Introduction To The Fast Multipole Method
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Introduction To The Fast Multipole Method
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Author : Victor Anisimov
language : en
Publisher: CRC Press
Release Date : 2019-12-19
Introduction To The Fast Multipole Method written by Victor Anisimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-19 with Science categories.
Introduction to the Fast Multipole Method introduces the reader to the theory and computer implementation of the Fast Multipole Method. It covers the topics of Laplace’s equation, spherical harmonics, angular momentum, the Wigner matrix, the addition theorem for solid harmonics, and lattice sums for periodic boundary conditions, along with providing a complete, self-contained explanation of the math of the method, so that anyone having an undergraduate grasp of calculus should be able to follow the material presented. The authors derive the Fast Multipole Method from first principles and systematically construct the theory connecting all the parts. Key Features Introduces each topic from first principles Derives every equation presented, and explains each step in its derivation Builds the necessary theory in order to understand, develop, and use the method Describes the conversion from theory to computer implementation Guides through code optimization and parallelization
Introduction To The Fast Multipole Method
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Author : Victor Anisimov
language : en
Publisher: CRC Press
Release Date : 2019-12-06
Introduction To The Fast Multipole Method written by Victor Anisimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-06 with Science categories.
Introduction to the Fast Multipole Method introduces the reader to the theory and computer implementation of the Fast Multipole Method. It covers the topics of Laplace’s equation, spherical harmonics, angular momentum, the Wigner matrix, the addition theorem for solid harmonics, and lattice sums for periodic boundary conditions, along with providing a complete, self-contained explanation of the math of the method, so that anyone having an undergraduate grasp of calculus should be able to follow the material presented. The authors derive the Fast Multipole Method from first principles and systematically construct the theory connecting all the parts. Key Features Introduces each topic from first principles Derives every equation presented, and explains each step in its derivation Builds the necessary theory in order to understand, develop, and use the method Describes the conversion from theory to computer implementation Guides through code optimization and parallelization
Fast Multipole Methods For The Helmholtz Equation In Three Dimensions
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Author : Nail A Gumerov
language : en
Publisher: Elsevier
Release Date : 2005-01-27
Fast Multipole Methods For The Helmholtz Equation In Three Dimensions written by Nail A Gumerov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-01-27 with Mathematics categories.
This volume in the Elsevier Series in Electromagnetism presents a detailed, in-depth and self-contained treatment of the Fast Multipole Method and its applications to the solution of the Helmholtz equation in three dimensions. The Fast Multipole Method was pioneered by Rokhlin and Greengard in 1987 and has enjoyed a dramatic development and recognition during the past two decades. This method has been described as one of the best 10 algorithms of the 20th century. Thus, it is becoming increasingly important to give a detailed exposition of the Fast Multipole Method that will be accessible to a broad audience of researchers. This is exactly what the authors of this book have accomplished. For this reason, it will be a valuable reference for a broad audience of engineers, physicists and applied mathematicians. - The Only book that provides comprehensive coverage of this topic in one location - Presents a review of the basic theory of expansions of the Helmholtz equation solutions - Comprehensive description of both mathematical and practical aspects of the fast multipole method and it's applications to issues described by the Helmholtz equation
Introduction To Quantum Biology
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Author : Victor Anisimov
language : en
Publisher: CRC Press
Release Date : 2016-08-15
Introduction To Quantum Biology written by Victor Anisimov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-15 with Science categories.
This book introduces the reader to the theory and methodology of quantum-mechanical modeling of chemical and biological systems. Given the immense complexity of such systems, there is a constant search for new methods. The goal of this text is to derive approximate (semi-empirical) methods to address this class of problems and to provide insight for their continued development. The authors cover such important topics as molecular dynamics, high performance computing, free energy calculations, statistical mechanics, long-range electrostatics, and many-electron systems. They also discuss applications for water salvation, chemical reactions, conformational sampling, and structure relaxation.
Many Body Tree Methods In Physics
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Author : Susanne Pfalzner
language : en
Publisher: Cambridge University Press
Release Date : 1996-10-13
Many Body Tree Methods In Physics written by Susanne Pfalzner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-10-13 with Mathematics categories.
An introduction to the fast N-body algorithms used in many branches of computational physics.
Periodic Boundary Conditions And The Error Controlled Fast Multipole Method
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Author : Ivo Kabadshow
language : en
Publisher: Forschungszentrum Jülich
Release Date : 2012
Periodic Boundary Conditions And The Error Controlled Fast Multipole Method written by Ivo Kabadshow and has been published by Forschungszentrum Jülich this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.
The Multilevel Fast Multipole Algorithm Mlfma For Solving Large Scale Computational Electromagnetics Problems
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Author : Ozgur Ergul
language : en
Publisher: John Wiley & Sons
Release Date : 2014-06-23
The Multilevel Fast Multipole Algorithm Mlfma For Solving Large Scale Computational Electromagnetics Problems written by Ozgur Ergul and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-23 with Science categories.
The Multilevel Fast Multipole Algorithm (MLFMA) for Solving Large-Scale Computational Electromagnetic Problems provides a detailed and instructional overview of implementing MLFMA. The book: Presents a comprehensive treatment of the MLFMA algorithm, including basic linear algebra concepts, recent developments on the parallel computation, and a number of application examples Covers solutions of electromagnetic problems involving dielectric objects and perfectly-conducting objects Discusses applications including scattering from airborne targets, scattering from red blood cells, radiation from antennas and arrays, metamaterials etc. Is written by authors who have more than 25 years experience on the development and implementation of MLFMA The book will be useful for post-graduate students, researchers, and academics, studying in the areas of computational electromagnetics, numerical analysis, and computer science, and who would like to implement and develop rigorous simulation environments based on MLFMA.
Computational Methods For Electromagnetics
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Author : Andrew F. Peterson
language : en
Publisher: Universities Press
Release Date : 2001
Computational Methods For Electromagnetics written by Andrew F. Peterson and has been published by Universities Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Electromagnetism categories.
This book is an indispensable resource for making efficient and accurate formulations for electromagnetics applications and their numerical treatment, Employing a unified and coherent approach that is unmatched in the field, the authors deatil both integral and differential equations using the method-of-moments and finite-element procedures.
Fast Multipole Boundary Element Method
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Author : Yijun Liu
language : en
Publisher: Cambridge University Press
Release Date : 2009-08-24
Fast Multipole Boundary Element Method written by Yijun Liu and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-24 with Mathematics categories.
First book on the fast multipole BEM, bringing together classical theory in BEM formulations and the fast multipole method.
Introduction To Electromagnetic Waves With Maxwell S Equations
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Author : Ozgur Ergul
language : en
Publisher: John Wiley & Sons
Release Date : 2021-10-11
Introduction To Electromagnetic Waves With Maxwell S Equations written by Ozgur Ergul and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-11 with Science categories.
Discover an innovative and fresh approach to teaching classical electromagnetics at a foundational level Introduction to Electromagnetic Waves with Maxwell's Equations delivers an accessible and practical approach to teaching the well-known topics all electromagnetics instructors must include in their syllabus. Based on the author's decades of experience teaching the subject, the book is carefully tuned to be relevant to an audience of engineering students who have already been exposed to the basic curricula of linear algebra and multivariate calculus. Forming the backbone of the book, Maxwell's equations are developed step-by-step in consecutive chapters, while related electromagnetic phenomena are discussed simultaneously. The author presents accompanying mathematical tools alongside the material provided in the book to assist students with retention and comprehension. The book contains over 100 solved problems and examples with stepwise solutions offered alongside them. An accompanying website provides readers with additional problems and solutions. Readers will also benefit from the inclusion of: A thorough introduction to preliminary concepts in the field, including scalar and vector fields, cartesian coordinate systems, basic vector operations, orthogonal coordinate systems, and electrostatics, magnetostatics, and electromagnetics An exploration of Gauss' Law, including integral forms, differential forms, and boundary conditions A discussion of Ampere's Law, including integral and differential forms and Stoke's Theorem An examination of Faraday's Law, including integral and differential forms and the Lorentz Force Law Perfect for third-and fourth-year undergraduate students in electrical engineering, mechanical engineering, applied maths, physics, and computer science, Introduction to Electromagnetic Waves with Maxwell's Equations will also earn a place in the libraries of graduate and postgraduate students in any STEM program with applications in electromagnetics.