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Augustus Method Overview

Spatial Discretization
- Morel-Hall asymmetric diffusion discretization
- Support Operator symmetric diffusion discretization
Temporal Discretization
- Backwards Euler implicit discretization
Matrix Solution
- Krylov Subspace Iterative Methods
  - JTpack: GMRES, BCGS, TFQMR, CG
  - Preconditioners:
    - JTpack: Jacobi, SSOR, ILU
    - Low-order version of Morel-Hall or Support Operator discretization that is a smaller, symmetric system and is solved by CG with SSOR (from JTpack)
- Incomplete Direct Method - UMFPACK
Augustus is used as the diffusion kernel for the Spartan SP_N package and the Magnum MHD package