Results 1 to 10 of about 678 (135)

Efficient preconditioning strategies for accelerating GMRES in block-structured nonlinear systems for image deblurring. [PDF]

open access: yesPLoS ONE
We propose an efficient preconditioning strategy to accelerate the convergence of Krylov subspace methods, specifically for solving complex nonlinear systems with a block five-by-five structure, commonly found in cell-centered finite difference ...
Rizwan Khalid   +4 more
doaj   +2 more sources

Electrocardiographic Imaging: A Comparison of Iterative Solvers [PDF]

open access: yesFrontiers in Physiology, 2021
Cardiac disease is a leading cause of morbidity and mortality in developed countries. Currently, non-invasive techniques that can identify patients at risk and provide accurate diagnosis and ablation guidance therapy are under development.
Marta Borràs, Judit Chamorro-Servent
doaj   +2 more sources

A Plug-and-Play Volume Minimizing Micromixer. [PDF]

open access: yesAdv Sci (Weinh)
ABSTRACT Microscale fluid mixing has numerous applications where rapid and efficient mixing is required, including drug discovery, bio‐analysis and point‐of‐care diagnostics. Conventional soft lithography processes, however, make the integration of robust and reliable mixing difficult to implement in practice, especially across different flow rates ...
Kolesnik K   +3 more
europepmc   +2 more sources

An efficient iterative method for solving large linear systems [PDF]

open access: yesJournal of Hyperstructures, 2020
This paper presents a new powerful iterative method for solving large and sparse linear systems. Using the idea of theJaya method to the restarted generalized minimum residual (GMRES) method, we propose the Jaya-GMRES method.The JayaGMRES is an efficient
Ali Jamalian, Hossein Aminikhah
doaj   +1 more source

Numerical Simulation of Multiphase Multicomponent Flow in Porous Media: Efficiency Analysis of Newton-Based Method

open access: yesFluids, 2021
Newton’s method has been widely used in simulation multiphase, multicomponent flow in porous media. In addition, to solve systems of linear equations in such problems, the generalized minimal residual method (GMRES) is often used. This paper analyzed the
Timur Imankulov   +4 more
doaj   +1 more source

Adaptive GMRES(m) for the Electromagnetic Scattering Problem

open access: yesTrends in Computational and Applied Mathematics, 2020
In this article, an adaptive version of the restarted GMRES (GMRES(m)) is introduced for the resolution of the finite difference approximation of the Helmholtz equation. It has been observed that the choice of the restart parameter m strongly affects the
Gustavo Espínola   +2 more
doaj   +1 more source

Fractional Temperature-Dependent BEM for Laser Ultrasonic Thermoelastic Propagation Problems of Smart Nanomaterials

open access: yesFractal and Fractional, 2023
The major goal of this work is to present a novel fractional temperature-dependent boundary element model (BEM) for solving thermoelastic wave propagation problems in smart nanomaterials.
Mohamed Abdelsabour Fahmy
doaj   +1 more source

Modified DTS Iteration Methods for Spatial Fractional Diffusion Equations

open access: yesMathematics, 2023
For the discretized linear systems of the spatial fractional diffusion equations, we construct a class of a modified DTS iteration method and give its asymptotic convergence conditions.
Xin-Hui Shao, Chong-Bo Kang
doaj   +1 more source

A Simpler GMRES Method for Oscillatory Integrals with Irregular Oscillations

open access: yesAdvances in Mathematical Physics, 2015
A simpler GMRES method for computing oscillatory integral is presented. Theoretical analysis shows that this method is mathematically equivalent to the GMRES method proposed by Olver (2009).
Qinghua Wu, Meiying Xiang
doaj   +1 more source

Optimizing Distributed GMRES Algorithm with Mixed Precision [PDF]

open access: yesJisuanji kexue
The generalized minimum residual(GMRES) method is an iterative method for solving sparse linear systems.It is broadly used in many areas like scientific and engineering computing.The exponential data growth makes the scale of problems solved by the GMRES
GUO Shuaizhe, GAO Jianhua, JI Weixing
doaj   +1 more source

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