Results 91 to 100 of about 2,991 (173)

Using Chebyshev’s polynomials for solving Fredholm integral equations of the second kind

Mathematical Modelling and Analysis
The main problem with the Newton method is the computation of the inverse of the first derivative of the operator involved at each iteration step. Thus, when we want to apply the Newton method directly to solve an integral equation, the existence of the
José Antonio Ezquerro, Miguel Ángel Hernández-Verón   +1 more
doaj   +1 more source

Chebyshev Smoothing With Adaptive Block‐FSAI Preconditioners for the Multilevel Solution of Higher‐Order Problems With the Partition of Unity Method

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT In this paper, we assess the performance of adaptive and nested factorized sparse approximate inverses as smoothers in multilevel V‐cycles, when smoothing is performed following the Chebyshev iteration of the fourth kind, for the efficient solution of linear systems arising from a conforming discretization of higher‐order partial differential ...
Pablo Jiménez Recio, Marc Alexander Schweitzer   +1 more
wiley   +1 more source

An Augmented Lagrangian Preconditioner for Navier–Stokes Equations With Runge–Kutta in Time

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT We consider an implicit Runge–Kutta method for the numerical time integration of the nonstationary incompressible Navier–Stokes equations. This yields a sequence of nonlinear problems to be solved for the stages of the Runge–Kutta method. The resulting nonlinear system of differential equations is discretized using a finite element method.
Santolo Leveque, Yunhui He, Maxim Olshanskii   +2 more
wiley   +1 more source

Gram Decay and Intrinsic Dimensions of Krylov Subspaces

Numerical Linear Algebra with Applications, Volume 33, Issue 3, June 2026.
ABSTRACT Krylov subspace methods solve large sparse linear systems Ax=b$$ Ax=b $$ by building a sequence of polynomial approximations to A−1b$$ {A}^{-1}b $$ from successive matrix‐vector products. In finite precision, the number of numerically independent directions that can be extracted from this sequence is bounded by the intrinsic information ...
Stephen J. Thomas
wiley   +1 more source

Quantum Activation Functions in Neural Networks: A Systematic Review of Approaches, Performance Impacts, and Practical Applications

Advanced Quantum Technologies, Volume 9, Issue 6, June 2026.
This review explores how quantum activation functions can contribute to the evolution of neural networks toward quantum computing. The results show that classical‐quantum hybrid architectures are being tested in some practical applications, while fully quantum models are still in the development phase. These functions represent an important step toward
Petterson Pina dos Santos, Mônica Silva de Oliveira, Adonney Allan de Oliveira Veras   +2 more
wiley   +1 more source

3D inversion of magnetic gradient data based on equivalent source weighting method

AIP Advances
3D magnetic inversion is an important method for detecting underwater or underground magnetic objects, which can obtain the physical parameters and geometric features of the target.
Shuanglong Huang, Jing Qiu, Mingyu Li, Hexuan Sun, Shunyu Zhang   +4 more
doaj   +1 more source

A fast algorithm for solving the Cauchy problem for ODE using the Sobolev orthogonal polynomials generated by Chebyshev polynomials of the first kind

Daghestan Electronic Mathematical Reports, 2018
Murad Sultanakhmedov, Tadgidin Shakh-Emirov   +1 more
openaire   +1 more source

Aerodynamic Optimization of Relay Nozzle Using a Chebyshev KAN Surrogate Model Integration and an Improved Multi-Objective Red-Billed Blue Magpie Optimizer. [PDF]

Biomimetics (Basel)
Shen M, Zhang Z, Qin G, Zhou D, Du L, Yu L.   +5 more
europepmc   +1 more source

Computer-assisted construction of <i>SU</i>(2)-invariant negative Einstein metrics. [PDF]

Ann Glob Anal Geom (Dordr)
Wang QS.
europepmc   +1 more source

Robust Position-Only Null Steering in Linear Antenna Arrays via a Nature-Inspired Optimizer for Wireless Communication. [PDF]

Biomimetics (Basel)
Yildiz A, Akdagli A, Karaomerlioglu F, Yüksek G, Izci D, Tümen V, Ekinci S, Salman M, Al-Rabayah M.   +8 more
europepmc   +1 more source