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On The Inverse Multiphase Stefan Problem
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Book Synopsis Inverse Stefan Problems by : N.L. Gol'dman
Download or read book Inverse Stefan Problems written by N.L. Gol'dman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the theory and methods of solving inverse Stefan problems for quasilinear parabolic equations in regions with free boundaries are developed. The study of this new class of ill-posed problems is motivated by the needs of the mod eling and control of nonlinear processes with phase transitions in thermophysics and mechanics of continuous media. Inverse Stefan problems are important for the perfection of technologies both in high temperature processes (e.g., metallurgy, the aircraft industry, astronautics and power engineering) and in hydrology, exploitation of oil-gas fields, etc. The proposed book will complete a gap in these subjects in the preceding re searches of ill-posed problems. It contains the new theoretical and applied studies of a wide class of inverse Stefan problems. The statements of such problems on the determination of boundary functions and coefficients of the equation are considered for different types of additional information about their solution. The variational method of obtaining stable approximate solutions is proposed and established. It is implemented by an efficient computational scheme of descriptive regularization. This algorithm utilizes a priori knowledge of the qualitative structure of the sought solution and ensures a substantial saving in computational costs. It is tested on model and applied problems in nonlinear thermophysics. In particular, the results of calculations for important applications in continuous casting of ingots and in the melting of a plate with the help of laser technology are presented.
Book Synopsis The Classical Stefan Problem by : S.C. Gupta
Download or read book The Classical Stefan Problem written by S.C. Gupta and published by Elsevier. This book was released on 2017-10-13 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides fundamental theory, concepts, modelling and analysis of the physical, mathematical, thermodynamical and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems involving phase-changes, such as from liquid to solid. This self-contained work reports and derives the results from tensor analysis, differential geometry, non-equilibrium thermodynamics, physics and functional analysis, and is thoroughly enriched with many appropriate references for an in-depth background reading on theorems. This new edition includes more than 400 pages of new material on quasi-analytical solutions and methods of classical Stefan and Stefan-like problems. The book aims to bridge the gap between the theoretical and solution aspects of the afore-mentioned problems. - Provides both the phenomenology and mathematics of Stefan problems - Bridges physics and mathematics in a concrete and readable manner - Presents well-organized chapters that start with proper definitions followed by explanations and references for further reading - Includes both numerical and quasi-analytical solutions and methods of classical Stefan and Stefan-like problems
Book Synopsis Regularization of Ill-Posed Problems by Iteration Methods by : S.F. Gilyazov
Download or read book Regularization of Ill-Posed Problems by Iteration Methods written by S.F. Gilyazov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.) complemented by the stopping rule depending on level of errors in input data. They are investigated for solving linear and nonlinear operator equations in Hilbert spaces. Great attention is given to the choice of iteration index as the regularization parameter and to estimates of errors of approximate solutions. Stabilizing properties such as smoothness and shape constraints imposed on the solution are used. On the basis of these investigations, we propose and establish efficient regularization algorithms for stable numerical solution of a wide class of ill-posed problems. In particular, descriptive regularization algorithms, utilizing a priori information about the qualitative behavior of the sought solution and ensuring a substantial saving in computational costs, are considered for model and applied problems in nonlinear thermophysics. The results of calculations for important applications in various technical fields (a continuous casting, the treatment of materials and perfection of heat-protective systems using laser and composite technologies) are given.
Book Synopsis Advances in Inverse Problems for Partial Differential Equations by : Dinh-Liem Nguyen
Download or read book Advances in Inverse Problems for Partial Differential Equations written by Dinh-Liem Nguyen and published by American Mathematical Society. This book was released on 2023-04-12 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of two AMS Special Sessions “Recent Developments on Analysis and Computation for Inverse Problems for PDEs,” virtually held on March 13–14, 2021, and “Recent Advances in Inverse Problems for Partial Differential Equations,” virtually held on October 23–24, 2021. The papers in this volume focus on new results on numerical methods for various inverse problems arising in electrical impedance tomography, inverse scattering in radar and optics problems, reconstruction of initial conditions, control of acoustic fields, and stock price forecasting. The authors studied iterative and non-iterative approaches such as optimization-based, globally convergent, sampling, and machine learning-based methods. The volume provides an interesting source on advances in computational inverse problems for partial differential equations.
Book Synopsis Modeling Multiphase Materials Processes by : Manabu Iguchi
Download or read book Modeling Multiphase Materials Processes written by Manabu Iguchi and published by Springer Science & Business Media. This book was released on 2010-11-10 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modeling Multiphase Materials Processes: Gas-Liquid Systems describes the methodology and application of physical and mathematical modeling to multi-phase flow phenomena in materials processing. The book focuses on systems involving gas-liquid interaction, the most prevalent in current metallurgical processes. The performance characteristics of these processes are largely dependent on transport phenomena. This volume covers the inherent characteristics that complicate the modeling of transport phenomena in such systems, including complex multiphase structure, intense turbulence, opacity of fluid, high temperature, coupled heat and mass transfer, chemical reactions in some cases, and poor wettability of the reactor walls. Also discussed are: solutions based on experimental and numerical modeling of bubbling jet systems, recent advances in the modeling of nanoscale multi-phase phenomena and multiphase flows in micro-scale and nano-scale channels and reactors. Modeling Multiphase Materials Processes: Gas-Liquid Systems will prove a valuable reference for researchers and engineers working in mathematical modeling and materials processing.
Book Synopsis Heat Transfer in Single and Multiphase Systems by : Greg F. Naterer
Download or read book Heat Transfer in Single and Multiphase Systems written by Greg F. Naterer and published by CRC Press. This book was released on 2002-08-29 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extensively revised and thoroughly updated, this popular text de-emphasizes high level mathematics in favor of effective, accurate modeling. Real-world examples amplify the theory and show how to use derived equations to model physical problems. Exercises that parallel the examples build readers' confidence and prepare them to confront the more com
Download or read book Applied mechanics reviews written by and published by . This book was released on 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Free Boundary Problems by : A. Bossavit
Download or read book Free Boundary Problems written by A. Bossavit and published by . This book was released on 1985 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Federal Geothermal Research Program Update, Fiscal Year 1995 by : Geothermal Research Program (U.S.)
Download or read book Federal Geothermal Research Program Update, Fiscal Year 1995 written by Geothermal Research Program (U.S.) and published by . This book was released on 1996 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Free Boundary Problems by : Antonio Fasano
Download or read book Free Boundary Problems written by Antonio Fasano and published by . This book was released on 1983 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Immersed Interface Method by : Zhilin Li
Download or read book The Immersed Interface Method written by Zhilin Li and published by SIAM. This book was released on 2006-07-01 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book will be a useful resource for mathematicians, numerical analysts, engineers, graduate students, and anyone who uses numerical methods to solve computational problems, particularly problems with fixed and moving interfaces, free boundary problems, and problems on regular domains."--BOOK JACKET.
Book Synopsis High-Performance Computing Systems and Technologies in Scientific Research, Automation of Control and Production by : Vladimir Jordan
Download or read book High-Performance Computing Systems and Technologies in Scientific Research, Automation of Control and Production written by Vladimir Jordan and published by Springer Nature. This book was released on 2021-01-15 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes selected revised and extended papers from the 10th International Conference on High-Performance Computing Systems and Technologies in Scientific Research, Automation of Control and Production, HPCST 2020, Barnaul, Russia, in May 2020. Due to the COVID-19 pancemic the conference was partly held in virtual mode. The 14 full papers presented in this volume were thoroughly reviewed and selected form 51 submissions. The papers are organized in topical sections on hardware for high-performance computing and its applications; information technologies and computer simulation of physical phenomena.
Book Synopsis Entropy Based Design and Analysis of Fluids Engineering Systems by : Greg F. Naterer
Download or read book Entropy Based Design and Analysis of Fluids Engineering Systems written by Greg F. Naterer and published by CRC Press. This book was released on 2008-02-27 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: From engineering fluid mechanics to power systems, information coding theory and other fields, entropy is key to maximizing performance in engineering systems. It serves a vital role in achieving the upper limits of efficiency of industrial processes and quality of manufactured products. Entropy based design (EBD) can shed new light on various flow
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Russian Mathematical Surveys written by and published by . This book was released on 1985 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Previews of Heat and Mass Transfer by :
Download or read book Previews of Heat and Mass Transfer written by and published by . This book was released on 1999 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
