A class of energy stable, high-order finite-difference interface schemes suitable for adaptive mesh refinement of hyperbolic problems. - Richard M. J. Kramer; Carlos Pantano; Dale I. Pullin (J. Comput. Phys., 2007)

Nondissipative and energy-stable high-order finite-difference interface schemes for 2-D patch-refined grids. - Richard M. J. Kramer; Carlos Pantano; D. I. Pullin (J. Comput. Phys., 2009)

Algebraically constrained extended edge element method (eXFEM-AC) for resolution of multi-material cells. - Richard M. J. Kramer; Pavel B. Bochev; Christopher M. Siefert; Thomas E. Voth (J. Comput. Phys., 2014)

A Cartesian-based embedded geometry technique with adaptive high-order finite differences for compressible flow around complex geometries. - H. Uddin; Richard M. J. Kramer; Carlos Pantano (J. Comput. Phys., 2014)

Formulation and computation of dynamic, interface-compatible Whitney complexes in three dimensions. - Richard M. J. Kramer; Christopher M. Siefert; Thomas E. Voth; Pavel B. Bochev (J. Comput. Phys., 2018)

IMEX and exact sequence discretization of the multi-fluid plasma model. - Sean T. Miller; Eric C. Cyr; John N. Shadid; Richard M. J. Kramer; Edward G. Phillips; Sidafa Conde; Roger P. Pawlowski (J. Comput. Phys., 2019)