Errata

The following misprints and errors are known:

  1. Missing author. My name should have been in there.
  2. 2.16. 'lambda approx 1' should be 'lambda equal to 1'
  3. 3.6. Missing bar over Omega in the answer
  4. 3.8b. ||f||=2 (not 1)
  5. 3.9 - 3.11. Missing square on the Fourier coefficients
  6. 3.17. "is a characteristic"
  7. 3.23c. v is piecewise linear, not v'
  8. 3.27b. The right hand side becomes (-2 -2 -2 -2)^T
  9. 3.29. The contributions from u_x is missing in the answer
  10. 3.39. The approximation is stable if k/h^2 <= 1 and g = 1 + ...
  11. 3.40. g = 1 + ...
  12. 3.44a. A v that should be w in the answer
  13. 3.53. The solution is (v(i+1)-v(i))/h+(v(i+1)+v(i))/2
  14. The definition of the discrete Fourier transform does not match the stated version of Parseval's
  15. When pluralis, is should be are

Things to include in a future version:

  1. Other boundary conditions for FEM
  2. The proofs of Gershgorin's theorems