Continuous-time air pollutant forecasting using multi-timescale attention neural ordinary differential equations (MA-NODE). [PDF]
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Improving multilevel Monte Carlo for stochastic differential equations with application to the Langevin equation. [PDF]
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MINT32: A Minimum-Image INT32 Coordinate Representation for Fast and Accurate Molecular Dynamics on GPUs. [PDF]
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Time step rescaling recovers continuous-time dynamical properties for discrete-time Langevin integration of nonequilibrium systems. [PDF]
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Zigzag path connects two Monte Carlo samplers: Hamiltonian counterpart to a piecewise deterministic Markov process. [PDF]
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Hamiltonian deformations of Gabor frames: First steps.
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The paper first reviews the concept of a symplectic map, its characterization and properties and various ways of construction. Among these is a rather formal discrete version of Euler-Lagrange equations, which relates to earlier work by Maeda on discrete Hamiltonian and Lagrangian systems.
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Extrapolation of symplectic Integrators
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A Symplectic Integrator for Riemannian Manifolds
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