Essays about: "ill-posed problems"
Found 4 essays containing the words ill-posed problems.
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1. Regularizing An Ill-Posed Problem with Tikhonov’s Regularization
University essay from Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakultetenAbstract : This thesis presents how Tikhonov’s regularization can be used to solve an inverse problem of Helmholtz equation inside of a rectangle. The rectangle will be met with both Neumann and Dirichlet boundary conditions. A linear operator containing a Fourier series will be derived from the Helmholtz equation. READ MORE
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2. Towards Identification of Effective Parameters in Heterogeneous Media
University essay fromAbstract : In this thesis we study a parameter identification problem for a stationary diffusion equation posed in heterogeneous media. This problem is closely related to the Calderón problem with anisotropic conductivities. The anisotropic case is particularly difficult and is ill-posed both in regards to uniqueness of solution and stability on the data. READ MORE
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3. Solving ill-posed problems with mollification and an application in biometrics
University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakultetenAbstract : This is a thesis about how mollification can be used as a regularization method to reduce noise in ill-posed problems in order to make them well-posed. Ill-posed problems are problems where noise get magnified during the solution process. An example of this is how measurement errors increases with differentiation. READ MORE
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4. Ill-posed problems and their applications to climate research
University essay from Analys och tillämpad matematikAbstract : .... READ MORE