17 citations · 95 across the 41 of their papers we have counts for
4 papers · 1 filter
Frequency extraction for BEM-matrices arising from the 3D scalar Helmholtz equation
Simon Dirckx, Daan Huybrechs, Karl Meerbergen
The discretisation of boundary integral equations for the scalar Helmholtz equation leads to large dense linear systems. Efficient boundary element methods (BEM), such as the fast…
Quaternionic Step Derivative: Machine Precision Differentiation of Holomorphic Functions using Complex Quaternions
Martin Roelfs, David Dudal, Daan Huybrechs
The known Complex Step Derivative (CSD) method allows easy and accurate differentiation up to machine precision of real analytic functions by evaluating them a small imaginary step…
On the adaptive spectral approximation of functions using redundant sets and frames
Vincent Coppé, Daan Huybrechs
The approximation of smooth functions with a spectral basis typically leads to rapidly decaying coefficients where the rate of decay depends on the smoothness of the function and v…
Efficient function approximation on general bounded domains using wavelets on a cartesian grid
Vincent Coppé, Daan Huybrechs
Fourier extension is an approximation method that alleviates the periodicity requirements of Fourier series and avoids the Gibbs phenomenon when approximating functions. We describ…