational Physics 49 Journal of Mathematical Analysis and Applications 32 Kinetic and Related Models 31 Journal of Statistical Physics 26 Mathematical and Computer Modelling 25 Archive for Rational Mechanics and Analysis 25 Journal of Mathematical Biology 25 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 25 Nonlinear Analysis. Real World Applications 22 Physics Letters. A 22 SIAM Journal on Mathematical Analysis 21 Transport Theory and Statistical Physics 20 Applied Mathematics Letters 18 Multiscale Modeling & Simulation 16 Journal of Mathematical Physics 15 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 15 Discrete and Continuous Dynamical Systems 14 Journal of Scientific Computing 13 Mathematical Methods in the Applied Sciences 12 Communications in Mathematical Physics 12 Mathematics of Computation 12 Numerische Mathematik 12 Journal of Theoretical Biology 11 Physica D 11 Discrete and Continuous Dynamical Systems. Series B 10 ZAMP. Zeitschrift für angewandte Mathematik und Physik 10 Communications in Partial Differential Equations 10 Communications on Pure and Applied Analysis 9 Applied Mathematics and Computation 9 Journal of Functional Analysis 9 Journal de Mathématiques Pures et Appliquées. Neuvième Série 9 SIAM Journal on Applied Mathematics 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Computers & Mathematics with Applications 8 Monatshefte für Mathematik 8 Annales Henri Poincaré 7 Bulletin of Mathematical Biology 7 Journal of Computational and Applied Mathematics 7 Networks and Heterogeneous Media 6 Astrophysics and Space Science 6 Quarterly of Applied Mathematics 6 Acta Applicandae Mathematicae 6 COMPEL 6 European Journal of Applied Mathematics 6 Journal of Nonlinear Science 6 SIAM Journal on Scientific Computing 6 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 5 Computer Methods in Applied Mechanics and Engineering 5 SIAM Journal on Numerical Analysis 5 Chinese Annals of Mathematics. Series B 5 RAIRO. Modélisation Mathématique et Analyse Numérique 5 NoDEA. Nonlinear Differential Equations and Applications 4 Applicable Analysis 4 Communications on Pure and Applied Mathematics 4 Nonlinearity 4 Physica A 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Applied Numerical Mathematics 4 Calculus of Variations and Partial Differential Equations 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 Journal of Evolution Equations 4 Journal of Hyperbolic Differential Equations 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Discrete and Continuous Dynamical Systems. Series S 3 Computer Physics Communications 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Ricerche di Matematica 3 Applied Mathematics and Mechanics. (English Edition) 3 Revista Matemática Iberoamericana 3 Numerical Algorithms 3 Stochastic Processes and their Applications 3 Topological Methods in Nonlinear Analysis 3 Bernoulli 3 Chaos 3 European Journal of Mechanics. B. Fluids 3 Analysis and Applications (Singapore) 3 Science China. Mathematics 3 Journal of Applied Analysis and Computation 3 Molecular Based Mathematical Biology 3 Nonlinear Analysis. Theory, Methods & Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 The Annals of Probability 2 Archiv der Mathematik 2 Calcolo 2 Integral Equations and Operator Theory 2 Journal of Optimization Theory and Applications 2 Studies in Applied Mathematics 2 Transactions of the American Mathematical Society 2 Probability Theory and Related Fields 2 Science in China. Series A 2 International Journal of Computer Mathematics 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 Continuum Mechanics and Thermodynamics 2 Computational and Applied Mathematics 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Differential Equations ...and 105 more Serials
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#### Cited in 41 Fields

 821 Partial differential equations (35-XX) 387 Statistical mechanics, structure of matter (82-XX) 267 Fluid mechanics (76-XX) 263 Biology and other natural sciences (92-XX) 218 Numerical analysis (65-XX) 84 Optics, electromagnetic theory (78-XX) 64 Probability theory and stochastic processes (60-XX) 60 Quantum theory (81-XX) 41 Integral equations (45-XX) 39 Ordinary differential equations (34-XX) 39 Operator theory (47-XX) 34 Dynamical systems and ergodic theory (37-XX) 19 Mechanics of deformable solids (74-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Astronomy and astrophysics (85-XX) 16 Classical thermodynamics, heat transfer (80-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Functional analysis (46-XX) 11 Operations research, mathematical programming (90-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Real functions (26-XX) 9 Mechanics of particles and systems (70-XX) 7 Systems theory; control (93-XX) 6 General and overarching topics; collections (00-XX) 6 Computer science (68-XX) 4 Difference and functional equations (39-XX) 4 Differential geometry (53-XX) 4 Statistics (62-XX) 4 Relativity and gravitational theory (83-XX) 3 Special functions (33-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Algebraic topology (55-XX)

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