Numerical techniques for nonstandard eigenvalue problems in electromagnetics

Numerical techniques for nonstandard eigenvalue problems in electromagnetics by Zhiya Cai Download PDF EPUB FB2

As the availability of powerful computer resources has grown over the last three decades, the art of computation of electromagnetic (EM) problems has also grown - exponentially. Despite this dramatic growth, however, the EM community lacked a comprehensive text on the computational techniques used to solve EM problems.

The first edition of Numerical Techniques in Electromagnetics filled that 5/5(2). This revised edition discusses numerical methods for computing the eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific by: "FDTD is presently the method of choice for solving most numerical electromagnetics studies.

The Inan and Marshall book is a very thorough, yet readable, account of all the details of the method, very valuable for students and professionals alike, with problems included, ready for a by: terns in dynamical systems.

In fact the writing of this book was motivated mostly by the second class of problems. Several books dealing with numerical methods for solving eigenvalue prob-lems involving symmetric (or Hermitian) matrices have been written and there are a few software packages both public and commercial available.

The bookFile Size: 2MB. Eigenvalues and eigenvectors of matrices and linear operators play an important role when solving problems from structural mechanics and electrodynamics, e.g., by describing the resonance frequencies of systems, when investigating the long-term behavior of stochastic processes, e.g., by describing invariant probability measures, and as a tool for solving more general mathematical problems, e.g.

FDTD is presently the method of choice for solving most numerical electromagnetics studies. The Inan and Marshall book is a very thorough, yet readable, account of all the details of the method, very valuable for students and professionals alike, with problems included, ready for a course.

Even those who use commercial programs would benefitFile Size: KB. An overview is given over some of the most widely used numerical techniques for solving the electromagnetic scattering problem that start from rigorous electromagnetic theory.

In particular, the theoretical foundations of the separation of variables method, the finite-difference time-domain method, the finite-element method, the method of lines Cited by: Numerical Techniques in Electromagnetics with MATLAB ®, Third Edition continues to teach readers how to pose, numerically analyze, and solve EM problems, to give them the ability to expand their problem-solving skills using a variety of methods, and to prepare them for research in electromagnetism.

Now the Third Edition goes even further Price: $ This paper demonstrates the developed of FEM tools for two- and three-dimensional eigenvalue problems in electromagnetics.

In section 2, both the scalar and vector finite elements have been used. Numerical Methods I Eigenvalue Problems Aleksandar Donev Courant Institute, NYU1 [email protected] 1Course G / G, Fall September 30th, A. Donev (Courant Institute) Lecture IV 9/30/ 1 / 23File Size: KB. Despite this dramatic growth, however, the EM community lacked a comprehensive text on the computational techniques used to solve EM problems.

The first edition of Numerical Techniques in As the availability of powerful computer resources has grown over the last three decades, the art of computation of electromagnetic (EM) problems has also 4/5(1). Numerical Techniques in Electromagnetics, by Matthew & N.

Sadiku. Analysis Methods for Electromagnetic Wave Problems, by Eikichi Yamashita, Volume 2, Artech House. Numerical Methods for Engineers and Scientists, by Joe D.

Hoffman, McGraw-Hill, Inc. Solutions Manual for Numerical Techniques in Electromagnetics book. Read 11 reviews from the world's largest community for readers/5. Numerical Methods for Large Eigenvalue Problems This book was originally published by Manchester University Press (Oxford rd, Manchester, UK) in -- (ISBN 0 1) and in the US under Halstead Press (John Wiley, ISBN 0 7).

It is currently out of print. Numerical Techniques in ELECTROMAGNETICS with MATLAB® MATTHEW N. SADIKU Prairie View A&M University Texas, U.S.A. CRC Press Taylor &. Francis Croup Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Croup, an informa business.

Nonstandard and Higher-Order Finite-Difference Methods for Electromagnetics. preeminent simulation techniques for electromagnetics problems. In this. Numerical Methods in Electromagnetism will serve both as an introductory text for graduate students and as a reference book for professional engineers and researchers.

This book leads the uninitiated into the realm of numerical methods for solving electromagnetic field problems by examples and illustrations. Numerical Methods is a mathematical tool used by engineers and mathematicians to do scientific calculations.

It is used to find solutions to applied problems where ordinary analytical methods fail. This book is intended to serve for the needs of courses in Numerical Methods at the Bachelors' and Masters' levels at various universities/5(3). Numerical Methods for General and Structured Eigenvalue Problems SPIN Springer’s internal project number, if known Milan Paris Tokyo.

Immer wenn es regnet Preface The purpose of this book is to describe recent developments in solving eigen-value problems, in particular with respect to the QR and QZ algorithms as Similar techniques. FEM is a more powerful and versatile numerical technique for handling problems involving complex geometries and inhomogeneous media.

The systematic generality of the method makes it possible to construct general-purpose computer programs for solving a wide range of problems. Consequently, programs developed for a particular. The Numerical Solution of Eigenvalue Problems By Theodore R.

Goodman 1. Introduction. One method for solving eigenvalue problems on a digital computer is to convert the governing differential equations to finite difference equations, apply the boundary conditions at either end of the interval, and form a.The same applies to invariant subspaces, which for example can describe sets of initial states for which a dynamical system produces exponentially decaying states.

Computing eigenvalues has a long history, dating back to at least when Jacobi [] wrote his .The guiding principle is to explain modern numerical analysis concepts applicable in complex scientific computing at much simpler model problems.

For example, the two adaptive techniques in numerical quadrature elaborated here carry the germs for either exploration methods or multigrid methods in differential equations, which are not treated here.