Results 51 to 60 of about 3,479 (214)
A Weighted Simpler GMRES Algorithm [PDF]
, 2008 GMRES方法是求解大规模非对称稀疏线性方程组最常用的方法。在实际应用中，给出了许多对标准GMRES进行改进的算法，比如SimplerGMRES和WeightedGMRES。SimplerGMRES通过改进GMRES中基的生成过程，把求解最小二乘问题转化成求解上三角矩阵的线性方程组，避免了求解最小二乘问题，有效减小了算法的计算量，同时使算法保持较好的收敛性。WeightedGMRES则采用加权技术来加快GMRES方法的收敛速度。WeightedGMRES虽然有较快的收敛速度 ...
杨圣炜
core
, 2022 The GMRES algorithm of Saad and Schultz (1986) is an iterative method for approximately solving linear systems $A{\bf x}={\bf b}$, with initial guess ${\bf x}_0$ and residual ${\bf r}_0 = {\bf b} - A{\bf x}_0$.
core
Mathematical Modelling and Analysis, 1999 The implementation of a modern preconditioned Newton‐Krylov solvers to the polymer melt flow in injection molding is the main focus of this paper. The viscoelastic and non‐isothermal characteristics of the transient polymer flow is simulated numerically ...
U. Türk, A. Ecder
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An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque +2 more
wiley +1 more source
Preconditioning GMRES for discontinuous Galerkin approximations
Computer Assisted Methods in Engineering and Science, 2023 The paper presents an implementation and the performance of several preconditioners for the discontinuous Galerkin approximation of diffusion dominated and pure diffusion problems.
Krzysztof Banaś, Mary F. Wheeler
doaj
Um Esquema GMRES Precondicionado para Simulação de Reservatórios
Trends in Computational and Applied Mathematics, 2002 Descrevemos um método GMRES precondicionado para a resolução de sistemas lineares que aparecem em Simulação de Reservatórios de Petróleo. Três esquemas de precondicionamento são propostos.
L.M. CARVALHO +3 more
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Gram Decay and Intrinsic Dimensions of Krylov Subspaces
Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
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Worst-case and ideal GMRES for a Jordan block [PDF]
, 2021 We investigate the convergence of GMRES for an $n$ by $n$ Jordan block. For each $k$ that divides $n$ we derive the exact form of the $k$th ideal GMRES polynomial.
Liesen, Jörg, Tichý, Petr
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Frontiers in Built Environment, 2018 In this paper a parallel iterative solver based on the Generalized Minimum Residual Method (GMRES) with complex-valued coefficients is explored, with applications to the Boundary Element Method (BEM).
Jorge Molina-Moya +2 more
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SoftwareX, 2022 This paper presents an overview of the functionalities and applications of Exasim, an open-source code for generating high-order discontinuous Galerkin codes to numerically solve parametrized partial differential equations (PDEs).
Jordi Vila-Pérez +3 more
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