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

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

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: 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 ...

SIAM Journal on Numerical Analysis, Vol. 29, No. 6 (Dec., 1992), pp. 1694-1715 (22 pages) This paper deals with the relation between differential/algebraic equations (DAEs) and certain stiff ODEs and ...

Spicing up Algebra I class isn’t easy, and getting students to check their answers can be especially challenging. However, introducing short Python programs to check answers is easy and fun, and your ...

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 ...