Several fundamental results on the existence and behavior of solutions to semilinear functional differential equations are developed in a Banach space setting. The ideas are applied to ...

Abstract: Many problems in science and engineering can be mathematically modeled using partial differential equations (PDEs), which are essential for fields like computational fluid dynamics (CFD), ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

Abstract: Remote microgrids with satellite internet provide a viable solution for integrating renewable energies. However, their stable operation is vulnerable to the communication services quality.

Repository for the universal differential equations paper: arXiv:2001.04385 [cs.LG]. This repository is simply a demonstration. For more up-to-date versions of these codes, see the SciMLSensitivity.jl ...

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Jennie bites off the end of a cigar in a rough manner, yet a few seconds later when she is smoking it we see the end of the cigar has been cleanly cut. When Jackman and Christianson are talking about ...