Results 51 to 60 of about 23,143 (202)
Communications on Pure and Applied Mathematics, EarlyView.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
On trigonometric and paratrigonometric Hermite interpolation
Journal of Approximation Theory, 2004 Let \(H_n^T \) denote the class of all trigonometric polynomials of degree not greater than \(n\) and \(H_n^T (\alpha )\) the family of all trigonometric polynomials of the form \[ a_n \sin \,\left( {nt + \alpha } \right) + T_{n - 1} \left( t \right),\quad T_{n - 1} \in H_{n - 1}^T ,\quad 0 \leq \alpha < \pi ,\;n > 1.
Jinyuan Du, Huili Han, Guoxiang Jin
openaire +2 more sources
Stopping Power of Electron Liquid for Slow Quantum Projectiles
Contributions to Plasma Physics, EarlyView.ABSTRACT We revisit the problem of the deceleration of a charge moving in a medium. In the low‐velocity limit of the projectile, we construct the fully nonlinear (in the charge–target interaction) theory of the stopping power (SP), which goes beyond the classical Ehrenfest dynamics.
Vladimir U. Nazarov, E. K. U. Gross
wiley +1 more source
Модифіковані тригонометричні сплайни [PDF]
, 2009 Пропонуються модифіковані тригонометричні сплайни, що мають точніші результати інтерполювання в порівнянні з існуючими аналогічними методами. Вказано методи розрахунку невідомих коефіцієнтів для запропонованих сплайнів.
Дементьєв, В. Ю. +1 more
core +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Advances in Difference Equations, 2017 In this paper, we propose an efficient numerical scheme for the approximate solution of a time fractional diffusion-wave equation with reaction term based on cubic trigonometric basis functions. The time fractional derivative is approximated by the usual
Muhammad Yaseen +3 more
doaj +1 more source
Field‐Based Spatial Self‐Registration of Multicoil Hardware for B0 Field Control
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To develop and validate a magnetic field‐based method for self‐registration of multicoil (MC) shim hardware in MRI systems, enabling accurate B0 field control despite nonreproducible hardware placement between calibration and experimental sessions.
Isabelle Zinghini +4 more
wiley +1 more source
Cubic trigonometric spline functions of interpolation and applications
Journal of Numerical Analysis and Approximation Theory, 1999 Not available.
Ion Ichim, Grigore Albeanu
doaj +2 more sources
Minimum Sobolev norm interpolation of derivative data
, 2017 We study the problem of reconstructing a function on a manifold satisfying some mild conditions, given data on the values and some derivatives of the function at arbitrary points on the manifold. While the problem of finding a polynomial of two variables
Chandrasekaran, S. +2 more
core +1 more source
Bivariate postprocessing of wind vectors
Quarterly Journal of the Royal Meteorological Society, EarlyView.We introduce three novel bivariate postprocessing approaches and analyze their performance for joint postprocessing of bivariate wind‐vector components in Germany. Bivariate vine‐copula‐based models, a bivariate gradient‐boosted version of ensemble model output statistics (EMOS), and a bivariate distributional regression network (DRN) are compared with
Ferdinand Buchner +3 more
wiley +1 more source