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List of works by Daan Huybrechs

A Gaussian quadrature rule for oscillatory integrals on a bounded interval

A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems

A hybrid Boundary Element-Wave Based Method for an efficient solution of bounded acoustic problems with inclusions

scientific article

A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel

A refined use of the residue theorem for the evaluation of band-averaged input power into linear second-order dynamic systems

A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel

An efficient implementation of boundary element methods for computationally expensive Green's functions

An oversampled collocation approach of the Wave Based Method for Helmholtz problems

Asymptotic Analysis of Numerical Steepest Descent with Path Approximations

Asymptotic expansions and fast computation of oscillatory Hilbert transforms

Asymptotic zero distribution of complex orthogonal polynomials associated with Gaussian quadrature

Complex Gaussian quadrature for oscillatory integral transforms

Complex Gaussian quadrature of oscillatory integrals

Composite quadrature formulae for the approximation of wavelet coefficients of piecewise smooth and singular functions

Coupling of Boundary Element and Wave Based Methods for the efficient solution of complex multiple scattering problems

scientific article

Efficient function approximation on general bounded domains using splines on a Cartesian grid

Extraction of Uniformly Accurate Phase Functions Across Smooth Shadow Boundaries in High Frequency Scattering Problems

Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation

From high oscillation to rapid approximation IV: accelerating convergence

From high oscillation to rapid approximation V: the equilateral triangle

Local solutions to high-frequency 2D scattering problems

Numerical evaluation of the two-dimensional partition of unity boundary integrals for Helmholtz problems

On Generalized Gaussian Quadrature Rules for Singular and Nearly Singular Integrals

On the Computation of Gaussian Quadrature Rules for Chebyshev Sets of Linearly Independent Functions

scientific article published in 2022

On the Computation of the SVD of Fourier Submatrices

scientific article published on 17 April 2023

On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation

On the Fourier Extension of Nonperiodic Functions

On the Numerical Stability of Fourier Extensions

On the resolution power of Fourier extensions for oscillatory functions

On the use of the residue theorem for the efficient evaluation of band-averaged input power into linear second-order dynamic systems

Quaternionic step derivative: Machine precision differentiation of holomorphic functions using complex quaternions

Recent topics in numerical integration

Stable high-order quadrature rules with equidistant points

Superinterpolation in Highly Oscillatory Quadrature

The Construction of cubature rules for multivariate highly oscillatory integrals

The design of Helmholtz resonator based acoustic lenses by using the symmetric Multi-Level Wave Based Method and genetic algorithms

scientific article

Zero distribution of complex orthogonal polynomials with respect to exponential weights