| Publication | Date of Publication | Type |
|---|
| Symplectic learning for Hamiltonian neural networks | 2023-11-16 | Paper |
| Machine Learning Methods for Autonomous Ordinary Differential Equations | 2023-04-18 | Paper |
| Uniformly accurate schemes for drift-oscillatory stochastic differential equations | 2022-08-23 | Paper |
| Derivative-free high-order uniformly accurate schemes for highly oscillatory systems | 2022-05-10 | Paper |
| Averaging of highly-oscillatory transport equations | 2021-02-03 | Paper |
| Uniformly Accurate Methods for Three Dimensional Vlasov Equations under Strong Magnetic Field with Varying Direction | 2020-05-29 | Paper |
| A Micro-Macro Method for a Kinetic Graphene Model in One Space Dimension | 2020-05-27 | Paper |
| Nonlinear instability of inhomogeneous steady states solutions to the HMF model | 2020-02-26 | Paper |
| A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations | 2020-01-31 | Paper |
| Uniformly accurate time-splitting methods for the semiclassical linear Schrödinger equation | 2019-08-20 | Paper |
| Uniformly accurate methods for Vlasov equations with non-homogeneous strong magnetic field | 2019-08-01 | Paper |
| Highly Oscillatory Problems with Time-Dependent Vanishing Frequency | 2019-05-06 | Paper |
| Stable ground states for the HMF Poisson model | 2019-01-08 | Paper |
| Averaging of nonlinear Schrödinger equations with strong magnetic confinement | 2018-04-06 | Paper |
| Uniformly accurate particle-in-cell method for the long time solution of the two-dimensional Vlasov-Poisson equation with uniform strong magnetic field | 2018-01-25 | Paper |
| Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type | 2018-01-10 | Paper |
| A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations | 2017-12-18 | Paper |
| A kinetic model for the transport of electrons in a graphene layer | 2017-10-25 | Paper |
| Highly-oscillatory evolution equations with multiple frequencies: averaging and numerics | 2017-09-29 | Paper |
| The quantum Liouville-BGK equation and the moment problem | 2017-08-03 | Paper |
| Uniformly accurate numerical schemes for the nonlinear Dirac equation in the nonrelativistic limit regime | 2017-07-25 | Paper |
| Uniformly Accurate Forward Semi-Lagrangian Methods for Highly Oscillatory Vlasov--Poisson Equations | 2017-05-30 | Paper |
| Nonlinear stability criteria for the HMF model | 2017-05-02 | Paper |
| Strong confinement limit for the nonlinear Schrödinger equation constrained on a curve | 2017-02-24 | Paper |
| Dimension reduction for dipolar Bose-Einstein condensates in the strong interaction regime | 2017-01-11 | Paper |
| Solving highly-oscillatory NLS with SAM: numerical efficiency and long-time behavior | 2016-12-07 | Paper |
| Asymptotic preserving schemes for highly oscillatory Vlasov-Poisson equations | 2016-12-05 | Paper |
| Dimension reduction for rotating Bose-Einstein condensates with anisotropic confinement | 2016-10-14 | Paper |
| The Interaction Picture method for solving the generalized nonlinear Schrödinger equation in optics | 2016-09-15 | Paper |
| Improved error estimates for splitting methods applied to highly-oscillatory nonlinear Schrödinger equations | 2016-07-25 | Paper |
| Uniformly accurate time-splitting methods for the semiclassical Schr\"odinger equation Part 1 : Construction of the schemes and simulations | 2016-05-11 | Paper |
| Numerical study of a quantum-diffusive spin model for two-dimensional electron gases | 2015-10-23 | Paper |
| Stroboscopic averaging for the nonlinear Schrödinger equation | 2015-06-26 | Paper |
| Quantum drift-diffusion modeling of spin transport in nanostructures | 2015-05-06 | Paper |
| On the Controllability of Quantum Transport in an Electronic Nanostructure | 2015-04-17 | Paper |
| Dimension reduction for anisotropic Bose–Einstein condensates in the strong interaction regime | 2015-04-01 | Paper |
| Uniformly accurate numerical schemes for highly oscillatory Klein-Gordon and nonlinear Schrödinger equations | 2015-02-03 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2939726 | 2015-01-22 | Paper |
| Analysis of models for quantum transport of electrons in graphene layers | 2014-09-29 | Paper |
| An Asymptotic Preserving Scheme Based on a New Formulation for NLS in the Semiclassical Limit | 2014-04-22 | Paper |
| Solving highly-oscillatory NLS with SAM: numerical efficiency and geometric properties | 2013-08-06 | Paper |
| Micro-Macro Schemes for Kinetic Equations Including Boundary Layers | 2013-03-06 | Paper |
| Stable Ground States and Self-Similar Blow-Up Solutions for the Gravitational Vlasov--Manev System | 2013-02-22 | Paper |
| Second order averaging for the nonlinear Schrödinger equation with strongly anisotropic potential | 2012-06-25 | Paper |
| A problem of moment realizability in quantum statistical physics | 2012-06-25 | Paper |
| Orbital stability of spherical galactic models | 2012-02-14 | Paper |
| The Schrödinger–Poisson System on the Sphere | 2011-11-10 | Paper |
| A boundary matching micro/macro decomposition for kinetic equations | 2011-05-10 | Paper |
| An effective mass theorem for the bidimensional electron gas in a strong magnetic field | 2011-05-04 | Paper |
| A new variational approach to the stability of gravitational systems | 2011-03-02 | Paper |
| Evaporation law in kinetic gravitational systems described by simplified Landau models | 2010-12-16 | Paper |
| Stable self-similar blow up dynamics for the three dimensional relativistic gravitational Vlasov-Poisson system | 2010-11-19 | Paper |
| An inverse problem in quantum statistical physics | 2010-09-16 | Paper |
| Derivation of viscous correction terms for the isothermal quantum Euler model | 2010-03-15 | Paper |
| Stable Ground States for the Relativistic Gravitational Vlasov–Poisson System | 2009-11-10 | Paper |
| The Strongly Confined Schrödinger–Poisson System for the Transport of Electrons in a Nanowire | 2009-08-20 | Paper |
| A new variational approach to the stability of gravitational systems | 2009-08-05 | Paper |
| Quantum Diffusion Models Derived from the Entropy Principle | 2009-03-31 | Paper |
| Structure of the Linearized Gravitational Vlasov–Poisson System Close to a Polytropic Ground State | 2008-12-10 | Paper |
| The orbital stability of the ground states and the singularity formation for the gravitational Vlasov-Poisson system | 2008-12-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3530645 | 2008-10-20 | Paper |
| Time averaging for the strongly confined nonlinear Schrödinger equation, using almost-periodicity | 2008-06-26 | Paper |
| Isothermal Quantum Hydrodynamics: Derivation, Asymptotic Analysis, and Simulation | 2008-03-28 | Paper |
| On quantum hydrodynamic and quantum energy transport models | 2008-03-13 | Paper |
| Uniqueness of the critical mass blow up solution for the four-dimensional gravitational Vlasov-Poisson system | 2008-01-21 | Paper |
| An asymptotic preserving scheme for the Schrödinger equation in the semiclassical limit | 2007-12-12 | Paper |
| On quantum extensions to classical spherical harmonics expansion/Fokker-Planck models | 2007-05-16 | Paper |
| An entropic quantum drift-diffusion model for electron transport in resonant tunneling diodes | 2007-03-13 | Paper |
| Adiabatic quantum-fluid transport models | 2007-02-12 | Paper |
| DIFFUSIVE TRANSPORT OF PARTIALLY QUANTIZED PARTICLES: EXISTENCE, UNIQUENESS AND LONG-TIME BEHAVIOUR | 2007-02-07 | Paper |
| Global existence of classical solutions for a Vlasov-Schrodinger-Poisson system | 2007-01-04 | Paper |
| Analysis of a quantum subband model for the transport of partially confined charged particles | 2006-06-26 | Paper |
| Entropic Discretization of a Quantum Drift-Diffusion Model | 2006-06-02 | Paper |
| The Nonlinear Schrödinger Equation with a Strongly Anisotropic Harmonic Potential | 2006-05-31 | Paper |
| Orbital stability and singularity formation for Vlasov-Poisson systems | 2005-09-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5465392 | 2005-08-22 | Paper |
| Semiclassical analysis of the Schrödinger equation with a partially confining potential | 2005-08-17 | Paper |
| ON AN OPEN TRANSIENT SCHRÖDINGER–POISSON SYSTEM | 2005-08-01 | Paper |
| Quantum energy-transport and drift-diffusion models | 2005-05-25 | Paper |
| Adiabatic Approximation of the Schrödinger--Poisson System with a Partial Confinement | 2005-02-28 | Paper |
| A note on the long time behavior for the drift-diffusion-Poisson system | 2005-02-22 | Paper |
| On a Vlasov–Schrödinger–Poisson Model | 2005-01-20 | Paper |
| Numerical approximation of a quantum drift-diffusion model | 2005-01-13 | Paper |
| Convergence of a numerical scheme for a nonlinear oblique derivative boundary value problem | 2003-08-25 | Paper |
| Analysis of a drift-diffusion-Schrödinger-Poisson model | 2003-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2730767 | 2002-06-12 | Paper |
| A nonlinear oblique derivative boundary value problem for the heat equation. II: Singular self-similar solutions | 2000-09-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3836315 | 2000-02-13 | Paper |
| A nonlinear oblique derivative boundary value problem for the heat equation. I: Basic results | 1999-10-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4213524 | 1998-10-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4868121 | 1996-09-11 | Paper |
