Daily Log

Daily topics and PDFs (handouts and worksheets) will appear here as they occur. See also the Schedule. You do not have to turn-in any handout or worksheet! Note that the recorded lectures are in Announcements at the Canvas site.

• Friday 7 March: explicit midpoint, trapezoid, truncation error
• Wednesday 5 March: direction fields, forward & backward Euler
• Monday 3 March: Lipschitz condition, well-posedness
• Friday 28 February: eigenvalues/vectors, diagonalization
• Wednesday 26 February: examples, matrix exponential
• Monday 24 February: initial value problems
  (start Chapter 5)
• Friday 21 February: 2D linear advection-diffusion steady state problem
• Wednesday 19 February: 2D Poisson equation
  (start Chapter 3)
• Monday 17 February: advection-diffusion
• Friday 14 February: advection, boundary layer
  handout: 1st-order DEs, 2nd-order DEs, singular perturbations (PDF)
• Wednesday 12 February: nonlinear BVP
• Monday 10 February: convergence overview; symmetric (self-adjoint) form
  handout: why FD methods work (PDF)
• Friday 7 February: Neumann boundary conditions, well-posedness
• Wednesday 5 February: stability in 2-norm by eigenvalues
• Monday 3 February: fundamental theorem (Lax equivalence theorem)
• Friday 31 January: definition of convergent, stable
• Wednesday 29 January: definitions of local trucation error, consistent
• Monday 27 January: constructive FD solution of u''=f with b.c.s
• Friday 24 January: solve steady-state heat equation
  (start Chapter 2)
• Wednesday 22 January: FD intro done
• Friday 17 January: basic finite differences (FD)
  (start Chapter 1)
• Wednesday 15 January: examples; Taylor's theorem; linear ODEs
• Monday 13 January: examples to get us started