We present a computational reduction framework for efficient and accurate solution of Bayesian inverse problems on high-or infinitedimensional parameter spa
The emergence of rectangular spectral collocation methods offers a novel but more flexible and robust way to implement boundary conditions.Moreover,it has a
Following Bornemann's work on computing Taylor coefficients to high precision by contour integrals over circles of large radius,Wang and Huybrechs have rece
From fracture mechanics and fluid dynamics to acoustic and electromagnetic scattering,boundary integral equations reduce the dimensionality of the underlyin
Inspired by the successive projection method,some efficient hybrid algorithms with active-set methods are presented,which make active-set methods suitable f
In this talk,we present perturbation analysis for the total least squares(TLS)problems and develop randomized algorithms for the TLS and the truncated total
For the solution of large sparse box constrained least squares problems(BLS),a new iterative method is proposed by using CG method for inner iterations and
Least squares problems appear in many important applications in science and engineering.Recently,there have been many developments in the solution of least
In this talk we review the general methodology of the Multilevel Monte Carlo method for estimation of the variance and higher order central statistical mome