98 citations · 124 across the 9 of their papers we have counts for
3 papers · 2 filters
Non-Autonomous Inertial Manifold Reduction
Yu-Min Chung, Andrew J. Steyer, Erik S. Van Vleck
Techniques are developed for decoupling dissipative differential equations. The approach considered is based upon obtaining a sufficient gap in the time dependent linear portion of…
Global Error Analysis and Inertial Manifold Reduction
Yu-Min Chung, Andrew Steyer, Michael Tubbs +2
Four types of global error for initial value problems are considered in a common framework. They include classical forward error analysis and shadowing error analysis together with…
A Lyapunov and Sacker-Sell spectral stability theory for one-step methods
Andrew J. Steyer, Erik S. Van Vleck
Approximation theory for Lyapunov and Sacker-Sell spectra based upon QR techniques is used to analyze the stability of a one-step method solving a time-dependent, linear, ordinary…