Results 81 to 90 of about 16,256 (203)

New numerical method based on Generalized Bessel function to solve nonlinear Abel fractional differential equation of the first kind

Nonlinear Engineering, 2019
Fractional calculus and fractional differential equations (FDE) have many applications in different branches of sciences. But, often a real nonlinear FDE has not the exact or analytical solution and must be solved numerically.
Parand K., Nikarya M.
doaj   +1 more source

A Fast Solution for the Generalized Radial Basis Functions Interpolant

IEEE Access, 2020
In this paper, we propose a fast solution method of the generalized radial basis functions interpolant for global interpolation. The method can be used to efficiently interpolate large numbers of geometry constraints for implicit surface reconstruction ...
Deyun Zhong, Liguan Wang, Lin Bi
doaj   +1 more source

Hyper‐Reduced Model Based on the Proper Orthogonal Decomposition and the LU Factorization Applied to the Neutron Diffusion Eigenvalue Problem

International Journal for Numerical Methods in Engineering, Volume 127, Issue 3, 15 February 2026.
ABSTRACT An efficient method for solving large eigenvalue problems efficiently can be developed using hyper‐reduced order models, such as those arising from the LU Proper Orthogonal Decomposition (LUPOD). The LUPOD employs dominant orthogonal modes along with a flexible number of collocation points to establish a reduced scalar product, thereby ...
A. Vidal‐Ferràndiz, A. Carreño, E. Javaloyas, D. Ginestar, G. Verdú   +4 more
wiley   +1 more source

Globally convergent techniques in nonlinear Newton-Krylov [PDF]

Some convergence theory is presented for nonlinear Krylov subspace methods. The basic idea of these methods is to use variants of Newton's iteration in conjunction with a Krylov subspace method for solving the Jacobian linear systems.
Brown, Peter N., Saad, Youcef
core   +1 more source

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

An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form

Journal of Applied Mathematics, 2012
We study the preconditioned iterative method for the unsteady Navier-Stokes equations. The rotation form of the Oseen system is considered. We apply an efficient preconditioner which is derived from the Hermitian/Skew-Hermitian preconditioner to the ...
Jia Liu
doaj   +1 more source

Krylov Subspace Methods for Solving Large Lyapunov Equations

SIAM Journal on Numerical Analysis, 1994
Several methods are discussed for calculating low-rank approximate solutions to large-scale Lyapunov equations of the form \(AP+PA'+BB'=0\). Two versions of the Krylov subspace method are exploited. Exact expressions for the approximation errors are derived in both cases.
JAIMOUKHA, IM, KASENALLY, EM
openaire   +4 more sources

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

Shortcuts to Adiabaticity in Krylov Space

Physical Review X
Shortcuts to adiabaticity provide fast protocols for quantum state preparation in which the use of auxiliary counterdiabatic controls circumvents the requirement of slow driving in adiabatic strategies.
Kazutaka Takahashi, Adolfo del Campo
doaj   +1 more source

Fast collocation method for a two-dimensional variable-coefficient linear nonlocal diffusion model

Advances in Difference Equations, 2020
In this paper, a fast collocation method is developed for a two-dimensional variable-coefficient linear nonlocal diffusion model. By carefully dealing with the variable coefficient in the integral operator and then analyzing the structure of the ...
Xuhao Zhang, Aijie Cheng
doaj   +1 more source