Zobrazeno 1 - 10
of 29 189
pro vyhledávání: '"L'Hermite, P."'
Autor:
Hu, Hao, Yu, Haijun
Hermite polynomials and functions are widely used for scientific and engineering problems. Although it is known that using the scaled Hermite function instead of the standard one can significantly enhance approximation performance, understanding of t
Externí odkaz:
http://arxiv.org/abs/2412.08044
Derivation of recursive formulas for integrals of Hermite polynomial products and their applications
In this work, we derive three recursive formulas for the integrals of products of Hermite polynomials. The derivation is notably straightforward, relying solely on the well-established properties of Hermite polynomials and the technique of integratio
Externí odkaz:
http://arxiv.org/abs/2411.15541
In this paper, we develop a simple, efficient, and fifth-order finite difference interpolation-based Hermite WENO (HWENO-I) scheme for one- and two-dimensional hyperbolic conservation laws. We directly interpolate the solution and first-order derivat
Externí odkaz:
http://arxiv.org/abs/2411.11229
Surface plasmon polaritons have received much attention over the last decades in fields such as photonics or nanotechnology due to their inherent high sensitivity to metal surface variations (e.g., presence of adsorbates or changes in the roughness).
Externí odkaz:
http://arxiv.org/abs/2412.08706
Autor:
Ali, Ali Hasan, Páles, Zsolt
Motivated by classical results of approximation theory, we define an Hermite-type interpolation in terms of $n$-dimensional subspaces of the space of $n$ times continuously differentiable functions. In the main result of this paper, we establish an e
Externí odkaz:
http://arxiv.org/abs/2412.07925
Kinetic simulations of collisionless plasmas are computationally challenging due to phase space mixing and filamentation, resulting in fine-scale velocity structures. This study compares three methods developed to reduce artifacts related to limited
Externí odkaz:
http://arxiv.org/abs/2412.07073
Autor:
Wang, Min, Zhang, Zhimin
The Fredholm-Hammerstein integral equations (FHIEs) with weakly singular kernels exhibit multi-point singularity at the endpoints or boundaries. The dense discretized matrices result in high computational complexity when employing numerical methods.
Externí odkaz:
http://arxiv.org/abs/2410.22759
Autor:
Dittmann, Alexander J.
Numerical integration methods are central to the study of self-gravitating systems, particularly those comprised of many bodies or otherwise beyond the reach of analytical methods. Predictor-corrector schemes, both multi-step methods and those based
Externí odkaz:
http://arxiv.org/abs/2410.17311
This paper addresses the challenge of function approximation using Hermite interpolation on equally spaced nodes. In this setting, standard polynomial interpolation suffers from the Runge phenomenon. To mitigate this issue, we propose an extension of
Externí odkaz:
http://arxiv.org/abs/2409.03357
2D Gaussian Splatting has recently emerged as a significant method in 3D reconstruction, enabling novel view synthesis and geometry reconstruction simultaneously. While the well-known Gaussian kernel is broadly used, its lack of anisotropy and deform
Externí odkaz:
http://arxiv.org/abs/2408.16982