Zobrazeno 1 - 10
of 320
pro vyhledávání: '"33f05"'
Autor:
Mortensen, Mikael
This paper describes a fast algorithm for transforming Legendre coefficients into Chebyshev coefficients, and vice versa. The algorithm is based on the fast multipole method and is similar to the approach described by Alpert and Rokhlin [SIAM J. Sci.
Externí odkaz:
http://arxiv.org/abs/2411.00033
In computational practice, we often encounter situations where only measurements at equally spaced points are available. Using standard polynomial interpolation in such cases can lead to highly inaccurate results due to numerical ill-conditioning of
Externí odkaz:
http://arxiv.org/abs/2407.16825
The real and complex zeros of the parabolic cylinder function $U(a,z)$ are studied. Asymptotic expansions for the zeros are derived, involving the zeros of Airy functions, and these are valid for $a$ positive or negative and large in absolute value,
Externí odkaz:
http://arxiv.org/abs/2407.13936
Autor:
Bernatska, Julia
Numerical tools for computation of $\wp$-functions, also known as Kleinian, or multiply periodic, are proposed. In this connection, computation of periods of the both first and second kinds is reconsidered. An analytical approach to constructing the
Externí odkaz:
http://arxiv.org/abs/2407.05632
This paper deals with a new epidemiological model of SIRS with stochastic perturbations. The primary objective is to establish the existence of a unique non-negative nonlocal solution. Using the basic reproduction number $\mathscr{R}_0$ derived from
Externí odkaz:
http://arxiv.org/abs/2404.09233
High-dimensional real-world systems can often be well characterized by a small number of simultaneous low-complexity interactions. The analysis of variance (ANOVA) decomposition and the anchored decomposition are typical techniques to find sparse add
Externí odkaz:
http://arxiv.org/abs/2403.15563
In this work we study a fractional SEIR biological model of a reaction-diffusion, using the non-singular kernel Caputo-Fabrizio fractional derivative in the Caputo sense and employing the Laplacian operator. In our PDE model, the government seeks imm
Externí odkaz:
http://arxiv.org/abs/2403.00364
Autor:
Schmid, Harald
This paper presents some new results on the eigenvalues of the spheroidal wave equation. We study the angular and Coulomb spheroidal wave equation as a special case of a more general linear Hamiltonian system depending on three parameters. We prove t
Externí odkaz:
http://arxiv.org/abs/2402.07133
We prove explicit uniform two-sided bounds for the phase functions of Bessel functions and of their derivatives. As a consequence, we obtain new enclosures for the zeros of Bessel functions and their derivatives in terms of inverse values of some ele
Externí odkaz:
http://arxiv.org/abs/2402.06956
We establish some functional identities of theta functions, an elementary proof of classical fourth-order identities, Landen transformations, and q series from the eigenvectors of the discrete Fourier transform. Also, we derive connection between Rog
Externí odkaz:
http://arxiv.org/abs/2312.05844