Results 71 to 80 of about 14,331 (187)
Stability of linear GMRES convergence with respect to compact perturbations
, 2020 Suppose that a linear bounded operator $B$ on a Hilbert space exhibits at least linear GMRES convergence, i.e., there exists ...
Blechta, Jan
core
Twisted mass QCD for the pion electromagnetic form factor
, 2004 The pion form factor is computed using quenched twisted mass QCD and the GMRES-DR matrix inverter. The momentum averaging procedure of Frezzotti and Rossi is used to remove leading lattice spacing artifacts, and numerical results for the form factor show
Abdou M. Abdel-Rehim +4 more
core +1 more source
Stabilizing randomized GMRES through flexible GMRES
We explore the use of flexible GMRES as an outer wrapper for sketched GMRES. Building on a new bound for the residual of FGMRES in terms of the residual of the preconditioner, we derive a practical randomized solver that requires very little parameter tuning, while still being efficient and robust in the sense of generating non-increasing residual ...
Güttel, Stefan, Pearson, John W.
openaire +2 more sources
Optimal Control Applications and Methods, Volume 47, Issue 2, Page 498-510, March/April 2026.Optimal control combines state and adjoint equations, which yield the state (x$$ x $$) and adjoint (lambda) variables as a function of the control variables (u$$ u $$). This structure allows us to design strategies for iteratively updating the control variable, based on conjugate gradient (CG) or GMRES algorithms.
N. Armengou‐Riera +4 more
wiley +1 more source
Comparison of different iterative schemes for ISPH based on Rankine source solution
International Journal of Naval Architecture and Ocean Engineering, 2017 Smoothed Particle Hydrodynamics (SPH) method has a good adaptability for the simulation of free surface flow problems. There are two forms of SPH. One is weak compressible SPH and the other one is incompressible SPH (ISPH).
Xing Zheng, Qing-wei Ma, Wen-yang Duan
doaj +1 more source
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
doaj +1 more source
A Jacobian‐Free Newton‐Krylov Method for Cell‐Centred Finite Volume Solid Mechanics
International Journal for Numerical Methods in Engineering, Volume 127, Issue 3, 15 February 2026.ABSTRACT This study proposes a Jacobian‐free Newton‐Krylov approach for finite‐volume solid mechanics. Traditional Newton‐based approaches require explicit Jacobian matrix formation and storage, which can be computationally expensive and memory‐intensive.
Philip Cardiff +3 more
wiley +1 more source
A Randomized Q-OR Krylov Subspace Method for Solving Nonsymmetric Linear Systems
MathematicsThe most popular iterative methods for solving nonsymmetric linear systems are Krylov methods. Recently, an optimal Quasi-ORthogonal (Q-OR) method was introduced, which yields the same residual norms as the Generalized Minimum Residual (GMRES) method ...
Gérard Meurant
doaj +1 more source
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
doaj +1 more source
The Block Preconditioned SOR Method for Solving Indefinite Complex Linear Systems
Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.ABSTRACT In this paper we extend the theory of a block preconditioned SOR method studied by Hezari, Edalaptour, and Salkuyeh (2015) for the solution of indefinite complex linear systems. In particular, we consider the case where the key matrix S$$ S $$ has real eigenvalues which lie in (−∞,+∞)$$ \left(-\infty, +\infty \right) $$ and not only in [0,+∞)$$
M. A. Louka, N. M. Missirlis
wiley +1 more source