1 citations · 2 across the 5 of their papers we have counts for
5 papers
The Padé matrix pencil method with spurious pole information assimilation
Daniel Tylavsky, Songyan Li, Di Shi
We present a novel method for calculating Padé approximants that is capable of eliminating spurious poles placed at the point of development and of identifying and eliminating spur…
Root Distribution in Padé Approximants and its Effect on Holomorphic Embedding Method Convergence
Songyan Li, Abhinav Dronamraju, Daniel Tylavsky
The requirement for solving nonlinear algebraic equations is ubiquitous in the field of electric power system simulations. While Newton-based methods have been used to advantage, t…
Implications of Stahl's Theorems to Holomorphic Embedding Pt. 1: Theoretical Convergence
Songyan Li, Daniel Tylavsky, Di Shi +1
What has become known as Stahl's Theorem in power engineering circles has been used to justify a convergence guarantee of the Holormorphic Embedding Method (HEM) as it applies to t…
Implications of Stahl's Theorems to Holomorphic Embedding Pt. 2: Numerical Convergence
Abhinav Dronamraju, Songyan Li, Qirui Li +4
What has become known as Stahl's Theorem in power-engineering circles has been used to justify a convergence guarantee of the Holomorphic Embedding Method (HEM) as it applies to th…
A Paradox Related to Mechanical and Electrical Energy Conversion
Songyan Li
A model is constructed and a paradox concerning the proper direction and magnitude of the external force to maintain the equilibrium state of a parallel plate capacitor system is r…