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2020 – today
- 2023
[i7]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 abs/2301.12926 (2023)- [i6]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 abs/2305.10076 (2023) - [i5]Clarissa Astuto, Jan Haskovec, Peter A. Markowich, Simone Portaro:
Self-regulated biological transportation structures with general entropy dissipations, part I: the 1D case. CoRR abs/2307.16436 (2023) - 2022
- [i4]Clarissa Astuto, Daniele Boffi, Jan Haskovec, Peter A. Markowich, Giovanni Russo:
Comparison of two aspects of a PDE model for biological network formation. CoRR abs/2209.08292 (2022) - 2020
- [i3]Martin Burger, Heinz W. Engl, Antonio Leitão, Peter A. Markowich:
On inverse problems for semiconductor equations. CoRR abs/2011.11370 (2020) - [i2]A. Leitao, Peter A. Markowich, Jorge P. Zubelli:
On inverse doping profile problems for the stationary voltage-current map. CoRR abs/2011.12200 (2020) - [i1]A. Leitao, Peter A. Markowich, Jorge P. Zubelli:
Inverse problems for semiconductors: models and methods. CoRR abs/2011.12800 (2020)
2010 – 2019
- 2018
- [j20]Jan Haskovec
, Sabine Hittmeir, Peter A. Markowich, Alexander Mielke:
Decay to Equilibrium for Energy-Reaction-Diffusion Systems. SIAM J. Math. Anal. 50(1): 1037-1075 (2018) - 2016
- [j19]Peter A. Markowich, Josef Teichmann, Marie-Therese Wolfram:
Parabolic Free Boundary Price Formation Models Under Market Size Fluctuations. Multiscale Model. Simul. 14(4): 1211-1237 (2016) - 2015
- [j18]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): 709-739 (2015) - 2014
- [j17]Paolo Antonelli, Agissilaos Athanassoulis, Zhongyi Huang, Peter A. Markowich:
Numerical Simulations of X-Ray Free Electron Lasers (XFEL). Multiscale Model. Simul. 12(4): 1607-1621 (2014) - 2013
- [j16]Michael Hintermüller, Daniel Marahrens, Peter A. Markowich, Christof Sparber:
Optimal Bilinear Control of Gross-Pitaevskii Equations. SIAM J. Control. Optim. 51(3): 2509-2543 (2013) - [c1]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: 3128-3133 - 2011
- [j15]Shi Jin, Peter A. Markowich, Christof Sparber:
Mathematical and computational methods for semiclassical Schrödinger equations. Acta Numer. 20: 121-209 (2011) - [j14]Benoit Perthame, Peter A. Markowich, Jorge P. Zubelli:
Mathematical methods and modelling of biophysical phenomena. Math. Comput. Model. 53(7-8): 1359-1362 (2011)
2000 – 2009
- 2008
- [j13]Benoit Perthame, Peter A. Markowich, Jorge P. Zubelli:
Mathematical methods and modeling of biophysical phenomena. Math. Comput. Model. 47(7-8): 663-665 (2008) - [j12]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): 539-564 (2008) - 2007
- [b1]Peter A. Markowich:
Applied partial differential equations - a visual approach. Springer 2007, pp. I-IX, 1-206 - [j11]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): 832-850 (2007) - [j10]Christian Klein, Christof Sparber, Peter A. Markowich:
Numerical Study of Oscillatory Regimes in the Kadomtsev-Petviashvili Equation. J. Nonlinear Sci. 17(5): 429-470 (2007) - [j9]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): 515-538 (2007) - 2006
- [j8]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): 1854-1889 (2006) - 2005
- [j7]Peter A. Markowich, Lorenzo Pareschi:
Fast conservative and entropic numerical methods for the Boson Boltzmann equation. Numerische Mathematik 99(3): 509-532 (2005) - 2003
- [j6]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): 27-64 (2003) - 2002
- [j5]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): 1281-1310 (2002)
1990 – 1999
- 1999
- [j4]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): 595-630 (1999) - [j3]Florian Frommlet, Peter A. Markowich, Christian A. Ringhofer:
A Wignerfunction Approach to Phonon Scattering. VLSI Design 9(4): 339-350 (1999) - [j2]Ingenuin Gasser, Peter A. Markowich, Benoit Perthame:
Dispersion Lemmas Revisited. VLSI Design 9(4): 365-375 (1999) - [j1]Peter A. Markowich, Paola Pietra, Carsten Pohl:
Semiclassical Analysis of Discretizations of Schrödinger-type Equations. VLSI Design 9(4): 397-413 (1999)
Coauthor Index
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