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Book Numerical Methods for Solving the Reactor Kinetics Equations

Download or read book Numerical Methods for Solving the Reactor Kinetics Equations written by John Joseph Szeligowski and published by . This book was released on 1966 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Methods for the Reactor Kinetics Equations

Download or read book Numerical Methods for the Reactor Kinetics Equations written by and published by . This book was released on 1974 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Methods of Reactor Analysis

Download or read book Numerical Methods of Reactor Analysis written by Melville Jr. Clark and published by Elsevier. This book was released on 2012-12-02 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nuclear Science and Technology, Volume 3: Numerical Methods of Reactor Analysis presents the numerical analysis frequently used in the nuclear reactor field. This book discusses the numerical approximation for the multigroup diffusion method, which results in simple algebraic equations. Organized into six chapters, this volume starts with an overview of the simplified formulation of linear algebra by defining the matrices and operations with matrices. This text then discusses the properties of special matrices and reviews the elementary properties of finite difference equations. Other chapters consider a variety of methods of obtaining numerical solutions to the approximating equations. The final chapter deals with Monte Carlo method, which is a statistical method for solving statistical or deterministic problems. This book is a valuable resource for nuclear engineers. Students at the graduate level who had an introductory course in reactor physics and a basic course in differential equations will also find this book useful.

Book IREKIN

Download or read book IREKIN written by R. J. Wagner and published by . This book was released on 1966 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Numerical Solution of the Space time Reactor Kinetics Equations Using an Alternating Direction Explicit Procedure

Download or read book The Numerical Solution of the Space time Reactor Kinetics Equations Using an Alternating Direction Explicit Procedure written by Shrinivas Shankar Iyer and published by . This book was released on 1969 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Methods in the Theory of Neutron Transport

Download or read book Numerical Methods in the Theory of Neutron Transport written by Guriĭ Ivanovich Marchuk and published by Harwood Academic Publishers. This book was released on 1986 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Solution of the One group Space independent Reactor Kinetics Equations for Neutron Density Given the Excess Reactivity

Download or read book Numerical Solution of the One group Space independent Reactor Kinetics Equations for Neutron Density Given the Excess Reactivity written by J. J. Kaganove and published by . This book was released on 1960 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advantages and shortcomings of the codes currently in use at Argonne (RE-13 and RE-129) are discussed. A new method of solution, which has increased accuracy, stability for exceptionally large integration intervals, and a procedure for automatically changing the integration interval as the nature of the problem changes, is developed.

Book Numerical Methods for Nuclear Reactor Calculations

Download or read book Numerical Methods for Nuclear Reactor Calculations written by Guriĭ Ivanovich Marchuk and published by . This book was released on 1959 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Mathematical methods in Nuclear reactor Dynamics

Download or read book Mathematical methods in Nuclear reactor Dynamics written by Ziya Akcasuh and published by Elsevier. This book was released on 2012-12-02 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Methods in Nuclear Reactor Dynamics covers the practical and theoretical aspects of point-reactor kinetics and linear and nonlinear reactor dynamics. The book, which is a result of the lectures given at the University of Michigan, is composed of seven chapters. The opening chapter of the book describes various physical phenomena influencing the temporal behavior of neutrons to provide insights into the physics of reactor dynamics and the interrelationships between various diverse phenomena. The text then presents a set of equations, called point kinetic equation, which describes the time behavior of the total power generated in the medium. The book also provides a short discussion on Gyftopoulos modification and Becker’s formulation. The next chapters explore the exact methods for solving the feedback-free point kinetic equations for a number of reactivity insertions and the validity of the various approximate methods of solution. The book also examines the derivation of models for a certain reactor type and briefly discusses the validity of these models in certain cases against experimental data. A chapter focuses on a concise presentation of the stability theory of linear systems with feedback. Lastly, the concepts of stability in nonlinear reactor systems and the criteria for asymptotic stability in the large as well as in a finite domain of initial disturbances are covered in the concluding chapter. The text is an ideal source for nuclear engineers and for those who have adequate background in reactor physics and operational and applied mathematics.

Book Numerical Solution of Quasi linear Equations

Download or read book Numerical Solution of Quasi linear Equations written by E. R. Cohen and published by . This book was released on 1960 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Numerical Solution of Field Problems in Continuum Physics

Download or read book Numerical Solution of Field Problems in Continuum Physics written by Society for Industrial and Applied Mathematics and published by American Mathematical Soc.. This book was released on 1970 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Solution of the Space dependent Reactor Kinetics Equations in Three Dimensions

Download or read book Solution of the Space dependent Reactor Kinetics Equations in Three Dimensions written by Donald Ross Ferguson and published by . This book was released on 1971 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: A general class of two-step alternating-direction semi-implicit methods is proposed for the approximate solution of the semi-discrete form of the space-dependent reactor kinetics equations. An exponential transformation of the semi-discrete equations is described which has been found to significantly reduce the truncation error when several alternating-direction semi-implicit methods are applied to the transformed equations. A subset of this class is shown to be a consistent approximation to the differential equations and to be numerically stable. Specific members of this subset are compared in one- and two-dimensional numerical experiments. An "optimum" method, termed the NSADE (Non-Symmetric Alternating-Direction Explicit) method is extended to three-dimensional geometries. Subsequent three-dimensional numerical experiments confirm the truncation error, accuracy, and stability properties of this method.