Results 61 to 70 of about 40,909 (200)
Alternative Jacobi Polynomials and Orthogonal Exponentials [PDF]
Vladimir S. Chelyshkov
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A Physics‐Informed Learning Framework to Solve the Infinite‐Horizon Optimal Control Problem
ABSTRACT We propose a physics‐informed neural networks (PINNs) framework to solve the infinite‐horizon optimal control problem of nonlinear systems. In particular, since PINNs are generally able to solve a class of partial differential equations (PDEs), they can be employed to learn the value function of the infinite‐horizon optimal control problem via
Filippos Fotiadis +1 more
wiley +1 more source
Landau-Kolmogorov type inequalities in several variables for the Jacobi measure [PDF]
This paper is devoted to Landau-Kolmogorov type inequalities in several variables in L2 norm for Jacobi measures. These measures are chosen in such a way that the partial derivatives of the Jacobi orthogonal polynomials are also orthogonal.
Lamia Abbas, André Draux
doaj
Some Identities on Bernoulli and Hermite Polynomials Associated with Jacobi Polynomials
We investigate some identities on the Bernoulli and the Hermite polynomials arising from the orthogonality of Jacobi polynomials in the inner product space Pn.
Taekyun Kim +2 more
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The equilibrium positions of the multi-particle classical Calogero-Sutherland-Moser (CSM) systems with rational/trigonometric potentials associated with the classical root systems are described by the classical orthogonal polynomials; the Hermite ...
Odake, S., Sasaki, R.
core +2 more sources
Century‐scale effect of climate change on meteorite falls
Abstract Climate change is inducing a global atmospheric contraction above the tropopause (~10 km), leading to systematic decrease in neutral air density. The impact of climate change on small meteoroids has already been observed over the last two decades, with documented shifts in their ablation altitudes in the mesosphere (~50–85 km) and lower ...
Eloy Peña‐Asensio +3 more
wiley +1 more source
Analytical properties of the two-variables Jacobi matrix polynomials with applications
In the current study, we introduce the two-variable analogue of Jacobi matrix polynomials. Some properties of these polynomials such as generating matrix functions, a Rodrigue-type formula and recurrence relations are also derived.
Abdalla Mohamed, Hidan Muajebah
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Fast Algorithms for the Multi-dimensional Jacobi Polynomial Transform [PDF]
James Bremer, Qiyuan Pang, Haizhao Yang
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Abstract Real‐time traffic signal control (TSC) in road networks remains challenging due to variable traffic flows and high computational complexity. Existing model predictive control (MPC) approaches often face several limitations, including the reliance on commercial solvers, the inflexibility of single‐objective optimization, and the use of ...
Lyuzhou Luo +3 more
wiley +1 more source
New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional superpotential and on the ...
Christiane Quesne
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