672 citations · 1.4k across the 27 of their papers we have counts for
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math.NA2012★ 1 cited
Decreasing the temporal complexity for nonlinear, implicit reduced-order models by forecasting
Kevin Carlberg, Jaideep Ray, Bart van Bloemen Waanders
Implicit numerical integration of nonlinear ODEs requires solving a system of nonlinear algebraic equations at each time step. Each of these systems is often solved by a Newton-lik…
math.NA2012★ 672 cited
The GNAT method for nonlinear model reduction: effective implementation and application to computational fluid dynamics and turbulent flows
Kevin Carlberg, Charbel Farhat, Julien Cortial +1
The Gauss--Newton with approximated tensors (GNAT) method is a nonlinear model reduction method that operates on fully discretized computational models. It achieves dimension reduc…