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 ...

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 ...

Abstract: The Kalman filter and its variants have been developed for state estimation in semi-explicit, index-1 DAE systems in current literature. In this work, we develop a method for state ...

In this paper we investigate the behavior of numerical ODE methods for the solution of systems of differential equations coupled with algebraic constraints. Systems of this form arise frequently in ...

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 ...