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

This is a Quantum Partial Differential Equations (QPDE) solver for solving a set of coupled PDEs. The Python packages NumPy, SciPy, and SymPy are required. The Python package PyPDE is required to run ...

Differential-algebraic equations (DAEs) serve as a critical framework in mathematical modelling by integrating both differential and algebraic components to represent systems with inherent constraints ...

Abstract: This paper presents a control barrier function (CBF) for systems described by differential-algebraic equations and applies the method to guarantee the safety of a two-link flexible-link ...

In this paper, we use partial differential equations to deal with constraint optimal control problems. We construct extremal flows by differential-algebraic equation to approximate the optimal ...