Numerical methods for solving inverse problems of mathematical physics

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The book "Numerical methods of solving inverse problems of mathematical physics", written by well-known scientists A. A. Samarsky and P. N. Vabishchevich is a unique manual that immerses the reader in the world of complex mathematical models and their practical application. This work will be of interest not only to specialists in the field of mathematical physics, but also to students, graduate students, as well as everyone who is passionate about solving problems related to inverse problems. Reverse problems of mathematical physics are those problems where the results are known, and it is required to determine the initial conditions or parameters of the system. For example, in medicine, this may be the task of restoring images of internal organs from data obtained using various imaging techniques. In engineering, determining the properties of materials based on their response to external influences. The book of Samarsky and Vabishevich offers the reader a detailed guide to numerical methods that allow you to effectively solve such problems. The style of the authors is distinguished by clarity and accessibility, which makes complex concepts more understandable to a wide audience. They use many examples and illustrations, which allows the reader not only to assimilate the theoretical material, but also to see its practical application. The book is saturated with algorithms that can be used in practice, and also contains an extensive section with tasks and solutions, making it an excellent tutorial. The topics raised in the book cover a wide range of issues, such as regularization techniques, optimization, data processing, and mathematical modeling. The authors consider in detail various approaches to solving inverse problems, including both classical and modern numerical methods. This makes the book especially valuable for those who want to deepen their knowledge of numerical methods and their application to real-world problems. The book "Numerical methods of solving inverse problems of mathematical physics" will be of interest not only to specialists in the field of mathematics and physics, but also to engineers working in various industries where analysis and interpretation of data is required. It will also be a useful resource for undergraduate and graduate students studying mathematical physics, applied mathematics, and related disciplines. If you are looking for literature that will help you understand complex mathematical concepts and teach you how to put them into practice, this book will be an excellent choice. It can serve as both a training manual and a reference for professionals working in the field of research and development of new technologies. A. A. Samarsky and P. N. Vabishchevic is the authors whose works have already proven themselves in the scientific community. Their previous publications also deal with numerical methods and mathematical modeling, which emphasizes their expertise in this field. By reading this book, you will not only gain new knowledge, but also be able to evaluate the contribution of authors to the development of science. In conclusion, Numerical Methods for Solving Inverse Problems of Mathematical Physics is not just a book, but a whole world that opens doors to complex and fascinating aspects of mathematical physics. It is waiting for its readers who are ready to immerse themselves in the study of numerical methods and their application in solving real problems. If you aspire to new knowledge and want to expand your horizons, this book will become your reliable companion in the world of science.
LF/705500520/R
Data sheet
- Name of the Author
- Вабищевич П.Н.
Самарский А.А. - Language
- Russian
- ISBN
- 9785382009902
- Release date
- 2009