Daan Huybrechs

Publication Activity (10 Years)

Years Active: 2006-2024
Publications (10 Years): 44

Top Topics

Function Approximation

Orthogonal Polynomials

Top Venues

J. Comput. Appl. Math.

SIAM J. Numer. Anal.

Adv. Comput. Math.

Publications

Kobe Bruyninckx, Daan Huybrechs, Karl Meerbergen
Uniform 𝓗-matrix Compression with Applications to Boundary Integral Equations. CoRR (2024)
Yiqing Zhou, Daan Huybrechs
Efficient least squares approximation and collocation methods using radial basis functions. J. Comput. Appl. Math. 447 (2024)
Andrew Gibbs, David P. Hewett, Daan Huybrechs
Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation. J. Comput. Phys. 501 (2024)
Simon Dirckx, Daan Huybrechs, Robbe Ongenae
On the Computation of the SVD of Fourier Submatrices. J. Sci. Comput. 95 (2) (2023)
Daan Huybrechs, Lloyd N. Trefethen
Sigmoid functions and multiscale resolution of singularities. CoRR (2023)
Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen
Resolution of Singularities by Rational Functions. SIAM J. Numer. Anal. 61 (6) (2023)
Andrew Gibbs, David P. Hewett, Daan Huybrechs
Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation. CoRR (2023)
Simon Dirckx, Karl Meerbergen, Daan Huybrechs
QR-based Parallel Set-Valued Approximation with Rational Functions. CoRR (2023)
Nicolas Boullé, Astrid Herremans, Daan Huybrechs
Multivariate rational approximation of functions with curves of singularities. CoRR (2023)
Peter Opsomer, Daan Huybrechs
High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions. J. Comput. Appl. Math. 434 (2023)
Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen
Resolution of singularities by rational functions. CoRR (2023)
Yiqing Zhou, Daan Huybrechs
Efficient least squares approximation and collocation methods using radial basis functions. CoRR (2023)
Astrid Herremans, Daan Huybrechs
Efficient Function Approximation in Enriched Approximation Spaces. CoRR (2023)
Georg Maierhofer, Daan Huybrechs
An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions. J. Comput. Appl. Math. 416 (2022)
Daan Huybrechs, Lloyd N. Trefethen
AAA interpolation of equispaced data. CoRR (2022)
Daan Huybrechs
On the Computation of Gaussian Quadrature Rules for Chebyshev Sets of Linearly Independent Functions. SIAM J. Numer. Anal. 60 (3) (2022)
Peter Opsomer, Daan Huybrechs
Arbitrary-order asymptotic expansions of Gaussian quadrature rules with classical and generalised weight functions. CoRR (2022)
Simon Dirckx, Daan Huybrechs, Robbe Ongenae
On the computation of the SVD of Fourier submatrices. CoRR (2022)
Georg Maierhofer, Daan Huybrechs
An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions. CoRR (2022)
Emile Parolin, Daan Huybrechs, Andrea Moiola
Stable approximation of Helmholtz solutions by evanescent plane waves. CoRR (2022)
Simon Dirckx, Daan Huybrechs, Karl Meerbergen
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation. SIAM J. Sci. Comput. 44 (5) (2022)
Vincent Coppé, Daan Huybrechs
Efficient function approximation on general bounded domains using splines on a Cartesian grid. Adv. Comput. Math. 48 (5) (2022)
Ben Adcock, Daan Huybrechs, Cécile Piret
Stable and accurate least squares radial basis function approximations on bounded domains. CoRR (2022)
Georg Maierhofer, Daan Huybrechs
Convergence analysis of oversampled collocation boundary element methods in 2D. Adv. Comput. Math. 48 (2) (2022)
Georg Maierhofer, Daan Huybrechs
Convergence analysis of oversampled collocation boundary element methods in 2D. CoRR (2021)
Martin Roelfs, David Dudal, Daan Huybrechs
Quaternionic step derivative: Machine precision differentiation of holomorphic functions using complex quaternions. J. Comput. Appl. Math. 398 (2021)
Martin Roelfs, David Dudal, Daan Huybrechs
Quaternionic Step Derivative: Automatic Differentiation of Holomorphic Functions using Complex Quaternions. CoRR (2020)
Vincent Coppé, Daan Huybrechs
On the adaptive spectral approximation of functions using redundant sets and frames. CoRR (2020)
Vincent Coppé, Daan Huybrechs, Roel Matthysen, Marcus Webb
The AZ Algorithm for Least Squares Systems with a Known Incomplete Generalized Inverse. SIAM J. Matrix Anal. Appl. 41 (3) (2020)
Vincent Coppé, Daan Huybrechs
Efficient function approximation on general bounded domains using wavelets on a cartesian grid. CoRR (2020)
Simon Dirckx, Daan Huybrechs, Karl Meerbergen
Frequency extraction for BEM-matrices arising from the 3D scalar Helmholtz equation. CoRR (2020)
Vincent Coppé, Daan Huybrechs
Efficient function approximation on general bounded domains using splines on a cartesian grid. CoRR (2019)
Ben Adcock, Daan Huybrechs
Frames and Numerical Approximation. SIAM Rev. 61 (3) (2019)
Andrew Gibbs, David P. Hewett, Daan Huybrechs, Emile Parolin
Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. CoRR (2019)
Vincent Coppé, Daan Huybrechs, Roel Matthysen, Marcus Webb
The AZ algorithm for least squares systems with a known incomplete generalized inverse. CoRR (2019)
Daan Huybrechs, Arno B. J. Kuijlaars, Nele Lejon
A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points. SIAM J. Numer. Anal. 57 (6) (2019)
Daan Huybrechs, Peter Opsomer
High-Frequency Asymptotic Compression of Dense BEM Matrices for General Geometries Without Ray Tracing. J. Sci. Comput. 78 (2) (2019)
Roel Matthysen, Daan Huybrechs
Function Approximation on Arbitrary Domains Using Fourier Extension Frames. SIAM J. Numer. Anal. 56 (3) (2018)
Daan Huybrechs, Peter Opsomer
Coupling modes in high-frequency multiple scattering problems: the case of two circles. CoRR (2017)
Daan Huybrechs, Peter Opsomer
Construction and implementation of asymptotic expansions for Laguerre-type orthogonal polynomials. CoRR (2016)
Ben Adcock, Daan Huybrechs
Frames and numerical approximation. CoRR (2016)
Alfredo Deaño, Daan Huybrechs, Peter Opsomer
Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials. Adv. Comput. Math. 42 (4) (2016)
Daan Huybrechs, Peter Opsomer
High-frequency asymptotic compression of dense BEM matrices. CoRR (2016)
Roel Matthysen, Daan Huybrechs
Fast Algorithms for the Computation of Fourier Extensions of Arbitrary Length. SIAM J. Sci. Comput. 38 (2) (2016)
Alfredo Deaño, Daan Huybrechs, Peter Opsomer
Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials. CoRR (2015)
Roel Matthysen, Daan Huybrechs
Fast Algorithms for the computation of Fourier Extensions of arbitrary length. CoRR (2015)
Ben Adcock, Daan Huybrechs, Jesús Martín-Vaquero
On the Numerical Stability of Fourier Extensions. Found. Comput. Math. 14 (4) (2014)
Ben Adcock, Daan Huybrechs
On the resolution power of Fourier extensions for oscillatory functions. J. Comput. Appl. Math. 260 (2014)
Onur Atak, Bart Bergen, Daan Huybrechs, Bert Pluymers, Wim Desmet
Coupling of Boundary Element and Wave Based Methods for the efficient solution of complex multiple scattering problems. J. Comput. Phys. 258 (2014)
Daan Huybrechs, Arno B. J. Kuijlaars, Nele Lejon
Zero distribution of complex orthogonal polynomials with respect to exponential weights. J. Approx. Theory 184 (2014)
Haiyong Wang, Daan Huybrechs, Stefan Vandewalle
Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials. Math. Comput. 83 (290) (2014)
Andreas Asheim, Daan Huybrechs
Extraction of Uniformly Accurate Phase Functions Across Smooth Shadow Boundaries in High Frequency Scattering Problems. SIAM J. Appl. Math. 74 (2) (2014)
Haiyong Wang, Lun Zhang, Daan Huybrechs
Asymptotic expansions and fast computation of oscillatory Hilbert transforms. Numerische Mathematik 123 (4) (2013)
Daan Huybrechs, Sheehan Olver
Superinterpolation in Highly Oscillatory Quadrature. Found. Comput. Math. 12 (2) (2012)
Andreas Asheim, Daan Huybrechs
Asymptotic Analysis of Numerical Steepest Descent with Path Approximations. Found. Comput. Math. 10 (6) (2010)
Daan Huybrechs
On the Fourier Extension of Nonperiodic Functions. SIAM J. Numer. Anal. 47 (6) (2010)
M. E. Honnor, J. Trevelyan, Daan Huybrechs
Numerical evaluation of the two-dimensional partition of unity boundary integrals for Helmholtz problems. J. Comput. Appl. Math. 234 (6) (2010)
Alfredo Deaño, Daan Huybrechs, Arno B. J. Kuijlaars
Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature. J. Approx. Theory 162 (12) (2010)
Andreas Asheim, Daan Huybrechs
Local solutions to high-frequency 2D scattering problems. J. Comput. Phys. 229 (14) (2010)
Daan Huybrechs
Stable high-order quadrature rules with equidistant points. J. Comput. Appl. Math. 231 (2) (2009)
Alfredo Deaño, Daan Huybrechs
Complex Gaussian quadrature of oscillatory integrals. Numerische Mathematik 112 (2) (2009)
Daan Huybrechs, Ronald Cools
On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals. SIAM J. Numer. Anal. 47 (1) (2008)
Daan Huybrechs, Stefan Vandewalle
A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems. SIAM J. Sci. Comput. 29 (6) (2007)
Daan Huybrechs, Stefan Vandewalle
The Construction of cubature rules for multivariate highly oscillatory integrals. Math. Comput. 76 (260) (2007)
Daan Huybrechs, Stefan Vandewalle
On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation. SIAM J. Numer. Anal. 44 (3) (2006)