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26 Apr 2024: the solution of rapidly oscillating ordinary differential equations, computation of spectra of Fredholm operators with highly oscillatory kernels and rapid approximation of functions by Birkhoff series.

25 Apr 2024: the solution of rapidly oscillating ordinary differential equations, computation of spectra of Fredholm operators with highly oscillatory kernels and rapid approximation of functions by Birkhoff series.

3 Mar 2024: Analysis of collocation methods for Fredholm integral equations. In collaboration with Prof. ... How many observations are enough? - Convergence analysis of least-squares oversampled collocation methods for Fredholm integral equations.

26 Apr 2024: the solution of rapidly oscillating ordinary differential equations, computation of spectra of Fredholm operators with highly oscillatory kernels and rapid approximation of functions by Birkhoff series.

10 Apr 2008: corresponding to a Fredholm integral operator of rank 2. Its (unique) solution is given by. ... There are two numerical challenges commonly associated with Fredholm operators of thesecond kind.

26 Apr 2024: 2011). 1,. 337. (doi: 10.1109/Allerton.2011.6120187). The computation of the spectra of highly oscillatory Fredholm integral operators.

26 Apr 2024: 2009). 2,. 1129. (doi: 10.1137/080728548). The spectral problem for a class of highly oscillatory Fredholm integral operators.

30 Nov 2009: Spectra of highly oscillatory Fredholm integral operators 15. =. 1. 1Pm(x) cos ωxdx. ... Spectra of highly oscillatory Fredholm integral operators 29. 3.5 Large-n asymptotics.

I will survey various results on applications and extensions of Hofer-Wysocki-Zehnder's polyfold theory: - fiber products of polyfold Fredholm sections - equivariant transversality - existence and obstructions - equivariant fundamental class -

Consider a space XX, such as a compact space of JJ-holomorphic stable maps with closed domain, that is the zero set of a Fredholm operator.