Material For Inverse Theory course

This page contains material for the short course in Inverse Theory that was taught at Lulea Tekniska Universitet at Kiruna in February 2010.

• Introductory Mathematics notes. These notes are borrowed from a slightly different different inverse theory course that I used to run in Edinburgh.. They are really here as a reminder of the sort of mathematics that you will need for the main part of the course.
• Preparatory question sheet. The computing exercises require the files week1data.txt and randomdata1.txt
• Programme for the week.
• Notes for the first day
• Material for the first computing exercise. The instructions are on the question sheet. The three data files are called first_test_file.mat, second_test_file.mat, and pressures_near_EGPH.mat .
• IDL users will need to the these data in HDF5 format: first_test_file.h5, second_test_file.h5, and pressures_near_EGPH.h5 . Sample code to read the testing files is in readfakegw.pro and for the real data file in readgw.pro
• The first and second handouts from day 2.
• Material for the second computing exercise: The instructions and the data files: tprofs.dat nadout.dat and newrads.dat . To save you typing them in, there are also some code snippets to get the data read in: readprofs.m readks.m and readrads.m
• IDL users: there are also some code snippets for you to get the data read in: readprofs.pro readks.pro and readrads.pro
• The notes on errors from day 3.
• The notes on a priori data from days 3 and 4.
• The notes on nonlinear problems from day 4.
• The third exercise on a nonlinear problem.
• The first notes and second notes on assimilation from day 5.