Results 61 to 70 of about 481 (184)
Convolutional neural network-driven preconditioners for conjugate gradients
Machine Learning: Science and TechnologyWe present a data-driven approach for preconditioning large sparse symmetric positive definite linear systems using convolutional neural networks tailored for sparse tensor inputs.
Johannes Sappl +3 more
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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
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
Algebraic Multigrid Preconditioning for Iterative Eigensolvers [PDF]
Archives of Transport, 2008 AbstractThe objective is a comparative study of iterative solvers for eigenproblems arising from elliptic and self–adjoint partial differential operators. Typically only a few of the smallest eigenvalues of these problems are to be computed.
openaire +1 more source
Multi-GPU Acceleration for Finite Element Analysis in Structural Mechanics
Applied SciencesThis work evaluates the computing performance of finite element analysis in structural mechanics using modern multi-GPU systems. We can avoid the usual memory limitations when using one GPU device for many-core computing using multiple GPUs for ...
David Herrero-Pérez +1 more
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Advanced Quantum Technologies, Volume 9, Issue 2, February 2026.Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams +4 more
wiley +1 more source
IEEE Access, 2019 A detached eddy simulation algorithm is developed based on the non-oscillatory forward-in-time (NFT) multidimensional positive definite advection transport algorithm (MPDATA) scheme for stratified turbulent flows with low or moderate Reynolds numbers on ...
Zhao Zhang, Tao Zhang
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Effects of Triangular Nozzle Geometry on the Deformation and Breakup of Liquid Jets in Crossflow
Chemical Engineering &Technology, Volume 49, Issue 1, January 2026.This study numerically investigates the deformation and breakup of liquid jets in air crossflow from triangular and circular nozzles using Newtonian and shear‐thinning fluids. The analysis highlights how non‐circular geometry and rheology jointly govern jet instability through variations in viscosity, pressure, and energy transfer. The findings advance
Yasuhiro Saito +2 more
wiley +1 more source
International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.ABSTRACT Solid oxide fuel cells (SOFCs) are a promising technology for producing clean energy in the future. To enhance the efficiency and the lifetime of SOFCs and SOFC stacks, novel materials and innovative material compositions for the constituent layers—namely the cathode, anode, and electrolyte—must be developed.
Eric Langner +4 more
wiley +1 more source
LANDSLIDE-TYPE TSUNAMI MODELLING BASED ON THE NAVIER - STOKES EQUATIONS [PDF]
Science of Tsunami Hazards, 2016 The paper presents a unified computing technology for all stages of landslide-type tsunami. The computing technology is based on the numerical solution of the Navier – Stokes equations for multiphase flows. The method of numerical solution of the Navier –
A.S. Kozelkov +5 more
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