Reduced Basis Methods for Pricing Options with the Black-Scholes and Heston Models. - Olena Burkovska; Bernard Haasdonk; Julien Salomon; Barbara I. Wohlmuth (SIAM J. Financial Math., 2015)

On a nonlocal Cahn-Hilliard model permitting sharp interfaces. - Olena Burkovska; Max D. Gunzburger (CoRR, 2020)

Affine Approximation of Parametrized Kernels and Model Order Reduction for Nonlocal and Fractional Laplace Models. - Olena Burkovska; Max D. Gunzburger (SIAM J. Numer. Anal., 2020)

An optimization-based approach to parameter learning for fractional type nonlocal models. - Olena Burkovska; Christian Glusa; Marta D'Elia (Comput. Math. Appl., 2022)

Non-isothermal nonlocal phase-field models with a double-obstacle potential. - Olena Burkovska (CoRR, 2023)

Multifidelity Methods for Uncertainty Quantification of a Nonlocal Model for Phase Changes in Materials. - Parisa Khodabakhshi; Olena Burkovska; Karen Willcox; Max D. Gunzburger (CoRR, 2023)

An efficient proximal-based approach for solving nonlocal Allen-Cahn equations. - Olena Burkovska; Ilyas Mustapha (CoRR, 2024)

An End-to-End Deep Learning Method for Solving Nonlocal Allen-Cahn and Cahn-Hilliard Phase-Field Models. - Yuwei Geng; Olena Burkovska; Lili Ju; Guannan Zhang; Max D. Gunzburger (CoRR, 2024)