9 citations · 28 across the 13 of their papers we have counts for
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math.NA2015
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…
math.NA2015
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…
math.NA2012★ 1 cited
A unified approach to compute foliations, inertial manifolds, and tracking initial conditions
Y. -M. Chung, M. S. Jolly
Several algorithms are presented for the accurate computation of the leaves in the foliation of an ODE near a hyperbolic fixed point. They are variations of a contraction mapping m…