1. Verify that the pressure gradient force terms in (4.1)-(4.3) can be re-expressed in terms of Exner function and virtual potential temperature, as in (4.15)-(4.17).
2. Derive a fifth-order accurate finite-difference approximation to the first derivative ... See Pr4.2
1. Numerically integrate the 1D linear advection equation (or linear wave equation) using the leapfrog scheme ... See Ex4.1