GP180 Geophysical Inverse Theory

Paul Segall and Greg Beroza, Spring 2001


Reading List

Geophysical Data Analysis: Discrete Inverse Theory, William Menke, Revised Edition 1989, Academic Press (required text, theory for discrete problems).

Geophysical Inverse Theory, Robert L. Parker, 1994, Princeton University Press (recommended text, theory for continuous problems).

Chapter 12 (Inverse Problems in Seismology) of Quantitative Seismology: Theory and Methods, K. Aki and P.G. Richards (Alternate presentation of much of the material in Menke.)

Inverse Problem Theory: Methods for Data Fitting and Model Parameter Estimation, Albert Tarantola, 1987, Elseveir (a more statistical approach, as in Chapter 5 of Menke.)

Linear Differential Operators, Cornelius Lanczos, 1961, Van Nostrand (out of print, theory behind much of the approach in Aki and Richards, Menke, etc.)

Optimization by Vector Space Methods, David G. Luenberger, 1969, Wiley (a more mathematical presentation of some of the material in Parker.)

Linear Algebra and its Applications, Gilbert Strang, 1976, Academic Press (review of linear algebra).