Results 101 to 110 of about 5,765 (234)
Frequency‐dependent contraction rates for the Bayesian method to the inverse source problem
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract This paper addresses an inverse source problem for acoustic waves in a range of frequencies. Our study has two main goals. First, although the problem is severely ill‐posed with a logarithmic stability estimate, we demonstrate, through careful analysis of the forward map's singular values, that increasing the frequency range enhances stability,
Pu‐Zhao Kow, Jenn‐Nan Wang
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Results in Physics, 2017 The pseudo-spectral method with the Chebyshev and Legendre polynomials are used in order to compute the electric potential for a rodlike macromolecule located in salt free solution via the Poisson-Boltzmann equation (PBE). Afterwards, verification of the
Shaghayegh Nikzad +2 more
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, 2022 In this paper, the Legendre polynomials approximations are studied for the numerical solutions of differential-algebraic equations (DAEs). An algorithm of the method constructed using Legendre polynomials approximations is developed to solve DAE systems.
AKAR, Mutlu
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Numerical Methods for Partial Differential Equations, Volume 42, Issue 4, July 2026.ABSTRACT The main purpose of this paper is to design a fully discrete local discontinuous Galerkin (LDG) scheme for the generalized Benjamin–Ono equation. First, we prove the L2$$ {L}^2 $$‐stability for the proposed semi‐discrete LDG scheme and obtained a suboptimal order of convergence for power nonlinear flux.
Mukul Dwivedi, Tanmay Sarkar
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Linear complexity of Legendre‐polynomial quotients [PDF]
IET Information Security, 2018 Let p be an odd prime and be a positive integer. The authorscontinue to investigate the binary sequence over defined from polynomial quotients by
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Polymer Composites, Volume 47, Issue 12, Page 11300-11318, 20 June 2026.Schematic representation of hemp‐, glass‐, and carbon‐based laminated composite curved beams, including different stacking sequences and their vibration response. ABSTRACT In recent years, increasing environmental awareness has stimulated growing interest in natural fiber‐reinforced composites (NFRCs) due to their eco‐friendly composition ...
Aykut Çetin, Hasan Kurtaran
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Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
Mathematics, 2019 In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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Some sums of Legendre and Jacobi polynomials [PDF]
, 1998 summary:We prove identities involving sums of Legendre and Jacobi polynomials. The identities are related to Green’s functions for powers of the invariant Laplacian and to the Minakshisundaram-Pleijel zeta ...
Jaak Peetre +2 more
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Surface Tension Measurement of Ti‐6Al‐4V by Falling Droplet Method in Oxygen‐Free Atmosphere
Advanced Engineering Materials, Volume 28, Issue 12, 17 June 2026.In this article, the temperature‐dependent surface tension of free falling, oscillating Ti‐6Al‐4V droplets is investigated in both argon and monosilane doped, oxygen‐free atmosphere. Droplet temperature and oscillation are captured with one single high‐speed camera, and the surface tension is calculated with Rayleigh's formula.
Johannes May +9 more
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Notes on Legendre polynomials [PDF]
Bulletin of the American Mathematical Society, 1945 Not ...
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