Discrete geometric mechanics for variational time integrators. - Ari Stern; Mathieu Desbrun (SIGGRAPH Courses, 2006)

Implicit-Explicit Variational Integration of Highly Oscillatory Problems. - Ari Stern; Eitan Grinspun (Multiscale Model. Simul., 2009)

Geometric Variational Crimes: Hilbert Complexes, Finite Element Exterior Calculus, and Problems on Hypersurfaces. - Michael J. Holst; Ari Stern (Found. Comput. Math., 2012)

Semilinear Mixed Problems on Hilbert Complexes and Their Numerical Approximation. - Michael J. Holst; Ari Stern (Found. Comput. Math., 2012)

Modified Trigonometric Integrators. - Robert I. McLachlan; Ari Stern (SIAM J. Numer. Anal., 2014)

Banach space projections and Petrov-Galerkin estimates. - Ari Stern (Numerische Mathematik, 2015)

The Abstract Hodge-Dirac Operator and Its Stable Discretization. - Paul C. Leopardi; Ari Stern (SIAM J. Numer. Anal., 2016)

Explicit formulas for reaction probability in reaction-diffusion experiments. - Matt Wallace; Renato Feres; Grigoriy Yablonsky; Ari Stern (Comput. Chem. Eng., 2019)

Hodge decomposition and the Shapley value of a cooperative game. - Ari Stern; Alexander Tettenhorst (Games Econ. Behav., 2019)

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

Multisymplecticity of Hybridizable Discontinuous Galerkin Methods. - Robert I. McLachlan; Ari Stern (Found. Comput. Math., 2020)

Invariant Connections, Lie Algebra Actions, and Foundations of Numerical Integration on Manifolds. - Hans Z. Munthe-Kaas; Ari Stern; Olivier Verdier (SIAM J. Appl. Algebra Geom., 2020)

Structure-Preserving Numerical Integrators for Hodgkin-Huxley-Type Systems. - Zhengdao Chen; Baranidharan Raman; Ari Stern (SIAM J. Sci. Comput., 2020)

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

Aggregating community maps. - Erin W. Chambers; Moon Duchin; Ranthony A. C. Edmonds; Parker B. Edwards; JN Matthews; Anthony E. Pizzimenti; Chanel Richardson; Parker Rule; Ari Stern (SIGSPATIAL/GIS, 2022)

A nonconforming primal hybrid finite element method for the two-dimensional vector Laplacian. - Mary Barker; Shuhao Cao; Ari Stern (CoRR, 2022)

Hybridization and postprocessing in finite element exterior calculus. - Gerard Awanou; Maurice S. Fabien; Johnny Guzmán; Ari Stern (Math. Comput., 2022)

Functional equivariance and modified vector fields. - Ari Stern; Sanah Suri (CoRR, 2023)

Multisymplecticity in finite element exterior calculus. - Ari Stern; Enrico Zampa (CoRR, 2023)

Quadratic projectable Runge-Kutta methods. - Ari Stern; Milo Viviani (CoRR, 2024)

Functional Equivariance and Conservation Laws in Numerical Integration. - Robert I. McLachlan; Ari Stern (Found. Comput. Math., 2024)

Hamiltonian Mechanics and Lie Algebroid Connections. - Jiawei Hu; Ari Stern (J. Nonlinear Sci., 2024)