Topics in ATM 150 Lectures and Exercises
Page Last modified: 7 September 2005
- Accelerated Introduction to FORTRAN
- Using UNIX on Atmospheric Science (AS) Computers
- Introduction to FORTRAN programming
- Input/Output and Graphics on AS computers
- Lab ex: FORTRAN, recursion, & graphics issues ?
- Finite Difference and Integral Numerical Methods
- Taylor Series Basis
- Common, Simple, Space Differencing Examples
- Common, Simple Methods for Solving Integrals
- Lab ex: making a finite difference; solving an integral ?
- Finite Differencing of "Hyperbolic" Equations
- Phase and Group Velocity Errors
- Matrix Form to Include Boundary Conditions
- Computational Stability, Spurious Modes
- Various Time Integration Schemes
- Lab ex: making time integrations, "flipping indexes" ?
- Finite Differencing of Parabolic and Elliptic Equations
- Successive Over Relaxation (and beyond)
- Tridiagonal inversion for time schemes (Gaussian Elimination)
- Grid Design
- Lab ex: Applications such as: balance eqn, dynamics theory,
implicit time schemes ?
- Lab ex: nonlinear BVE solution ?
- Spectral Methods
- Brief Introduction to Fourier Series
- Brief Introduction to Time Series applications
- Brief Introduction to Modelling applications:
- Handling Nonlinear
Terms: Transform Method
- Aliasing Problems and Solutions
- Boundary Conditions
- Lab ex: using FFT ?
- Lab ex: applications such as:
- spectral form for advection eqn. ?
- time series analysis ?
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