Results 121 to 130 of about 14,496,760 (259)

Comparison of Algebraic Multigrid Preconditioners for Solving Helmholtz Equations

Journal of Applied Mathematics, 2012
An algebraic multigrid (AMG) with aggregation technique to coarsen is applied to construct a better preconditioner for solving Helmholtz equations in this paper.
Dandan Chen, Ting-Zhu Huang, Liang Li
doaj   +1 more source

Preconditioning Techniques in Krylov Subspace Methods

This study discusses preconditioning approaches to address large, sparse linear systems as well as Krylov subspace methods. Among others, computational fluid dynamics, structural analysis, and electromagnetic simulations use Krylov methods like the ...
Najm, Zina Jabbar
core   +1 more source

High-order Krylov-Newton and

, 2007
Keywords: secant methods, Krylov subspace methods, nonlinear equations, Newton's method, Broydcn's method AMS(MOS) subject classification: 3504, 35Q35, 35M10 ...
Fast Krylov-Secant Methods, Hector Klie, Marcelo Raml, Marcelo Rame, Hictor Kle, F. Wheeler, Mary Wheeler, Mary   +7 more
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Preconditioned Dirichlet-Dirichlet Methods for Optimal Control of Elliptic PDE

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
The discretization of optimal control of elliptic partial differential equations problems yields optimality conditions in the form of large sparse linear systems with block structure. Correspondingly, when the solution method is a Dirichlet-Dirichlet non-
Loghin Daniel
doaj   +1 more source

Overview of Krylov subspace methods with applications to control problems [PDF]

, 1989
An overview of projection methods based on Krylov subspaces are given with emphasis on their application to solving matrix equations that arise in control problems.
Saad, Youcef
core  

KryPy v2.1.1: Krylov subspace methods package for Python

, 2014
<p>KryPy is a Python (versions 2 and 3) module for Krylov subspace methods for the solution of linear algebraic systems. This includes enhanced versions of CG, MINRES and GMRES as well as methods for the efficient solution of sequences of linear ...
Gaul, André, Gaul, André (5251747)
core   +1 more source

Adaptive Solution of Infinite Linear Systems by Krylov Subspace Methods

, 2007
In this paper we consider the problem of approximating the solution of infinite linear systems, finitely expressed by a sparse coefficient matrix. We analyze various algorithms based on Krylov subspace methods embedded in an adaptive enlargement scheme ...
LOTTI, Grazia, P. FAVATI, LOTTI G, F. Romani, MENCHI, ORNELLA, ROMANI, FRANCESCO, O. Menchi, Romani F, Menchi O, Favati P   +9 more
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Improved New Block Preconditioner for Solving 3 × 3 Block Saddle Point Problems

Axioms
In order to overcome the computational challenges associated with block preconditioners for Krylov subspace methods, particularly those arising from Schur complement systems, this paper proposes an improved new block (INB) preconditioner for solving 3 ...
Xin-Hui Shao, Xin-Yang Liu
doaj   +1 more source

Efficient Preconditioning Based on Scaled Tridiagonal and Toeplitz-like Splitting Iteration Method for Conservative Space Fractional Diffusion Equations

Mathematics
The purpose of this work is to study the efficient numerical solvers for time-dependent conservative space fractional diffusion equations. Specifically, for the discretized Toeplitz-like linear system, we aim to study efficient preconditioning based on a
Xiaofeng Guo
doaj   +1 more source

Practical issues of model order reduction with Krylov-subspace methods [PDF]

, 2004
Model Order Reduction plays an increasingly important role in electronic simulations. The actual implementation of the methods however, leads to many practical problems.
Wil Schilders, Schilders, W.H.A., Pieter Heres, Heres, P.J.   +3 more
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