Santiago J. Benavides' Homepage
Dedalus Project — Dedalus Project documentation
Center for Computational Astrophysics
Hello! I'm an applied math instructor at MIT working on numerical methods, scientific computing, and fluid dynamics. I develop the spectral PDE solver Dedalus and use it to study diverse problems in astrophysical, geophysical, and biological fluids.
Spectral methods are a technique for discretizing PDEs that produce extremely accurate results in simple geometries. My work focuses on developing fast and flexible spectral solvers for large-scale scientific applications. My work in this area includes: Sparse tensorial bases for curvilinear coordinates. Generalized tau methods for enforcing boundary conditions. Fast direct solvers for coupled differential-algebraic systems. High-order immersed boundary and domain remapping techniques. Coupling to other PDE
I'm the lead developer of Dedalus , an open-source framework for solving partial differential equations with modern spectral methods. Dedalus uses symbolic model specification to produce spectrally accurate, optimally sparse, and automatically parallelized solvers for broad ranges of custom equation sets on simple domains. It's written in Python and is easy to use on a laptop, yet calls compiled libraries for performance-critical routines and scales to thousands of cores with MPI.
Santiago J. Benavides' Homepage
Dedalus Project — Dedalus Project documentation
Center for Computational Astrophysics