70 citations · 388 across the 29 of their papers we have counts for
29 papers
Functional equivariance and modified vector fields
Ari Stern, Sanah Suri
This paper examines functional equivariance, recently introduced by McLachlan and Stern [Found. Comput. Math. (2022)], from the perspective of backward error analysis. We character…
Hamiltonian mechanics and Lie algebroid connections
Jiawei Hu, Ari Stern
We develop a new, coordinate-free formulation of Hamiltonian mechanics on the dual of a Lie algebroid. Our approach uses a connection, rather than coordinates in a local trivializa…
A nonconforming primal hybrid finite element method for the two-dimensional vector Laplacian
Mary Barker, Shuhao Cao, Ari Stern
We introduce a nonconforming hybrid finite element method for the two-dimensional vector Laplacian, based on a primal variational principle for which conforming methods are known t…
Anticanonical models of smoothings of cyclic quotient singularities
Arié Stern
Given a surface cyclic quotient singularity , it is an open problem to determine all smoothings of that admit an anticanonical model and to compute it. In [HTU], Hackin…
Functional equivariance and conservation laws in numerical integration
Robert I. McLachlan, Ari Stern
Preservation of linear and quadratic invariants by numerical integrators has been well studied. However, many systems have linear or quadratic observables that are not invariant, b…
Hybridization and postprocessing in finite element exterior calculus
Gerard Awanou, Maurice Fabien, Johnny Guzmán +1
We hybridize the methods of finite element exterior calculus for the Hodge-Laplace problem on differential -forms in . In the cases and , we recover…