4 papers
High-Order Lie Derivatives from Taylor Series in the ADTAYL Package
Nedialko S. Nedialkov, John D. Pryce
High-order Lie derivatives are essential in nonlinear systems analysis. If done symbolically, their evaluation becomes increasingly expensive as the order increases. We present a c…
Sub-ODEs Simplify Taylor Series Algorithms for Ordinary Differential Equations
Nedialko S. Nedialkov, John D. Pryce
A Taylor method for solving an ordinary differential equation initial-value problem , , computes the Taylor series (TS) of the solution at the curren…
An Energy-based, always Index and Structurally Amenable Electrical Circuit Model
Nedialko Nedialkov, John D. Pryce, Lena Scholz
Combining three themes: port-Hamiltonian energy-based modelling, structural analysis as used in the circuit world, and structural analysis of general differential-algebraic equatio…
A compact, structural analysis amenable, port-Hamiltonian circuit analysis
John D. Pryce
This article presents a simple port-Hamiltonian formulation of the equations for an RLC electric circuit as a differential-algebraic equation system, and a proof that structural an…