Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The J-Matrix Method PDF full book. Access full book title The J-Matrix Method by Abdulaziz D. Alhaidari. Download full books in PDF and EPUB format.
Author: Abdulaziz D. Alhaidari Publisher: Springer Science & Business Media ISBN: 1402060734 Category : Science Languages : en Pages : 358
Book Description
Although introduced30 years ago, the J-matrix method has witnessed a resurgence of interest in the last few years. In fact, the interest never ceased, as some authors have found in this method an effective way of handling the continuous spectrum of scattering operators, in addition to other operators. The motivation behind the introduction of the J-matrix method will be presented in brief. The introduction of fast computing machines enabled theorists to perform cal- lations, although approximate, in a conveniently short period of time. This made it possible to study varied scenarios and models, and the effects that different possible parameters have on the ?nal results of such calculations. The ?rst area of research that bene?ted from this opportunity was the structural calculation of atomic and nuclear systems. The Hamiltonian element of the system was set up as a matrix in a convenient, ?nite, bound-state-like basis. A matrix of larger size resulted in a better con?guration interaction matrix that was subsequently diagonalized. The discrete energy eigenvalues thus obtained approximated the spectrum of the system, while the eigenfunctions approximated the wave function of the resulting discrete state. Structural theorists were delighted because they were able to obtain very accurate values for the lowest energy states of interest.
Author: Abdulaziz D. Alhaidari Publisher: Springer Science & Business Media ISBN: 1402060734 Category : Science Languages : en Pages : 358
Book Description
Although introduced30 years ago, the J-matrix method has witnessed a resurgence of interest in the last few years. In fact, the interest never ceased, as some authors have found in this method an effective way of handling the continuous spectrum of scattering operators, in addition to other operators. The motivation behind the introduction of the J-matrix method will be presented in brief. The introduction of fast computing machines enabled theorists to perform cal- lations, although approximate, in a conveniently short period of time. This made it possible to study varied scenarios and models, and the effects that different possible parameters have on the ?nal results of such calculations. The ?rst area of research that bene?ted from this opportunity was the structural calculation of atomic and nuclear systems. The Hamiltonian element of the system was set up as a matrix in a convenient, ?nite, bound-state-like basis. A matrix of larger size resulted in a better con?guration interaction matrix that was subsequently diagonalized. The discrete energy eigenvalues thus obtained approximated the spectrum of the system, while the eigenfunctions approximated the wave function of the resulting discrete state. Structural theorists were delighted because they were able to obtain very accurate values for the lowest energy states of interest.
Author: Vadim Olshevsky Publisher: World Scientific ISBN: 9814469556 Category : Mathematics Languages : en Pages : 604
Book Description
Compared to other books devoted to matrices, this volume is unique in covering the whole of a triptych consisting of algebraic theory, algorithmic problems and numerical applications, all united by the essential use and urge for development of matrix methods. This was the spirit of the 2nd International Conference on Matrix Methods and Operator Equations from 23-27 July 2007 in Moscow that was organized by Dario Bini, Gene Golub, Alexander Guterman, Vadim Olshevsky, Stefano Serra-Capizzano, Gilbert Strang and Eugene Tyrtyshnikov.Matrix methods provide the key to many problems in pure and applied mathematics. However, linear algebra theory, numerical algorithms and matrices in FEM/BEM applications usually live as if in three separate worlds. In this volume, maybe for the first time ever, they are compiled together as one entity as it was at the Moscow meeting, where the algebraic part was impersonated by Hans Schneider, algorithms by Gene Golub, and applications by Guri Marchuk. All topics intervened in plenary sessions are specially categorized into three sections of this volume.The soul of the meeting was Gene Golub, who rendered a charming “Golub's dimension” to the three main axes of the conference topics. This volume is dedicated in gratitude to his memory.
Author: John J. Uicker Publisher: Cambridge University Press ISBN: 0521761093 Category : Computers Languages : en Pages : 347
Book Description
This is an integrated approach to kinematic and dynamic analysis. The matrix techniques presented are general and applicable to two- or three-dimensional systems. The techniques lend themselves to programming and digital computation and can be a usable tool for designers, and are applicable to the design analysis of all multibody mechanical systems.
Author: Judith Garrard Publisher: Jones & Bartlett Learning ISBN: 0763771864 Category : Language Arts & Disciplines Languages : en Pages : 225
Book Description
Health Sciences Literature Review Made Easy helps students and practitioners better understand scientific literature by instilling the essential skills (via the matrix method) needed to critically evaluate article findings. the fundamental principles of searching, organizing, reviewing, and synthesizing are covered at the most basic level. Visual examples and a single case study are woven throughout the text. This easy-to-read and practical reference is an invaluable aid to students, researchers, and practitioners. the Third Edition has been completely revised and updated to reflect the switch
Author: Manolis Papadrakakis Publisher: Butterworth-Heinemann ISBN: 0128118822 Category : Technology & Engineering Languages : en Pages : 468
Book Description
Divided into 12 chapters, Matrix Methods for Advanced Structural Analysis begins with an introduction to the analysis of structures (fundamental concepts and basic steps of structural analysis, primary structural members and their modeling, brief historical overview of methods of static analysis, programming principles, and suggestions for the rational use of computer programs). This is followed by the principal steps of the Direct Stiffness Method including plane trusses, plane framed structures, space trusses, and space framed structures. The case of plane or space framed structure, including possible rigid elements at their beam ends (rigid joints) is discussed in detail. Other topics discussed in this reference include the procedure for analyzing beams with internal releases (partial connection of beam elements) and elastic hinges, as well as the alternative handling of internal releases by modifying the element stiffness matrix. Furthermore, the Method of Substructures is demonstrated for the solution of large-scale models in terms of the associated number of degrees of freedom. - The principal steps of the Direct Stiffness Method are presented for plane and space trusses, as well as plane and space framed structures - The handling of beams with internal releases and elastic hinges - The method of substructures for large-scale structures - A computer code (basic steps and source files) based on MATLAB® software for the analysis of beam-like structures
Author: Stephen Boyd Publisher: Cambridge University Press ISBN: 1316518965 Category : Business & Economics Languages : en Pages : 477
Book Description
A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.
Author: Nicholas J. Higham Publisher: SIAM ISBN: 0898717779 Category : Mathematics Languages : en Pages : 445
Book Description
A thorough and elegant treatment of the theory of matrix functions and numerical methods for computing them, including an overview of applications, new and unpublished research results, and improved algorithms. Key features include a detailed treatment of the matrix sign function and matrix roots; a development of the theory of conditioning and properties of the Fre;chet derivative; Schur decomposition; block Parlett recurrence; a thorough analysis of the accuracy, stability, and computational cost of numerical methods; general results on convergence and stability of matrix iterations; and a chapter devoted to the f(A)b problem. Ideal for advanced courses and for self-study, its broad content, references and appendix also make this book a convenient general reference. Contains an extensive collection of problems with solutions and MATLAB implementations of key algorithms.
Author: Günter Ludyk Publisher: Springer ISBN: 3319263668 Category : Science Languages : en Pages : 217
Book Description
This book gives an introduction to quantum mechanics with the matrix method. Heisenberg's matrix mechanics is described in detail. The fundamental equations are derived by algebraic methods using matrix calculus. Only a brief description of Schrödinger's wave mechanics is given (in most books exclusively treated), to show their equivalence to Heisenberg's matrix method. In the first part the historical development of Quantum theory by Planck, Bohr and Sommerfeld is sketched, followed by the ideas and methods of Heisenberg, Born and Jordan. Then Pauli's spin and exclusion principles are treated. Pauli's exclusion principle leads to the structure of atoms. Finally, Dirac ́s relativistic quantum mechanics is shortly presented. Matrices and matrix equations are today easy to handle when implementing numerical algorithms using standard software as MAPLE and Mathematica.
Author: Jamal J. Azar Publisher: Elsevier ISBN: 1483148068 Category : Technology & Engineering Languages : en Pages : 232
Book Description
Matrix Structural Analysis focuses on the theory and practical application of matrix structural analysis. Organized into seven chapters, this book first describes the matrix algebra and the fundamental structural concepts and principles which are directly related to the development of the matrix methods. Subsequent chapters present the theory and application of the direct stiffness matrix method and matrix force method to structural analysis. The element stiffness matrices of lifting surface type structures and the general theory of analysis by structural partitioning are also presented. This book will be useful for students and practicing engineer as a quick reference material in this field of interest.
Author: Abdulaziz D. Alhaidari
Author: Abdulaziz D. Alhaidari
Author: Vadim Olshevsky
Author: John J. Uicker
Author: Judith Garrard
Author: Manolis Papadrakakis
Author: Yousef Saad
Author: Stephen Boyd
Author: Nicholas J. Higham
Author: Günter Ludyk
Author: Jamal J. Azar