| Publication | Date of Publication | Type |
|---|
| A Reduced Order Schwarz Method for Nonlinear Multiscale Elliptic Equations Based on Two-Layer Neural Networks | 2024-02-20 | Paper |
| Suppressing instability in a Vlasov-Poisson system by an external electric field through constrained optimization | 2024-01-31 | Paper |
| Monte Carlo Gradient in Optimization Constrained by Radiative Transport Equation | 2023-11-24 | Paper |
| High-Frequency Limit of the Inverse Scattering Problem: Asymptotic Convergence from Inverse Helmholtz to Inverse Liouville | 2023-07-21 | Paper |
| Stochastic Galerkin methods for time-dependent radiative transfer equations with uncertain coefficients | 2023-06-20 | Paper |
| On optimal bases for multiscale PDEs and Bayesian homogenization | 2023-05-20 | Paper |
| Solving the Wide-band Inverse Scattering Problem via Equivariant Neural Networks | 2022-12-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5053193 | 2022-12-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5054655 | 2022-11-29 | Paper |
| Manifold Learning and Nonlinear Homogenization | 2022-11-17 | Paper |
| Unique Reconstruction of the Heat-Reflection Indices at Solid Interfaces | 2022-11-03 | Paper |
| Low-Rank Approximation for Multiscale PDEs | 2022-08-31 | Paper |
| Constrained ensemble Langevin Monte Carlo | 2022-06-24 | Paper |
| Bridging and Improving Theoretical and Computational Electrical Impedance Tomography via Data Completion | 2022-06-08 | Paper |
| Second-order diffusion limit for the phonon transport equation: asymptotics and numerics | 2022-05-25 | Paper |
| Classical limit for the varying-mass Schrödinger equation with random inhomogeneities | 2022-04-11 | Paper |
| Reconstructing the Thermal Phonon Transmission Coefficient at Solid Interfaces in the Phonon Transport Equation | 2022-01-31 | Paper |
| Ensemble Kalman inversion for nonlinear problems: weights, consistency, and variance bounds | 2022-01-26 | Paper |
| Implicit Asymptotic Preserving Method for Linear Transport Equations | 2021-10-26 | Paper |
| Dynamical Low-Rank Integrator for the Linear Boltzmann Equation: Error Analysis in the Diffusion Limit | 2021-08-20 | Paper |
| Semiclassical limit of an inverse problem for the Schrödinger equation | 2021-06-29 | Paper |
| A Low-Rank Schwarz Method for Radiative Transfer Equation With Heterogeneous Scattering Coefficient | 2021-06-08 | Paper |
| Ensemble Kalman inversion: mean-field limit and convergence analysis | 2021-06-03 | Paper |
| Overparameterization of deep ResNet: zero loss and mean-field analysis | 2021-05-29 | Paper |
| Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion | 2021-05-02 | Paper |
| Ensemble Kalman Sampler: Mean-field Limit and Convergence Analysis | 2021-04-09 | Paper |
| Schwarz iteration method for elliptic equation with rough media based on random sampling | 2021-03-18 | Paper |
| Reconstruction of the Emission Coefficient in the Nonlinear Radiative Transfer Equation | 2021-02-16 | Paper |
| Sensitivity Analysis of Burgers' Equation with Shocks | 2021-02-08 | Paper |
| A numerical method for coupling the BGK model and Euler equations through the linearized Knudsen layer | 2021-01-27 | Paper |
| Structured Random Sketching for PDE Inverse Problems | 2021-01-26 | Paper |
| Random Sampling and Efficient Algorithms for Multiscale PDEs | 2020-11-09 | Paper |
| Parameter Reconstruction for General Transport Equation | 2020-09-09 | Paper |
| On diffusive scaling in acousto-optic imaging | 2020-08-25 | Paper |
| Randomized Sampling for Basis Function Construction in Generalized Finite Element Methods | 2020-08-20 | Paper |
| Generalized Multiscale Finite Element Method for the Steady State Linear Boltzmann Equation | 2020-05-27 | Paper |
| Diffusive Optical Tomography in the Bayesian Framework | 2020-05-27 | Paper |
| Local well-posedness of Vlasov-Poisson-Boltzmann equation with generalized diffuse boundary condition | 2020-04-28 | Paper |
| Applications of kinetic tools to inverse transport problems | 2020-03-16 | Paper |
| Classical limit for the varying-mass Schr\"odinger equation with random inhomogeneities | 2020-02-12 | Paper |
| Inverse Problems for the Stationary Transport Equation in the Diffusion Scaling | 2019-12-09 | Paper |
| Dynamical low-rank integrator for the linear Boltzmann equation: error analysis in the diffusion limit | 2019-07-09 | Paper |
| On quantifying uncertainties for the linearized BGK kinetic equation | 2019-02-18 | Paper |
| A New Numerical Approach to Inverse Transport Equation with Error Analysis | 2018-12-05 | Paper |
| Stability of Inverse Transport Equation in Diffusion Scaling and Fokker--Planck Limit | 2018-10-10 | Paper |
| Galerkin methods for stationary radiative transfer equations with uncertain coefficients | 2018-09-04 | Paper |
| Online learning in optical tomography: a stochastic approach | 2018-07-06 | Paper |
| Uniform Regularity for Linear Kinetic Equations with Random Input Based on Hypocoercivity | 2018-04-19 | Paper |
| Stability of stationary inverse transport equation in diffusion scaling | 2018-03-14 | Paper |
| An Asymptotic Preserving Method for Transport Equations with Oscillatory Scattering Coefficients | 2018-01-17 | Paper |
| A convergent method for linear half-space kinetic equations | 2018-01-10 | Paper |
| Exponential Runge-Kutta Methods for the Multispecies Boltzmann Equation | 2017-10-27 | Paper |
| Validity and regularization of classical half-space equations | 2017-06-08 | Paper |
| A Sparse Decomposition of Low Rank Symmetric Positive Semidefinite Matrices | 2017-05-30 | Paper |
| Exploring the Locally Low Dimensional Structure in Solving Random Elliptic PDEs | 2017-05-30 | Paper |
| Asymptotic-Preserving Schemes for Multiscale Hyperbolic and Kinetic Equations | 2017-05-18 | Paper |
| Half-space kinetic equations with general boundary conditions | 2017-03-09 | Paper |
| Sparse + low-energy decomposition for viscous conservation laws | 2016-12-20 | Paper |
| Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy | 2016-12-05 | Paper |
| Diffusion approximations and domain decomposition method of linear transport equations: asymptotics and numerics | 2016-12-05 | Paper |
| Asymptotic-preserving exponential methods for the quantum Boltzmann equation with high-order accuracy | 2015-08-05 | Paper |
| A multi-band semiclassical model for surface hopping quantum dynamics | 2014-05-04 | Paper |
| A BGK‐penalization‐based asymptotic‐preserving scheme for the multispecies Boltzmann equation | 2013-06-13 | Paper |
| Semi-classical models for the Schrödinger equation with periodic potentials and band crossings | 2013-06-07 | Paper |
