Programming with PETSc

• Vectors and Parallel Data
  • Creating and Assembling Vectors
  • Basic Vector Operations
  • Indexing and Ordering
  • Structured Grids Using Distributed Arrays
  • Vectors Related to Unstructured Grids
• Matrices
  • Creating and Assembling Matrices
  • Basic Matrix Operations
  • Matrix-Free Matrices
  • Other Matrix Operations
  • Partitioning
• KSP: Linear System Solvers
  • Using KSP
  • Solving Successive Linear Systems
  • Krylov Methods
  • Preconditioners
  • Solving Block Matrices
  • Solving Singular Systems
  • Using External Linear Solvers
• SNES: Nonlinear Solvers
  • Basic SNES Usage
  • The Nonlinear Solvers
  • General Options
  • Inexact Newton-like Methods
  • Matrix-Free Methods
  • Finite Difference Jacobian Approximations
  • Variational Inequalities
  • Nonlinear Preconditioning
• TS: Scalable ODE and DAE Solvers
  • Basic TS Options
  • DAE Formulations
  • Using Implicit-Explicit (IMEX) Methods
  • GLEE methods
  • Using fully implicit methods
  • Using the Explicit Runge-Kutta timestepper with variable timesteps
  • Special Cases
  • Monitoring and visualizing solutions
  • Error control via variable time-stepping
  • Handling of discontinuities
  • Using TChem from PETSc
  • Using Sundials from PETSc
• Performing sensitivity analysis
  • Using the discrete adjoint methods
  • Checkpointing
• Solving Steady-State Problems with Pseudo-Timestepping
• High Level Support for Multigrid with KSPSetDM() and SNESSetDM()
  • Adaptive Interpolation
• DMPlex: Unstructured Grids in PETSc
  • Representing Unstructured Grids
  • Data on Unstructured Grids
  • Evaluating Residuals
  • Networks