[图书][B] Some novel approaches in modelling and image reconstruction for multi-frequency electrical impedance tomography of the human brain

L Horesh - 2006 - search.proquest.com
Abstract Electrical Impedance Tomography (EIT) is a recently developed imaging technique.
Small insensible currents are injected into the body using electrodes. Measured voltages …

Multilevel preconditioners constructed from inverse-based ILUs

M Bollhöfer, Y Saad - SIAM Journal on Scientific Computing, 2006 - SIAM
This paper analyzes dropping strategies in a multilevel incomplete LU decomposition
context and presents a few strategies for obtaining related ILUs with enhanced robustness …

A comparison of preconditioned Krylov subspace methods for large‐scale nonsymmetric linear systems

A Ghai, C Lu, X Jiao - Numerical Linear Algebra with …, 2019 - Wiley Online Library
Preconditioned Krylov subspace (KSP) methods are widely used for solving large‐scale
sparse linear systems arising from numerical solutions of partial differential equations …

Incomplete LU preconditioning with the multilevel fast multipole algorithm for electromagnetic scattering

T Malas, L Gürel - SIAM Journal on Scientific Computing, 2007 - SIAM
Iterative solution of large-scale scattering problems in computational electromagnetics with
the multilevel fast multipole algorithm (MLFMA) requires strong preconditioners, especially …

A fully coupled scheme for a Boltzmann-Poisson equation solver based on a spherical harmonics expansion

SM Hong, C Jungemann - Journal of computational electronics, 2009 - Springer
The numerical properties of a deterministic Boltzmann equation solver based on a spherical
harmonics expansion of the distribution function are analyzed and improved. A fully coupled …

[PDF][PDF] Hopf bifurcation and time periodic orbits with pde2path–algorithms and applications

H Uecker - Commun. Comput. Phys., 2019 - staff.uni-oldenburg.de
We describe the algorithms used in the Matlab continuation and bifurcation package
pde2path for Hopf bifurcation and continuation of branches of periodic orbits in systems of …

A supernodal approach to incomplete LU factorization with partial pivoting

XS Li, M Shao - ACM Transactions on Mathematical Software (TOMS), 2011 - dl.acm.org
We present a new supernode-based incomplete LU factorization method to construct a
preconditioner for solving sparse linear systems with iterative methods. The new algorithm is …

High-performance implementation of Chebyshev filter diagonalization for interior eigenvalue computations

A Pieper, M Kreutzer, A Alvermann, M Galgon… - Journal of …, 2016 - Elsevier
We study Chebyshev filter diagonalization as a tool for the computation of many interior
eigenvalues of very large sparse symmetric matrices. In this technique the subspace …

Multilevel ILU with reorderings for diagonal dominance

Y Saad - SIAM Journal on Scientific Computing, 2005 - SIAM
This paper presents a preconditioning method based on combining two-sided permutations
with a multilevel approach. The nonsymmetric permutation exploits a greedy strategy to put …

An efficient elimination strategy for solving PageRank problems

ZL Shen, TZ Huang, B Carpentieri, XM Gu… - Applied Mathematics and …, 2017 - Elsevier
In Web link structures, similar link distributions often occur, especially for pages from same
hosts. For PageRank problems, similar in-link distributions of pages result in similar row …