3 citations · 8 across the 10 of their papers we have counts for
11 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…
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…
Symbolic-numeric methods for improving structural analysis of differential-algebraic equation systems
Guangning Tan, Ned S. Nedialkov, John D. Pryce
Systems of differential-algebraic equations (DAEs) are generated routinely by simulation and modeling environments such as Modelica and MapleSim. Before a simulation starts and a n…
On Higher Dimensional Fibonacci Numbers, Chebyshev Polynomials and Sequences of Vector Convergents
Mark W. Coffey, James L. Hindmarsh, Matthew C. Lettington +1
We study higher-dimensional interlacing Fibonacci sequences, generated via both Chebyshev type functions and -dimensional recurrence relations. For each integer , there exist…
Graph theory, irreducibility, and structural analysis of differential-algebraic equation systems
John D. Pryce, Nedialko S. Nedialkov, Guangning Tan
The -method for structural analysis of a differential-algebraic equation (DAE) system produces offset vectors from which the sparsity pattern of a system Jacobian is derived. Th…
Exploiting Fine Block Triangularization and Quasilinearity in Differential-Algebraic Equation Systems
Nedialko S. Nedialkov, Guangning Tan, John D. Pryce
The -method for structural analysis of a differential-algebraic equation (DAE) system produces offset vectors from which the sparsity pattern of DAE's system Jacobian is derived…