| Publication | Date of Publication | Type |
|---|
| Error Analysis for the Implicit Boundary Integral Method | 2023-12-12 | Paper |
| Error estimates for Gaussian beams at a fold caustic | 2023-11-23 | Paper |
| High-order corrected trapezoidal rules for a class of singular integrals | 2023-08-14 | Paper |
| Heterogeneous multiscale methods for the Landau-Lifshitz equation | 2022-12-13 | Paper |
| El-WaveHoltz: a time-domain iterative solver for time-harmonic elastic waves | 2022-11-11 | Paper |
| Corrected Trapezoidal Rule-IBIM for linearized Poisson-Boltzmann equation | 2022-10-07 | Paper |
| Convergence of a class of high order corrected trapezoidal rules | 2022-08-17 | Paper |
| El-WaveHoltz: A Time-Domain Iterative Solver for Time-Harmonic Elastic Waves | 2022-05-24 | Paper |
| Extensions and Analysis of an Iterative Solution of the Helmholtz Equation via the Wave Equation | 2022-05-24 | Paper |
| Corrected trapezoidal rules for singular implicit boundary integrals | 2022-05-11 | Paper |
| On homogenization of the Landau-Lifshitz equation with rapidly oscillating material coefficient | 2022-04-22 | Paper |
| Upscaling Errors in Heterogeneous Multiscale Methods for the Landau--Lifshitz Equation | 2022-03-15 | Paper |
| Coupling of Gaussian Beam and Finite Difference Solvers for Semiclassical Schrödinger Equations | 2021-09-29 | Paper |
| Corrected trapezoidal rules for singular implicit boundary integrals | 2021-07-03 | Paper |
| Homogenization of the Landau-Lifshitz equation | 2020-12-23 | Paper |
| WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation | 2020-11-09 | Paper |
| A wavefront-based Gaussian beam method for computing high frequency wave propagation problems | 2020-10-08 | Paper |
| Stochastic regularity of general quadratic observables of high frequency waves | 2019-08-20 | Paper |
| Adaptive fast interface tracking methods | 2019-06-24 | Paper |
| The Waveguide Eigenvalue Problem and the Tensor Infinite Arnoldi Method | 2017-06-14 | Paper |
| Stochastic regularity of a quadratic observable of high-frequency waves | 2017-01-25 | Paper |
| A Sparse Stochastic Collocation Technique for High-Frequency Wave Propagation with Uncertainty | 2016-12-21 | Paper |
| Sobolev and max norm error estimates for Gaussian beam superpositions | 2016-12-05 | Paper |
| A time dependent approach for removing the cell boundary error in elliptic homogenization problems | 2016-12-05 | Paper |
| Estimates for the upscaling error in heterogeneous multiscale methods for wave propagation problems in locally periodic media | 2016-05-08 | Paper |
| Analysis of Heterogeneous Multiscale Methods for Long Time Wave Propagation Problems | 2015-05-21 | Paper |
| Accuracy of staircase approximations in finite-difference methods for wave propagation | 2014-12-03 | Paper |
| Corrected trapezoidal rules for a class of singular functions | 2014-11-18 | Paper |
| Analysis of high order fast interface tracking methods | 2014-10-24 | Paper |
| Gaussian Beam Methods for the Helmholtz Equation | 2014-09-26 | Paper |
| Multi-scale methods for wave propagation in heterogeneous media | 2014-01-22 | Paper |
| Error estimates for Gaussian beam superpositions | 2013-03-20 | Paper |
| On energy preserving consistent boundary conditions for the Yee scheme in 2D | 2012-11-21 | Paper |
| Multiscale Methods for Wave Propagation in Heterogeneous Media Over Long Time | 2012-07-10 | Paper |
| Taylor expansion and discretization errors in Gaussian beam superposition | 2012-02-11 | Paper |
| Analysis of HMM for One Dimensional Wave Propagation Problems Over Long Time | 2011-11-10 | Paper |
| Analysis of a fast method for solving the high frequency Helmholtz equation in one dimension | 2011-10-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3645656 | 2009-11-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3645657 | 2009-11-18 | Paper |
| Fast interface tracking via a multiresolution representation of curves and surfaces | 2009-07-22 | Paper |
| Wavelets andWavelet Based Numerical Homogenization | 2009-03-12 | Paper |
| Existence, Uniqueness, and a Constructive Solution Algorithm for a Class of Finite Markov Moment Problems | 2008-12-22 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3538703 | 2008-11-24 | Paper |
| A Sparse Spectral Method for Homogenization Multiscale Problems | 2008-09-05 | Paper |
| A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems | 2008-02-15 | Paper |
| A fast phase space method for computing creeping rays | 2006-12-07 | Paper |
| Finite moment problems and applications to multiphase computations in geometric optics | 2006-06-12 | Paper |
| Equation-free, coarse-grained multiscale computation: enabling microscopic simulators to perform system-level analysis | 2006-01-16 | Paper |
| Resolution of the finite Markov moment problem | 2005-12-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5703085 | 2005-11-08 | Paper |
| Normal multiresolution approximation of curves | 2004-10-28 | Paper |
| Numerical microlocal analysis of harmonic wavefields | 2004-10-12 | Paper |
| Computational high frequency wave propagation | 2004-05-27 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4781644 | 2003-07-20 | Paper |
| High-frequency wave propagation by the segment projection method | 2002-11-07 | Paper |
| Effective bifurcation analysis: a time-stepper-based approach | 2002-06-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2776443 | 2002-02-28 | Paper |
| HIGH FREQUENCY LIMIT OF THE HELMHOLTZ EQUATION. II. SOURCE ON A GENERAL SMOOTH MANIFOLD | 2002-01-01 | Paper |
| Some new results in multiphase geometrical optics | 2001-03-28 | Paper |
| Simulation of a waveguide filter using wavelet-based numerical homogenization | 2001-01-01 | Paper |
| Multi-phase computations in geometrical optics | 2000-11-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4247528 | 2000-11-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4270185 | 2000-10-10 | Paper |
| A contribution to wavelet-bases subgrid modeling | 2000-02-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4839566 | 1995-11-28 | Paper |
