Author: Emma Horton
Publisher: Springer Nature
ISBN: 3031395468
Category : Mathematics
Languages : en
Pages : 278
Book Description
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.
Stochastic Neutron Transport
Author: Emma Horton
Publisher: Springer Nature
ISBN: 3031395468
Category : Mathematics
Languages : en
Pages : 278
Book Description
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.
Publisher: Springer Nature
ISBN: 3031395468
Category : Mathematics
Languages : en
Pages : 278
Book Description
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.
Stochastic Analysis of the Neutron Transport Equation
Author: Emma Horton
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
The Lattice Model Concept of Stochastic Neutron Transport
Author: Herbert Eugene Hungerford
Publisher:
ISBN:
Category : Mathematical models
Languages : en
Pages : 168
Book Description
Publisher:
ISBN:
Category : Mathematical models
Languages : en
Pages : 168
Book Description
On the Stochastic Nonlinear Neutron Transport Equation
Author: M. Mokhtar-Kharroubi
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 27
Book Description
On the Stochastic Formulation and Interpretation of Neutron Transport Equations
Author: Chio-min Yang
Publisher:
ISBN:
Category :
Languages : en
Pages : 216
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 216
Book Description
Mathematical Topics In Neutron Transport Theory: New Aspects
Author: Mustapha Mokhtar Kharroubi
Publisher: World Scientific
ISBN: 981449819X
Category : Science
Languages : en
Pages : 372
Book Description
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.
Publisher: World Scientific
ISBN: 981449819X
Category : Science
Languages : en
Pages : 372
Book Description
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.
Deterministic Methods for Time-dependent Stochastic Neutron Transport
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
A numerical method is presented for solving the time-dependent survival probability equation in general (lD/2D/3D) geometries using the multi group SNmethod. Although this equation was first formulated by Bell in the early 1960's, it has only been applied to stationary systems (for other than idealized point models) until recently, and detailed descriptions of numerical solution techniques are lacking in the literature. This paper presents such a description and applies it to a dynamic system representative of a figurative criticality accident scenario.
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
A numerical method is presented for solving the time-dependent survival probability equation in general (lD/2D/3D) geometries using the multi group SNmethod. Although this equation was first formulated by Bell in the early 1960's, it has only been applied to stationary systems (for other than idealized point models) until recently, and detailed descriptions of numerical solution techniques are lacking in the literature. This paper presents such a description and applies it to a dynamic system representative of a figurative criticality accident scenario.
Mathematical Topics in Neutron Transport Theory
Author: M. Mokhtar-Kharroubi
Publisher: World Scientific
ISBN: 9789810228699
Category : Mathematics
Languages : en
Pages : 372
Book Description
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.
Publisher: World Scientific
ISBN: 9789810228699
Category : Mathematics
Languages : en
Pages : 372
Book Description
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.
A Stochastic/deterministic Method for Transient, Three-dimensional Neutron Transport
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 8
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 8
Book Description
Development and Implementation of Stochastic Neutron Transport Equations and Development and Analysis of Finite Difference and Galerkin Methods for Approximate Solution to Volterra's Population Equation with Diffusion and Noise
Author: Wyatt Duncan Sharp
Publisher:
ISBN:
Category : Finite differences
Languages : en
Pages : 158
Book Description
Publisher:
ISBN:
Category : Finite differences
Languages : en
Pages : 158
Book Description