Sökning: "Ill-posed"
Visar resultat 6 - 10 av 37 avhandlingar innehållade ordet Ill-posed.
6. The Use of Landweber Algorithm in Image Reconstruction
Sammanfattning : Ill-posed sets of linear equations typically arise when discretizing certain types of integral transforms. A well known example is image reconstruction, which can be modelled using the Radon transform. After expanding the solution into a finite series of basis functions a large, sparse and ill-conditioned linear system arises. LÄS MER
7. Machine Learning Techniques for Enhanced Heat Transfer Modelling
Sammanfattning : With the continuous growth of global energy demand, processes from power generation to electronics cooling become vitally important. The role of heat transfer in these processes is crucial, facilitating effective monitoring, control, and optimisation. LÄS MER
8. Reconstruction of flow and temperature from boundary data
Sammanfattning : In this thesis, we study Cauchy problems for elliptic and parabolic equations. These include the stationary Stokes system and the heat equation. Data are given on a part of the boundary of a bounded domain. The aim is to reconstruct the solution from these data. LÄS MER
9. Pontryagin approximations for optimal design
Sammanfattning : This thesis concerns the approximation of optimally controlled partial differential equations for applications in optimal design and reconstruction. Such optimal control problems are often ill-posed and need to be regularized to obtain good approximations. LÄS MER
10. Regularization of Parameter Problems for Dynamic Beam Models
Sammanfattning : The field of inverse problems is an area in applied mathematics that is of great importance in several scientific and industrial applications. Since an inverse problem is typically founded on non-linear and ill-posed models it is a very difficult problem to solve. LÄS MER
