Peter A. Markowich

According to our database1, Peter A. Markowich authored at least 29 papers between 1999 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Self-regulated biological transportation structures with general entropy dissipations, part I: the 1D case.
CoRR, 2023

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

Asymmetry and condition number of an elliptic-parabolic system for biological network formation.
CoRR, 2023

2022
Comparison of two aspects of a PDE model for biological network formation.
CoRR, 2022

2020
Inverse problems for semiconductors: models and methods.
CoRR, 2020

On inverse doping profile problems for the stationary voltage-current map.
CoRR, 2020

On inverse problems for semiconductor equations.
CoRR, 2020

2018
Decay to Equilibrium for Energy-Reaction-Diffusion Systems.
SIAM J. Math. Anal., 2018

2016
Parabolic Free Boundary Price Formation Models Under Market Size Fluctuations.
Multiscale Model. Simul., 2016

2015
On the Gross-Pitaevskii Equation with Pumping and Decay: Stationary States and Their Stability.
J. Nonlinear Sci., 2015

2014
Numerical Simulations of X-Ray Free Electron Lasers (XFEL).
Multiscale Model. Simul., 2014

2013
Optimal Bilinear Control of Gross-Pitaevskii Equations.
SIAM J. Control. Optim., 2013

On a mean field game optimal control approach modeling fast exit scenarios in human crowds.
Proceedings of the 52nd IEEE Conference on Decision and Control, 2013

2011
Mathematical methods and modelling of biophysical phenomena.
Math. Comput. Model., 2011

Mathematical and computational methods for semiclassical Schrödinger equations.
Acta Numer., 2011

2008
Numerical Simulation of the Nonlinear Schrödinger Equation with Multidimensional Periodic Potentials.
Multiscale Model. Simul., 2008

Mathematical methods and modeling of biophysical phenomena.
Math. Comput. Model., 2008

2007
A Bloch Decomposition-Based Split-Step Pseudospectral Method for Quantum Dynamics with Periodic Potentials.
SIAM J. Sci. Comput., 2007

Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation.
J. Nonlinear Sci., 2007

Convergence rate of dimension reduction in Bose-Einstein condensates.
Comput. Phys. Commun., 2007

Applied partial differential equations - a visual approach.
Springer, 2007

2006
Quasi-neutral Limit of the Drift Diffusion Models for Semiconductors: The Case of General Sign-Changing Doping Profile.
SIAM J. Math. Anal., 2006

2005
Fast conservative and entropic numerical methods for the Boson Boltzmann equation.
Numerische Mathematik, 2005

2003
Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes.
SIAM J. Sci. Comput., 2003

2002
A Wigner-Measure Analysis of the Dufort-Frankel Scheme for the Schrödinger Equation.
SIAM J. Numer. Anal., 2002

1999
Semiclassical Analysis of Discretizations of Schrödinger-type Equations.
VLSI Design, 1999

Dispersion Lemmas Revisited.
VLSI Design, 1999

A Wignerfunction Approach to Phonon Scattering.
VLSI Design, 1999

Numerical approximation of quadratic observables of Schrödinger-type equations in the semi-classical limit.
Numerische Mathematik, 1999


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