Reconstruction of spectral function from effective permittivity of a composite material using rational function approximations. - Dali Zhang; Elena Cherkaev (J. Comput. Phys., 2009)

Stieltjes representation of the 3D Bruggeman effective medium and Padé approximation. - Dali Zhang; Elena Cherkaev; Michael P. Lamoureux (Appl. Math. Comput., 2011)

Null space correction and adaptive model order reduction in multi-frequency Maxwell's problem. - Michal Kordy; Elena Cherkaev; Philip E. Wannamaker (Adv. Comput. Math., 2017)

Learning POD of Complex Dynamics Using Heavy-ball Neural ODEs. - Justin M. Baker; Elena Cherkaev; Akil Narayan 001; Bao Wang 001 (CoRR, 2022)

Proximal Implicit ODE Solvers for Accelerating Learning Neural ODEs. - Justin M. Baker; Hedi Xia; Yiwei Wang; Elena Cherkaev; Akil Narayan 001; Long Chen; Jack Xin; Andrea L. Bertozzi; Stanley J. Osher; Bao Wang 001 (CoRR, 2022)

A two-stage method for reconstruction of parameters in diffusion equations. - Xuesong Bai; Elena Cherkaev; Dong Wang (CoRR, 2022)

A generalized expansion method for computing Laplace-Beltrami eigenfunctions on manifolds. - Jackson C. Turner; Elena Cherkaev; Dong Wang (CoRR, 2022)

Solving inverse scattering problems via reduced-order model embedding procedures. - Jörn T. Zimmerling; Vladimir Druskin; Murthy N. Guddati; Elena Cherkaev; Rob Remis (CoRR, 2023)

Regularized Reduced Order Lippman-Schwinger-Lanczos Method for Inverse Scattering Problems in the Frequency Domain. - Justin M. Baker; Elena Cherkaev; Vladimir Druskin; Shari Moskow; Mikhail Zaslavsky (CoRR, 2023)

Learning Proper Orthogonal Decomposition of Complex Dynamics Using Heavy-ball Neural ODEs. - Justin M. Baker; Elena Cherkaev; Akil Narayan 001; Bao Wang 001 (J. Sci. Comput., 2023)

Spectral theory of effective transport for discrete uniaxial polycrystalline materials. - Benjamin N. Murphy; Daniel Hallman; Elena Cherkaev; Kenneth M. Golden (CoRR, 2024)

Regularized reduced order Lippmann-Schwinger-Lanczos method for inverse scattering problems in the frequency domain. - Justin M. Baker; Elena Cherkaev; Vladimir Druskin; Shari Moskow; Mikhail Zaslavsky (J. Comput. Phys., 2025)