Unsteady (parabolic) boundary-layer.

Karman rotating-disk.

Blasius boundary-layer.

Falkner-Skan equation.

Orr-Sommerfeld equation.

Bi-harmonic equation.

Sod's shocktube.

Linear acoustics.

Shallow water equations.

Compressible Euler.

Lorenz equations.

Poisson problem.

Dense/sparse vectors.

Dense/Banded/Sparse matrices.

Linear solvers

LAPACK, SuperLU, MUMPS_seq.

Arc-length continuation.

Newton iteration.

Initial value problems.

1D boundary-value problems.

1D eigenvalue problems.

1D/2D hyperbolic problems.

2D parabolic problems.