8 Exercises

• Exercise 1: Effects of an ill-conditioned matrix.
• Exercise 2; Effects of regularization.
• Exercise 3: Program for Tikhonov's methods.
• Exercise 4: Effect of the regularization parameter.
• Exercise 5: Generation of a finite element mesh.
• Exercise 6: Challenges of nonuniform mesh generation.
• Exercise 7: Finite difference program.
• Exercise 8: Determination of the bandwidth and the non-zero values.
• Exercise 9: 2D FE solver.
• Exercise 10: Estimates of accuracy.
• Exercise 11: Some thoughts on errors.
• Exercise 12: Error estimation program.
• Exercise 13: Some thoughts on adaptive mesh generation.