# Publications

(2019). Recovering missing CFD data for high-order discretizations using deep neural networks and dynamics learning. Journal of Computational Physics, Vol. 395, p. 105–124 (2019).

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

(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).

(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).

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

(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).

(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).

(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).

(2017). Galerkin v. least-squares Petrov--Galerkin projection in nonlinear model reduction. Journal of Computational Physics, Vol. 330, p. 693–734 (2017).

(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).

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

(2015). Preserving Lagrangian structure in nonlinear model reduction with application to structural dynamics. SIAM Journal on Scientific Computing, Vol. 37, No. 2, p. B153–B184 (2015).

(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).

(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.

(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.

(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).

(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).

(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.

(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.

(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).

(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.

(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.