Adjoint Pairs of Differential-Algebraic Equations and Their Lyapunov Exponents
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-015-9474-6
Abstract: This paper is devoted to the analysis of adjoint pairs of regular differential-algebraic equations with arbitrarily high tractability index. We consider both standard form DAEs and DAEs with properly involved derivative. We introduce the notion… read more here.
Keywords: daes; differential algebraic; adjoint pairs; equations lyapunov ... See more keywords
Parsimonious Physics-Informed Random Projection Neural Networks for Initial-Value Problems of ODEs and index-1 DAEs
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0135903
Abstract: We present a numerical method based on random projections with Gaussian kernels and physics-informed neural networks for the numerical solution of initial value problems (IVPs) of nonlinear stiff ordinary differential equations (ODEs) and index-1 differential… read more here.
Keywords: index; neural networks; physics; initial value ... See more keywords