Physics informed neural networks have been recently proposed and offer a new promising
method to solve differential equations. They have been adapted to many more scenarios …

The nonlinear dynamic behaviors of dual-rotor-bearing systems with looseness and rub–
impact faults are discussed in this paper. The dual-rotor-bearing system with looseness and …

We propose a new hyper-reduction method for a recently introduced nonlinear model
reduction framework based on dynamically transformed basis functions and especially well …

The blending of hydrogen generated using clean energy into natural gas pipeline networks
is proposed in order to utilize existing energy systems for their planned lifetimes while …

This paper is on the construction of structure-preserving, online-efficient reduced models for
the barotropic Euler equations with a friction term on networks. The nonlinear flow problem …

The order-diminution techniques are adopted in various fields of engineering and
applications to reduce the order of systems from higher-order to desired lower-order. In this …

We formulate a control system model for the distributed flow of mixtures of highly
heterogeneous gases through large-scale pipeline networks with time-varying injections of …

Version 5.99 of the empirical Gramian framework–emgr–completes a development cycle
which focused on parametric model order reduction of gas network models while preserving …

We are interested in a convergent numerical discretization scheme for nonlinear differential
algebraic equations (DAEs) coupled with elliptic constraints. The dynamics of flow networks …

We derive a linear system of ordinary differential equations (ODEs) to approximate the
dynamics of natural gas in pipeline networks. Although a closed-form expression of the …