Essays about: "ill-posed problems"

Found 4 essays containing the words ill-posed problems.

  1. 1. Regularizing An Ill-Posed Problem with Tikhonov’s Regularization

    University essay from Linköpings universitet/Analys och didaktik; Linköpings universitet/Tekniska fakulteten

    Author : Herman Singh; [2022]
    Keywords : Inverse problem; Ill-posed problems; Tikhonov’s regularization; Fourier series; Helmholtz equation;

    Abstract : 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

  3. 2. Towards Identification of Effective Parameters in Heterogeneous Media

    University essay from

    Author : David Johansson; [2020]
    Keywords : parameter identification; multiscale modelling; homogenization theory; partial differential equations; inverse modelling;

    Abstract : 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

  4. 3. Solving ill-posed problems with mollification and an application in biometrics

    University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Emma Lindgren; [2018]
    Keywords : Mollification; regularization; ill-posed problems; biometrics; blood vessel;

    Abstract : 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

  5. 4. Ill-posed problems and their applications to climate research

    University essay from Analys och tillämpad matematik

    Author : Ina von Würtemberg; [2011]
    Keywords : ;

    Abstract : .... READ MORE