Results 91 to 100 of about 603,533 (300)
On classical solutions and canonical transformations for Hamilton–Jacobi–Bellman equations
Bulletin of the London Mathematical Society, EarlyView.Abstract In this note, we show how canonical transformations reveal hidden convexity properties for deterministic optimal control problems, which in turn result in global existence of Cloc1,1$C^{1,1}_{loc}$ solutions to first‐order Hamilton–Jacobi–Bellman equations.
Mohit Bansil, Alpár R. Mészáros
wiley +1 more source
ON CUBATURE RULES ASSOCIATED TO WEYL GROUP ORBIT FUNCTIONS
Acta Polytechnica, 2016 The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems.
Lenka Háková +2 more
doaj +1 more source
A generalization of Mehta-Wang determinant and Askey-Wilson polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Motivated by the Gaussian symplectic ensemble, Mehta and Wang evaluated the $n×n$ determinant $\det ((a+j-i)Γ (b+j+i))$ in 2000. When $a=0$, Ciucu and Krattenthaler computed the associated Pfaffian $\mathrm{Pf}((j-i)Γ (b+j+i))$ with an application to the
Victor J. W. Guo +3 more
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Rational extensions of the trigonometric Darboux-Pöschl-Teller potential based on para-Jacobi polynomials [PDF]
, 2014 The possibility for the Jacobi equation to admit, in some cases, general solutions that are polynomials has been recently highlighted by Calogero and Yi, who termed them para-Jacobi polynomials. Such polynomials are used here to build seed functions of a
B. Bagchi, Y. Grandati, C. Quesne
semanticscholar +1 more source
International Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 4, April 2025.We propose a constitutive model for active skeletal muscle designed for complex musculoskeletal systems based on a thorough review and comparison of existing approaches. We demonstrate its applicability in various numerical examples, including a large‐scale simulation of a novel continuum shoulder model.
Laura Engelhardt +3 more
wiley +1 more source
An upper bound on Jacobi polynomials
Journal of Approximation Theory, 2007 Let ${\bf P}_k^{( , )} (x)$ be an orthonormal Jacobi polynomial of degree $k.$ We will establish the following inequality \begin{equation*} \max_{x \in [ _{-1}, _1]}\sqrt{(x- _{-1})( _1-x)} (1-x)^ (1+x)^ ({\bf P}_{k}^{( , )} (x))^2 < \frac{3 \sqrt{5}}{5}, \end{equation*} where $ _{-1}
openaire +3 more sources
Monolithic Newton‐Multigrid Finite Element Methods for the Simulation of Thixoviscoplastic Flows
International Journal for Numerical Methods in Fluids, Volume 97, Issue 4, Page 565-604, April 2025.ABSTRACT In this paper, we shall be concerned with the development, application, and numerical analysis of the monolithic Newton‐Multigrid finite element method (FEM) to simulate thixoviscoplastic (TVP) flows. We demonstrate the importance of robustness and efficiency of Newton‐Multigrid FEM solver for obtaining accurate solutions.
Naheed Begum +2 more
wiley +1 more source
Spectral analysis for the exceptional Xm-Jacobi equation
Electronic Journal of Differential Equations, 2015 We provide the mathematical foundation for the $X_m$-Jacobi spectral theory. Namely, we present a self-adjoint operator associated to the differential expression with the exceptional $X_m$-Jacobi orthogonal polynomials as eigenfunctions.
Constanze Liaw +2 more
doaj
Shifted Jacobi polynomials and Delannoy numbers [PDF]
arXiv, 2009 We express a weighted generalization of the Delannoy numbers in terms of shifted Jacobi polynomials. A specialization of our formulas extends a relation between the central Delannoy numbers and Legendre polynomials, observed over 50 years ago, to all Delannoy numbers and certain Jacobi polynomials.
arxiv
, 2005 The analytic solutions of the one-dimensional Schroedinger equation for the trigonometric Rosen-Morse potential reported in the literature rely upon the Jacobi polynomials with complex indices and complex arguments.
+14 more
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