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Karen Willcox

Active 2002–2026

117
Papers
19,078
Citations
53
h-index
95
i10-index

Citations

Citations per year for Karen Willcox1999: 1 citations2000: 1 citations2003: 1 citations2004: 6 citations2005: 15 citations2006: 14 citations2007: 33 citations2008: 49 citations2009: 52 citations2010: 87 citations2011: 57 citations2012: 64 citations2013: 81 citations2014: 100 citations2015: 139 citations2016: 176 citations2017: 179 citations2018: 259 citations2019: 429 citations2020: 592 citations2021: 711 citations2022: 647 citations2023: 666 citations2024: 689 citations2025: 663 citations2026: 267 citations2027: 1 citations2001–2002: no citations, so these years are not shown

Citation sources

Countries

World map of the countries and regions citing this authorUnited States: 1,660 citing papers, 34.4% of this breakdownGermany: 469 citing papers, 9.7% of this breakdownChina: 457 citing papers, 9.5% of this breakdownUnited Kingdom: 281 citing papers, 5.8% of this breakdownFrance: 268 citing papers, 5.6% of this breakdownItaly: 242 citing papers, 5% of this breakdownNetherlands: 112 citing papers, 2.3% of this breakdownSwitzerland: 111 citing papers, 2.3% of this breakdownSpain: 104 citing papers, 2.2% of this breakdownCanada: 91 citing papers, 1.9% of this breakdownAustralia: 71 citing papers, 1.5% of this breakdownJapan: 71 citing papers, 1.5% of this breakdown
0%34.4%Other 18.3%

Institutions

Fields

  • Physics and Astronomy37.7%
  • Engineering18.2%
  • Computer Science17.3%
  • Decision Sciences12%
  • Mathematics3.1%
  • Medicine2.3%
  • Other9.4%

Topics

  • Model Reduction and Neural Networks16%
  • Probabilistic and Robust Engineering Design10.3%
  • Advanced Multi-Objective Optimization Algorithms5.4%
  • Numerical methods for differential equations2.7%
  • Gaussian Processes and Bayesian Inference2.6%
  • Advanced Numerical Methods in Computational Mathematics1.9%
  • Other61.1%

Coauthors

All papers

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  1. A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems

    Authors: Peter Benner, Serkan Gugercin, Karen Willcox - SIAM Review, SIAM Rev. 2015 cited by 1,842

  2. Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization

    Authors: Benjamin Peherstorfer, Karen Willcox, Max D. Gunzburger - SIAM Review, SIAM Rev. 2018 cited by 1,022

  3. Data-driven operator inference for nonintrusive projection-based model reduction

    Authors: Benjamin Peherstorfer, Karen Willcox - Computer Methods in Applied Mechanics and Engineering 2016 cited by 449

  4. Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems

    Authors: Elizabeth Qian, Boris Kramer, Benjamin Peherstorfer, Karen Willcox - Physica D Nonlinear Phenomena 2020 cited by 264

  5. Learning physics-based models from data: perspectives from inverse problems and model reduction

    Authors: Omar Ghattas, Karen Willcox - Acta Numerica, Acta Numer. 2021 cited by 154

  6. Scaling digital twins from the artisanal to the industrial

    Authors: Steven A. Niederer, Michael S. Sacks, Mark Girolami, Karen Willcox - Nature Computational Science, Nat. Comput. Sci. 2021 cited by 221

  7. Workshop Report on Basic Research Needs for Scientific Machine Learning: Core Technologies for Artificial Intelligence

    Authors: Nathan Baker, Frank Alexander, Peer‐Timo Bremer, Aric Hagberg, Yannis Kevrekidis, Habib N. Najm, Manish Parashar, Abani Patra, James A. Sethian, Stefan M. Wild, Karen Willcox, Steven Lee - USDOE Office of Science (SC) (United States) 2019 cited by 291

  8. Online Adaptive Model Reduction for Nonlinear Systems via Low-Rank Updates

    Authors: Benjamin Peherstorfer, Karen Willcox - SIAM Journal on Scientific Computing, SIAM J. Sci. Comput. 2015 cited by 229

  9. Balanced Model Reduction via the Proper Orthogonal Decomposition

    Authors: Karen Willcox, J. Peraire - AIAA Journal 2002 cited by 989

  10. Data‐driven physics‐based digital twins via a library of component‐based reduced‐order models

    Authors: Michael G. Kapteyn, David J. Knezevic, D.B.P. Huynh, M. D. Tran, Karen Willcox - International Journal for Numerical Methods in Engineering 2020 cited by 220

  11. Localized Discrete Empirical Interpolation Method

    Authors: Benjamin Peherstorfer, Daniel Butnaru, Karen Willcox, Hans-Joachim Bungartz - SIAM Journal on Scientific Computing, SIAM J. Sci. Comput. 2014 cited by 271

  12. Optimal Model Management for Multifidelity Monte Carlo Estimation

    Authors: Benjamin Peherstorfer, Karen Willcox, Max D. Gunzburger - SIAM Journal on Scientific Computing, SIAM J. Sci. Comput. 2016 cited by 252

  13. Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms

    Authors: Peter Benner, Pawan Goyal, Boris Kramer, Benjamin Peherstorfer, Karen Willcox - Computer Methods in Applied Mechanics and Engineering 2020 cited by 130

  14. Digital twins in mechanical and aerospace engineering

    Authors: Alberto Ferrari, Karen Willcox - Nature Computational Science, Nat. Comput. Sci. 2024 cited by 96

  15. Survey and perspective on verification, validation, and uncertainty quantification of digital twins for precision medicine

    Authors: Kaan Sel, Andrea Hawkins-Daarud, Anirban Chaudhuri, Deen Osman, Ahmad Bahai, David Paydarfar, Karen Willcox, Caroline Chung, Roozbeh Jafari - npj Digital Medicine, npj Digit. Medicine 2025 cited by 70

  16. Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems

    Authors: Chad Lieberman, Karen Willcox, Omar Ghattas - SIAM Journal on Scientific Computing, SIAM J. Sci. Comput. 2010 cited by 256

  17. Engineering Design with Digital Thread

    Authors: Victor Singh, Karen Willcox - AIAA Journal 2018 cited by 134

  18. Missing Point Estimation in Models Described by Proper Orthogonal Decomposition

    Authors: Patricia Astrid, Siep Weiland, Karen Willcox, Ton Backx - 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601) 2004 cited by 443

  19. Model Reduction for Large-Scale Systems with High-Dimensional Parametric Input Space

    Authors: Tan Bui-Thanh, Karen Willcox, Omar Ghattas - SIAM Journal on Scientific Computing, SIAM J. Sci. Comput. 2008 cited by 359

  20. Reduced Operator Inference for Nonlinear Partial Differential Equations

    Authors: Elizabeth Qian, Ionut-Gabriel Farcas, Karen Willcox - SIAM Journal on Scientific Computing, SIAM J. Sci. Comput. 2022 cited by 44

  21. Aerodynamic Data Reconstruction and Inverse Design Using Proper Orthogonal Decomposition

    Authors: Tan Bui–Thanh, M. Damodaran, Karen Willcox - AIAA Journal 2004 cited by 533

  22. Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition

    Authors: Karen Willcox - Computers & Fluids 2005 cited by 454

  23. Dynamic data-driven reduced-order models

    Authors: Benjamin Peherstorfer, Karen Willcox - Computer Methods in Applied Mechanics and Engineering 2015 cited by 217

  24. Nonlinear Model Order Reduction via Lifting Transformations and Proper Orthogonal Decomposition

    Authors: Boris Kramer, Karen Willcox - AIAA Journal 2019 cited by 128