Hamel's Formalism for Infinite-Dimensional Mechanical Systems. - Donghua Shi; Yakov Berchenko-Kogan; Dmitry V. Zenkov; Anthony M. Bloch (J. Nonlinear Sci., 2017)

Charge-conserving hybrid methods for the Yang-Mills equations. - Yakov Berchenko-Kogan; Ari Stern (CoRR, 2020)

Numerically computing the index of mean curvature flow self-shrinkers. - Yakov Berchenko-Kogan (CoRR, 2020)

The Entropy of the Angenent Torus is Approximately 1.85122. - Yakov Berchenko-Kogan (Exp. Math., 2021)

Constraint-Preserving Hybrid Finite Element Methods for Maxwell's Equations. - Yakov Berchenko-Kogan; Ari Stern (Found. Comput. Math., 2021)

Duality in Finite Element Exterior Calculus and Hodge Duality on the Sphere. - Yakov Berchenko-Kogan (Found. Comput. Math., 2021)

Blow-up Whitney forms, shadow forms, and Poisson processes. - Yakov Berchenko-Kogan; Evan S. Gawlik (CoRR, 2024)

Finite Element Approximation of the Levi-Civita Connection and Its Curvature in Two Dimensions. - Yakov Berchenko-Kogan; Evan S. Gawlik (Found. Comput. Math., 2024)

Symmetric Bases for Finite Element Exterior Calculus Spaces. - Yakov Berchenko-Kogan (Found. Comput. Math., 2024)

Extension operators and geometric decompositions. - Yakov Berchenko-Kogan (CoRR, 2025)

Finite element spaces of double forms. - Yakov Berchenko-Kogan; Evan S. Gawlik (CoRR, 2025)