Accurate Computation of Mathieu Functions

Accurate Computation of Mathieu Functions
Author: Andrew Peterson
Publisher: Springer Nature
Total Pages: 123
Release: 2022-06-01
Genre: Technology & Engineering
ISBN: 303101717X

This lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromagnetic scattering from elliptic cylinders and flat strips, as well as the analogous acoustic and optical problems, and many other applications in science and engineering. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative "tuned" approach enabling improved accuracy and convergence. The performance of this approach is investigated for a wide range of parameters and machine precision. Examples from electromagnetic scattering are provided for illustration and to show the convergence of the typical series that employ Mathieu functions for boundary value analysis.

Accurate Computation of Mathieu Functions

Accurate Computation of Mathieu Functions
Author: Andrew Peterson
Publisher: Morgan & Claypool Publishers
Total Pages: 135
Release: 2013-09-01
Genre: Technology & Engineering
ISBN: 1627050868

This lecture presents a modern approach for the computation of Mathieu functions. These functions find application in boundary value analysis such as electromagnetic scattering from elliptic cylinders and flat strips, as well as the analogous acoustic and optical problems, and many other applications in science and engineering. The authors review the traditional approach used for these functions, show its limitations, and provide an alternative "tuned" approach enabling improved accuracy and convergence. The performance of this approach is investigated for a wide range of parameters and machine precision. Examples from electromagnetic scattering are provided for illustration and to show the convergence of the typical series that employ Mathieu functions for boundary value analysis.

International Youth Conference on Electronics, Telecommunications and Information Technologies

International Youth Conference on Electronics, Telecommunications and Information Technologies
Author: Elena Velichko
Publisher: Springer Nature
Total Pages: 743
Release: 2020-11-27
Genre: Science
ISBN: 3030588688

This volume presents peer reviewed and selected papers of the International Youth Conference on Electronics, Telecommunications and Information Technologies (YETI-2020), held in Peter the Great St. Petersburg Polytechnic University, St. Petersburg on July 10–11, 2020. It discusses current trends and major advances in electronics, telecommunications, optical and information technologies, focusing, in particular, on theoretical and practical aspects of developing novel devices and materials, improving data processing methods and technologies. The conference brings together young researchers and early-career scientists participating in a series of lectures and presentations, establishing contacts with potential partners, sharing new project ideas and starting new collaborations.

Advanced Computational Electromagnetic Methods

Advanced Computational Electromagnetic Methods
Author: Wenhua Yu
Publisher: Artech House
Total Pages: 597
Release: 2015-03-01
Genre: Technology & Engineering
ISBN: 1608078973

This new resource covers the latest developments in computational electromagnetic methods, with emphasis on cutting-edge applications. This book is designed to extend existing literature to the latest development in computational electromagnetic methods, which are of interest to readers in both academic and industrial areas. The topics include advanced techniques in MoM, FEM and FDTD, spectral domain method, GPU and Phi hardware acceleration, metamaterials, frequency and time domain integral equations, and statistics methods in bio-electromagnetics.

Topics in Modal Analysis & Testing, Volume 9

Topics in Modal Analysis & Testing, Volume 9
Author: Michael Mains
Publisher: Springer
Total Pages: 384
Release: 2018-07-04
Genre: Technology & Engineering
ISBN: 3319747002

Topics in Modal Analysis & Testing, Volume 9: Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics, 2018, the ninth volume of nine from the Conference, brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Modal Analysis, including papers on: Operational Modal & Modal Analysis Applications Experimental Techniques Modal Analysis, Measurements & Parameter Estimation Modal Vectors & Modeling Basics of Modal Analysis Additive Manufacturing & Modal Testing of Printed Parts

Computational Methods for Nanoscale Applications

Computational Methods for Nanoscale Applications
Author: Igor Tsukerman
Publisher: Springer Nature
Total Pages: 707
Release: 2020-08-21
Genre: Science
ISBN: 3030438937

Positioning itself at the common boundaries of several disciplines, this work provides new perspectives on modern nanoscale problems where fundamental science meets technology and computer modeling. In addition to well-known computational techniques such as finite-difference schemes and Ewald summation, the book presents a new finite-difference calculus of Flexible Local Approximation Methods (FLAME) that qualitatively improves the numerical accuracy in a variety of problems.