Existence and Uniqueness of an Inverse Memory Kernel for an Integro-Differential Parabolic Equation with Free Boundary
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamical and Control Systems"
DOI: 10.1007/s10883-017-9372-9
Abstract: We consider an inverse problem for an integro-differential parabolic equation with free boundary. This inverse problem aims to identify the memory kernel function from a global measurement data. Based on a fixed point argument, we… read more here.
Keywords: parabolic equation; integro differential; differential parabolic; memory kernel ... See more keywords
Enabling Equation-Free Modeling via Diffusion Maps
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-021-10127-w
Abstract: Equation-free modeling aims at extracting low-dimensional macroscopic dynamics from complex highdimensional systems that govern the evolution of microscopic states. This algorithm relies on lifting and restriction operators that map macroscopic states to microscopic states and… read more here.
Keywords: free modeling; diffusion maps; equation free;