Linear And Nonlinear Inverse Problems With Practical Applications
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Linear And Nonlinear Inverse Problems With Practical Applications
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Author : Jennifer L. Mueller
language : en
Publisher: SIAM
Release Date : 2012-11-30
Linear And Nonlinear Inverse Problems With Practical Applications written by Jennifer L. Mueller and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-30 with Mathematics categories.
Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.
Linear And Nonlinear Inverse Problems With Practical Applications
DOWNLOAD
Author : Jennifer L. Mueller
language : en
Publisher: SIAM
Release Date : 2012-11-30
Linear And Nonlinear Inverse Problems With Practical Applications written by Jennifer L. Mueller and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-30 with Mathematics categories.
Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.
Material Integrated Intelligent Systems
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Author : Stefan Bosse
language : en
Publisher: John Wiley & Sons
Release Date : 2017-11-22
Material Integrated Intelligent Systems written by Stefan Bosse and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Technology & Engineering categories.
Combining different perspectives from materials science, engineering, and computer science, this reference provides a unified view of the various aspects necessary for the successful realization of intelligent systems. The editors and authors are from academia and research institutions with close ties to industry, and are thus able to offer first-hand information here. They adopt a unique, three-tiered approach such that readers can gain basic, intermediate, and advanced topical knowledge. The technology section of the book is divided into chapters covering the basics of sensor integration in materials, the challenges associated with this approach, data processing, evaluation, and validation, as well as methods for achieving an autonomous energy supply. The applications part then goes on to showcase typical scenarios where material-integrated intelligent systems are already in use, such as for structural health monitoring and smart textiles.
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes
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Author : Boyan Sirakov
language : en
Publisher: World Scientific
Release Date : 2019-02-27
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes written by Boyan Sirakov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-27 with Mathematics categories.
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Computing Technologies And Applied Mathematics
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Author : Arthur Gibadullin
language : en
Publisher: Springer Nature
Release Date : 2025-07-09
Computing Technologies And Applied Mathematics written by Arthur Gibadullin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-09 with Mathematics categories.
This proceedings volume convenes revised, selected works presented at the 3rd International Seminar on Computing Technologies and Applied Mathematics (CTAM2024), held at Komsomolsk-na-Amure State University, Russia, from October 7 to 11, 2024. The seminar brought together a diverse group of international experts and young scientists from Germany, China, South Korea, Uzbekistan, and Russia to exchange the latest results and original ideas on the use of computing technologies and applied mathematics tools in both fundamental and applied research. Topics covered in this volume include the development of theoretical foundations, methods, and algorithms for implementing mathematical and computational models. The subjects ranged from health to logistics, with many devoted to algorithm optimization. Industrial applications are also covered, with studies of digital twins and quantum and evolutionary algorithms. By bridging academia and industry, this volume can benefit graduate students, experienced researchers, and industry practitioners alike, fostering both practical implementations in real-world scenarios and innovative avenues of applied research.
Mathematical Methods In Image Processing And Inverse Problems
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Author : Xue-Cheng Tai
language : en
Publisher: Springer Nature
Release Date : 2021-09-25
Mathematical Methods In Image Processing And Inverse Problems written by Xue-Cheng Tai and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-25 with Mathematics categories.
This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21–24, 2018. The book was dedicated to Professor Raymond Chan on the occasion of his 60th birthday. The contents of the book cover topics including image reconstruction, image segmentation, image registration, inverse problems and so on. Deep learning, PDE, statistical theory based research methods and techniques were discussed. The state-of-the-art developments on mathematical analysis, advanced modeling, efficient algorithm and applications were presented. The collected papers in this book also give new research trends in deep learning and optimization for imaging science. It should be a good reference for researchers working on related problems, as well as for researchers working on computer vision and visualization, inverse problems, image processing and medical imaging.
Inverse Problems Tikhonov Theory And Algorithms
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Author : Kazufumi Ito
language : en
Publisher: World Scientific
Release Date : 2014-08-28
Inverse Problems Tikhonov Theory And Algorithms written by Kazufumi Ito and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-28 with Mathematics categories.
Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a valuable contribution to the highly topical field of computational inverse problems. Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail. The mathematical theory focuses on nonsmooth Tikhonov regularization for linear and nonlinear inverse problems. The computational methods include nonsmooth optimization algorithms, direct inversion methods and uncertainty quantification via Bayesian inference.The book offers a comprehensive treatment of modern techniques, and seamlessly blends regularization theory with computational methods, which is essential for developing accurate and efficient inversion algorithms for many practical inverse problems.It demonstrates many current developments in the field of computational inversion, such as value function calculus, augmented Tikhonov regularization, multi-parameter Tikhonov regularization, semismooth Newton method, direct sampling method, uncertainty quantification and approximate Bayesian inference. It is written for graduate students and researchers in mathematics, natural science and engineering.
Advances In Underwater Acoustics Structural Acoustics And Computational Methodologies In 4 Volumes
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Author : Sean F Wu
language : en
Publisher: World Scientific
Release Date : 2025-04-29
Advances In Underwater Acoustics Structural Acoustics And Computational Methodologies In 4 Volumes written by Sean F Wu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-29 with Technology & Engineering categories.
This set of volumes encompasses the study of acoustics to diverse environments ranging from underwater and marine environments, to structural and civil engineering, computational models and aerospace engineering. Each volume comprises peer-reviewed publications in the related field of acoustics from the past decade, arranged such as to review the existing literature, examine new methodologies and then explore novel applications of pioneering acoustic principles. With contributions by eminent acoustics researchers, this set holds key insights for fellow acoustics researchers and engineers of any field impacted by acoustic phenomena.Volume 1's review chapters summarise theories like geoacoustic inversion as well as criticism of the Biot theory of propagation in fluid-saturated porous solids, while the new methodologies shown range from an efficient and stable coupled-mode solution to a cell-based smoothed radial point interpolation method. The book concludes with promising applications like experimental evidence of horizontal refraction and bottom attenuation coefficient inversion.Volume 2 reviews topics including radiation boundary conditions for the Helmholtz equation, and analytical interpretation of the early literature on the theory of vibrations. The methodologies range from coupled boundary element and energy flow method as well as sound radiation of a line source. The work concludes with promising applications like Lamb Waves in a poroelastic plate and experimental validations of reconstructed excitation forces acting inside a solid enclosure.Volume 3 provides summaries of theories including the benchmark study on eigenfrequencies of fluid-loaded structures, and the Burton and Miller method, while the new methodologies presented range from a coupled boundary element and energy flow method, to an efficient approach to the simulation of acoustic radiation. The volume concludes with promising applications like a comparison of transient infinite elements and transient Kirchhoff integral methods, as well as a fast multi-frequency iterative acoustic boundary element method.Volume 4 depicts the context of conventional methodologies including short-wave components and Galbrun's equation, while its new methodologies range from radiation and outflow boundary conditions for direct computation of acoustic and flow disturbances to the effect of airfoil shape on trailing edge noise. The collection concludes with promising applications like helicopter noise predictions and conservative source interpolation methods for aeroacoustics.
The Radon Transform And Medical Imaging
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Author : Peter Kuchment
language : en
Publisher: SIAM
Release Date : 2014-01-01
The Radon Transform And Medical Imaging written by Peter Kuchment and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-01 with Computers categories.
This book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods. For nonexperts, the author provides appendices that cover background information on notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional information sources on medical imaging for further study.
Hereditary Models Of Dynamic Processes In Geospheres
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Author : Roman Parovik
language : en
Publisher: Springer Nature
Release Date : 2024-12-02
Hereditary Models Of Dynamic Processes In Geospheres written by Roman Parovik and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-02 with Mathematics categories.
The book is aimed at developing and analyzing fundamentally new mathematical models of dynamicprocesses in the Earth's geospheres, taking into account heredity, in order to detect (predict) natural and manmadethreats. It is known that many natural, technical and social systems are characterized by the property ofheredity (heredity or memory), when the actual dynamic characteristics of the system are determined by itsentire prehistory. Mathematical formalization of such properties in mathematical models is usually ensuredby the introduction of integral terms (memory functionals) with difference kernels. Therefore, taking intoaccount the effects of heredity in dynamic processes and systems also determines the relevance of the study. The topic is devoted to the study of various dynamic processes in geospheres using mathematicalmodeling. Dynamic processes discussed in the book: geomagnetic dynamo, geoacoustic emission,microseismic vibrations, deformation processes, solar activity, seismic activity, processes of transferand accumulation of radon concentration. The book was the first to examine some dynamic processes that have hereditary effects. Researchmethods are based on the following sections of mathematics: mathematical and functional analysis,equations of mathematical physics, differential equations and their systems, integro-differentialequations, fractional calculus, vector analysis, computational mathematics, numerical methods. Alsomethods of object-oriented programming, parallel programming. It should be noted that the research used the principle of the model-algorithm-program triad.Therefore, one of the chapters of the book is devoted to computational algorithms with thepossibility of parallelization. The reader will become familiar with new models of geodynamic processes with heredity andapproaches to their study. The presented numerical algorithms can be reproduced or applied to othersimilar processes. The book will provide comprehensive information about the processes beingstudied and methods of their research, all necessary references will be provided, including thosedefining the current state of affairs in this issue.