4. Mathematics
  5. Differential Geometry

Ari Stern

Mathematics – Differential Geometry

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Discrete Hamilton-Pontryagin mechanics and generating functions on Lie groupoids

Mathematics – Symplectic Geometry
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Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms

Mathematics – Numerical Analysis
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Geometric variational crimes: Hilbert complexes, finite element exterior calculus, and problems on hypersurfaces

Mathematics – Numerical Analysis
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Implicit-Explicit Variational Integration of Highly Oscillatory Problems

Mathematics – Numerical Analysis
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L^p change of variables inequalities on manifolds

Mathematics – Differential Geometry
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