Daan Huybrechs

Orcid: 0000-0002-0536-2647

Affiliations:
  • Catholic University of Leuven, Belgium


According to our database1, Daan Huybrechs authored at least 55 papers between 2006 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.

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Bibliography

2024
Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation.
J. Comput. Phys., March, 2024

Multivariate Rational Approximation of Functions with Curves of Singularities.
SIAM J. Sci. Comput., 2024

Sigmoid Functions, Multiscale Resolution of Singularities, and $hp$-Mesh Refinement.
SIAM Rev., 2024

Efficient least squares approximation and collocation methods using radial basis functions.
J. Comput. Appl. Math., 2024

Uniform 𝓗-matrix Compression with Applications to Boundary Integral Equations.
CoRR, 2024

2023
Resolution of Singularities by Rational Functions.
SIAM J. Numer. Anal., December, 2023

High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions.
J. Comput. Appl. Math., December, 2023

On the Computation of the SVD of Fourier Submatrices.
J. Sci. Comput., May, 2023

QR-based Parallel Set-Valued Approximation with Rational Functions.
CoRR, 2023

Efficient Function Approximation in Enriched Approximation Spaces.
CoRR, 2023

Sigmoid functions and multiscale resolution of singularities.
CoRR, 2023

2022
Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation.
SIAM J. Sci. Comput., October, 2022

On the Computation of Gaussian Quadrature Rules for Chebyshev Sets of Linearly Independent Functions.
SIAM J. Numer. Anal., 2022

An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions.
J. Comput. Appl. Math., 2022

Stable and accurate least squares radial basis function approximations on bounded domains.
CoRR, 2022

Arbitrary-order asymptotic expansions of Gaussian quadrature rules with classical and generalised weight functions.
CoRR, 2022

AAA interpolation of equispaced data.
CoRR, 2022

Stable approximation of Helmholtz solutions by evanescent plane waves.
CoRR, 2022

Convergence analysis of oversampled collocation boundary element methods in 2D.
Adv. Comput. Math., 2022

Efficient function approximation on general bounded domains using splines on a Cartesian grid.
Adv. Comput. Math., 2022

2021
Quaternionic step derivative: Machine precision differentiation of holomorphic functions using complex quaternions.
J. Comput. Appl. Math., 2021

2020
The AZ Algorithm for Least Squares Systems with a Known Incomplete Generalized Inverse.
SIAM J. Matrix Anal. Appl., 2020

Quaternionic Step Derivative: Automatic Differentiation of Holomorphic Functions using Complex Quaternions.
CoRR, 2020

On the adaptive spectral approximation of functions using redundant sets and frames.
CoRR, 2020

Efficient function approximation on general bounded domains using wavelets on a cartesian grid.
CoRR, 2020

2019
Frames and Numerical Approximation.
SIAM Rev., 2019

A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points.
SIAM J. Numer. Anal., 2019

High-Frequency Asymptotic Compression of Dense BEM Matrices for General Geometries Without Ray Tracing.
J. Sci. Comput., 2019

Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation.
CoRR, 2019

2018
Function Approximation on Arbitrary Domains Using Fourier Extension Frames.
SIAM J. Numer. Anal., 2018

Computing highly oscillatory integrals.
SIAM, ISBN: 978-1-611-97511-6, 2018

2017
Coupling modes in high-frequency multiple scattering problems: the case of two circles.
CoRR, 2017

2016
Fast Algorithms for the Computation of Fourier Extensions of Arbitrary Length.
SIAM J. Sci. Comput., 2016

Construction and implementation of asymptotic expansions for Laguerre-type orthogonal polynomials.
CoRR, 2016

High-frequency asymptotic compression of dense BEM matrices.
CoRR, 2016

Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials.
Adv. Comput. Math., 2016

2014
Extraction of Uniformly Accurate Phase Functions Across Smooth Shadow Boundaries in High Frequency Scattering Problems.
SIAM J. Appl. Math., 2014

Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials.
Math. Comput., 2014

Coupling of Boundary Element and Wave Based Methods for the efficient solution of complex multiple scattering problems.
J. Comput. Phys., 2014

On the resolution power of Fourier extensions for oscillatory functions.
J. Comput. Appl. Math., 2014

Zero distribution of complex orthogonal polynomials with respect to exponential weights.
J. Approx. Theory, 2014

On the Numerical Stability of Fourier Extensions.
Found. Comput. Math., 2014

2013
Asymptotic expansions and fast computation of oscillatory Hilbert transforms.
Numerische Mathematik, 2013

2012
Superinterpolation in Highly Oscillatory Quadrature.
Found. Comput. Math., 2012

2010
On the Fourier Extension of Nonperiodic Functions.
SIAM J. Numer. Anal., 2010

Local solutions to high-frequency 2D scattering problems.
J. Comput. Phys., 2010

Numerical evaluation of the two-dimensional partition of unity boundary integrals for Helmholtz problems.
J. Comput. Appl. Math., 2010

Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature.
J. Approx. Theory, 2010

Asymptotic Analysis of Numerical Steepest Descent with Path Approximations.
Found. Comput. Math., 2010

2009
Complex Gaussian quadrature of oscillatory integrals.
Numerische Mathematik, 2009

Stable high-order quadrature rules with equidistant points.
J. Comput. Appl. Math., 2009

2008
On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals.
SIAM J. Numer. Anal., 2008

2007
A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems.
SIAM J. Sci. Comput., 2007

The Construction of cubature rules for multivariate highly oscillatory integrals.
Math. Comput., 2007

2006
On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation.
SIAM J. Numer. Anal., 2006


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