Zobrazeno 1 - 10
of 173
pro vyhledávání: '"34a45"'
In many epidemiological and ecological contexts, there is a trade-off between infections and interaction. This arises because the links between individuals capable of spreading infections are also often associated with beneficial activities. Here, we
Externí odkaz:
http://arxiv.org/abs/2410.05327
Autor:
Lundgren, Lukas, Helanow, Christian, Wiskandt, Jonathan, Koszalka, Inga Monika, Ahlkrona, Josefin
We introduce a continuous Galerkin finite element discretization of the non-hydrostatic Boussinesq approximation of the Navier-Stokes equations, suitable for various applications such as coastal ocean dynamics and ice-ocean interactions, among others
Externí odkaz:
http://arxiv.org/abs/2409.00972
In this paper, we introduce semi-autonomous neural ordinary differential equations (SA-NODEs), a variation of the vanilla NODEs, employing fewer parameters. We investigate the universal approximation properties of SA-NODEs for dynamical systems from
Externí odkaz:
http://arxiv.org/abs/2407.17092
Autor:
Kuznetsova, Maria
We consider a system of differential equations and obtain its solutions with exponential asymptotics and analyticity with respect to the spectral parameter. Solutions of such type have importance in studying spectral properties of differential operat
Externí odkaz:
http://arxiv.org/abs/2405.05009
Nonlinear conservation laws such as the system of ideal magnetohydrodynamics (MHD) equations may develop singularities over time. In these situations, viscous regularization is a common approach to regain regularity of the solution. In this paper, we
Externí odkaz:
http://arxiv.org/abs/2402.03929
Autor:
Hoang, Manh Tuan
In this work, we consider a class of dynamical systems described by ordinary differential equations under the assumption that the global asymptotic stability (GAS) of equilibrium points is established based on the Lyapunov stability theory with the h
Externí odkaz:
http://arxiv.org/abs/2312.01471
This paper is concerned with the approximation of solutions to a class of second order non linear abstract differential equations. The finite-dimensional approximate solutions of the given system are built with the aid of the projection operator. We
Externí odkaz:
http://arxiv.org/abs/2309.02445
Autor:
Lundgren, Lukas, Nazarov, Murtazo
This paper introduces a formulation of the variable density incompressible Navier-Stokes equations by modifying the nonlinear terms in a consistent way. For Galerkin discretizations, the formulation leads to full discrete conservation of mass, square
Externí odkaz:
http://arxiv.org/abs/2305.04813
The phenomenon of distinct behaviors exhibited by neural networks under varying scales of initialization remains an enigma in deep learning research. In this paper, based on the earlier work by Luo et al.~\cite{luo2021phase}, we present a phase diagr
Externí odkaz:
http://arxiv.org/abs/2303.06561
A closed form solution for the one-dimensional Schr\"{o}dinger equation with a finite number of $\delta$-interactions \[ \mathbf{L}_{q,\mathfrak{I}_{N}}y:=-y^{\prime\prime}+\left( q(x)+\sum _{k=1}^{N}\alpha_{k}\delta(x-x_{k})\right) y=\lambda y,\quad
Externí odkaz:
http://arxiv.org/abs/2302.13218