- Breifing
- Introduction
- Schedule of Lectures
- The classical examples : Arakawa's Jacobian(1966)
- Why is it important to maintain these conservations laws?
- How does the Arakawa Jacobian work?
- What does this have to do with the Arakawa Jacobian?
- 2nd-order Arakawa Jacobian
- REVIEW OF POISSON BRACKETS
- Examples : the shallow water equations(SWE) (1)
- Examples : the shallow water equations(SWE) (2)
- Arakawa + Lamb (1981)
- Hamiltonian approach: EXAMPLE one-dimentional SWE
- CONSERVATION LAWS IN HAMILTONIAN SYSTEMS
- A 1d SWE scheme that DOES conserve potential enstrophy
- GENERAL 2-DIMENTIONAL BRACKET(1)
- GENERAL 2-DIMENTIONAL BRACKET(2)
- Arakawa + Lamb (1981) scheme
- Find all the conservative algorithms that correspond to this stencil:
- How are the coefficients actually determined?
- C-grid schemes(1)
- C-grid schemes(2)
- The potential vorticity field
- Why do this?

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