| Publication | Date of Publication | Type |
|---|
| INTERACTIVE VISUALIZATION OF PROBABILITY AND CUMULATIVE DENSITY FUNCTIONS | 2023-06-09 | Paper |
| Learning Stochastic Dynamical System via Flow Map Operator | 2023-05-05 | Paper |
| Robust modeling of unknown dynamical systems via ensemble averaged learning | 2023-01-11 | Paper |
| DEEP LEARNING OF PARAMETERIZED EQUATIONS WITH APPLICATIONS TO UNCERTAINTY QUANTIFICATION | 2022-11-24 | Paper |
| VISUALIZATION OF COVARIANCE AND CROSS-COVARIANCE FIELDS | 2022-11-04 | Paper |
| Construction of discontinuity detectors using convolutional neural networks | 2022-06-20 | Paper |
| Deep neural network modeling of unknown partial differential equations in nodal space | 2022-05-10 | Paper |
| On generalized residual network for deep learning of unknown dynamical systems | 2022-04-11 | Paper |
| Data-driven deep learning of partial differential equations in modal space | 2022-04-08 | Paper |
| Robust Modeling of Unknown Dynamical Systems via Ensemble Averaged Learning | 2022-03-07 | Paper |
| A non-intrusive correction algorithm for classification problems with corrupted data | 2021-11-24 | Paper |
| A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs | 2021-11-09 | Paper |
| Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws | 2021-11-02 | Paper |
| Data-Driven Learning of Nonautonomous Systems | 2021-06-29 | Paper |
| Deep Neural Network Modeling of Unknown Partial Differential Equations in Nodal Space | 2021-06-07 | Paper |
| Deep learning of biological models from data: applications to ODE models | 2021-03-26 | Paper |
| Structure-Preserving Method for Reconstructing Unknown Hamiltonian Systems From Trajectory Data | 2021-01-29 | Paper |
| Uncertainty quantification of discontinuous outputs via a non-intrusive bifidelity strategy | 2021-01-27 | Paper |
| Data driven governing equations approximation using deep neural networks | 2021-01-26 | Paper |
| Numerical aspects for approximating governing equations using data | 2020-12-10 | Paper |
| Energy conserving Galerkin approximation of two dimensional wave equations with random coefficients | 2020-12-09 | Paper |
| Methods to recover unknown processes in partial differential equations using data | 2020-11-07 | Paper |
| Stochastic Markovian modeling of electrophysiology of ion channels: reconstruction of standard deviations in macroscopic currents | 2020-11-05 | Paper |
| Data-driven learning of non-autonomous systems | 2020-06-02 | Paper |
| Sequential approximation of functions in Sobolev spaces using random samples | 2020-01-27 | Paper |
| On generalized residue network for deep learning of unknown dynamical systems | 2020-01-22 | Paper |
| Data-Driven Deep Learning of Partial Differential Equations in Modal Space | 2019-10-15 | Paper |
| Sequential function approximation with noisy data | 2019-06-26 | Paper |
| An Explicit Neural Network Construction for Piecewise Constant Function Approximation | 2018-08-22 | Paper |
| Sequential function approximation on arbitrarily distributed point sets | 2018-02-22 | Paper |
| A stochastic Galerkin method for first-order quasilinear hyperbolic systems with uncertainty | 2018-01-26 | Paper |
| Multi-fidelity stochastic collocation method for computation of statistical moments | 2017-12-15 | Paper |
| On a near optimal sampling strategy for least squares polynomial regression | 2017-10-26 | Paper |
| A Randomized Tensor Quadrature Method for High Dimensional Polynomial Approximation | 2017-09-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268569 | 2017-06-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5268658 | 2017-06-20 | Paper |
| A Randomized Algorithm for Multivariate Function Approximation | 2017-06-14 | Paper |
| Variance-Based Global Sensitivity Analysis via Sparse-Grid Interpolation and Cubature | 2017-06-07 | Paper |
| Distributional Sensitivity for Uncertainty Quantification | 2017-06-07 | Paper |
| Sparse Approximation using $\ell_1-\ell_2$ Minimization and Its Application to Stochastic Collocation | 2017-02-27 | Paper |
| Asymptotic-preserving methods for hyperbolic and transport equations with random inputs and diffusive scalings | 2016-12-20 | Paper |
| Weighted discrete least-squares polynomial approximation using randomized quadratures | 2016-12-05 | Paper |
| Numerical strategy for model correction using physical constraints | 2016-12-05 | Paper |
| Correcting Data Corruption Errors for Multivariate Function Approximation | 2016-09-07 | Paper |
| A well-balanced stochastic Galerkin method for scalar hyperbolic balance laws with random inputs | 2016-07-05 | Paper |
| Error analysis for numerical formulation of particle filter | 2016-03-10 | Paper |
| Nonadaptive Quasi-Optimal Points Selection for Least Squares Linear Regression | 2016-03-02 | Paper |
| Local Polynomial Chaos Expansion for Linear Differential Equations with High Dimensional Random Inputs | 2015-11-27 | Paper |
| An Efficient Method for Uncertainty Propagation using Fuzzy Sets | 2015-11-12 | Paper |
| A Stochastic Galerkin Method for Hamilton--Jacobi Equations with Uncertainty | 2015-09-21 | Paper |
| Computational Aspects of Stochastic Collocation with Multifidelity Models | 2015-01-14 | Paper |
| Minimal multi-element stochastic collocation for uncertainty quantification of discontinuous functions | 2014-08-27 | Paper |
| On Upper and Lower Bounds for Quantity of Interest in Problems Subject to Epistemic Uncertainty | 2014-08-13 | Paper |
| A Stochastic Collocation Algorithm with Multifidelity Models | 2014-08-13 | Paper |
| Surrogate Based Method for Evaluation of Failure Probability under Multiple Constraints | 2014-08-13 | Paper |
| STOCHASTIC COLLOCATION ALGORITHMS USING l1-MINIMIZATION | 2014-04-25 | Paper |
| Sequential data assimilation with multiple models | 2014-04-23 | Paper |
| A flexible numerical approach for quantification of epistemic uncertainty | 2014-04-22 | Paper |
| Constructing Nested Nodal Sets for Multivariate Polynomial Interpolation | 2014-01-21 | Paper |
| Computation of Failure Probability Subject to Epistemic Uncertainty | 2013-03-06 | Paper |
| Stochastic Collocation for Optimal Control Problems with Stochastic PDE Constraints | 2013-02-21 | Paper |
| Generalised polynomial chaos for a class of linear conservation laws | 2012-11-05 | Paper |
| Stochastic Collocation Methods on Unstructured Grids in High Dimensions via Interpolation | 2012-08-30 | Paper |
| An efficient surrogate-based method for computing rare failure probability | 2012-05-18 | Paper |
| FAST METHOD FOR HIGH-FREQUENCY ACOUSTIC SCATTERING FROM RANDOM SCATTERERS | 2011-09-23 | Paper |
| Characterization of discontinuities in high-dimensional stochastic problems on adaptive sparse grids | 2011-06-15 | Paper |
| Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows | 2011-01-20 | Paper |
| Uncertainty quantification models for micro-scale squeeze-film damping | 2010-12-28 | Paper |
| Evaluation of failure probability via surrogate models | 2010-12-20 | Paper |
| On numerical properties of the ensemble Kalman filter for data assimilation | 2010-09-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3583848 | 2010-08-18 | Paper |
| Performance Evaluation of Generalized Polynomial Chaos | 2010-06-17 | Paper |
| Numerical approach for quantification of epistemic uncertainty | 2010-06-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3406169 | 2010-02-12 | Paper |
| A generalized polynomial chaos based ensemble Kalman filter with high accuracy | 2009-08-19 | Paper |
| Efficient stochastic Galerkin methods for random diffusion equations | 2009-04-03 | Paper |
| Discontinuity detection in multivariate space for stochastic simulations | 2009-03-30 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3538688 | 2008-11-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3538690 | 2008-11-24 | Paper |
| Numerical integration formulas of degree two | 2008-10-07 | Paper |
| Parametric uncertainty analysis of pulse wave propagation in a model of a human arterial network | 2007-11-01 | Paper |
| Numerical Methods for Differential Equations in Random Domains | 2007-05-22 | Paper |
| Stochastic analysis of transport in tubes with rough walls | 2006-10-10 | Paper |
| High-Order Collocation Methods for Differential Equations with Random Inputs | 2006-05-30 | Paper |
| Supersensitivity due to uncertain boundary conditions | 2005-10-20 | Paper |
| Equation-Free, Multiscale Computation for Unsteady Random Diffusion | 2005-10-06 | Paper |
| Equation-free/Galerkin-free POD-assisted computation of incompressible flows | 2005-06-27 | Paper |
| A Two-Scale Nonperturbative Approach to Uncertainty Analysis of Diffusion in Random Composites | 2005-03-21 | Paper |
| Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation | 2005-02-25 | Paper |
| A new stochastic approach to transient heat conduction modeling with uncertainty. | 2004-05-27 | Paper |
| SOME EXPERIMENTS WITH STABILITY ANALYSIS OF DISCRETE INCOMPRESSIBLE FLOWS IN THE LID-DRIVEN CAVITY | 2004-02-03 | Paper |
| A semi-Lagrangian high-order method for Navier-Stokes equations | 2004-01-26 | Paper |
| Modeling uncertainty in flow simulations via generalized polynomial chaos. | 2003-05-20 | Paper |
| Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos | 2003-04-02 | Paper |
| The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations | 2003-01-05 | Paper |
| A semi-Lagrangian method for turbulence simulations using mixed spectral discretizations | 2002-08-20 | Paper |
