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Researcher
Daan Huybrechs
- Disciplines:Distributed computing, Scientific computing, Statistics and numerical methods
Affiliations
- Numerical Analysis and Applied Mathematics (NUMA) (Division)
Member
From1 Aug 2020 → 30 Sep 2022 - NUMA, Numerical Analysis and Applied Mathematics Section (Division)
Member
From1 Sep 2002 → 31 Jul 2020
Projects
1 - 10 of 14
- Continuous Time Simulation in a Discrete Event Framework: Quantized System Solver ApproachFrom20 Dec 2022 → TodayFunding: Own budget, for example: patrimony, inscription fees, gifts
- Optimal and efficient sampling for rectangular approximation methodsFrom1 Oct 2022 → TodayFunding: FWO fellowships
- Structured low-rank representations for frequency-dependent wave simulationsFrom1 Sep 2022 → TodayFunding: BOF - doctoral mandates
- Structured low-rank representations for frequency-dependent wave scattering simulations using boundary element methodsFrom1 Jan 2022 → TodayFunding: FWO research project (including WEAVE projects)
- Efficient Representations of Wavenumber Dependent BEM Matrices: Construction and Analysis for the 3D Scalar Helmholtz EquationFrom1 Sep 2019 → 24 Jan 2024Funding: BOF - doctoral mandates
- Turning redundancy into a computational advantage: frame-based discretisations of differential equationsFrom1 Oct 2017 → 1 Aug 2019Funding: FWO fellowships
- Algorithms for Function Approximation with Redundancy on Complex GeometriesFrom19 Sep 2016 → 7 Sep 2020Funding: BOF - Doctoral projects
- Coping with redundancy: frame-based discretizations of operator equations.From1 Oct 2015 → 30 Sep 2019Funding: BOF - Concerted Research Project from 1994
- Frame computing for the simulation of oscillatory phenomena (Waves).From1 Jan 2014 → 31 Dec 2017Funding: FWO research project
- Introducing Redundancy into Numerical Computations: Computing with FramesFrom16 Sep 2013 → 19 Mar 2018Funding: BOF - Doctoral projects
Publications
1 - 10 of 84
- Efficient Representations of Wavenumber Dependent BEM Matrices: Construction and Analysis for the 3D Scalar Helmholtz Equation(2024)
Authors: Simon Dirckx, Daan Huybrechs, Karl Meerbergen
- Stable approximation of Helmholtz solutions in the disk by evanescent plane waves(2023)
Authors: Daan Huybrechs
Pages: 3499 - 3536 - High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions(2023)
Authors: Daan Huybrechs
- Efficient function approximation on general bounded domains using splines on a Cartesian grid(2022)
Authors: Daan Huybrechs
- An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions(2022)
Authors: Daan Huybrechs
- Convergence analysis of oversampled collocation boundary element methods in 2D(2022)
Authors: Daan Huybrechs
- FREQUENCY EXTRACTION FOR BEM MATRICES ARISING FROM THE 3D SCALAR HELMHOLTZ EQUATION(2022)
Authors: Daan Huybrechs, Karl Meerbergen
Pages: B1282 - B1311 - On the adaptive spectral approximation of functions using redundant sets and frames(2022)
Authors: Daan Huybrechs
Pages: 27 - 53 - On the computation of Gaussian quadrature rules for Chebyshev sets of linearly independent functions(2022)
Authors: Daan Huybrechs
Pages: 1168 - 1192 - Quaternionic Step Derivative: Automatic Differentiation of Holomorphic Functions using Complex Quaternions(2021)
Authors: Martin Roelfs, David Dudal, Daan Huybrechs