12 citations · 24 across the 3 of their papers we have counts for
4 papers · 1 filter
Arbitrary-order asymptotic expansions of Gaussian quadrature rules with classical and generalised weight functions
Peter Opsomer, Daan Huybrechs
Gaussian quadrature rules are a classical tool for the numerical approximation of integrals with smooth integrands and positive weight functions. We derive and expicitly list asymp…
On the eigenmodes of periodic orbits for multiple scattering problems in 2D
Daan Huybrechs, Peter Opsomer
Wave propagation and acoustic scattering problems require vast computational resources to be solved accurately at high frequencies. Asymptotic methods can make this cost potentiall…
Construction and implementation of asymptotic expansions for Laguerre-type orthogonal polynomials
Daan Huybrechs, Peter Opsomer
Laguerre and Laguerre-type polynomials are orthogonal polynomials on the interval with respect to a weight function of the form $w(x) = x^α e^{-Q(x)}, Q(x) = \sum_{k=0…
High-frequency asymptotic compression of dense BEM matrices for general geometries without ray tracing
Daan Huybrechs, Peter Opsomer
Wave propagation and scattering problems in acoustics are often solved with boundary element methods. They lead to a discretization matrix that is typically dense and large: its si…