Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit. - Peter A. Markowich; Paola Pietra; Carsten Pohl (Numerische Mathematik, 1999)

A Wignerfunction Approach to Phonon Scattering. - Florian Frommlet; Peter A. Markowich; Christian A. Ringhofer (VLSI Design, 1999)

Dispersion Lemmas Revisited. - Ingenuin Gasser; Peter A. Markowich; Benoit Perthame (VLSI Design, 1999)

Semiclassical Analysis of Discretizations of Schrödinger-type Equations. - Peter A. Markowich; Paola Pietra; Carsten Pohl (VLSI Design, 1999)

A Wigner-Measure Analysis of the Dufort-Frankel Scheme for the Schrödinger Equation. - Peter A. Markowich; Paola Pietra; Carsten Pohl; Hans Peter Stimming (SIAM J. Numer. Anal., 2002)

Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes. - Weizhu Bao; Shi Jin 003; Peter A. Markowich (SIAM J. Sci. Comput., 2003)

Fast conservative and entropic numerical methods for the Boson Boltzmann equation. - Peter A. Markowich; Lorenzo Pareschi (Numerische Mathematik, 2005)

Quasi-neutral Limit of the Drift Diffusion Models for Semiconductors: The Case of General Sign-Changing Doping Profile. - Shu Wang; Zhouping Xin; Peter A. Markowich (SIAM J. Math. Anal., 2006)

Applied partial differential equations - a visual approach. - Peter A. Markowich (Springer, 2007)

Convergence rate of dimension reduction in Bose-Einstein condensates. - Weizhu Bao; Yunyi Ge; Dieter Jaksch; Peter A. Markowich; Rada-Maria Weishäupl (Comput. Phys. Commun., 2007)

Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation. - Christian Klein 002; Christof Sparber; Peter A. Markowich (J. Nonlinear Sci., 2007)

A Bloch Decomposition-Based Split-Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials. - Zhongyi Huang; Shi Jin 003; Peter A. Markowich; Christof Sparber (SIAM J. Sci. Comput., 2007)

Mathematical methods and modeling of biophysical phenomena. - Benoit Perthame; Peter A. Markowich; Jorge P. Zubelli (Math. Comput. Model., 2008)

Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials. - Zhongyi Huang; Shi Jin 003; Peter A. Markowich; Christof Sparber (Multiscale Model. Simul., 2008)

Mathematical and computational methods for semiclassical Schrödinger equations. - Shi Jin 003; Peter A. Markowich; Christof Sparber (Acta Numer., 2011)

Mathematical methods and modelling of biophysical phenomena. - Benoit Perthame; Peter A. Markowich; Jorge P. Zubelli (Math. Comput. Model., 2011)

On a mean field game optimal control approach modeling fast exit scenarios in human crowds. - Martin Burger 001; Marco Di Francesco; Peter A. Markowich; Marie-Therese Wolfram (CDC, 2013)

Optimal Bilinear Control of Gross-Pitaevskii Equations. - Michael Hintermüller; Daniel Marahrens; Peter A. Markowich; Christof Sparber (SIAM J. Control. Optim., 2013)

Numerical Simulations of X-Ray Free Electron Lasers (XFEL). - Paolo Antonelli; Agissilaos Athanassoulis; Zhongyi Huang; Peter A. Markowich (Multiscale Model. Simul., 2014)

On the Gross-Pitaevskii Equation with Pumping and Decay: Stationary States and Their Stability. - Jesús Sierra; Aslan R. Kasimov; Peter A. Markowich; Rada-Maria Weishäupl (J. Nonlinear Sci., 2015)

Parabolic Free Boundary Price Formation Models Under Market Size Fluctuations. - Peter A. Markowich; Josef Teichmann; Marie-Therese Wolfram (Multiscale Model. Simul., 2016)

Decay to Equilibrium for Energy-Reaction-Diffusion Systems. - Jan Haskovec; Sabine Hittmeir; Peter A. Markowich; Alexander Mielke (SIAM J. Math. Anal., 2018)

On inverse problems for semiconductor equations. - Martin Burger 001; Heinz W. Engl; Antonio Leitão; Peter A. Markowich (CoRR, 2020)

On inverse doping profile problems for the stationary voltage-current map. - A. Leitao; Peter A. Markowich; Jorge P. Zubelli (CoRR, 2020)

Inverse problems for semiconductors: models and methods. - A. Leitao; Peter A. Markowich; Jorge P. Zubelli (CoRR, 2020)

Comparison of two aspects of a PDE model for biological network formation. - Clarissa Astuto; Daniele Boffi; Jan Haskovec; Peter A. Markowich; Giovanni Russo 001 (CoRR, 2022)

Asymmetry and condition number of an elliptic-parabolic system for biological network formation. - Clarissa Astuto; Daniele Boffi; Jan Haskovec; Peter A. Markowich; Giovanni Russo 001 (CoRR, 2023)

The mathematical theory of Hughes' model: a survey of results. - 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 (CoRR, 2023)

Self-regulated biological transportation structures with general entropy dissipations, part I: the 1D case. - Clarissa Astuto; Jan Haskovec; Peter A. Markowich; Simone Portaro (CoRR, 2023)

Self-regulated biological transportation structures with general entropy dissipation: 2D case and leaf-shaped domain. - Clarissa Astuto; Peter A. Markowich; Simone Portaro; Giovanni Russo 001 (CoRR, 2024)

Robust and scalable nonlinear solvers for finite element discretizations of biological transportation networks. - Jan Haskovec; Peter A. Markowich; Simone Portaro; Stefano Zampini (CoRR, 2025)