Results 1 to 10 of about 1,796,366 (201)

Three Efficient All-Erasure Decoding Methods for Blaum–Roth Codes

open access: yesEntropy, 2022
Blaum–Roth Codes are binary maximum distance separable (MDS) array codes over the binary quotient ring F2[x]/(Mp(x)), where Mp(x)=1+x+⋯+xp−1, and p is a prime number.
Weijie Zhou, Hanxu Hou
doaj   +1 more source

The Limited Validity of the Conformable Euler Finite Difference Method and an Alternate Definition of the Conformable Fractional Derivative to Justify Modification of the Method

open access: yesMathematical and Computational Applications, 2021
A method recently advanced as the conformable Euler method (CEM) for the finite difference discretization of fractional initial value problem Dtαyt = ft;yt, yt0 = y0, a≤t≤b, and used to describe hyperchaos in a financial market model, is shown to be ...
Dominic P. Clemence-Mkhope   +1 more
doaj   +1 more source

A Novel n-Point Newton-Type Root-Finding Method of High Computational Efficiency

open access: yesMathematics, 2022
A novel Newton-type n-point iterative method with memory is proposed for solving nonlinear equations, which is constructed by the Hermite interpolation. The proposed iterative method with memory reaches the order (2n+2n−1−1+22n+1+22n−2+2n+1)/2 by using n
Xiaofeng Wang
doaj   +1 more source

An Efficient and Fast Sparse Grid Algorithm for High-Dimensional Numerical Integration

open access: yesMathematics, 2023
This paper is concerned with developing an efficient numerical algorithm for the fast implementation of the sparse grid method for computing the d-dimensional integral of a given function.
Huicong Zhong, Xiaobing Feng
doaj   +1 more source

Error Bounds of a Finite Difference/Spectral Method for the Generalized Time Fractional Cable Equation

open access: yesFractal and Fractional, 2022
We present a finite difference/spectral method for the two-dimensional generalized time fractional cable equation by combining the second-order backward difference method in time and the Galerkin spectral method in space with Legendre polynomials ...
Ying Ma, Lizhen Chen
doaj   +1 more source

Newton-like Normal S-iteration under Weak Conditions

open access: yesAxioms, 2023
In the present paper, we introduced a quadratically convergent Newton-like normal S-iteration method free from the second derivative for the solution of nonlinear equations permitting f′(x)=0 at some points in the neighborhood of the root.
Manoj K. Singh   +2 more
doaj   +1 more source

The Optimal Tolerance Solution of the Basic Interval Linear Equation and the Explanation of the Lodwick’s Anomaly

open access: yesApplied Sciences, 2022
Determining the tolerance solution (TS) of interval linear systems (ILSs) has been a task under consideration for many years. It seems, however, that this task has not been fully and unequivocally solved. This is evidenced by the multiplicity of proposed
Andrzej Piegat, Marcin Pluciński
doaj   +1 more source

The Stability of Functional Equations with a New Direct Method

open access: yesMathematics, 2022
We investigate the Hyers–Ulam stability of an equation involving a single variable of the form ∥f(x)−αf(kn(x))−βf(kn+1(x))∥⩽u(x) where f is an unknown operator from a nonempty set X into a Banach space Y, and it preserves the addition operation, besides ...
Dongwen Zhang   +3 more
doaj   +1 more source

A New Dual Image Based Reversible Data Hiding Method Using Most Significant Bits and Center Shifting Technique

open access: yesApplied Sciences, 2022
In this article, a new reversible data hiding method using most significant bits and center shifting technique in dual images is proposed. The proposed reversible data hiding method aims to securely hide high-capacity secret data.
Serdar Solak, Gökhan Tezcan
doaj   +1 more source

The Genuine Resonance of Full-Charm Tetraquarks

open access: yesUniverse, 2021
In this work, the genuine resonance states of full-charm tetraquark systems with quantum numbers JPC=0++,1+−,2++ are searched in a nonrelativistic chiral quark model with the help of the Gaussian Expansion Method.
Xiaoyun Chen
doaj   +1 more source

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