Peter A. Markowich

Publication Activity (10 Years)

Years Active: 1999-2023
Publications (10 Years): 8

Top Topics

Electron Beam Lithography

Digital X Ray Images

Condition Numbers

Optimal Control

Top Venues

Multiscale Model. Simul.

J. Nonlinear Sci.

Publications

Debora Amadori, Boris P. Andreianov, Marco Di Francesco, Simone Fagioli, Théo Girard, Paola Goatin, Peter A. Markowich, Jan-Frederik Pietschmann, Massimiliano D. Rosini, Giovanni Russo, Graziano Stivaletta, Marie-Therese Wolfram
The mathematical theory of Hughes' model: a survey of results. CoRR (2023)
Clarissa Astuto, Jan Haskovec, Peter A. Markowich, Simone Portaro
Self-regulated biological transportation structures with general entropy dissipations, part I: the 1D case. CoRR (2023)
Clarissa Astuto, Daniele Boffi, Jan Haskovec, Peter A. Markowich, Giovanni Russo
Asymmetry and condition number of an elliptic-parabolic system for biological network formation. CoRR (2023)
Clarissa Astuto, Daniele Boffi, Jan Haskovec, Peter A. Markowich, Giovanni Russo
Comparison of two aspects of a PDE model for biological network formation. CoRR (2022)
A. Leitao, Peter A. Markowich, Jorge P. Zubelli
Inverse problems for semiconductors: models and methods. CoRR (2020)
A. Leitao, Peter A. Markowich, Jorge P. Zubelli
On inverse doping profile problems for the stationary voltage-current map. CoRR (2020)
Jan Haskovec, Sabine Hittmeir, Peter A. Markowich, Alexander Mielke
Decay to Equilibrium for Energy-Reaction-Diffusion Systems. SIAM J. Math. Anal. 50 (1) (2018)
Peter A. Markowich, Josef Teichmann, Marie-Therese Wolfram
Parabolic Free Boundary Price Formation Models Under Market Size Fluctuations. Multiscale Model. Simul. 14 (4) (2016)
Jesús Sierra, Aslan R. Kasimov, Peter A. Markowich, Rada-Maria Weishäupl
On the Gross-Pitaevskii Equation with Pumping and Decay: Stationary States and Their Stability. J. Nonlinear Sci. 25 (3) (2015)
Paolo Antonelli, Agissilaos Athanassoulis, Zhongyi Huang, Peter A. Markowich
Numerical Simulations of X-Ray Free Electron Lasers (XFEL). Multiscale Model. Simul. 12 (4) (2014)
Michael Hintermüller, Daniel Marahrens, Peter A. Markowich, Christof Sparber
Optimal Bilinear Control of Gross-Pitaevskii Equations. SIAM J. Control. Optim. 51 (3) (2013)
Martin Burger, Marco Di Francesco, Peter A. Markowich, Marie-Therese Wolfram
On a mean field game optimal control approach modeling fast exit scenarios in human crowds. CDC (2013)
Benoit Perthame, Peter A. Markowich, Jorge P. Zubelli
Mathematical methods and modelling of biophysical phenomena. Math. Comput. Model. 53 (7-8) (2011)
Shi Jin, Peter A. Markowich, Christof Sparber
Mathematical and computational methods for semiclassical Schrödinger equations. Acta Numer. 20 (2011)
Benoit Perthame, Peter A. Markowich, Jorge P. Zubelli
Mathematical methods and modeling of biophysical phenomena. Math. Comput. Model. 47 (7-8) (2008)
Zhongyi Huang, Shi Jin, Peter A. Markowich, Christof Sparber
Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials. Multiscale Model. Simul. 7 (2) (2008)
Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Markowich, Rada-Maria Weishäupl
Convergence rate of dimension reduction in Bose-Einstein condensates. Comput. Phys. Commun. 177 (11) (2007)
Christian Klein, Christof Sparber, Peter A. Markowich
Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation. J. Nonlinear Sci. 17 (5) (2007)
Zhongyi Huang, Shi Jin, Peter A. Markowich, Christof Sparber
A Bloch Decomposition-Based Split-Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials. SIAM J. Sci. Comput. 29 (2) (2007)
Shu Wang, Zhouping Xin, Peter A. Markowich
Quasi-neutral Limit of the Drift Diffusion Models for Semiconductors: The Case of General Sign-Changing Doping Profile. SIAM J. Math. Anal. 37 (6) (2006)
Peter A. Markowich, Lorenzo Pareschi
Fast conservative and entropic numerical methods for the Boson Boltzmann equation. Numerische Mathematik 99 (3) (2005)
Weizhu Bao, Shi Jin, Peter A. Markowich
Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes. SIAM J. Sci. Comput. 25 (1) (2003)
Peter A. Markowich, Paola Pietra, Carsten Pohl, Hans Peter Stimming
A Wigner-Measure Analysis of the Dufort-Frankel Scheme for the Schrödinger Equation. SIAM J. Numer. Anal. 40 (4) (2002)
Florian Frommlet, Peter A. Markowich, Christian A. Ringhofer
A Wignerfunction Approach to Phonon Scattering. VLSI Design 1999 (4) (1999)
Peter A. Markowich, Paola Pietra, Carsten Pohl
Semiclassical Analysis of Discretizations of Schrödinger-type Equations. VLSI Design 1999 (4) (1999)
Ingenuin Gasser, Peter A. Markowich, Benoit Perthame
Dispersion Lemmas Revisited. VLSI Design 1999 (4) (1999)
Peter A. Markowich, Paola Pietra, Carsten Pohl
Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit. Numerische Mathematik 81 (4) (1999)