3 papers
math.PR2025
Strong order-one convergence of the Euler method for random ordinary differential equations driven by semi-martingale noises
Peter E. Kloeden, Ricardo M. S. Rosa
It is well known that the Euler method for a random ordinary differential equation driven by a stochastic process with …
math.PR2025
Fokker-Planck equation for stochastic heat equations
Qingyan Meng, Jinqiao Duan, Jinlong Wei +1
This work is devoted to the study of the Fokker--Planck equation for a stochastic heat equation with an additive -Wiener noise and non-homogeneous boundary conditions. We explic…
math.DS2024
Sigmoidal approximations of a nonautonomous neural network with infinite delay and Heaviside function
Peter E. Kloeden, V. M. Villarragut
In this paper, we approximate a nonautonomous neural network with infinite delay and a Heaviside signal function by neural networks with sigmoidal signal functions. We show that th…