Functional level-set derivative for a polymer self consistent field theory Hamiltonian. - Gaddiel Ouaknin; Nabil Laachi; Daniil Bochkov; Kris T. Delaney; Glenn H. Fredrickson; Frédéric Gibou (J. Comput. Phys., 2017)

Poisson equations in irregular domains with Robin boundary conditions - Solver with second-order accurate gradients. - Victoria Arias; Daniil Bochkov; Frédéric Gibou (J. Comput. Phys., 2018)

The island dynamics model on parallel quadtree grids. - Pouria Mistani; Arthur Guittet; Daniil Bochkov; Joshua Schneider 002; Dionisios Margetis; Christian Ratsch; Frédéric Gibou (J. Comput. Phys., 2018)

Multidimensional Extrapolation over Interfaces with Kinks and Regions of High Curvatures. - Daniil Bochkov; Frédéric Gibou (CoRR, 2019)

Solving Poisson-type equations with Robin boundary conditions on piecewise smooth interfaces. - Daniil Bochkov; Frédéric Gibou (J. Comput. Phys., 2019)

Solving elliptic interface problems with jump conditions on Cartesian grids. - Daniil Bochkov; Frédéric Gibou (J. Comput. Phys., 2020)

PDE-Based Multidimensional Extrapolation of Scalar Fields over Interfaces with Kinks and High Curvatures. - Daniil Bochkov; Frédéric Gibou (SIAM J. Sci. Comput., 2020)

Computational Methods for Solidification of Multicomponent Materials and Moving Boundary Problems in Physics of Inhomogeneous Polymers - Daniil Bochkov (2020)

A sharp numerical method for the simulation of Stefan problems with convective effects. - Elyce Bayat; Raphael Egan; Daniil Bochkov; Alban Sauret; Frédéric Gibou (J. Comput. Phys., 2022)

Efficient calculation of fully resolved electrostatics around large biomolecules. - Rochishnu Chowdhury; Raphael Egan; Daniil Bochkov; Frédéric Gibou (J. Comput. Phys., 2022)

A numerical method for sharp-interface simulations of multicomponent alloy solidification. - Daniil Bochkov; Tresa Pollock; Frédéric Gibou (J. Comput. Phys., 2023)

A fast solver for the spatially homogeneous electron Boltzmann equation. - Milinda Fernando; Daniil Bochkov; James Almgren-Bell; Todd A. Oliver; Robert D. Moser; Philip Varghese; Laxminarayan L. Raja; George Biros (CoRR, 2024)