Results 71 to 80 of about 280,749 (199)
Sundman‐Like Transformations and the NRT Nonlinear Schrödinger Equation
Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14791-14810, 15 September 2026.ABSTRACT We present a new generalization of the well‐known power‐type Sundman transformation, involving not only powers of the function but also of its derivative, along with its inverse. Our aim is to explore the use of such transformations in the derivation of solutions of ordinary differential equations and in the study of their properties.
P. R. Gordoa +3 more
wiley +1 more source
Computation of the Fourier transform for a continuous integrable function via NFFT
Frontiers in Applied Mathematics and StatisticsWe investigate the approximation of continuous Fourier transforms by trigonometric sampling polynomials and their efficient evaluation by the non-equispaced fast Fourier transform (NFFT).
Daniel Potts, Manfred Tasche
doaj +1 more source
Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Circular Bernstein polynomial distributions [PDF]
This paper introduces a new non-parametric approach to the modeling of circular data, based on the use of Bernstein polynomial densities which generalizes the standard Bernstein polynomial model to account for the specific characteristics of circular ...
José Antonio Carnicero +2 more
core
ON AN EXTREMAL PROBLEM FOR POLYNOMIALS WITH FIXED MEAN VALUE
Ural Mathematical Journal, 2016 Let \(T_n^+\) be the set of nonnegative trigonometric polynomials \(\tau_n\) of degree \(n\) that are strictly positive at zero. For \(0\le\alpha\le2\pi/(n+2),\) we find the minimum of the mean value of polynomial \((\cos\alpha-\cos{x})\tau_n(x)/\tau_n(0)
Alexander G. Babenko
doaj +1 more source
Neural Network Imputation of the Pitch‐Angle‐Resolved Medium‐Energy Electron Flux Data in LEO
Space Weather, Volume 24, Issue 9, September 2026.Abstract Pitch‐angle‐resolved electron flux data are crucial for investigating variations in electron flux within the magnetosphere and the underlying mechanisms, such as radial diffusion and wave‐particle interactions. The Medium‐Energy Electron Detector (MEED) onboard the Fengyun‐3E (FY‐3E) satellite in Low Earth Orbit (LEO) provides 18‐directional ...
Jia‐Li Chen +4 more
wiley +1 more source
A note on some extremal problems for trigonometric polynomials [PDF]
n.a.
Dette, Holger, Melas, Viatcheslav B.
core
Refinements on higher order Weil–Oesterlé bounds via a Serre type argument
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract Weil's theorem gives the most standard bound on the maximum number of points Nq(g)$N_q(g)$ of a curve of genus g$g$ over a finite field Fq$\mathbb {F}_q$. This bound was improved by Ihara and Oesterlé for larger genus. A recent point of view allows one to recover these bounds by solving a sequence of semi‐definite programs, and the first two ...
Emmanuel Hallouin +2 more
wiley +1 more source
Optimization of trigonometric polynomials with crystallographic symmetry and applications
, 2022 The Weyl group of a crystallographic root system has a multiplicative action on the ring of multivariate trigonometric polynomials. We study the problem of minimizing an invariant trigonometric polynomial.
Moustrou, Philippe +3 more
core
MathematicsThis study presents a novel fifth-order unequal-sized trigonometric weighted essentially non-oscillatory (US-TWENO) scheme and a novel hybrid US-TWENO (HUS-TWENO) scheme with a novel troubled cell indicator in a finite difference framework to address ...
Yanmeng Wang, Liang Li, Jun Zhu
doaj +1 more source