Ordinary Differential Equations. Introduction to methods for finding solutions to differential equations involving a single, independent variable. Topics include linear equations, exact solutions, ...

We propose and experimentally demonstrate an on-chip silicon photonic differential-equation solver that can be used to solve second-order constant-coefficient ordinary-differential-equations (ODEs).

O penAI's large language model (LLM) ChatGPT is surprisingly good at piloting spacecraft, according to a team that trained it ...

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

Code associated with the paper: Learning data-driven discretizations for partial differential equations. Yohai Bar-Sinai, Stephan Hoyer, Jason Hickey, Michael P. Brenner. Proceedings of the National ...

This paper considers stabilization of linear time-varying descriptor systems with continuous and bounded coefficient matrices. First, a necessary and sufficient condition for exponential stability is ...

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