Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs write by Frederic Weidling. This book was released on 2019. Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs available in PDF, EPUB and Kindle. In inverse problems one wants to find some parameter of interest which is not directly observable by indirect measurement. These measurements are usually noisy while the mapping of measurement to parameter is typically illposed (that is unstable). Therefore one applies regularization techniques that balance these two factors to find a stable approximation of the sought for parameter. However, in order to bound the reconstruction error, one needs additional information on the true parameter, which is nowadays typically formulated in terms of variational source conditions. In this thesis, we develop a general strategy to verify these conditions based on smoothness of the true parameter and the illposedness of the problem; the latter will be characterized by exploiting structural similarities to stability estimates. Following this, we apply our strategy to verify variational source conditions for parameter identification problems, inverse scattering and electrical impedance tomography.
Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs
Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs write by Frederic Weidling. This book was released on 2019. Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs available in PDF, EPUB and Kindle.
Mathematical and Computational Modeling
Mathematical and Computational Modeling - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematical and Computational Modeling write by Roderick Melnik. This book was released on 2015-05-21. Mathematical and Computational Modeling available in PDF, EPUB and Kindle. Mathematical and Computational Modeling Illustrates the application of mathematical and computational modeling in a variety of disciplines With an emphasis on the interdisciplinary nature of mathematical and computational modeling, Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts features chapters written by well-known, international experts in these fields and presents readers with a host of state-of-theart achievements in the development of mathematical modeling and computational experiment methodology. The book is a valuable guide to the methods, ideas, and tools of applied and computational mathematics as they apply to other disciplines such as the natural and social sciences, engineering, and technology. The book also features: Rigorous mathematical procedures and applications as the driving force behind mathematical innovation and discovery Numerous examples from a wide range of disciplines to emphasize the multidisciplinary application and universality of applied mathematics and mathematical modeling Original results on both fundamental theoretical and applied developments in diverse areas of human knowledge Discussions that promote interdisciplinary interactions between mathematicians, scientists, and engineers Mathematical and Computational Modeling: With Applications in the Natural and Social Sciences, Engineering, and the Arts is an ideal resource for professionals in various areas of mathematical and statistical sciences, modeling and simulation, physics, computer science, engineering, biology and chemistry, and industrial and computational engineering. The book also serves as an excellent textbook for graduate courses in mathematical modeling, applied mathematics, numerical methods, operations research, and optimization.
Inverse Problems for Partial Differential Equations
Inverse Problems for Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Inverse Problems for Partial Differential Equations write by Victor Isakov. This book was released on 2017-02-24. Inverse Problems for Partial Differential Equations available in PDF, EPUB and Kindle. A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.
Inverse Problems and Related Topics
Inverse Problems and Related Topics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Inverse Problems and Related Topics write by Jin Cheng. This book was released on 2020-02-04. Inverse Problems and Related Topics available in PDF, EPUB and Kindle. This volume contains 13 chapters, which are extended versions of the presentations at International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th anniversary. The chapters are authored by world-renowned researchers and rising young talents, and are updated accounts of various aspects of the researches on inverse problems. The volume covers theories of inverse problems for partial differential equations, regularization methods, and related topics from control theory. This book addresses a wide audience of researchers and young post-docs and graduate students who are interested in mathematical sciences as well as mathematics.
