Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"Dirichlet-to-Neumann map"”.
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Integrable Evolution Partial Differential Equations: Multidimensions and Dirichlet-to-Neumann Maps
… Lax pair, and can be solved via a method related to the Inverse Scattering Transform. Although integrable systems are quite rare, they play an extremely important role in physical applications, including the theory of water waves and optics. The thesis focuses on two main topics: A. Solving …
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Consistency of nonparametric Bayesian methods for two statistical inverse problems arising from partial differential equations
… govern many natural phenomena. When trying to understand the parameters driving these phenomena, we must be aware of the inevitable errors in our measurements; in statistical inverse problems these measurement errors are modelled by statistical noise. One approach to recovering the PDE …
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Acoustic Scattering by Gratings
… the sound scattering by thin perforated plates, to further understand and develop analytic models for porous noise reduction metamaterials. The semi-analytic Fokas method is extended to periodic geometries, and the resulting integral equation, recognised as a generalised Dirichlet-to-Neumann map, …
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The broken non-abelian X-ray transform and inverse problems for connections at high fixed frequency
… of a u(n) -valued connection A on a Hermitian vector bundle E of rank n over a smooth Riemannian or Lorentzian manifold with boundary (M, g) from different geometric inverse problems. The connection is to be recovered up to a gauge that is the identity on the boundary. The main inverse problem we …
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The Calderón problem for connections
… a unitary connection $A$ on a Hermitian vector bundle $E$ of rank $m$ over a compact Riemannian manifold $(M, g)$ from the Dirichlet-to-Neumann (DN) map $\Lambda_A$ of the associated connection Laplacian $d_A^*d_A$. The connection is to be determined up to a unitary gauge equivalence equal …