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20152023
most citedPETSc/TS: A Modern Scalable ODE/DAE Solver Library

146 citations · 198 across the 25 of their papers we have counts for

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6 papers · 1 filter

math.OC2023

Efficient Computation of Power System Maximum Transient Linear Growth

Daniel Adrian Maldonado, Emil Constantinescu, Junbo Zhao +1

Existing methods to determine the stability of a power system to small perturbations are based on eigenvalue analysis and focus on the asymptotic (long-term) behavior of the power…

math.OC2021★ 5 cited

Trust-region approximation of extreme trajectories in power system dynamics

Daniel Adrian Maldonado, Emil Constantinescu, Hong Zhang +2

In this work we present a novel technique, based on a trust-region optimization algorithm and second-order trajectory sensitivities, to compute the extreme trajectories of power sy…

math.OC2020★ 1 cited

Optimal Experimental Design for Inverse Problems in the Presence of Observation Correlations

Ahmed Attia, Emil Constantinescu

Optimal experimental design (OED) is the general formalism of sensor placement and decisions about the data collection strategy for engineered or natural experiments. This approach…

math.OC2018

Statistical Treatment of Inverse Problems Constrained by Differential Equations-Based Models with Stochastic Terms

Emil M. Constantinescu, Noemi Petra, Julie Bessac +1

This paper introduces a statistical treatment of inverse problems constrained by models with stochastic terms. The solution of the forward problem is given by a distribution repres…

math.OC2018

A scalable matrix-free spectral element approach for unsteady PDE constrained optimization using PETSc/TAO

Oana Marin, Emil Constantinescu, Barry Smith

We provide a new approach for the efficient matrix-free application of the transpose of the Jacobian for the spectral element method for the adjoint based solution of partial diffe…

math.OC2016

A Bayesian Approach for Parameter Estimation with Uncertainty for Dynamic Power Systems

Noemi Petra, Cosmin G. Petra, Zheng Zhang +2

We address the problem of estimating the uncertainty in the solution of power grid inverse problems within the framework of Bayesian inference. We investigate two approaches, an ad…