Results 51 to 60 of about 29,809 (206)

Local Fourier Analysis of the Complex Shifted Laplacian preconditioner for Helmholtz problems

, 2013
In this paper we solve the Helmholtz equation with multigrid preconditioned Krylov subspace methods. The class of Shifted Laplacian preconditioners are known to significantly speed-up Krylov convergence.
Bayliss, Berenger, Bollhöfer, Brandt, Brandt, Briggs, Elman, Erlangga, Erlangga, Erlangga, Ernst, Gijzen, Haber, Osei-Kuffuor, Reps, Reps, Rodrigo, Saad, Simoncini, Stüben, Trottenberg, Van der Vorst, Wienands, Wienands   +23 more
core   +1 more source

The Evolving Landscape of Modern Regression: A Systematic Review and Mapping Study of Penalized, Algorithmic, and Interpretable Models

WIREs Data Mining and Knowledge Discovery, Volume 16, Issue 1, March 2026.
This systematic review maps 50 years of regression methodology, tracing its evolution from ridge stabilization and penalized estimation to Bayesian, ensemble, and explainable‐AI frameworks. The analysis reveals a unified progression toward interpretable, cross‐domain modeling that integrates statistical rigor, computational scalability, and epistemic ...
Michael Bendersky, Shimon Fridkin
wiley   +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, Dylan Armfield, Željko Tuković, Ivan Batistić   +3 more
wiley   +1 more source

Performance and Cost Evaluation of StarPU on AWS: Case Studies With Dense Linear Algebra Kernels and N‐Body Simulations

Concurrency and Computation: Practice and Experience, Volume 38, Issue 3, February 2026.
ABSTRACT Task‐based programming interfaces introduce a paradigm in which computations are decomposed into fine‐grained units of work known as “tasks”. StarPU is a runtime system originally developed to support task‐based parallelism on on‐premise heterogeneous architectures by abstracting low‐level hardware details and efficiently managing resource ...
Vanderlei Munhoz, Vinicius G. Pinto, João V. F. Lima, Márcio Castro, Daniel Cordeiro, Emilio Francesquini   +5 more
wiley   +1 more source

A p-multigrid method enhanced with an ILUT smoother and its comparison to h-multigrid methods within Isogeometric Analysis

, 2020
Over the years, Isogeometric Analysis has shown to be a successful alternative to the Finite Element Method (FEM). However, solving the resulting linear systems of equations efficiently remains a challenging task. In this paper, we consider a p-multigrid
Göddeke, D., Möller, M., Tielen, R., Vuik, C.   +3 more
core  

An Extended Krylov Subspace Method for Decoding Edge‐Based Compressed Images by Homogeneous Diffusion

Numerical Linear Algebra with Applications, Volume 33, Issue 1, February 2026.
ABSTRACT The heat equation is often used to inpaint dropped data in inpainting‐based lossy compression schemes. We propose an alternative way to numerically solve the heat equation by an extended Krylov subspace method. The method is very efficient with respect to the computation of the solution of the heat equation at large times.
Volker Grimm, Kevin Liang
wiley   +1 more source

Multigrid method for noncoercive parabolic variational inequality

Journal of Inequalities and Applications
In this article, our work is focused on the proof of the uniform convergence of the multigrid method for parabolic variational inequality with a noncoercive operator and its numerical solution.
Mostafa Bahi, Mohammed Beggas, Mohamed Haiour, Salah Boulaaras   +3 more
doaj   +1 more source

A new multilevel smoothing method for wavelet-based algebraic multigrid poisson problem solver

Journal of Microwaves, Optoelectronics and Electromagnetic Applications
In contrast to the standard algebraic multigrid, the Wavelet-based Algebraic Multigrid method relies more strongly on the smoothing method because the coarse spaces are chosen a priori. So, it is very important to develop new smoother methods, especially
Fabio Henrique Pereira, Kleber Rogério Moreira Prado, Silvio Ikuyo Nabeta   +2 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

Adaptive metric-based multigrid for a Poisson problem with discontinuous coefficients*, **

ESAIM: Proceedings and Surveys, 2014
In order to solve the linear partial differential equation Au = f, we combine two methods: Full-Multigrid method and Hessian-based mesh adaptation.
Brèthes Gautier
doaj   +1 more source