Geophysical Inverse Theory
Princeton University Press, 1994 - 386 pages
In many physical sciences, the most natural description of a system is with a function of position or time. In principle, infinitely many numbers are needed to specify that function, but in practice only finitely many measurements can be made. Inverse theory concerns the mathematical techniques that enable researchers to use the available information to build a model of the unknown system or to determine its essential properties. In Geophysical Inverse Theory, Robert Parker provides a systematic development of inverse theory at the graduate and professional level that emphasizes a rigorous yet practical solution of inverse problems, with examples from experimental observations in geomagnetism, seismology, gravity, electromagnetic sounding, and interpolation. Although illustrated with examples from geophysics, this book has broad implications for researchers in applied disciplines from materials science and engineering to astrophysics, oceanography, and meteorology.
Parker's approach is to avoid artificial statistical constructs and to emphasize instead the reasonable assumptions researchers must make to reduce the ambiguity that inevitably arises in complex problems. The structure of the book follows a natural division in the subject into linear theory, in which the measured quantities are linear functionals of the unknown models, and nonlinear theory, which covers all other systems but is not nearly so well understood. The book covers model selection as well as techniques for drawing firm conclusions about the earth independent of any particular model.
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102 Subspaces Linear Combinations and Linear Independence
103 Bases and Dimension
106 Some Norms on FiniteDimensional Spaces
107 Some Norms on InfiniteDimensional Spaces
108 Convergence Cauchy Sequences and Completeness
304 The Magnetic Anomaly Problem Revisited
305 The Theory in Numerical Dress
306 Return to the Seismic Dissipation Problem
307 Large Numbers of Observations
Resolution and Inference
403 Bounding Linear Functionals in Hilbert Space
404 Bounding Functionals in Practice
110 Inner Products
111 Hilbert Space
112 Two Simple Minimization Problems
113 Numerical Aspects of Hilbert Space
114 Lagrange Multipliers
Linear Problems with Exact Data
202 Linear Inverse Problems
203 Existence of a Solution
204 Uniqueness and Stability
205 Some Special Solutions
206 The Magnetic Anomaly Profile
208 Seismic Dissipation in the Mantle
Linear Problems with Uncertain Data
302 Fitting within the Tolerance
303 The Spectral Approach
405 Ideal Bodies
406 Linear and Quadratic Programming
407 Examples using LP and QP
408 A Statistical Theory
502 Two Examples
503 Functional Differentiation
504 Constructing Models
505 The Gravity Profile
506 The Magnetotelluric Problem I
507 Resolution in Nonlinear Problems
508 The Magnetotelluric Problem II
The Dilogarithm Function
Table for 1norm Misfits
Geophysical Inverse Theory
Geophysical Inverse Theory. EASA-610, Saint Louis University, Spring 2004. Instructor: Dr. Keith Koper, email@example.com, 977-3197 ...
www.eas.slu.edu/ People/ KKoper/ Teaching/ EASA-610/
Inverse Theory Resources
A growing list of recommended textbooks and helpful papers, Q&A list, related web links, and lecture notes, all on aspects of geophysical inverse theory. ...
staff.washington.edu/ aganse/ invresources/ index.html
Free Books > Science > Earth Sciences > General > Geophysical ...
Geophysical Inverse Theory. by John Scales And Martin Smith ... In Geophysical Inverse Theory, Robert Parker provides a systematic development of inverse ...
2020ok.com/ books/ 64/ geophysical-inverse-theory-36264.htm
Introductory Geophysical Inverse Theory
Introductory Geophysical Inverse Theory. John A. Scales, Martin L. Smith and Sven Treitel. Samizdat Press. Golden · White River Junction ...
mesoscopic.mines.edu/ ~jscales/ gp605/ snapshot.pdf
Geophysical Inverse Theory. Berryman, jg, Lecture Notes on Nonlinear Inversion and ... Scales, J., M. Smith, and S. Treitel, Geophysical Inverse Theory . ...
cgiss.boisestate.edu/ ~billc/ important_texts.html
Madden, T., Lecture Notes on Geophysical Inverse Theory, MIT, 1986. ... Scales, ja, and ml Smith, Introductory Geophysical Inverse Theory, SAMIZDAT Press, ...
web.ics.purdue.edu/ ~nowack/ geos657/ books.657.html
Parker, rl: Geophysical Inverse Theory.
Description of the book Geophysical Inverse Theory by Parker, RL, published by Princeton University Press.
press.princeton.edu/ titles/ 5527.html
Final Report Geoid Recovery using Geophysical Inverse Theory ...
Final Report. Geoid Recovery. using Geophysical. Inverse. Theory. Applied. to Satellite. to Satellite. Tracking. Data. NASA Contract. NAS5-99123. Principal ...
ntrs.nasa.gov/ archive/ nasa/ casi.ntrs.nasa.gov/ 20020091591_2002153272.pdf
A Reading List in Inverse Problems
Geophysical Inverse Theory. Princeton University. Press, Princeton, NJ, 1994. ... DRAFT: Geophysical inverse theory. http://landau.Mines. ...
www.ees.nmt.edu/ Geop/ Classes/ GEOP529/ Docs/ biblio.pdf
"Moment-tensor inversion references"
Least-Squares Modeling and Geophysical Inverse Theory ... Parker, rl, Geophysical Inverse Theory, Princeton University Press, Princeton, NJ, 386 pages, ...
eqseis.geosc.psu.edu/ ~cammon/ HTML/ MTinvDocs/ mtref01.html