Contributions
Open-source contributions to Julia packages in numerical methods and scientific computing.
Julia package for fully implicit Runge–Kutta methods, expanding on SciML's OrdinaryDiffEq.jl. Plans to expand this to custom collocation methods for expermentation and learning uses
Contributor to SciML's differential equation ecosystem.
- Arbitrary-order Gauss–Legendre FIRK methods with further improvements
- Monotone Runge–Kutta Chebyshev methods
- Stabilized explicit Runge–Kutta–Legendre and Gegenbauer supertimestepping
- HHT/Generalized-α methods for structural dynamics
Developer working on high-order methods for hyperbolic PDEs.
- Spectral analysis based on FFTW
- Examples and smaller code contributions
- Higher-order reconstruction block finite volume methods
Core contributor to isogeometric analysis in Julia.
- Code refinement
- h-, p-, and k-refinement
- Further plans to present and refine the package