| Publication | Date of Publication | Type |
|---|
| Temperature field optimization for laser powder bed fusion as a traveling salesperson problem with history | 2024-02-07 | Paper |
| Probabilistic partition of unity networks for high‐dimensional regression problems | 2023-12-02 | Paper |
| Second‐order accurate hierarchical approximate factorizations for solving sparse linear systems | 2023-11-23 | Paper |
| Parallelization of the inverse fast multipole method with an application to boundary element method | 2023-04-25 | Paper |
| HyKKT: a hybrid direct-iterative method for solving KKT linear systems | 2023-03-15 | Paper |
| A numerically stable communication-avoiding s-step GMRES algorithm | 2023-03-15 | Paper |
| On the fractional Laplacian of variable order | 2022-12-21 | Paper |
| Learning generative neural networks with physics knowledge | 2022-06-22 | Paper |
| Hierarchical orthogonal factorization: sparse least squares problems | 2022-06-20 | Paper |
| Physics constrained learning for data-driven inverse modeling from sparse observations | 2022-05-04 | Paper |
| Learning constitutive relations using symmetric positive definite neural networks | 2022-04-21 | Paper |
| Hierarchical Orthogonal Factorization: Sparse Square Matrices | 2022-02-10 | Paper |
| Learning viscoelasticity models from indirect data using deep neural networks | 2021-11-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5161577 | 2021-10-30 | Paper |
| Solving inverse problems in stochastic models using deep neural networks and adversarial training | 2021-10-27 | Paper |
| A Hybrid Direct-Iterative Method for Solving KKT Linear Systems | 2021-10-07 | Paper |
| Linear solvers for power grid optimization problems: a review of GPU-accelerated linear solvers | 2021-06-25 | Paper |
| Trust Region Method for Coupled Systems of PDE Solvers and Deep Neural Networks | 2021-05-16 | Paper |
| Sparse Hierarchical Preconditioners Using Piecewise Smooth Approximations of Eigenvectors | 2021-01-29 | Paper |
| A robust hierarchical solver for ill-conditioned systems with applications to ice sheet modeling | 2021-01-27 | Paper |
| Towards a Scalable Hierarchical High-order CFD Solver | 2021-01-05 | Paper |
| ADCME: Learning Spatially-varying Physical Fields using Deep Neural Networks | 2020-11-24 | Paper |
| Solving Inverse Problems in Steady-State Navier-Stokes Equations using Deep Neural Networks | 2020-08-29 | Paper |
| Learning constitutive relations from indirect observations using deep neural networks | 2020-07-21 | Paper |
| Second Order Accurate Hierarchical Approximate Factorization of Sparse SPD Matrices | 2020-07-01 | Paper |
| A numerical study of super-resolution through fast 3D wideband algorithm for scattering in highly-heterogeneous media | 2020-06-10 | Paper |
| An Algebraic Sparsified Nested Dissection Algorithm Using Low-Rank Approximations | 2020-06-04 | Paper |
| Isogeometric collocation method for the fractional Laplacian in the 2D bounded domain | 2020-05-14 | Paper |
| Inverse Modeling of Viscoelasticity Materials using Physics Constrained Learning | 2020-05-09 | Paper |
| Efficient mesh deformation based on radial basis function interpolation by means of the inverse fast multipole method | 2020-04-03 | Paper |
| Learning Constitutive Relations using Symmetric Positive Definite Neural Networks | 2020-04-01 | Paper |
| Physics Constrained Learning for Data-driven Inverse Modeling from Sparse Observations | 2020-02-24 | Paper |
| Learning Hidden Dynamics using Intelligent Automatic Differentiation | 2019-12-16 | Paper |
| Block Basis Factorization for Scalable Kernel Evaluation | 2019-12-09 | Paper |
| Adversarial Numerical Analysis for Inverse Problems | 2019-10-15 | Paper |
| Fast Low-Rank Kernel Matrix Factorization Using Skeletonized Interpolation | 2019-08-28 | Paper |
| The Neural Network Approach to Inverse Problems in Differential Equations | 2019-01-23 | Paper |
| Low-Rank Factorizations in Data Sparse Hierarchical Algorithms for Preconditioning Symmetric Positive Definite Matrices | 2019-01-07 | Paper |
| On the Numerical Rank of Radial Basis Function Kernels in High Dimensions | 2019-01-07 | Paper |
| Efficient Numerical Method for Models Driven by L\'evy Process via Hierarchical Matrices | 2018-12-17 | Paper |
| Spectral Method for the Fractional Laplacian in 2D and 3D | 2018-12-17 | Paper |
| Gaussian Quadrature Rule using {\epsilon}-Quasiorthogonality | 2018-11-12 | Paper |
| Large-scale stochastic linear inversion using hierarchical matrices. Illustrated with an application to crosswell tomography in seismic imaging | 2018-08-21 | Paper |
| Low-Rank Kernel Matrix Approximation Using Skeletonized Interpolation With Endo- or Exo-Vertices | 2018-07-12 | Paper |
| A distributed-memory hierarchical solver for general sparse linear systems | 2017-12-19 | Paper |
| Application of the inverse fast multipole method as a preconditioner in a 3D Helmholtz boundary element method | 2017-12-15 | Paper |
| Fast Low-Rank Kernel Matrix Factorization through Skeletonized Interpolation | 2017-06-08 | Paper |
| The Inverse Fast Multipole Method: Using a Fast Approximate Direct Solver as a Preconditioner for Dense Linear Systems | 2017-05-31 | Paper |
| Fast Hierarchical Solvers For Sparse Matrices Using Extended Sparsification and Low-Rank Approximation | 2017-05-31 | Paper |
| A new sparse matrix vector multiplication graphics processing unit algorithm designed for finite element problems | 2016-12-30 | Paper |
| A fast, memory efficient and robust sparse preconditioner based on a multifrontal approach with applications to finite‐element matrices | 2016-12-30 | Paper |
| A fast block low-rank dense solver with applications to finite-element matrices | 2016-12-05 | Paper |
| Sparse Hierarchical Solvers with Guaranteed Convergence | 2016-11-10 | Paper |
| An efficient preconditioner for the fast simulation of a 2D Stokes flow in porous media | 2016-09-14 | Paper |
| Optimizing the Adaptive Fast Multipole Method for Fractal Sets | 2015-06-09 | Paper |
| Analysis of the accelerated weighted ensemble methodology | 2015-01-21 | Paper |
| A Fast and Memory Efficient Sparse Solver with Applications to Finite-Element Matrices | 2014-10-10 | Paper |
| Cauchy Fast Multipole Method for General Analytic Kernels | 2014-08-13 | Paper |
| Task-Based FMM for Multicore Architectures | 2014-05-26 | Paper |
| A Kalman filter powered by $\mathcal{H}^2$-matrices for quasi-continuous data assimilation problems | 2014-04-15 | Paper |
| An \(\mathcal O(N\log N)\) fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation | 2014-03-21 | Paper |
| Computing reaction rates in bio-molecular systems using discrete macro-states | 2013-07-02 | Paper |
| Fourier-Based Fast Multipole Method for the Helmholtz Equation | 2013-04-29 | Paper |
| Optimized M2L Kernels for the Chebyshev Interpolation based Fast Multipole Method | 2012-10-27 | Paper |
| Fast Multipole Method Using the Cauchy Integral Formula | 2012-07-10 | Paper |
| Time integrators based on approximate discontinuous Hamiltonians | 2012-07-02 | Paper |
| Optimizing the multipole-to-local operator in the fast multipole method for graphical processing units | 2012-07-02 | Paper |
| Extension and optimization of the FIND algorithm: Computing Green's and less-than Green's functions | 2012-05-18 | Paper |
| Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation | 2012-05-18 | Paper |
| The fast multipole method on parallel clusters, multicore processors, and graphics processing units | 2011-07-26 | Paper |
| Assembly of finite element methods on graphics processors | 2011-07-20 | Paper |
| A smooth particle-mesh Ewald algorithm for Stokes suspension simulations: The sedimentation of fibers | 2010-04-22 | Paper |
| The black-box fast multipole method | 2009-11-17 | Paper |
| A hybrid method for the parallel computation of Green's functions | 2009-08-19 | Paper |
| Large calculation of the flow over a hypersonic vehicle using a GPU | 2009-01-06 | Paper |
| The effect of stratification on the wave number selection in the instability of sedimenting spheroids | 2008-11-03 | Paper |
| Stabilization of a suspension of sedimenting rods by induced-charge electrophoresis | 2008-11-03 | Paper |
| Fast electrostatic force calculation on parallel computer clusters | 2008-10-08 | Paper |
| Stability of asynchronous variational integrators | 2008-09-05 | Paper |
| Hydrodynamic interactions in the induced-charge electrophoresis of colloidal rod dispersions | 2006-10-30 | Paper |
| Numerical Methods for Calculating the Potential of Mean Force | 2006-08-24 | Paper |
| Effect of flexibility on the shear-induced migration of short-chain polymers in parabolic channel flow | 2006-08-10 | Paper |
| The growth of concentration fluctuations in dilute dispersions of orientable and deformable particles under sedimentation | 2006-05-03 | Paper |
| A fast multipole method for Maxwell equations stable at all frequencies | 2005-09-01 | Paper |
| Efficient fast multipole method for low-frequency scattering | 2004-08-06 | Paper |
| The fast multipole method: Numerical implementation | 2001-12-12 | Paper |
| The Fast Multipole Method I: Error Analysis and Asymptotic Complexity | 2000-10-19 | Paper |
| Fast-multipole method: a mathematical study | 1998-02-25 | Paper |
