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1

Numerical solution of the Gross–Pitaevskii equation for Bose–Einstein condensation

Weizhu Bao, Dieter Jaksch, Peter A. Markowich

Journal:

Journal of Computational Physics

Year:

2003

Language:

english

File:

PDF, 543 KB

english, 2003

2

ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS

Arnold, Anton, Markowich, Peter, Toscani, Giuseppe, Unterreiter, Andreas

Journal:

Communications in Partial Differential Equations

Year:

2001

Language:

english

File:

PDF, 427 KB

english, 2001

3

Global Solutions to the Coupled Chemotaxis-Fluid Equations

Duan, Renjun, Lorz, Alexander, Markowich, Peter

Journal:

Communications in Partial Differential Equations

Year:

2010

Language:

english

File:

PDF, 292 KB

english, 2010

4

On the equivalence of the Schrödinger and the quantum Liouville equations

Peter A. Markowich, H. Neunzert

Journal:

Mathematical Methods in the Applied Sciences

Year:

1989

Language:

english

File:

PDF, 483 KB

english, 1989

5

Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes

Bao, Weizhu, Jin, Shi, Markowich, Peter A.

Journal:

SIAM Journal on Scientific Computing

Year:

2003

Language:

english

File:

PDF, 5.62 MB

english, 2003

6

On Time-Splitting Spectral Approximations for the Schrödinger Equation in the Semiclassical Regime

Weizhu Bao, Shi Jin, Peter A. Markowich

Journal:

Journal of Computational Physics

Year:

2002

Language:

english

File:

PDF, 942 KB

english, 2002

7

A system of convection—diffusion equations with small diffusion coefficient arising in semiconductor physics

Peter A Markowich, Peter Szmolyan

Journal:

Journal of Differential Equations

Year:

1989

Language:

english

File:

PDF, 868 KB

english, 1989

8

Numerical analysis of acoustic wave generation in anisotropic piezoelectric materials

Erasmus Langer, Siegfried Selberherr, Peter A. Markowich, Christian A. Ringhofer

Journal:

Sensors and Actuators

Year:

1983

Language:

english

File:

PDF, 489 KB

english, 1983

9

On a price formation free boundary model by Lasry and Lions

Luis A. Caffarelli, Peter A. Markowich, Jan-F. Pietschmann

Journal:

Comptes Rendus Mathematique

Year:

2011

Language:

english

File:

PDF, 127 KB

english, 2011

10

On the Bloch decomposition based spectral method for wave propagation in periodic media

Zhongyi Huang, Shi Jin, Peter A. Markowich, Christof Sparber

Journal:

Year:

2009

Language:

english

File:

PDF, 1.02 MB

english, 2009

11

On steady state Euler-Poisson models for semiconductors

Peter A. Markowich

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

1991

Language:

english

File:

PDF, 743 KB

english, 1991

12

Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit

Peter A. Markowich, Paola Pietra, Carsten Pohl

Journal:

Numerische Mathematik

Year:

1999

Language:

english

File:

PDF, 926 KB

english, 1999

13

Kinetic Models for Chemotaxis and their Drift-Diffusion Limits

Fabio A. C. C. Chalub, Peter A. Markowich, Benoît Perthame, Christian Schmeiser

Journal:

Monatshefte für Mathematik

Year:

2004

Language:

english

File:

PDF, 152 KB

english, 2004

14

Fokker–Planck Equations as Scaling Limits of Reversible Quantum Systems

Francois Castella, László Erdős, Florian Frommlet, Peter A. Markowich

Journal:

Journal of Statistical Physics

Year:

2000

Language:

english

File:

PDF, 314 KB

english, 2000

15

Corrigenda: Lax–Wendroff Methods for Hyperbolic History Value Problems

Markowich, Peter, Renardy, Michael

Journal:

SIAM Journal on Numerical Analysis

Year:

1985

File:

PDF, 28 KB

1985

16

Asymptotic Analysis of Von Karman Flows

Markowich, Peter A.

Journal:

SIAM Journal on Applied Mathematics

Year:

1982

Language:

english

File:

PDF, 745 KB

english, 1982

17

A Singularly Perturbed Boundary Value Problem Modelling a Semiconductor Device

Markowich, Peter A., Ringhofer, C. A.

Journal:

SIAM Journal on Applied Mathematics

Year:

1984

Language:

english

File:

PDF, 1.66 MB

english, 1984

18

A Singular Perturbation Analysis of the Fundamental Semiconductor Device Equations

Markowich, Peter A.

Journal:

SIAM Journal on Applied Mathematics

Year:

1984

Language:

english

File:

PDF, 3.16 MB

english, 1984

19

[Computational Microelectronics] The Stationary Semiconductor Device Equations || Introduction

Markowich, Peter A.

Year:

1986

Language:

english

File:

PDF, 791 KB

english, 1986

20

Bernoulli Variational Problem and Beyond

Lorz, Alexander, Markowich, Peter, Perthame, BenoÃ®t

Journal:

Archive for Rational Mechanics and Analysis

Year:

2014

Language:

english

File:

PDF, 484 KB

english, 2014

21

A Singular Perturbation Analysis of the Fundamental Semiconductor Device Equations

Peter A. Markowich

Journal:

SIAM Journal on Applied Mathematics

Year:

1984

Language:

english

File:

PDF, 2.44 MB

english, 1984

22

A Singularly Perturbed Boundary Value Problem Modelling a Semiconductor Device

Peter A. Markowich and C. A. Ringhofer

Journal:

SIAM Journal on Applied Mathematics

Year:

1984

Language:

english

File:

PDF, 1.34 MB

english, 1984

23

Asymptotic Analysis of Von Karman Flows

Peter A. Markowich

Journal:

SIAM Journal on Applied Mathematics

Year:

1982

Language:

english

File:

PDF, 707 KB

english, 1982

24

Boltzmann and Fokker—Planck equations modelling opinion formation in the presence of strong leaders

Bertram Düring, Peter Markowich, Jan-Frederik Pietschmann and Marie-Therese Wolfram

Journal:

Proceedings Mathematical Physical & Engineering Sciences

Year:

2009

Language:

english

File:

PDF, 2.35 MB

english, 2009

25

On the XFEL Schrödinger Equation: Highly Oscillatory Magnetic Potentials and Time Averaging

Antonelli, Paolo, Athanassoulis, Agisillaos, Hajaiej, Hichem, Markowich, Peter

Journal:

Archive for Rational Mechanics and Analysis

Year:

2014

Language:

english

File:

PDF, 249 KB

english, 2014

26

The Numerical Solution of a Class of Quasilinear Parabolic Volterra Equations Arising in Polymer Rheology

Markowich, Peter, Renardy, Michael

Journal:

SIAM Journal on Numerical Analysis

Year:

1983

Language:

english

File:

PDF, 1.58 MB

english, 1983

27

Lax-Wendroff Methods for Hyperbolic History Value Problems

Peter Markowich and Michael Renardy

Journal:

SIAM Journal on Numerical Analysis

Year:

1984

Language:

english

File:

PDF, 614 KB

english, 1984

28

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR FOR A SEMICONDUCTOR DRIFT-DIFFUSION-POISSON MODEL

WU, HAO, MARKOWICH, PETER A., ZHENG, SONGMU

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2008

Language:

english

File:

PDF, 437 KB

english, 2008

29

RELAXATION TIME APPROXIMATION FOR ELECTRON-PHONON INTERACTION IN SEMICONDUCTORS

MARKOWICH, PETER A., SCHMEISER, CHRISTIAN

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

1995

Language:

english

File:

PDF, 333 KB

english, 1995

30

Hamiltonian Evolution of Monokinetic Measures with Rough Momentum Profile

Bardos, Claude, Golse, François, Markowich, Peter, Paul, Thierry

Journal:

Archive for Rational Mechanics and Analysis

Year:

2015

Language:

english

File:

PDF, 418 KB

english, 2015

31

THE CLASSICAL LIMIT OF A SELF-CONSISTENT QUANTUM-VLASOV EQUATION IN 3D

MARKOWICH, PETER A., MAUSER, NORBERT J.

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

1993

Language:

english

File:

PDF, 475 KB

english, 1993

32

Mathematical Analysis of a PDE System for Biological Network Formation

Haskovec, Jan, Markowich, Peter, Perthame, Benoit

Journal:

Communications in Partial Differential Equations

Year:

2015

Language:

english

File:

PDF, 336 KB

english, 2015

33

The Numerical Solution of a Class of Quasilinear Parabolic Volterra Equations Arising in Polymer Rheology

Peter Markowich and Michael Renardy

Journal:

SIAM Journal on Numerical Analysis

Year:

1983

Language:

english

File:

PDF, 653 KB

english, 1983

34

Biological transportation networks: Modeling and simulation

Albi, Giacomo, Artina, Marco, Foransier, Massimo, Markowich, Peter A.

Journal:

Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 4.59 MB

english, 2016

35

Continuous data assimilation for the three-dimensional Brinkman–Forchheimer-extended Darcy model

Markowich, Peter A, Titi, Edriss S, Trabelsi, Saber

Journal:

Year:

2016

Language:

english

File:

PDF, 1.31 MB

english, 2016

36

Pattern formation of a nonlocal, anisotropic interaction model

Burger, Martin, Düring, Bertram, Kreusser, Lisa Maria, Markowich, Peter A., Schönlieb, Carola-Bibiane

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2017

Language:

english

File:

PDF, 3.86 MB

english, 2017

37

Collocation methods for boundary value problems on ‘‘long”\ intervals

Markowich, Peter A., Ringhofer, Christian A.

Journal:

Mathematics of Computation

Year:

1983

Language:

english

File:

PDF, 1.93 MB

english, 1983

38

On a dissipative Gross–Pitaevskii-type model for exciton-polariton condensates

Antonelli, Paolo, Markowich, Peter, Obermeyer, Ryan, Sierra, Jesus, Sparber, Christof

Journal:

Year:

2019

Language:

english

File:

PDF, 2.05 MB

english, 2019

39

Homogenization limits and Wigner transforms

Patrick Gérard, Peter A. Markowich, Norbert J. Mauser, Frédéric Poupaud

Journal:

Communications on Pure and Applied Mathematics

Year:

1997

Language:

english

File:

PDF, 369 KB

english, 1997

40

Erratum: Homogenization limits and Wigner transforms

Patrick Gérard, Peter A. Markowich, Norbert J. Mauser, Frédéric Poupaud

Journal:

Communications on Pure and Applied Mathematics

Year:

2000

Language:

english

File:

PDF, 142 KB

english, 2000

41

The three-dimensional wigner-poisson problem: Existence, uniqueness and approximation

Franco Brezzi, Peter A. Markowich

Journal:

Mathematical Methods in the Applied Sciences

Year:

1991

Language:

english

File:

PDF, 930 KB

english, 1991

42

A non-isentropic Euler–Poisson model for a collisionless plasma

Peter A. Markowich, Paola Pietra

Journal:

Mathematical Methods in the Applied Sciences

Year:

1993

Language:

english

File:

PDF, 1.18 MB

english, 1993

43

Quasi-neutral Limit of a Nonlinear Drift Diffusion Model for Semiconductors

Ingenuin Gasser, Ling Hsiao, Peter A. Markowich, Shu Wang

Journal:

Journal of Mathematical Analysis and Applications

Year:

2002

Language:

english

File:

PDF, 139 KB

english, 2002

44

The self-consistent Bloch-equation in one dimension

Norbert Mauser, Anton Arnold, Peter A. Markowich

Journal:

Computers & Mathematics with Applications

Year:

1991

Language:

english

File:

PDF, 294 KB

english, 1991

45

Convergence rate of dimension reduction in Bose–Einstein condensates

Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Markowich, Rada M. Weishäupl

Journal:

Computer Physics Communications

Year:

2007

Language:

english

File:

PDF, 561 KB

english, 2007

46

Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice: I. Homogeneous problems

Laurent Gosse, Peter A. Markowich

Journal:

Journal of Computational Physics

Year:

2004

Language:

english

File:

PDF, 520 KB

english, 2004

47

A time-splitting spectral scheme for the Maxwell–Dirac system

Zhongyi Huang, Shi Jin, Peter A. Markowich, Christof Sparber, Chunxiong Zheng

Journal:

Journal of Computational Physics

Year:

2005

Language:

english

File:

PDF, 1.28 MB

english, 2005

48

On the Hughes' model for pedestrian flow: The one-dimensional case

Marco Di Francesco, Peter A. Markowich, Jan-Frederik Pietschmann, Marie-Therese Wolfram

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 458 KB

english, 2011

49

Bohmian measures and their classical limit

Peter Markowich, Thierry Paul, Christof Sparber

Journal:

Journal of Functional Analysis

Year:

2010

Language:

english

File:

PDF, 289 KB

english, 2010

50

Mathematical methods and modeling of biophysical phenomena

Benoit Perthame, Peter Markowich, Jorge P. Zubelli

Journal:

Mathematical and Computer Modelling

Year:

2008

Language:

english

File:

PDF, 130 KB

english, 2008

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