Results 81 to 90 of about 79,087 (306)
, 1999 We look for spectral type differential equations satisfied by the generalized Jacobi polynomials which are orthogonal on the interval [-1,1] with respect to a weight function consisting of the classical Jacobi weight function together with point masses ...
Koekoek, J., Koekoek, R.
core +2 more sources
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT A class of one‐dimensional impact and dynamic contact problems taking into account non‐smooth velocities is studied. The new space‐time finite element approximation of dynamic variational inequalities is suggested. The non‐smooth solution for the impact of an obstacle by an elastic bar and its energy conservation under persistency conditions ...
Victor A. Kovtunenko +2 more
wiley +1 more source
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose To evaluate quantitative susceptibility mapping (QSM) beyond the brain through realistic simulations and to explore preliminary evidence that may be indicative of hypoxia in skull base chordomas (SBC). Methods Each step of the QSM pipeline was optimized within an in silico framework consisting of (i) phase unwrapping, (ii) background ...
P. Fenech +8 more
wiley +1 more source
Velocity Spectrum Imaging Using Velocity Encoding Preparation Pulses
Magnetic Resonance in Medicine, EarlyView.ABSTRACT Purpose The goal of this article is to introduce a technique to measure the velocity distribution of water inside each voxel of an MR image. The method is based on the use of motion sensitizing gradients with changing first moment to encode velocity. As such, it is completely non‐invasive and requires no contrast injections.
Luis Hernandez‐Garcia +2 more
wiley +1 more source
On some asymptotic properties of classical Hermite polynomials modified by a rational factor
Revista Integración, 2018 In this paper we study some asymptotic properties of the sequence of monic polynomials orthogonal with respect to the measure dµ = x 2+a x2+b e −x 2 dx, where a, b > 0 and a 6= b.
Luis Alejandro Molano Molano
doaj +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This paper analyzes the dynamic behavior of a two‐degree‐of‐freedom system subjected to electromagnetic interaction modelled through a skew‐symmetric coupling matrix. The system comprises two mechanically independent oscillators coupled by velocity‐dependent electromagnetic forces.
Fernando Cortés +4 more
wiley +1 more source
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT This study presents a novel neural network architecture called spectral integrated neural networks (SINNs), which combines physics‐informed neural networks (PINNs) with time‐spectral integration techniques to efficiently solve two‐ and three‐dimensional dynamic piezoelectric problems.
Zijie Song +3 more
wiley +1 more source
Polymer Engineering &Science, EarlyView.Study on transient parison formation at various strokes during extrusion of Newtonian and viscoelastic fluids. In the presence of an offset between the mandrel and the bushing, Newtonian fluids exhibit a reduction in extrudate diameter, whereas viscoelastic fluids display diameter swelling only at flow rates exceeding a critical threshold.
Kalonji K. Kabanemi +2 more
wiley +1 more source
On ( p , q ) $(p,q)$ -classical orthogonal polynomials and their characterization theorems
Advances in Difference Equations, 2017 In this paper, we introduce a general ( p , q ) $(p, q)$ -Sturm-Liouville difference equation whose solutions are ( p , q ) $(p, q)$ -analogues of classical orthogonal polynomials leading to Jacobi, Laguerre, and Hermite polynomials as ( p , q ) → ( 1 ...
M Masjed-Jamei +3 more
doaj +1 more source
On moments of classical orthogonal polynomials
Journal of Mathematical Analysis and Applications, 2015 The main concern of this paper is to highlight explicit representations of the moments of continuous, discrete and quantum orthogonal polynomials belonging to the Askey-Wilson scheme, via the inversion coefficients and some connection coefficients between some polynomial sets. Also, generating functions of some of these moments are established.
Njionou Sadjang, P. +2 more
openaire +2 more sources