Numerical Solutions For One Dimensional Stefan Problems
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Numerical Solutions For One Dimensional Stefan Problems
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Author : Jagadishwar R. Tupakula
language : en
Publisher:
Release Date : 2003
Numerical Solutions For One Dimensional Stefan Problems written by Jagadishwar R. Tupakula and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
The Classical Stefan Problem
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Author : S.C. Gupta
language : en
Publisher: Elsevier
Release Date : 2017-07-27
The Classical Stefan Problem written by S.C. Gupta and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-27 with Science categories.
The Classical Stefan Problem: Basic Concepts, Modelling and Analysis with Quasi-Analytical Solutions and Methods, New Edition, provides the fundamental theory, concepts, modeling, and analysis of the physical, mathematical, thermodynamical, and metallurgical properties of classical Stefan and Stefan-like problems as applied to heat transfer problems with 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 in-depth background reading on theorems. Each chapter in this fully revised and updated edition begins with basic concepts and objectives, also including direction on how the subject matter was developed. It contains 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
One Dimensional Stefan Problems
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Author : James M. Hill
language : en
Publisher: Longman Scientific and Technical
Release Date : 1987
One Dimensional Stefan Problems written by James M. Hill and has been published by Longman Scientific and Technical this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
The Solution Of A One Dimensional Stefan Problem
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Author : C. Vuik
language : en
Publisher:
Release Date : 1993
The Solution Of A One Dimensional Stefan Problem written by C. Vuik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Boundary value problems categories.
Numerical Algorithms For The Solution Of A Single Phase One Dimensional Stefan Problem
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Author : Fausto Milinazzo
language : en
Publisher:
Release Date : 1974
Numerical Algorithms For The Solution Of A Single Phase One Dimensional Stefan Problem written by Fausto Milinazzo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Boundary value problems categories.
The Stefan Problem
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Author : L. I. Rubinšteĭn
language : en
Publisher: American Mathematical Soc.
Release Date : 2000-01-25
The Stefan Problem written by L. I. Rubinšteĭn and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-25 with Mathematics categories.
Translations of Mathematical Monographs
A Method For The Numerical Solution Of The One Dimensional Inverse Stefan Problem
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Author : 12 b82
language : de
Publisher:
Release Date : 1982
A Method For The Numerical Solution Of The One Dimensional Inverse Stefan Problem written by 12 b82 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
A Method For The Numerical Solution Of The One Dimensional Inverse Stefan Problem
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Author : Rembert Reemtsen
language : de
Publisher:
Release Date : 1982
A Method For The Numerical Solution Of The One Dimensional Inverse Stefan Problem written by Rembert Reemtsen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
The Classical Stefan Problem
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Author : S.C. Gupta
language : en
Publisher: Elsevier
Release Date : 2003-10-22
The Classical Stefan Problem written by S.C. Gupta and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-22 with Science categories.
This volume emphasises studies related to classical Stefan problems. The term "Stefan problem" is generally used for heat transfer problems with phase-changes such as from the liquid to the solid. Stefan problems have some characteristics that are typical of them, but certain problems arising in fields such as mathematical physics and engineering also exhibit characteristics similar to them. The term ``classical" distinguishes the formulation of these problems from their weak formulation, in which the solution need not possess classical derivatives. Under suitable assumptions, a weak solution could be as good as a classical solution. In hyperbolic Stefan problems, the characteristic features of Stefan problems are present but unlike in Stefan problems, discontinuous solutions are allowed because of the hyperbolic nature of the heat equation. The numerical solutions of inverse Stefan problems, and the analysis of direct Stefan problems are so integrated that it is difficult to discuss one without referring to the other. So no strict line of demarcation can be identified between a classical Stefan problem and other similar problems. On the other hand, including every related problem in the domain of classical Stefan problem would require several volumes for their description. A suitable compromise has to be made. The basic concepts, modelling, and analysis of the classical Stefan problems have been extensively investigated and there seems to be a need to report the results at one place. This book attempts to answer that need.
Inverse Stefan Problems
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Author : N.L. Gol'dman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Inverse Stefan Problems written by N.L. Gol'dman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.