On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation. - Daan Huybrechs; Stefan Vandewalle (SIAM J. Numer. Anal., 2006)

The Construction of cubature rules for multivariate highly oscillatory integrals. - Daan Huybrechs; Stefan Vandewalle (Math. Comput., 2007)

A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems. - Daan Huybrechs; Stefan Vandewalle (SIAM J. Sci. Comput., 2007)

On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals. - Daan Huybrechs; Ronald Cools (SIAM J. Numer. Anal., 2008)

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

Complex Gaussian quadrature of oscillatory integrals. - Alfredo Deaño; Daan Huybrechs (Numerische Mathematik, 2009)

Asymptotic Analysis of Numerical Steepest Descent with Path Approximations. - Andreas Asheim; Daan Huybrechs (Found. Comput. Math., 2010)

Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature. - Alfredo Deaño; Daan Huybrechs; Arno B. J. Kuijlaars (J. Approx. Theory, 2010)

Numerical evaluation of the two-dimensional partition of unity boundary integrals for Helmholtz problems. - M. E. Honnor; J. Trevelyan; Daan Huybrechs (J. Comput. Appl. Math., 2010)

Local solutions to high-frequency 2D scattering problems. - Andreas Asheim; Daan Huybrechs (J. Comput. Phys., 2010)

On the Fourier Extension of Nonperiodic Functions. - Daan Huybrechs (SIAM J. Numer. Anal., 2010)

Superinterpolation in Highly Oscillatory Quadrature. - Daan Huybrechs; Sheehan Olver (Found. Comput. Math., 2012)

Asymptotic expansions and fast computation of oscillatory Hilbert transforms. - Haiyong Wang; Lun Zhang; Daan Huybrechs (Numerische Mathematik, 2013)

On the Numerical Stability of Fourier Extensions. - Ben Adcock; Daan Huybrechs; Jesús Martín-Vaquero (Found. Comput. Math., 2014)

Zero distribution of complex orthogonal polynomials with respect to exponential weights. - Daan Huybrechs; Arno B. J. Kuijlaars; Nele Lejon (J. Approx. Theory, 2014)

On the resolution power of Fourier extensions for oscillatory functions. - Ben Adcock; Daan Huybrechs (J. Comput. Appl. Math., 2014)

Coupling of Boundary Element and Wave Based Methods for the efficient solution of complex multiple scattering problems. - Onur Atak; Bart Bergen; Daan Huybrechs; Bert Pluymers; Wim Desmet (J. Comput. Phys., 2014)

Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials. - Haiyong Wang; Daan Huybrechs; Stefan Vandewalle (Math. Comput., 2014)

Extraction of Uniformly Accurate Phase Functions Across Smooth Shadow Boundaries in High Frequency Scattering Problems. - Andreas Asheim; Daan Huybrechs (SIAM J. Appl. Math., 2014)

Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials. - Alfredo Deaño; Daan Huybrechs; Peter Opsomer (Adv. Comput. Math., 2016)

High-frequency asymptotic compression of dense BEM matrices. - Daan Huybrechs; Peter Opsomer (CoRR, 2016)

Construction and implementation of asymptotic expansions for Laguerre-type orthogonal polynomials. - Daan Huybrechs; Peter Opsomer (CoRR, 2016)

Fast Algorithms for the Computation of Fourier Extensions of Arbitrary Length. - Roel Matthysen; Daan Huybrechs (SIAM J. Sci. Comput., 2016)

Coupling modes in high-frequency multiple scattering problems: the case of two circles. - Daan Huybrechs; Peter Opsomer (CoRR, 2017)

Computing highly oscillatory integrals. - Alfredo Deaño; Daan Huybrechs; Arieh Iserles (SIAM, 2018)

Function Approximation on Arbitrary Domains Using Fourier Extension Frames. - Roel Matthysen; Daan Huybrechs (SIAM J. Numer. Anal., 2018)

Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. - Andrew Gibbs; David P. Hewett; Daan Huybrechs; Emile Parolin (CoRR, 2019)

High-Frequency Asymptotic Compression of Dense BEM Matrices for General Geometries Without Ray Tracing. - Daan Huybrechs; Peter Opsomer (J. Sci. Comput., 2019)

A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points. - Daan Huybrechs; Arno B. J. Kuijlaars; Nele Lejon (SIAM J. Numer. Anal., 2019)

Frames and Numerical Approximation. - Ben Adcock; Daan Huybrechs (SIAM Rev., 2019)

Efficient function approximation on general bounded domains using wavelets on a cartesian grid. - Vincent Coppé; Daan Huybrechs (CoRR, 2020)

On the adaptive spectral approximation of functions using redundant sets and frames. - Vincent Coppé; Daan Huybrechs (CoRR, 2020)

Quaternionic Step Derivative: Automatic Differentiation of Holomorphic Functions using Complex Quaternions. - Martin Roelfs; David Dudal; Daan Huybrechs (CoRR, 2020)

The AZ Algorithm for Least Squares Systems with a Known Incomplete Generalized Inverse. - Vincent Coppé; Daan Huybrechs; Roel Matthysen; Marcus Webb (SIAM J. Matrix Anal. Appl., 2020)

Quaternionic step derivative: Machine precision differentiation of holomorphic functions using complex quaternions. - Martin Roelfs; David Dudal; Daan Huybrechs (J. Comput. Appl. Math., 2021)

Efficient function approximation on general bounded domains using splines on a Cartesian grid. - Vincent Coppé; Daan Huybrechs (Adv. Comput. Math., 2022)

Convergence analysis of oversampled collocation boundary element methods in 2D. - Georg Maierhofer; Daan Huybrechs (Adv. Comput. Math., 2022)

Stable approximation of Helmholtz solutions by evanescent plane waves. - Emile Parolin; Daan Huybrechs; Andrea Moiola (CoRR, 2022)

AAA interpolation of equispaced data. - Daan Huybrechs; Lloyd N. Trefethen (CoRR, 2022)

Arbitrary-order asymptotic expansions of Gaussian quadrature rules with classical and generalised weight functions. - Peter Opsomer; Daan Huybrechs (CoRR, 2022)

An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions. - Georg Maierhofer; Daan Huybrechs (J. Comput. Appl. Math., 2022)

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

Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation. - Simon Dirckx; Daan Huybrechs; Karl Meerbergen (SIAM J. Sci. Comput., 2022)

Sigmoid functions and multiscale resolution of singularities. - Daan Huybrechs; Lloyd N. Trefethen (CoRR, 2023)

Efficient Function Approximation in Enriched Approximation Spaces. - Astrid Herremans; Daan Huybrechs (CoRR, 2023)

QR-based Parallel Set-Valued Approximation with Rational Functions. - Simon Dirckx; Karl Meerbergen; Daan Huybrechs (CoRR, 2023)

On the Computation of the SVD of Fourier Submatrices. - Simon Dirckx; Daan Huybrechs; Robbe Ongenae (J. Sci. Comput., 2023)

High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions. - Peter Opsomer; Daan Huybrechs (J. Comput. Appl. Math., 2023)

Resolution of Singularities by Rational Functions. - Astrid Herremans; Daan Huybrechs; Lloyd N. Trefethen (SIAM J. Numer. Anal., 2023)

Uniform 𝓗-matrix Compression with Applications to Boundary Integral Equations. - Kobe Bruyninckx; Daan Huybrechs; Karl Meerbergen (CoRR, 2024)

Efficient least squares approximation and collocation methods using radial basis functions. - Yiqing Zhou; Daan Huybrechs (J. Comput. Appl. Math., 2024)

Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains. - Ben Adcock; Daan Huybrechs; Cécile Piret (SIAM J. Numer. Anal., 2024)

Sigmoid Functions, Multiscale Resolution of Singularities, and $hp$-Mesh Refinement. - Daan Huybrechs; Lloyd N. Trefethen (SIAM Rev., 2024)

Multivariate Rational Approximation of Functions with Curves of Singularities. - Nicolas Boullé; Astrid Herremans; Daan Huybrechs (SIAM J. Sci. Comput., 2024)

Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation. - Andrew Gibbs; David P. Hewett; Daan Huybrechs (J. Comput. Phys., 2024)

Uniform ( mathcal {H} )-Matrix Compression with Applications to Boundary Integral Equations. - Kobe Bruyninckx; Daan Huybrechs; Karl Meerbergen (SIAM J. Sci. Comput., 2025)

Sampling Theory for Function Approximation with Numerical Redundancy. - Astrid Herremans; Daan Huybrechs (CoRR, 2025)

QuantizedSystemSolver: A discontinuous ODE system solver in Julia. - Elmongi Elbellili; Daan Huybrechs; Ben Lauwens (J. Open Source Softw., 2025)

On the algorithmic construction of deep ReLU networks. - Daan Huybrechs (CoRR, 2025)