Free Download Yu Ya Belov, "Inverse Problems for Partial Differential Equations (Inverse and Ill-Posed Problems) "
English | ISBN: 9067643580 | 2002 | 219 pages | PDF | 4 MB
This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The problems are studied with the Cauchy data and equations in which the Fourier transform with respect to the chosen variable is supposed to occur. Differential properties of the solutions for the original direct problems and their behavior under great values of time are studied on the basis of solution properties for direct problems. The identification problems with one or two unknown coefficients are also investigated. For initial boundary value conditions linear and nonlinear parabolic equations are studied.

Free Download Integral and Inverse Reinforcement Learning for Optimal Control Systems and Games
English | 2024 | ISBN: 3031452518 | 287 Pages | PDF EPUB (True) | 28 MB
Integral and Inverse Reinforcement Learning for Optimal Control Systems and Games develops its specific learning techniques, motivated by application to autonomous driving and microgrid systems, with breadth and depth: integral reinforcement learning (RL) achieves model-free control without system estimation compared with system identification methods and their inevitable estimation errors; novel inverse RL methods fill a gap that will help them to attract readers interested in finding data-driven model-free solutions for inverse optimization and optimal control, imitation learning and autonomous driving among other areas.

Free Download Kazufumi Ito, "INVERSE PROBLEMS: TIKHONOV THEORY AND ALGORITHMS "
English | ISBN: 9814596191 | 2014 | 332 pages | PDF | 3 MB
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.

Free Download Additive and Advanced Manufacturing, Inverse Problem Methodologies and Machine Learning and Data Science, Volume 4
English | 2024 | ISBN: 3031504739 | 109 Pages | PDF EPUB (True) | 50 MB
Additive and Advanced Manufacturing, Inverse Problem Methodologies and Machine Learning and Data Science, Volume 4 of the Proceedings of the 2023 SEM Annual Conference & Exposition on Experimental and Applied Mechanics, the fourth volume of five from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on a wide range of topics and includes papers in the following general technical research areas:

Free Download Progress in Inverse Spectral Geometry by Stig I. Andersson, Michel L. Lapidus
English | PDF | 1997 | 202 Pages | ISBN : 376435755X | 26 MB
most polynomial growth on every half-space Re (z) ::::: c. Moreover, Op(t) depends holomorphically on t for Re t > O. General references for much of the material on the derivation of spectral functions, asymptotic expansions and analytic properties of spectral functions are [A-P-S] and [Sh], especially Chapter 2. To study the spectral functions and their relation to the geometry and topology of X, one could, for example, take the natural associated parabolic problem as a starting point. That is, consider the 'heat equation': (%t + p) u(x, t) = 0 { u(x,O) = Uo(x), tP which is solved by means of the (heat) semi group V(t) = e- ; namely, u(·, t) = V(t)uoU· Assuming that V(t) is of trace class (which is guaranteed, for instance, if P has a positive principal symbol), it has a Schwartz kernel K E COO(X x X x Rt,E* ®E), locally given by 00 K(x,y; t) = L>-IAk(~k ® 'Pk)(X,y), k=O for a complete set of orthonormal eigensections 'Pk E COO(E). Taking the trace, we then obtain: 00 tA Op(t) = trace(V(t)) = 2::>- k. k=O Now, using, e. g. , the Dunford calculus formula (where C is a suitable curve around a(P)) as a starting point and the standard for malism of pseudodifferential operators, one easily derives asymptotic expansions for the spectral functions, in this case for Op.

Free Download Inverse Problems in Global Flow Diagnostics by Tianshu Liu , Zemin Cai
English | EPUB (True) | 2023 (2024 Edition) | 342 Pages | ISBN : 3031424735 | 117.4 MB
This book describes unified image-based measurement methods (theories, numerical methods, and algorithms) to determine the important physical quantities of complex flows in engineering and natural systems, including velocity, pressure, temperature, heat transfer, and skin friction. It presents a systematical study of the inverse problems in global flow diagnostics in a unified framework of the variational formulations. The authors further illustrate the main physical quantities in fluid mechanics, including velocity, pressure, skin friction and surface heat flux, extracted from flow visualization images obtained in experiments and observations. The developed methods are applicable in various image-based flow measurements in diverse disciplines ranging from fluid mechanics/aerodynamics to plenary sciences.

Free Download Computational Intelligence Applied to Inverse Problems in Radiative Transfer
English | 2023 | ISBN: 3031435435 | 258 Pages | PDF EPUB (True) | 15 MB
This book offers a careful selection of studies in optimization techniques based on artificial intelligence, applied to inverse problems in radiative transfer. In this book, the reader will find an in-depth exploration of heuristic optimization methods, each meticulously described and accompanied by historical context and natural process analogies.

Free Download Practical Inverse Problems and Their Prospects: Proceedings of PIPTP
English | 2023 | ISBN: 9819924073 | 431 Pages | PDF EPUB (True) | 62 MB
This book comprises select proceedings of the workshop "Practical inverse problems and their prospects" held online by zoom, from Mar 2nd to Mar. 4th, 2022, supported by Institute of Mathematics for Industry, Kyushu University focusing on cutting-edge research carried out in the areas of practical inverse problems based on industry-academia and interdisciplinary collaborations.

Free Download Control and Inverse Problems
English | 2023 | ISBN: 3031356748 | 273 Pages | PDF EPUB (True) | 33 MB
This volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school "Control & Inverse Problems" held in Monastir, Tunisia in May 2022. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as:

Free Download Fundamental Maths–Direct and Inverse Proportion
Published 12/2023
Created by Dhumil Javeri
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz, 2 Ch
Genre: eLearning | Language: English | Duration: 12 Lectures ( 58m ) | Size: 1.2 GB