Publications

(2019). Data-driven time parallelism via forecasting. SIAM Journal on Scientific Computing, 41(3):B466–B496, 2019.

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(2019). Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations. Computer Methods in Applied Mechanics and Engineering, Vol. 348, p.250–296 (2019).

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(2019). Space–time least-squares Petrov–Galerkin projection for nonlinear model reduction. SIAM Journal on Scientific Computing, Vol. 41, No. 1, p. A26–A58 (2019).

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(2018). Conservative model reduction for finite-volume models. Journal of Computational Physics, Vol. 371, p. 280–314 (2018).

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(2018). Stochastic least-squares Petrov–Galerkin method for parameterized linear systems. SIAM/ASA Journal on Uncertainty Quantification, Vol. 6, No. 1, p.374–396 (2018).

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(2017). Krylov-subspace recycling via the POD-augmented conjugate-gradient method. SIAM Journal on Matrix Analysis and Applications, Vol. 37, No. 3, p.1304–1336 (2016).

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(2017). Error modeling for surrogates of dynamical systems using machine learning. International Journal for Numerical Methods in Engineering, Vol. 112, No. 12, p. 1801–1827 (2017).

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(2015). Decreasing the temporal complexity for nonlinear, implicit reduced-order models by forecasting. Computer Methods in Applied Mechanics and Engineering, Vol. 289, p.79–103 (2015).

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(2015). Adaptive $h$-refinement for reduced-order models. International Journal for Numerical Methods in Engineering, Vol. 102, No. 5, p.1192–1210 (2015).

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(2015). The ROMES method for statistical modeling of reduced-order-model error. SIAM/ASA Journal on Uncertainty Quantification, Vol. 3, No. 1, p.116–145 (2015).

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(2012). Efficient structure-preserving model reduction for nonlinear mechanical systems with application to structural dynamics. AIAA Paper 2012-1969, 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, Honolulu, Hawaii, April 23–26, 2012.

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(2011). The GNAT nonlinear model reduction method and its application to fluid dynamics problems. AIAA Paper 2011-3112, 6th AIAA Theoretical Fluid Mechanics Conference, Honolulu, Hawaii, June 27–30, 2011.

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(2011). A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. International Journal for Numerical Methods in Engineering, Vol. 86, No. 3, p. 381–402 (2011).

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(2011). Efficient non-linear model reduction via a least-squares Petrov–Galerkin projection and compressive tensor approximations. International Journal for Numerical Methods in Engineering, Vol. 86, No. 2, p. 155–181 (2011).

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(2010). Reduced order modeling applied to the discrete ordinates method for radiation heat transfer in participating media. HT 2016-7010, ASME 2016 Summer Heat Transfer Conference, Washington, DC, July 10–14, 2016.

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(2010). Gappy data reconstruction and applications in archaeology. Proceedings of XXXVIII Conference on Computer Applications & Quantitative Methods in Archaeology, Granada, Spain, April 6–9, 2010.

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(2009). A method for interpolating on manifolds structural dynamics reduced-order models. International Journal for Numerical Methods in Engineering, Vol. 80, No. 9, p. 1241–1257 (2009).

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(2009). An adaptive POD-Krylov reduced-order model for structural optimization. Proceedings of 8th World Congress on Structural and Multidisciplinary Optimization, Lisbon, Portugal, June 1–5, 2009.

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(2008). A low-cost, goal-oriented ‘compact proper orthogonal decomposition’ basis for model reduction of static systems. AIAA Paper 2008-5964, 12th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Victoria, Canada, September 10–12, 2008.

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