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20192023
most citedNonlinear Balanced Truncation: Part 2 -- Model Reduction on Manifolds

7 citations · 8 across the 3 of their papers we have counts for

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Showing 2023Show all

5 papers · 1 filter

math.NA20235 cited

Global sensitivity analysis with limited data via sparsity-promoting D-MORPH regression: Application to char combustion

Dongjin Lee, Elle Lavichant, Boris Kramer

In uncertainty quantification, variance-based global sensitivity analysis quantitatively determines the effect of each input random variable on the output by partitioning the total…

math.NA2023

Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds

Harsh Sharma, Hongliang Mu, Patrick Buchfink +3

This work presents two novel approaches for the symplectic model reduction of high-dimensional Hamiltonian systems using data-driven quadratic manifolds. Classical symplectic model…

physics.space-ph2023

Bayesian Inference and Global Sensitivity Analysis for Ambient Solar Wind Prediction

Opal Issan, Pete Riley, Enrico Camporeale +1

The ambient solar wind plays a significant role in propagating interplanetary coronal mass ejections and is an important driver of space weather geomagnetic storms. A computational…

cs.SC2023

Exact and optimal quadratization of nonlinear finite-dimensional non-autonomous dynamical systems

Andrey Bychkov, Opal Issan, Gleb Pogudin +1

Quadratization of polynomial and nonpolynomial systems of ordinary differential equations is advantageous in a variety of disciplines, such as systems theory, fluid mechanics, chem…

math.OC20237 cited

Nonlinear Balanced Truncation: Part 2 -- Model Reduction on Manifolds

Boris Kramer, Serkan Gugercin, Jeff Borggaard

Nonlinear balanced truncation is a model order reduction technique that reduces the dimension of nonlinear systems in a manner that accounts for either open- or closed-loop observa…