On 2D Inverse Problems
On 2D Inverse Problems
Wikibooks version
For Nicole DeLaittre
Basic definitions and background
Graphs and manifolds
Harmonic functions
On random processes
Special matrices and determinants
Electrical networks
The inverse problems
Classical inverse problems
On the inverse problem of Calderon
"Can One Hear the Shape of a Drum?"
On inhomogeneous string of Krein
Embedded graphs
↑Jump back a sectionThe layered case
Fourier transform
Stieltjes continued fractions
Solution of the inverse problem
Layered discretization
Discrete and continuous models
Kernel of Dirichlet-to-Neumann map
Riemann mapping theorem
Hilbert transform
Schrodinger equation
Variation diminishing property
Spectral properties
Acknowledgements
The author would like to thank Wiki and Sage projects for the help in writing the book @ all stages of the process.
