3 citations · 9 across the 10 of their papers we have counts for
10 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…
How AD Can Help Solve Differential-Algebraic Equations
John D. Pryce, Nedialko S. Nedialkov, Guangning Tan +1
A characteristic feature of differential-algebraic equations is that one needs to find derivatives of some of their equations with respect to time, as part of so called index reduc…
Conversion Methods, Block Triangularization, and Structural Analysis of Differential-Algebraic Equation Systems
Guangning Tan, Nedialko S. Nedialkov, John D. Pryce
In a previous article, the authors developed two conversion methods to improve the -method for structural analysis (SA) of differential-algebraic equations (DAEs). These methods…
Conversion Methods for Improving Structural Analysis of Differential-Algebraic Equation Systems
Guangning Tan, Nedialko S. Nedialkov, John D. Pryce
Differential-algebraic equation systems (DAEs) are generated routinely by simulation and modeling environments. Before a simulation starts and a numerical method is applied, some k…