Daan Huybrechs

74 papers Journal 73

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Improving the modified linearly implicit quantized state system methods: step size, cycle detection, and linear approximation coefficient. Simul. Elmongi Elbellili, Philippe Blondeel, Daan Huybrechs, Ben Lauwens
2025	J	`jnl`	On the algorithmic construction of deep ReLU networks. CoRR Daan Huybrechs
2025	J	`jnl`	QuantizedSystemSolver: A discontinuous ODE system solver in Julia. J. Open Source Softw. Elmongi Elbellili, Daan Huybrechs, Ben Lauwens
2025	J	`jnl`	Sampling Theory for Function Approximation with Numerical Redundancy. CoRR Astrid Herremans, Daan Huybrechs
2025	J	`jnl`	Uniform $\mathcal {H}$-Matrix Compression with Applications to Boundary Integral Equations. SIAM J. Sci. Comput. Kobe Bruyninckx, Daan Huybrechs, Karl Meerbergen
2024	J	`jnl`	Efficient least squares approximation and collocation methods using radial basis functions. J. Comput. Appl. Math. Yiqing Zhou, Daan Huybrechs
2024	J	`jnl`	Multivariate Rational Approximation of Functions with Curves of Singularities. SIAM J. Sci. Comput. Nicolas Boullé, Astrid Herremans, Daan Huybrechs
2024	J	`jnl`	Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation. J. Comput. Phys. Andrew Gibbs, David P. Hewett, Daan Huybrechs
2024	J	`jnl`	Sigmoid Functions, Multiscale Resolution of Singularities, and $hp$-Mesh Refinement. SIAM Rev. Daan Huybrechs, Lloyd N. Trefethen
2024	J	`jnl`	Stable and Accurate Least Squares Radial Basis Function Approximations on Bounded Domains. SIAM J. Numer. Anal. Ben Adcock, Daan Huybrechs, Cécile Piret
2024	J	`jnl`	Uniform 𝓗-matrix Compression with Applications to Boundary Integral Equations. CoRR Kobe Bruyninckx, Daan Huybrechs, Karl Meerbergen
2023	J	`jnl`	Efficient Function Approximation in Enriched Approximation Spaces. CoRR Astrid Herremans, Daan Huybrechs
2023	J	`jnl`	Efficient least squares approximation and collocation methods using radial basis functions. CoRR Yiqing Zhou, Daan Huybrechs
2023	J	`jnl`	High-order asymptotic expansions of Gaussian quadrature rules with classical and generalized weight functions. J. Comput. Appl. Math. Peter Opsomer, Daan Huybrechs
2023	J	`jnl`	Multivariate rational approximation of functions with curves of singularities. CoRR Nicolas Boullé, Astrid Herremans, Daan Huybrechs
2023	J	`jnl`	Numerical evaluation of oscillatory integrals via automated steepest descent contour deformation. CoRR Andrew Gibbs, David P. Hewett, Daan Huybrechs
2023	J	`jnl`	On the Computation of the SVD of Fourier Submatrices. J. Sci. Comput. Simon Dirckx, Daan Huybrechs, Robbe Ongenae
2023	J	`jnl`	QR-based Parallel Set-Valued Approximation with Rational Functions. CoRR Simon Dirckx, Karl Meerbergen, Daan Huybrechs
2023	J	`jnl`	Resolution of Singularities by Rational Functions. SIAM J. Numer. Anal. Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen
2023	J	`jnl`	Resolution of singularities by rational functions. CoRR Astrid Herremans, Daan Huybrechs, Lloyd N. Trefethen
2023	J	`jnl`	Sigmoid functions and multiscale resolution of singularities. CoRR Daan Huybrechs, Lloyd N. Trefethen
2022	J	`jnl`	AAA interpolation of equispaced data. CoRR Daan Huybrechs, Lloyd N. Trefethen
2022	J	`jnl`	An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions. CoRR Georg Maierhofer, Daan Huybrechs
2022	J	`jnl`	An analysis of least-squares oversampled collocation methods for compactly perturbed boundary integral equations in two dimensions. J. Comput. Appl. Math. Georg Maierhofer, Daan Huybrechs
2022	J	`jnl`	Arbitrary-order asymptotic expansions of Gaussian quadrature rules with classical and generalised weight functions. CoRR Peter Opsomer, Daan Huybrechs
2022	J	`jnl`	Convergence analysis of oversampled collocation boundary element methods in 2D. Adv. Comput. Math. Georg Maierhofer, Daan Huybrechs
2022	J	`jnl`	Efficient function approximation on general bounded domains using splines on a Cartesian grid. Adv. Comput. Math. Vincent Coppé, Daan Huybrechs
2022	J	`jnl`	Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation. SIAM J. Sci. Comput. Simon Dirckx, Daan Huybrechs, Karl Meerbergen
2022	J	`jnl`	On the Computation of Gaussian Quadrature Rules for Chebyshev Sets of Linearly Independent Functions. SIAM J. Numer. Anal. Daan Huybrechs
2022	J	`jnl`	On the computation of the SVD of Fourier submatrices. CoRR Simon Dirckx, Daan Huybrechs, Robbe Ongenae
2022	J	`jnl`	Stable and accurate least squares radial basis function approximations on bounded domains. CoRR Ben Adcock, Daan Huybrechs, Cécile Piret
2022	J	`jnl`	Stable approximation of Helmholtz solutions by evanescent plane waves. CoRR Emile Parolin, Daan Huybrechs, Andrea Moiola
2021	J	`jnl`	Convergence analysis of oversampled collocation boundary element methods in 2D. CoRR Georg Maierhofer, Daan Huybrechs
2021	J	`jnl`	Quaternionic step derivative: Machine precision differentiation of holomorphic functions using complex quaternions. J. Comput. Appl. Math. Martin Roelfs, David Dudal, Daan Huybrechs
2020	J	`jnl`	Efficient function approximation on general bounded domains using wavelets on a cartesian grid. CoRR Vincent Coppé, Daan Huybrechs
2020	J	`jnl`	Frequency extraction for BEM-matrices arising from the 3D scalar Helmholtz equation. CoRR Simon Dirckx, Daan Huybrechs, Karl Meerbergen
2020	J	`jnl`	On the adaptive spectral approximation of functions using redundant sets and frames. CoRR Vincent Coppé, Daan Huybrechs
2020	J	`jnl`	Quaternionic Step Derivative: Automatic Differentiation of Holomorphic Functions using Complex Quaternions. CoRR Martin Roelfs, David Dudal, Daan Huybrechs
2020	J	`jnl`	The AZ Algorithm for Least Squares Systems with a Known Incomplete Generalized Inverse. SIAM J. Matrix Anal. Appl. Vincent Coppé, Daan Huybrechs, Roel Matthysen, Marcus Webb
2019	J	`jnl`	A Numerical Method for Oscillatory Integrals with Coalescing Saddle Points. SIAM J. Numer. Anal. Daan Huybrechs, Arno B. J. Kuijlaars, Nele Lejon
2019	J	`jnl`	Efficient function approximation on general bounded domains using splines on a cartesian grid. CoRR Vincent Coppé, Daan Huybrechs
2019	J	`jnl`	Fast hybrid numerical-asymptotic boundary element methods for high frequency screen and aperture problems based on least-squares collocation. CoRR Andrew Gibbs, David P. Hewett, Daan Huybrechs, Emile Parolin
2019	J	`jnl`	Frames and Numerical Approximation. SIAM Rev. Ben Adcock, Daan Huybrechs
2019	J	`jnl`	High-Frequency Asymptotic Compression of Dense BEM Matrices for General Geometries Without Ray Tracing. J. Sci. Comput. Daan Huybrechs, Peter Opsomer
2019	J	`jnl`	The AZ algorithm for least squares systems with a known incomplete generalized inverse. CoRR Vincent Coppé, Daan Huybrechs, Roel Matthysen, Marcus Webb
2018	—	`book`	Computing highly oscillatory integrals. Alfredo Deaño, Daan Huybrechs, Arieh Iserles
2018	J	`jnl`	Function Approximation on Arbitrary Domains Using Fourier Extension Frames. SIAM J. Numer. Anal. Roel Matthysen, Daan Huybrechs
2017	J	`jnl`	Coupling modes in high-frequency multiple scattering problems: the case of two circles. CoRR Daan Huybrechs, Peter Opsomer
2016	J	`jnl`	Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials. Adv. Comput. Math. Alfredo Deaño, Daan Huybrechs, Peter Opsomer
2016	J	`jnl`	Construction and implementation of asymptotic expansions for Laguerre-type orthogonal polynomials. CoRR Daan Huybrechs, Peter Opsomer
2016	J	`jnl`	Fast Algorithms for the Computation of Fourier Extensions of Arbitrary Length. SIAM J. Sci. Comput. Roel Matthysen, Daan Huybrechs
2016	J	`jnl`	Frames and numerical approximation. CoRR Ben Adcock, Daan Huybrechs
2016	J	`jnl`	High-frequency asymptotic compression of dense BEM matrices. CoRR Daan Huybrechs, Peter Opsomer
2015	J	`jnl`	Construction and implementation of asymptotic expansions for Jacobi-type orthogonal polynomials. CoRR Alfredo Deaño, Daan Huybrechs, Peter Opsomer
2015	J	`jnl`	Fast Algorithms for the computation of Fourier Extensions of arbitrary length. CoRR Roel Matthysen, Daan Huybrechs
2014	J	`jnl`	Coupling of Boundary Element and Wave Based Methods for the efficient solution of complex multiple scattering problems. J. Comput. Phys. Onur Atak, Bart Bergen, Daan Huybrechs, Bert Pluymers, Wim Desmet
2014	J	`jnl`	Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonal polynomials. Math. Comput. Haiyong Wang, Daan Huybrechs, Stefan Vandewalle
2014	J	`jnl`	Extraction of Uniformly Accurate Phase Functions Across Smooth Shadow Boundaries in High Frequency Scattering Problems. SIAM J. Appl. Math. Andreas Asheim, Daan Huybrechs
2014	J	`jnl`	On the Numerical Stability of Fourier Extensions. Found. Comput. Math. Ben Adcock, Daan Huybrechs, Jesús Martín-Vaquero
2014	J	`jnl`	On the resolution power of Fourier extensions for oscillatory functions. J. Comput. Appl. Math. Ben Adcock, Daan Huybrechs
2014	J	`jnl`	Zero distribution of complex orthogonal polynomials with respect to exponential weights. J. Approx. Theory Daan Huybrechs, Arno B. J. Kuijlaars, Nele Lejon
2013	J	`jnl`	Asymptotic expansions and fast computation of oscillatory Hilbert transforms. Numerische Mathematik Haiyong Wang, Lun Zhang, Daan Huybrechs
2012	J	`jnl`	Superinterpolation in Highly Oscillatory Quadrature. Found. Comput. Math. Daan Huybrechs, Sheehan Olver
2010	J	`jnl`	Asymptotic Analysis of Numerical Steepest Descent with Path Approximations. Found. Comput. Math. Andreas Asheim, Daan Huybrechs
2010	J	`jnl`	Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature. J. Approx. Theory Alfredo Deaño, Daan Huybrechs, Arno B. J. Kuijlaars
2010	J	`jnl`	Local solutions to high-frequency 2D scattering problems. J. Comput. Phys. Andreas Asheim, Daan Huybrechs
2010	J	`jnl`	Numerical evaluation of the two-dimensional partition of unity boundary integrals for Helmholtz problems. J. Comput. Appl. Math. M. E. Honnor, J. Trevelyan, Daan Huybrechs
2010	J	`jnl`	On the Fourier Extension of Nonperiodic Functions. SIAM J. Numer. Anal. Daan Huybrechs
2009	J	`jnl`	Complex Gaussian quadrature of oscillatory integrals. Numerische Mathematik Alfredo Deaño, Daan Huybrechs
2009	J	`jnl`	Stable high-order quadrature rules with equidistant points. J. Comput. Appl. Math. Daan Huybrechs
2008	J	`jnl`	On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals. SIAM J. Numer. Anal. Daan Huybrechs, Ronald Cools
2007	J	`jnl`	A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems. SIAM J. Sci. Comput. Daan Huybrechs, Stefan Vandewalle
2007	J	`jnl`	The Construction of cubature rules for multivariate highly oscillatory integrals. Math. Comput. Daan Huybrechs, Stefan Vandewalle
2006	J	`jnl`	On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation. SIAM J. Numer. Anal. Daan Huybrechs, Stefan Vandewalle