Numerical solutions to some inverse problems
Doctor of Philosophy === Department of Mathematics === Alexander G. Ramm === In this dissertation, the author presents two independent researches on inverse problems: (1) creating materials in which heat propagates a long a line and (2) 3D inverse scattering problem with non-over-determined data. Th...
| Main Author: | |
|---|---|
| Language: | en_US |
| Published: |
Kansas State University
2017
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/2097/38248 |
| Summary: | Doctor of Philosophy === Department of Mathematics === Alexander G. Ramm === In this dissertation, the author presents two independent researches on inverse problems: (1) creating materials in which heat propagates a long a line and (2) 3D inverse scattering problem with non-over-determined data. The theories of these methods were developed by Professor Alexander Ramm and are presented in Chapters 1 and 3. The algorithms and numerical results are taken from the papers of Professor Alexander Ramm and the author and are presented in Chapters 2 and 4. |
|---|