Mathematical Topics In Neutron Transport Theory

Author : Mustapha Mokhtar Kharroubi
Publisher : World Scientific
ISBN 13 : 981449819X
Total Pages : 372 pages
Book Rating : 4.97/5 ( download)

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Download or read book Mathematical Topics In Neutron Transport Theory: New Aspects written by Mustapha Mokhtar Kharroubi and published by World Scientific. This book was released on 1997-12-18 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some recent mathematical developments about neutron transport equations. Several different topics are dealt with including regularity of velocity averages, spectral analysis of transport operators, inverse problems, nonlinear problems arising in the stochastic theory of neutron chain fissions, compactness properties of perturbed of c0-semigroups in Banach spaces with applications to transport theory, Miyadera perturbations of c0-semigroups in Banach spaces with applications to singular transport equations, a thorough analysis of the leading eigenelements of transport operators and their approximation, scattering theory. Besides the new problems addressed in this book a unification and extension of the classical spectral analysis of neutron transport equations is given.

Author : M. Mokhtar-Kharroubi
Publisher : World Scientific
ISBN 13 : 9789810228699
Total Pages : 372 pages
Book Rating : 4.94/5 ( download)

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Download or read book Mathematical Topics in Neutron Transport Theory written by M. Mokhtar-Kharroubi and published by World Scientific. This book was released on 1997 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents some recent mathematical developments about neutron transport equations. Several different topics are dealt with including regularity of velocity averages, spectral analysis of transport operators, inverse problems, nonlinear problems arising in the stochastic theory of neutron chain fissions, compactness properties of perturbed of 0-semigroups in Banach spaces with applications to transport theory, Miyadera perturbations of c0-semigroups in Banach spaces with applications to singular transport equations, a thorough analysis of the leading eigenelements of transport operators and their approximation, scattering theory. Besides the new problems addressed in this book a unification and extension of the classical spectral analysis of neutron transport equations is given.

Author : J. H. Tait
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.53/5 ( download)

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Download or read book An Introduction to Neutron Transport Theory written by J. H. Tait and published by . This book was released on 1965 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : P.M. Blackall
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.57/5 ( download)

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Download or read book Mathematical methods in neutron transport theory written by P.M. Blackall and published by . This book was released on 1956 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ramadan M. Kuridan
Publisher : Springer Nature
ISBN 13 : 3031269322
Total Pages : 284 pages
Book Rating : 4.25/5 ( download)

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Download or read book Neutron Transport written by Ramadan M. Kuridan and published by Springer Nature. This book was released on 2023-10-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a thorough explanation of the physical concepts and presents the general theory of different forms through approximations of the neutron transport processes in nuclear reactors and emphasize the numerical computing methods that lead to the prediction of neutron behavior. Detailed derivations and thorough discussions are the prominent features of this book unlike the brevity and conciseness which are the characteristic of most available textbooks on the subject where students find them difficult to follow. This conclusion has been reached from the experience gained through decades of teaching. The topics covered in this book are suitable for senior undergraduate and graduate students in the fields of nuclear engineering and physics. Other engineering and science students may find the construction and methodology of tackling problems as presented in this book appealing from which they can benefit in solving other problems numerically. The book provides access to a one dimensional, two energy group neutron diffusion program including a user manual, examples, and test problems for student practice. An option of a Matlab user interface is also available.

Author : Milan Hanus
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783844301212
Total Pages : 156 pages
Book Rating : 4.16/5 ( download)

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Download or read book Mathematical Modeling of Neutron Transport written by Milan Hanus and published by LAP Lambert Academic Publishing. This book was released on 2011-02 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent renaissance of nuclear industry came along with a renewed interest in basic research and development activities in the field. Aiming at one of the most fundamental topics, this book takes a look at neutron transport from the viewpoint of computational mathematics. Mathematical basis of the theory is established first, including the rigorous setting of two main problems of steady-state neutron transport - the core criticality and fixed source calculations. Discretization of the governing equation with respect to energy, direction of motion and space is described next, leading to a numerical method readily programmable on a computer. An important factor guiding the selection of presented methods has been their simple applicability to enhancing existing diffusion codes which, may no longer be suitable for solving current problems with more significant transport effects. The multigroup SP3 finite volume method is derived in detail and practically demonstrated on numerical benchmarks at the end. The book may be very useful to researchers facing the task to upgrade a legacy diffusion code, but may also well serve as a concise overview of modern transport-theoretical techniques.

Author : Yousry Azmy
Publisher : Springer Science & Business Media
ISBN 13 : 9048134110
Total Pages : 476 pages
Book Rating : 4.13/5 ( download)

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Download or read book Nuclear Computational Science written by Yousry Azmy and published by Springer Science & Business Media. This book was released on 2010-04-15 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear engineering has undergone extensive progress over the years. In the past century, colossal developments have been made and with specific reference to the mathematical theory and computational science underlying this discipline, advances in areas such as high-order discretization methods, Krylov Methods and Iteration Acceleration have steadily grown. Nuclear Computational Science: A Century in Review addresses these topics and many more; topics which hold special ties to the first half of the century, and topics focused around the unique combination of nuclear engineering, computational science and mathematical theory. Comprising eight chapters, Nuclear Computational Science: A Century in Review incorporates a number of carefully selected issues representing a variety of problems, providing the reader with a wealth of information in both a clear and concise manner. The comprehensive nature of the coverage and the stature of the contributing authors combine to make this a unique landmark publication. Targeting the medium to advanced level academic, this book will appeal to researchers and students with an interest in the progression of mathematical theory and its application to nuclear computational science.

Author : Emma Horton
Publisher : Springer Nature
ISBN 13 : 3031395468
Total Pages : 278 pages
Book Rating : 4.68/5 ( download)

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Download or read book Stochastic Neutron Transport written by Emma Horton and published by Springer Nature. This book was released on 2023-12-17 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph highlights the connection between the theory of neutron transport and the theory of non-local branching processes. By detailing this frequently overlooked relationship, the authors provide readers an entry point into several active areas, particularly applications related to general radiation transport. Cutting-edge research published in recent years is collected here for convenient reference. Organized into two parts, the first offers a modern perspective on the relationship between the neutron branching process (NBP) and the neutron transport equation (NTE), as well as some of the core results concerning the growth and spread of mass of the NBP. The second part generalizes some of the theory put forward in the first, offering proofs in a broader context in order to show why NBPs are as malleable as they appear to be. Stochastic Neutron Transport will be a valuable resource for probabilists, and may also be of interest to numerical analysts and engineers in the field of nuclear research.

Author : Gabriel Oyibo
Publisher : Nova Publishers
ISBN 13 : 9781590335185
Total Pages : 182 pages
Book Rating : 4.8X/5 ( download)

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Download or read book Advances in Mathematics Research written by Gabriel Oyibo and published by Nova Publishers. This book was released on 2003-10-17 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics has been behind many of humanity's most significant advances in fields as varied as genome sequencing, medical science, space exploration, and computer technology. But those breakthroughs were yesterday. Where will mathematicians lead us tomorrow and can we help shape that destiny? This book assembles carefully selected articles highlighting and explaining cutting-edge research and scholarship in mathematics. Contents: Preface; Solvability of Quasilinear Elliptic Second Order Differential Equations in Rn without Condition at Infinity; Recent Topics on a Class of Nonlinear Integrodifferential Equations of Physical Significance'; Nonparametric Estimation with Censored Observations; Normalisers of Groups Commensurable with PSL2(Z); Spectral Analysis of a Class of Multigroup Neutron Transport Operators in Slab Geometry; Extremum of a Nonlocal Functional Depending on Higher Order Derivatives of the Unknown Function; On Quantum Conditional Probability Spaces; Index.

Author : Jacek Banasiak
Publisher : Springer
ISBN 13 : 3319113224
Total Pages : 505 pages
Book Rating : 4.27/5 ( download)

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Download or read book Evolutionary Equations with Applications in Natural Sciences written by Jacek Banasiak and published by Springer. This book was released on 2014-11-07 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the unifying theme of abstract evolutionary equations, both linear and nonlinear, in a complex environment, the book presents a multidisciplinary blend of topics, spanning the fields of theoretical and applied functional analysis, partial differential equations, probability theory and numerical analysis applied to various models coming from theoretical physics, biology, engineering and complexity theory. Truly unique features of the book are: the first simultaneous presentation of two complementary approaches to fragmentation and coagulation problems, by weak compactness methods and by using semigroup techniques, comprehensive exposition of probabilistic methods of analysis of long term dynamics of dynamical systems, semigroup analysis of biological problems and cutting edge pattern formation theory. The book will appeal to postgraduate students and researchers specializing in applications of mathematics to problems arising in natural sciences and engineering.