Results 41 to 50 of about 1,874,872 (323)

Matrix interpretation of multiple orthogonality [PDF]

, 2010
In this work we give an interpretation of a (s(d + 1) + 1)-term recurrence relation in terms of type II multiple orthogonal polynomials.We rewrite this recurrence relation in matrix form and we obtain a three-term recurrence relation for vector ...
Branquinho, Amílcar, Foulquié Moreno, Ana Pilar, Cotrím, Luís   +2 more
core   +1 more source

Fractional-Order Orthogonal Jacobi Function-Based Operational Approach for Multi-Term Diffusion-Wave Equations of Fractional Order

Fractal and Fractional
Solving fractional differential equations using spectral collocation methods based on classical orthogonal polynomials often leads to a reduced convergence rate due to the limited regularity of the solutions.
Amal Alshabanat, Mohamed A. Saker, Hanaa Moussa, Samer S. Ezz-Eldien   +3 more
doaj   +1 more source

Generalized Auto-Convolution Volterra Integral Equations: Numerical Treatments

Journal of Mathematics, 2022
In this paper, we use the operational Tau method based on orthogonal polynomials to achieve a numerical solution of generalized autoconvolution Volterra integral equations.
Mahdi Namazi Nezamabadi, Saeed Pishbin
doaj   +1 more source

Properties of Matrix Orthogonal Polynomials via their Riemann-Hilbert Characterization

Symmetry, Integrability and Geometry: Methods and Applications, 2011
We give a Riemann-Hilbert approach to the theory of matrix orthogonal polynomials. We will focus on the algebraic aspects of the problem, obtaining difference and differential relations satisfied by the corresponding orthogonal polynomials.
F. Alberto Grünbaum, Manuel D. de la Iglesia, Andrei Martínez-Finkelshtein   +2 more
doaj   +1 more source

Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems

Symmetry, Integrability and Geometry: Methods and Applications, 2012
Discrete spectral transformations of skew orthogonal polynomials are presented. From these spectral transformations, it is shown that the corresponding discrete integrable systems are derived both in 1+1 dimension and in 2+1 dimension. Especially in the (
Hiroshi Miki, Hiroaki Goda, Satoshi Tsujimoto   +2 more
doaj   +1 more source

The Analytic Theory of Matrix Orthogonal Polynomials

, 2007
We survey the analytic theory of matrix orthogonal polynomials.
Damanik, David, Pushnitski, Alexander, Simon, Barry   +2 more
openaire   +4 more sources

Painleve Equations and Orthogonal Polynomials [PDF]

, 2016
In this thesis we classify all of the special function solutions to Painleve equations and all their associated equations produced using their Hamiltonian structures.
Smith, James
core  

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

New Operational Matrix via Genocchi Polynomials for Solving Fredholm-Volterra Fractional Integro-Differential Equations

Advances in Mathematical Physics, 2017
It is known that Genocchi polynomials have some advantages over classical orthogonal polynomials in approximating function, such as lesser terms and smaller coefficients of individual terms.
Jian Rong Loh, Chang Phang, Abdulnasir Isah   +2 more
doaj   +1 more source

Elastomeric 3D‐Printed Microenvironments Enable Nanonewton Force Measurements in Healthy and Diseased Human Pluripotent Stem Cell‐Derived Neuroepithelial Cells

Advanced Materials, EarlyView.
We present elastomeric three‐dimensional (3D) microstructures fabricated via two‐photon polymerization (2PP) and post‐processed through wet etching, for quantifying nanonewton (nN)‐scale forces applied by healthy and diseased neural cells. The mechanically characterized free‐standing beam architectures enable measurement of traction forces of ...
Pieter F. J. van Altena, Lucia Castillo Ransanz, Ruben H. Guis, Giulia Bergamaschi, Nanne J. Paauw, Urs Staufer, Vivi M. Heine, Angelo Accardo   +7 more
wiley   +1 more source