Zobrazeno 1 - 10
of 151
pro vyhledávání: '"Wathen, Andrew"'
The Golub-Welsch algorithm [ Math. Comp., 23: 221-230 (1969)] has long been assumed symmetric for estimating quadratic forms. Recent research indicates that asymmetric quadrature nodes may be more often and the existence of a practical symmetric quad
Externí odkaz:
http://arxiv.org/abs/2401.17757
Parallel-in-time methods have become increasingly popular in the simulation of time-dependent numerical PDEs, allowing for the efficient use of additional MPI processes when spatial parallelism saturates. Most methods treat the solution and paralleli
Externí odkaz:
http://arxiv.org/abs/2101.07003
Autor:
Bootland, Niall, Wathen, Andrew
Publikováno v:
Vermolen F.J., Vuik C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham
We consider the use of multipreconditioning to solve linear systems when more than one preconditioner is available but the optimal choice is not known. In particular, we consider a selective multipreconditioned GMRES algorithm where we incorporate a
Externí odkaz:
http://arxiv.org/abs/2005.07608
Autor:
Zhu, Shengxin, Wathen, Andrew J
Algorithms for Gaussian process, marginal likelihood methods or restricted maximum likelihood methods often require derivatives of log determinant terms. These log determinants are usually parametric with variance parameters of the underlying statist
Externí odkaz:
http://arxiv.org/abs/1911.00685
For both isothermal and thermal petroleum reservoir simulation, the Constrained Pressure Residual (CPR) method is the industry-standard preconditioner. This method is a two-stage process involving the solution of a restricted pressure system. While i
Externí odkaz:
http://arxiv.org/abs/1907.04229
In petroleum reservoir simulation, the industry standard preconditioner, the constrained pressure residual method (CPR), is a two-stage process which involves solving a restricted pressure system with Algebraic Multigrid (AMG). Initially designed for
Externí odkaz:
http://arxiv.org/abs/1902.00095
Autor:
Goddard, Anthony, Wathen, Andrew
McDonald, Pestana and Wathen (SIAM J. Sci. Comput. 40(2), pp. A2012-A1033, 2018) present a method for preconditioning of time-dependent PDEs via approximation by a nearby time-periodic problem, that is, they employ circulant-related matrices as preco
Externí odkaz:
http://arxiv.org/abs/1810.00615
Autor:
Zhu, Shengxin, Wathen, Andrew J
The restricted maximum likelihood method enhances popularity of maximum likelihood methods for variance component analysis on large scale unbalanced data. As the high throughput biological data sets and the emerged science on uncertainty quantificati
Externí odkaz:
http://arxiv.org/abs/1805.05188
Publikováno v:
SIAM J. Sci. Comput., 41(4), B843-B869 (2019)
We consider iterative methods for solving the linearised Navier-Stokes equations arising from two-phase flow problems and the efficient preconditioning of such systems when using mixed finite element methods. Our target application is simulation with
Externí odkaz:
http://arxiv.org/abs/1710.08779
Publikováno v:
SIAM J. Sci. Comput., 2015, 37(5), A2270-A2294
For a prescribed porosity, the coupled magma/mantle flow equations can be formulated as a two-field system of equations with velocity and pressure as unknowns. Previous work has shown that while optimal preconditioners for the two-field formulation c
Externí odkaz:
http://arxiv.org/abs/1411.5235