Parameter and q asymptotics of Lq‐norms of hypergeometric orthogonal polynomials
The weighted Lq‐norms of orthogonal polynomials are determined when q and the polynomial's parameter tend to infinity. They are given in this work by the leading term of the q and parameter asymptotics of the corresponding quantities of the associated probability density. These results are not only interesting per se, but also because they control many
Nahual Sobrino, Jesus S. Dehesa
wiley +1 more source
All Electrochemical Synthesis of Performic Acid Starting from CO2, O2 and H2O
Driven by anthropogenic climate change, innovative approaches to defossilise the chemical industry are required. With this study, the first all‐electrochemical feasibility study for the complete electrosynthesis of the strong oxidiser and effective disinfectant performic acid is presented. Its synthesis was achieved solely from CO2, O2 and H2O in a two‐
Ida Dinges+6 more
wiley +1 more source
Spectra of combinatorial Laplace operators on simplicial complexes [PDF]
We first develop a general framework for Laplace operators defined in terms of the combinatorial structure of a simplicial complex. This includes, among others, the graph Laplacian, the combinatorial Laplacian on simplicial complexes, the weighted Laplacian, and the normalized graph Laplacian.
arxiv
Jump resonance in the driven Chua's circuit to design frequency selective devices
The paper defines the conditions for the emergence of jump resonance in the driven Chua's circuit. Jump resonance features are characterized by means of numerical simulations and through an experimental circuit. Guidelines to design the Chua's circuit parameters to have the desired jump features are introduced, providing a strategy to realize highly ...
Arturo Buscarino+2 more
wiley +1 more source
On the convergence of Laplace-Beltrami operators associated to quasiregular mappings [PDF]
Ricardo de Arcangelis, Patrizia Donato
openalex +1 more source
fOGA: Orthogonal Greedy Algorithm for Fractional Laplace Equations [PDF]
In this paper, we explore the finite difference approximation of the fractional Laplace operator in conjunction with a neural network method for solving it. We discretized the fractional Laplace operator using the Riemann-Liouville formula relevant to fractional equations.
arxiv
The Mosco convergence of Dirichlet forms approximating the Laplace operators with the delta potential on thin domains [PDF]
We consider the convergent problems of Dirichlet forms associated with the Laplace operators on thin domains. This problem appears in the field of quantum waveguides. We study that a sequence of Dirichlet forms approximating the Laplace operators with the delta potential on thin domains Mosco converges to the form associated with the Laplace operator ...
arxiv
AGORA: Adaptive Generation of Orthogonal Rational Approximations for Frequency‐Response Data
This paper introduces the adaptive generation of orthogonal rational approximations (AGORA) method for rational function approximation of measured or simulated microwave network parameters. AGORA allows estimating the model order for a given error tolerance and does not require any initial estimates or adjustment of hyperparameters. ABSTRACT This paper
Andria Lemus, Arif Ege Engin
wiley +1 more source
Unbounded well-bounded operators, strongly continuous semigroups and the Laplace transform [PDF]
Ralph deLaubenfels
openalex +1 more source
Integral Property of Laplace Operator [PDF]
Relations have been derived which establish connection between a scalar or a vector functions and the integral of Laplace operator of these functions (the integral property of Laplace operator). The integral property of Laplace operator was employed to obtain relations expressing the electric field in terms of the charge gradient.
arxiv