Maria K. Cameron

University of Maryland, Department of Mathematics

Software and Datasets

1. LJ6-14 aggregation/deformation network: dataset and software (March 2017)


2. Ordered Line Integral Methods for Computing the Quasi-potential
   • 2D solvers with different quadrature rules (2017)
   • A 2D solver with the midpoint rule for variable and anisotropic diffusion (2017). Updated 03/19/2024: I impoved the routine for computing the instanton.
   • A 3D solver with midpoint quadrature rule (2018)
   • An application to stochastic Lorenz’63 (2018)


3. Ordered Line Integral Methods for Solving the Eikonal Equation (February 2019) A source code library is available at
   Sam Potter’s website (see Software/olim)


4. Mesh generator and finite element method for implementing transition path theory for the study of rare events in systems governed by 2D SDEs. Sample systems include
   • the overdamped Langevin dynamics in Mueller's potential,
   • the overdamped Langevin dynamics in the "Face" potential,
   • the bistable Duffing oscillator with added white noise,
   • the Lennard-Jones-7 in 2D reduced to a 2D system evolving according to a time-reversible dynamics with anisotropic and position-dependent diffusion tensor.
   The source codes are written in Python. The data for LJ7 are generated by Luke Evans. The package accompanied with a readme is available on GitHub: mar1akc/transition_path_theory_FEM_distmesh