Results 31 to 40 of about 753 (179)
Stabilizing randomized GMRES through flexible GMRES
CoRRWe 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 ...
Stefan Güttel, John W. Pearson
openaire +3 more sources
ILU preconditioning based on the FAPINV algorithm [PDF]
Opuscula Mathematica, 2015 A technique for computing an ILU preconditioner based on the factored approximate inverse (FAPINV) algorithm is presented. We show that this algorithm is well-defined for H-matrices.
Davod Khojasteh Salkuyeh +2 more
doaj +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Stochastic Galerkin methods offer unexplored potential for the numerical simulation of parabolic problems with random variables, in particular if they are combined with variational discretizations of the space and time variables. Due to the high dimensionality, the solution of the arising algebraic systems do not become feasible without ...
Moataz Dawor +2 more
wiley +1 more source
Study of Liquid Flow Through a Channel With Adjacent Porous Domains of Different Material Properties
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT A common subject in engineering disciplines is the study of flow in and around fractures or channels with adjacent porous domains. In this work, a unified approach based on the Theory of Porous Media (TPM) with an embedded Phase‐Field (PF) fracture model is used to investigate a flow scenario, where a channel separates two porous domains with ...
Yann Rivas +5 more
wiley +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Safe and reliable communication infrastructure for advanced air mobility requires an intelligent and adaptable propagation channel. Electromagnetic meta‐materials, especially meta‐surfaces such as the reconfigurable intelligent surface enable such intelligence allowing programmability with multiple modes of electromagnetic wave manipulation ...
Roshan Antony Gomez, Michael Kaliske
wiley +1 more source
Tensor‐Train Compression of a Volume Integral Eddy Current Problem in Discontinuous Galerkin
International Journal for Numerical Methods in Engineering, Volume 127, Issue 21, 15 November 2026.ABSTRACT The paper presents a low‐rank tensor compression strategy based on the tensor‐train (TT) format for the integral operator arising in eddy current problems. Unlike classical matrix compression techniques such as the fast multipole method (FMM) or hierarchical matrices (ℋ$$ \mathscr{H} $$‐matrices), which typically compress only far‐field ...
Anthony Torosyan +5 more
wiley +1 more source
SICE Journal of Control, Measurement, and System Integration, 2019 We consider solving a large-scale Lyapunov equation for a multi-agent system. As is well known, the Lyapunov equation can be solved by equivalently rewriting it as a system of linear equations.
Asuka Ohashi, Kiyotsugu Takaba
doaj +1 more source
Advanced Optical Materials, Volume 14, Issue 40, 27 October 2026.Disordered plasmonic metasurfaces enable advanced control over light scattering through disorder engineering. A theoretical model based on multiple scattering theory is developed to predict the coherent reflection and transmission of light from disordered metasurfaces with arbitrary pair correlations.
Jialin Hu, Kevin Vynck
wiley +1 more source
Computable Convergence Bounds for GMRES [PDF]
SIAM Journal on Matrix Analysis and Applications, 2000 The purpose of this paper is to derive new computable convergence bounds for GMRES. The new bounds depend on the initial guess and are thus conceptually different from standard "worst-case" bounds. Most importantly, approximations to the new bounds can be computed from information generated during the run of a certain GMRES implementation.
openaire +3 more sources
On the regularizing properties of the GMRES method [PDF]
Numerische Mathematik, 2002 The generalized minimal residual (GMRES) method equipped with a stopping criterion based on the discrepancy principle is used to solve nonsymmetric nonsingular ill-posed problems with a right-hand side contaminated with errors. When the inverse operator \(A^{-1}\) of the linear system \(Ax=b\) is not bounded and the exact right-hand side \(b\) is not ...
Daniela Calvetti +2 more
openaire +2 more sources