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8 papers · 1 filter
Discrete analog of the Jacobi set for vector fields
A. N. Adilkhanov, A. V. Pavlov, I. A. Taimanov
The Jacobi set is a useful descriptor of mutual behavior of functions defined on a common domain. We introduce the piecewise linear Jacobi set for general vector fields on simplici…
Partially Explicit Time Discretization for Nonlinear Time Fractional Diffusion Equations
Wenyuan Li, Anatoly Alikhanov, Yalchin Efendiev +1
Nonlinear time fractional partial differential equations are widely used in modeling and simulations. In many applications, there are high contrast changes in media properties. For…
HEI: hybrid explicit-implicit learning for multiscale problems
Yalchin Efendiev, Wing Tat Leung, Guang Lin +1
Splitting is a method to handle application problems by splitting physics, scales, domain, and so on. Many splitting algorithms have been designed for efficient temporal discretiza…
Contrast-independent partially explicit time discretizations for nonlinear multiscale problems
Eric T. Chung, Yalchin Efendiev, Wing Tat Leung +1
This work continues a line of works on developing partially explicit methods for multiscale problems. In our previous works, we have considered linear multiscale problems, where th…
Spatiotemporal dynamics of free and bound excitons in CVD-grown MoS monolayer
M. A. Akmaev, M. M. Glazov, M. V. Kochiev +3
We study photoluminescence (PL) spectra and exciton dynamics of MoS monolayer (ML) grown by the chemical vapor deposition technique. In addition to the usual direct A-exciton l…
Abstract McKean-Vlasov and HJB equations, their fractional versions and related forward-backward systems on Riemannian manifolds
Vassili N. Kolokoltsov, Marianna S. Troeva
We introduce a class of abstract nonlinear fractional pseudo-differential equations in Banach spaces that includes both the Mc-Kean-Vlasov-type equations describing nonlinear Marko…