Zobrazeno 1 - 10
of 6 573
pro vyhledávání: '"Pearson John"'
We consider the solution of saddle-point systems with a tree-based block structure, introducing a parallelizable direct method for their solution. As our key contribution, we then propose several structure-exploiting preconditioners to be used during
Externí odkaz:
http://arxiv.org/abs/2410.23385
Using the fourth-order extended Thomas-Fermi method with Strutinsky-integral shell and pairing corrections, we calculate the inner crust of neutron stars with the BSk31 functional, whose pairing has two terms: i) a term that is fitted to the results
Externí odkaz:
http://arxiv.org/abs/2410.01997
An automated framework is presented for the numerical solution of optimal control problems with PDEs as constraints, in both the stationary and instationary settings. The associated code can solve both linear and non-linear problems, and examples for
Externí odkaz:
http://arxiv.org/abs/2408.17312
In this paper, we consider effective discretization strategies and iterative solvers for nonlinear PDE-constrained optimization models for pattern evolution within biological processes. Upon a Sequential Quadratic Programming linearization of the opt
Externí odkaz:
http://arxiv.org/abs/2408.14926
Autor:
de Albuquerque, Daniela, Pearson, John
Beyond estimating parameters of interest from data, one of the key goals of statistical inference is to properly quantify uncertainty in these estimates. In Bayesian inference, this uncertainty is provided by the posterior distribution, the computati
Externí odkaz:
http://arxiv.org/abs/2407.08843
We present a new approach for nonlocal image denoising, based around the application of an unnormalized extended Gaussian ANOVA kernel within a bilevel optimization algorithm. A critical bottleneck when solving such problems for finely-resolved image
Externí odkaz:
http://arxiv.org/abs/2407.06834
We derive a new parallel-in-time approach for solving large-scale optimization problems constrained by time-dependent partial differential equations arising from fluid dynamics. The solver involves the use of a block circulant approximation of the or
Externí odkaz:
http://arxiv.org/abs/2405.18964
In this paper, we describe and analyze the spectral properties of a symmetric positive definite inexact block preconditioner for a class of symmetric, double saddle-point linear systems. We develop a spectral analysis of the preconditioned matrix, sh
Externí odkaz:
http://arxiv.org/abs/2405.14605