22 citations · 22 across the 2 of their papers we have counts for
2 papers
math.NA2005★ 22 cited
On a computational approach for the approximate dynamics of averaged variables in nonlinear ODE systems: toward the derivation of constitutive laws of the rate type
Amit Acharya, Aarti Sawant
A non-perturbative approach to the time-averaging of nonlinear, autonomous ODE systems is developed based on invariant manifold methodology. The method is implemented computational…
math-ph2004
Model Reduction via Parametrized Locally Invariant Manifolds: Some Examples
Aarti Sawant, Amit Acharya
A method for model reduction in nonlinear ODE systems is demonstrated through computational examples. The method does not require an implicit separation of time-scales in the fine…