Don’t just review the notes to answer these questions, literally write the answers down on paper, as if you were taking a quiz.
- What does the acronym ADI stand for?
- Describe the essence of the ADI method. What makes it fast? Why do we alternate directions?
- The ADI method was presented for elliptic problems. Can it also be used for parabolic problems?
- If we have a 3x3 grid of unknowns, what is the size of the tridiagonal matrix solved with ADI 1, and with ADI 2?
- Is ADI 1 more matrix-centric or more grid-centric? What about ADI 2?
- Which do you prefer? (Obviously there is no right answer to this question.)
- T/F: variations of the methods presented can lag the whole term (for the uncoupled direction), or just the neighbor points but not the center point?
- What are the differences between the ADI methods presented for elliptic problems and the ADI method of Hoffman?
- Review the provided ADI algorithm example in detail, so that you understand every line of code.
- After doing that, a useful exercise would be to code it from scratch yourself.