A parallel-computing solution for optimization of polynomials. - Matthew M. Peet; Yulia V. Peet (ACC, 2010)

Stability Analysis of Interface Temporal Discretization in Grid Overlapping Methods. - Yulia T. Peet; Paul F. Fischer (SIAM J. Numer. Anal., 2012)

Solving Large-Scale Robust Stability Problems by Exploiting the Parallel Structure of Polya's Theorem. - Reza Kamyar; Matthew M. Peet; Yulia T. Peet (IEEE Trans. Autom. Control., 2013)

Proper orthogonal decompositions in multifidelity uncertainty quantification of complex simulation models. - Oleg Roderick; Mihai Anitescu; Yulia T. Peet (Int. J. Comput. Math., 2014)

A spectrally accurate method for overlapping grid solution of incompressible Navier-Stokes equations. - Brandon E. Merrill; Yulia T. Peet; Paul F. Fischer; James W. Lottes (J. Comput. Phys., 2016)

Moving overlapping grid methodology of spectral accuracy for incompressible flow solutions around rigid bodies in motion. - Brandon E. Merrill; Yulia T. Peet (J. Comput. Phys., 2019)

A New Treatment of Boundary Conditions in PDE Solutions with Galerkin Methods via Partial Integral Equation Framework. - Yulia T. Peet; Matthew M. Peet (CoRR, 2020)

Verification and convergence study of a spectral-element numerical methodology for fluid-structure interaction. - YiQin Xu; Yulia T. Peet (J. Comput. Phys. X, 2021)

Linear Stability of Plane Poiseuille Flow in the Sense of Lyapunov. - Collin Edwards; Yulia T. Peet (CDC, 2023)

Discontinuous Galerkin spectral element method for shock capturing with summation by parts properties. - Fengrui Zhang; Yulia T. Peet (J. Comput. Phys. X, 2023)

Computational framework for efficient high-fidelity optimization of bio-inspired propulsion and its application to accelerating swimmers. - Ahmed Abouhussein; Yulia T. Peet (J. Comput. Phys., 2023)

A new treatment of boundary conditions in PDE solution with Galerkin methods via Partial Integral Equation framework. - Yulia T. Peet; Matthew M. Peet (J. Comput. Appl. Math., 2024)