← Main book chapter 12
Contents / index
Browser back
← Previous chapter
Next chapter →
Laboratory
Memory
Cards
Sort
Match
Visuals
Coding
Quiz
Game Cards
Game Cards — Chapter 12
Each card is a fast recall challenge. Try to answer before revealing the back.
Shuffle on page
Reveal all
Hide all
Go to memory cards
Stencil
A stencil approximates a differential operator from neighboring grid values.
PDE classes
Elliptic, parabolic, and hyperbolic PDEs demand different discretizations and stability diagnostics.
Poisson equation
Elliptic discretization typically gives a sparse linear system with boundary conditions built in.
Heat equation
Parabolic schemes combine spatial discretization and time stepping; stability controls the time step.
Grid refinement
Reliable PDE results require refinement studies, residual checks, and boundary-condition verification.
CFL
CFL-type restrictions connect the time step with the spatial grid and propagation speed.