Zobrazeno 1 - 10
of 580
pro vyhledávání: '"41a58"'
We generate Gaussian radial function based higher order compact RBF-FD formulas for some differential operators. Analytical expressions for weights associated to first and second derivative formulas (up to order 10) and 2D-Laplacian formulas (up to o
Externí odkaz:
http://arxiv.org/abs/2412.10036
Autor:
Katrichek, Igor
This paper introduces a scalar numerical differentiator, represented as a system of nonlinear differential equations of any high order. We derive the explicit solution for this system and demonstrate that, with a suitable choice of differentiator ord
Externí odkaz:
http://arxiv.org/abs/2411.00794
In this paper, we present a new concept of interpolative contraction mappings in $C^{\ast}$-algebra valued complete metric space and we prove the existence of fixed points and common fixed points for Kannan-Riech type contractions.
Externí odkaz:
http://arxiv.org/abs/2410.03990
Autor:
Bielert, Franziska
We prove a rough It\^o formula for path-dependent functionals of $\alpha$-H\"older continuous paths for $\alpha\in(0,1)$. Our approach combines the sewing lemma and a Taylor approximation in terms of path-dependent derivatives.
Externí odkaz:
http://arxiv.org/abs/2409.02532
Autor:
Bruda, Glenn
Working from definitions and an elementarily obtained integral formula for the Euler-Mascheroni constant, we give an alternative proof of the classical Puiseux representation of the exponential integral.
Comment: 6 pages
Comment: 6 pages
Externí odkaz:
http://arxiv.org/abs/2409.02949
Weak R-duals, a generalization of R-duals, were recently introduced; for which duality relations were established. In this paper, we consider the problem of characterizing a given frame sequence to be a weak R-dual of a given frame. Further, we apply
Externí odkaz:
http://arxiv.org/abs/2408.14952
Autor:
Maurischat, Andreas
In this manuscript, we consider non-abelian Anderson $A$-modules $E$ (of generic characteristic). The main results are on the structure of their motives, and on comparison isomorphisms between their cohomological realizations. In the center of these
Externí odkaz:
http://arxiv.org/abs/2408.07328
We consider the Poisson equation with homogeneous Dirichlet conditions in a family of domains in $R^{n}$ indexed by a small parameter $\epsilon$. The domains depend on $\epsilon$ only within a ball of radius proportional to $\epsilon$ and, as $\epsil
Externí odkaz:
http://arxiv.org/abs/2408.02387
Hopf algebra structures for the backward error analysis of ergodic stochastic differential equations
Autor:
Bronasco, Eugen, Laurent, Adrien
While backward error analysis does not generalise straightforwardly to the strong and weak approximation of stochastic differential equations, it extends for the sampling of ergodic dynamics. The calculation of the modified equation relies on tedious
Externí odkaz:
http://arxiv.org/abs/2407.07451
Autor:
Gray, W. Steven, Pham, Natalie
A class of parameter dependent Chen--Fliess series is introduced where the series coefficients are taken from a noncommutative ring of multivariable differential operators. Such series are shown in the linear case to represent formal solutions to Cau
Externí odkaz:
http://arxiv.org/abs/2406.19077