Results 71 to 80 of about 1,874,872 (323)
Operational Tau method for nonlinear multi-order FDEs [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2014 This paper presents an operational formulation of the Tau method based upon orthogonal polynomials by using a reduced set of matrix operations for the numerical solution of nonlinear multi-order fractional differential equations(FDEs).
payam mokhtary
doaj +1 more source
Upward Extension of the Jacobi Matrix for Orthogonal Polynomials
Journal of Approximation Theory, 1996 Orthogonal polynomials on the real line always satisfy a three-term recurrence relation. The recurrence coefficients determine a tridiagonal semi-infinite matrix (Jacobi matrix) which uniquely characterizes the orthogonal polynomials. We investigate new orthogonal polynomials by adding to the Jacobi matrix $r$ new rows and columns, so that the original
Ronveaux, André, Van Assche, Walter
openaire +3 more sources
Recurrence coefficients for discrete orthonormal polynomials and the Painlevé equations [PDF]
, 2013 We investigate semi-classical generalizations of the Charlier and Meixner polynomials, which are discrete orthogonal polynomials that satisfy three-term recurrence relations.
Clarkson, Peter
core +1 more source
Inverse Design of Pre‐Strain via a Predictive Electromechanical Model for Enhanced Strain Sensing
Advanced Science, EarlyView.An analytical electromechanical model rooted in microcrack evolution mechanics is globally calibrated from only eight pre‐strain datasets, enabling prediction of the complete sensing response at untested pre‐strain values within the calibrated design space (R2 > 0.99).
Jia‐Chen Shang +10 more
wiley +1 more source
Determining radii of meromorphy via orthogonal polynomials on the unit circle [PDF]
, 2003 19 pages, no figures.-- MSC2000 codes: 30E10, 42C05, 41A20, 30D30.MR#: MR2016676 (2004k:30087)Zbl#: Zbl 1051.30033Using a convergence theorem for Fourier–Padé approximants constructed from orthogonal polynomials on the unit circle, we prove an analogue ...
López Lagomasino, Guillermo +2 more
core +1 more source
Fzd7 Restrains Pink1‐Dependent Mitophagy in Suture Stem Cells to Maintain Cranial Suture Patency
Advanced Science, EarlyView.How suture stem cells fail to preserve cranial suture patency remains incompletely understood. Integrated single‐cell and high‐resolution spatial transcriptomic analyses identify reduced Fzd7 expression in Prrx1+ suture stem cells as an early feature of craniosynostosis.
Xinyan Chen +10 more
wiley +1 more source
The Relationship Between Semiclassical Laguerre Polynomials and the Fourth Painlevé Equation [PDF]
, 2013 We discuss the relationship between the recurrence coefficients of orthogonal polynomials with respect to a semiclassical Laguerre weight and classical solutions of the fourth Painlevé equation. We show that the coefficients in these recurrence relations
Clarkson, Peter +3 more
core +1 more source
On polar Legendre polynomials [PDF]
, 2010 10 pages, no figures.-- MSC2000 codes: Primary 42C05; Secondary 33C25.-- ArXiv pre-print available at: http://arxiv.org/abs/0709.4537Accepted in Rocky Mountain Journal of Mathematics.We introduce a new class of polynomials {Pn}, that we call polar ...
Urbina, Wilfredo +6 more
core +2 more sources
Advanced Electronic Materials, EarlyView.Physical reservoir computing (PRC) based on spin wave interference has demonstrated high computational performance, yet room for improvement remains. In this study, we fabricated this concept PRC with eight detectors and evaluated the impact of the number of detectors using a chaotic time series prediction task.
Sota Hikasa +6 more
wiley +1 more source
Algebraic Aspects of Matrix Orthogonality for Vector Polynomials
Journal of Approximation Theory, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sorokin, Vladimir N. +1 more
openaire +1 more source