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.
Results
Showing 1 to 8 of 8 for “"Nonlinear inverse problems"”.
-
Contributions to regularization theory and practice of certain nonlinear inverse problems
… as well as numerical aspects of the treatment of nonlinear inverse problems. The first part considers Tikhonov regularization for nonlinear ill-posed operator equations in Hilbert scales with oversmoothing penalties. Sufficient as well as necessary conditions to establish convergence are …
-
Numerical Methods for Separable Nonlinear Inverse Problems with Constraint and Low Rank
In this age, there are many applications of inverse problems to lots of areas ranging from astronomy, geoscience and so on. For example, image reconstruction and deblurring require the use of methods to solve inverse problems. Since the problems are subject to many factors and noise, we can't …
-
Electromagnetic Inverse Scattering Problems for Strong Scatterers
The application of electromagnetic waves to inverse scattering problems can provide information about a distant object or allow an object to be analyzed without using invasive procedures. This dissertation develops two-dimensional theories for solving the inverse scattering problem of strong …
-
Multiprocessor sparse SVD algorithms and applications
… sparse term-document matrices are needed, and by nonlinear inverse problems arising from seismic reflection tomography applications.
-
Row-Action Methods for Massive Inverse Problems
… applications have seen the rise of massive inverse problems, where there are too much data to implement an all-at-once strategy to compute a solution. Additionally, tools for regularizing ill-posed inverse problems are infeasible when the problem is too large. This thesis focuses on the …
-
Asymptotic theory for Bayesian nonparametric inference in statistical models arising from partial differential equations
… procedures in such parameter identification problems in PDEs. In particular, inverse regression models for elliptic equations and stochastic diffusion models are considered. In Chapter 2, we study the statistical inverse problem of recovering an unknown function from a linear indirect …
-
Statistical inference and computation in elliptic PDE models
… is derived in a general setting for non-linear inverse problems and then applied to two examples, the steady-state Schr\"odinger equation studied in Chapter \ref{sampling} and a model for the steady-state heat equation. It is shown that the rates obtained are minimax-optimal in prediction loss. …
-
Consistency of nonparametric Bayesian methods for two statistical inverse problems arising from partial differential equations
… errors in our measurements; in statistical inverse problems these measurement errors are modelled by statistical noise. One approach to recovering the PDE coefficients governing such statistical inverse problems is through Bayesian methodology. This thesis investigates the theoretical …