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Three-dimensional first arrival traveltimes and amplitudes via eikonal and transport finite difference solvers
First arrival traveltimes and associated amplitudes are essential components in Kirchhoff migration and modeling. Traditionally they have been determined by ray tracing. However ray tracing does not give traveltimes on a ...
Inverse spectral problems with incomplete knowledge of the spectrum
To solve an inverse spectral problem, we try to discover an operator of a certain form that has a prescribed spectrum. In this thesis we proceed in two different settings, both times considering the potential function as ...
An investigation of the optimal design of the tallest unloaded column
The problem of the optimal design of the tallest unloaded column is revisited with a view towards clarifying the optimality of the design proposed by Keller & Niordson in 1966 (19). The first eigenvalue of a singular ...
Krylov-secant methods for solving large-scale systems of coupled nonlinear parabolic equations
This dissertation centers on two major aspects dictating the computational time of applications based on the solution of systems of coupled nonlinear parabolic equations: nonlinear and linear iterations. The former aspect ...