Peter A. Markowich

32 papers Journal 30Unranked 1
YearRankTypeTitle / Venue / Authors
2025 J jnl
Gradient Flows for the p-Laplacian Arising from Biological Network Models: A Novel Dynamical Relaxation Approach.
CoRR
Jan Haskovec, Peter A. Markowich, Stefano Zampini
2025 J jnl
Robust and scalable nonlinear solvers for finite element discretizations of biological transportation networks.
CoRR
Jan Haskovec, Peter A. Markowich, Simone Portaro, Stefano Zampini
2024 J jnl
Self-regulated biological transportation structures with general entropy dissipation: 2D case and leaf-shaped domain.
CoRR
Clarissa Astuto, Peter A. Markowich, Simone Portaro, Giovanni Russo
2023 J jnl
Asymmetry and condition number of an elliptic-parabolic system for biological network formation.
CoRR
Clarissa Astuto, Daniele Boffi, Jan Haskovec, Peter A. Markowich, Giovanni Russo
2023 J jnl
Self-regulated biological transportation structures with general entropy dissipations, part I: the 1D case.
CoRR
Clarissa Astuto, Jan Haskovec, Peter A. Markowich, Simone Portaro
2023 J jnl
The mathematical theory of Hughes' model: a survey of results.
CoRR
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
2022 J jnl
Comparison of two aspects of a PDE model for biological network formation.
CoRR
Clarissa Astuto, Daniele Boffi, Jan Haskovec, Peter A. Markowich, Giovanni Russo
2020 J jnl
Inverse problems for semiconductors: models and methods.
CoRR
A. Leitao, Peter A. Markowich, Jorge P. Zubelli
2020 J jnl
On inverse doping profile problems for the stationary voltage-current map.
CoRR
A. Leitao, Peter A. Markowich, Jorge P. Zubelli
2020 J jnl
On inverse problems for semiconductor equations.
CoRR
Martin Burger, Heinz W. Engl, Antonio Leitão, Peter A. Markowich
2018 J jnl
Decay to Equilibrium for Energy-Reaction-Diffusion Systems.
SIAM J. Math. Anal.
Jan Haskovec, Sabine Hittmeir, Peter A. Markowich, Alexander Mielke
2016 J jnl
Parabolic Free Boundary Price Formation Models Under Market Size Fluctuations.
Multiscale Model. Simul.
Peter A. Markowich, Josef Teichmann, Marie-Therese Wolfram
2015 J jnl
On the Gross-Pitaevskii Equation with Pumping and Decay: Stationary States and Their Stability.
J. Nonlinear Sci.
Jesús Sierra, Aslan R. Kasimov, Peter A. Markowich, Rada-Maria Weishäupl
2014 J jnl
Numerical Simulations of X-Ray Free Electron Lasers (XFEL).
Multiscale Model. Simul.
Paolo Antonelli, Agissilaos Athanassoulis, Zhongyi Huang, Peter A. Markowich
2013 — conf
On a mean field game optimal control approach modeling fast exit scenarios in human crowds.
CDC
Martin Burger, Marco Di Francesco, Peter A. Markowich, Marie-Therese Wolfram
2013 J jnl
Optimal Bilinear Control of Gross-Pitaevskii Equations.
SIAM J. Control. Optim.
Michael Hintermüller, Daniel Marahrens, Peter A. Markowich, Christof Sparber
2011 J jnl
Mathematical and computational methods for semiclassical Schrödinger equations.
Acta Numer.
Shi Jin, Peter A. Markowich, Christof Sparber
2011 J jnl
Mathematical methods and modelling of biophysical phenomena.
Math. Comput. Model.
Benoit Perthame, Peter A. Markowich, Jorge P. Zubelli
2008 J jnl
Mathematical methods and modeling of biophysical phenomena.
Math. Comput. Model.
Benoit Perthame, Peter A. Markowich, Jorge P. Zubelli
2008 J jnl
Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials.
Multiscale Model. Simul.
Zhongyi Huang, Shi Jin, Peter A. Markowich, Christof Sparber
2007 J jnl
A Bloch Decomposition-Based Split-Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials.
SIAM J. Sci. Comput.
Zhongyi Huang, Shi Jin, Peter A. Markowich, Christof Sparber
2007 — book
Applied partial differential equations - a visual approach.
Peter A. Markowich
2007 J jnl
Convergence rate of dimension reduction in Bose-Einstein condensates.
Comput. Phys. Commun.
Weizhu Bao, Yunyi Ge, Dieter Jaksch, Peter A. Markowich, Rada-Maria Weishäupl
2007 J jnl
Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation.
J. Nonlinear Sci.
Christian Klein, Christof Sparber, Peter A. Markowich
2006 J jnl
Quasi-neutral Limit of the Drift Diffusion Models for Semiconductors: The Case of General Sign-Changing Doping Profile.
SIAM J. Math. Anal.
Shu Wang, Zhouping Xin, Peter A. Markowich
2005 J jnl
Fast conservative and entropic numerical methods for the Boson Boltzmann equation.
Numerische Mathematik
Peter A. Markowich, Lorenzo Pareschi
2003 J jnl
Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes.
SIAM J. Sci. Comput.
Weizhu Bao, Shi Jin, Peter A. Markowich
2002 J jnl
A Wigner-Measure Analysis of the Dufort-Frankel Scheme for the Schrödinger Equation.
SIAM J. Numer. Anal.
Peter A. Markowich, Paola Pietra, Carsten Pohl, Hans Peter Stimming
1999 J jnl
A Wignerfunction Approach to Phonon Scattering.
VLSI Design
Florian Frommlet, Peter A. Markowich, Christian A. Ringhofer
1999 J jnl
Dispersion Lemmas Revisited.
VLSI Design
Ingenuin Gasser, Peter A. Markowich, Benoit Perthame
1999 J jnl
Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit.
Numerische Mathematik
Peter A. Markowich, Paola Pietra, Carsten Pohl
1999 J jnl
Semiclassical Analysis of Discretizations of Schrödinger-type Equations.
VLSI Design
Peter A. Markowich, Paola Pietra, Carsten Pohl