40 citations · 74 across the 8 of their papers we have counts for
10 papers
Inference of Hamiltonian and Lie-Poisson structures from vector field samples
Jason E. Frank, Georg A. Gottwald
We present a method for the data-driven inference of Hamiltonian and Lie-Poisson dynamical systems from vector-field samples, in which the Hamiltonian and the underlying Poisson te…
Symplectic Runge-Kutta discretization of a regularized forward-backward sweep iteration for optimal control problems
Xin Liu, Jason Frank
Li, Chen, Tai & E. (J. Machine Learning Research, 2018) have proposed a regularization of the forward-backward sweep iteration for solving the Pontryagin maximum principle in optim…
Derivation of Delay Equation Climate Models Using the Mori-Zwanzig Formalism
Swinda K. J. Falkena, Courtney Quinn, Jan Sieber +2
Models incorporating delay have been frequently used to understand climate variability phenomena, but often the delay is introduced through an ad-hoc physical reasoning, such as th…
A note on statistical consistency of numerical integrators for multi-scale dynamics
J. Frank, G. A. Gottwald
A minimal requirement for simulating multi-scale systems is to reproduce the statistical behavior of the slow variables. In particular, a good numerical method should accurately ap…
Exponentially convergent data assimilation algorithm for Navier-Stokes equations
Jason Frank, Tigran Tchrakian, Sergiy Zhuk
The paper presents a new state estimation algorithm for a bilinear equation representing the Fourier- Galerkin (FG) approximation of the Navier-Stokes (NS) equations on a torus in…
A detectability criterion and data assimilation for non-linear differential equations
Jason Frank, Sergiy Zhuk
In this paper we propose a new sequential data assimilation method for non-linear ordinary differential equations with compact state space. The method is designed so that the Lyapu…