Numerical Methods for Exterior Problems

Numerical Methods for Exterior Problems
Author: Long'an Ying
Publisher: World Scientific
Total Pages: 280
Release: 2006
Genre: Science
ISBN: 9812702180

This book provides a comprehensive introduction to the numerical methods for the exterior problems in partial differential equations frequently encountered in science and engineering computing. The coverage includes both traditional and novel methods. A concise introduction to the well-posedness of the problems is given, establishing a solid foundation for the methods.

Topics in Computational Wave Propagation

Topics in Computational Wave Propagation
Author: Mark Ainsworth
Publisher: Springer
Total Pages: 410
Release: 2011-09-27
Genre: Mathematics
ISBN: 9783642554841

These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.

Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods

Computational Acoustics of Noise Propagation in Fluids - Finite and Boundary Element Methods
Author: Steffen Marburg
Publisher: Springer Science & Business Media
Total Pages: 584
Release: 2008-02-27
Genre: Science
ISBN: 3540774483

The book provides a survey of numerical methods for acoustics, namely the finite element method (FEM) and the boundary element method (BEM). It is the first book summarizing FEM and BEM (and optimization) for acoustics. The book shows that both methods can be effectively used for many other cases, FEM even for open domains and BEM for closed ones. Emphasis of the book is put on numerical aspects and on treatment of the exterior problem in acoustics, i.e. noise radiation.

Numerical Methods for Problems in Infinite Domains

Numerical Methods for Problems in Infinite Domains
Author: D. Givoli
Publisher: Elsevier
Total Pages: 316
Release: 2013-10-22
Genre: Mathematics
ISBN: 1483291081

This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.

Computational Simulation in Architectural and Environmental Acoustics

Computational Simulation in Architectural and Environmental Acoustics
Author: Tetsuya Sakuma
Publisher: Springer
Total Pages: 332
Release: 2014-08-05
Genre: Technology & Engineering
ISBN: 4431544542

This book reviews a variety of methods for wave-based acoustic simulation and recent applications to architectural and environmental acoustic problems. Following an introduction providing an overview of computational simulation of sound environment, the book is in two parts: four chapters on methods and four chapters on applications. The first part explains the fundamentals and advanced techniques for three popular methods, namely, the finite-difference time-domain method, the finite element method, and the boundary element method, as well as alternative time-domain methods. The second part demonstrates various applications to room acoustics simulation, noise propagation simulation, acoustic property simulation for building components, and auralization. This book is a valuable reference that covers the state of the art in computational simulation for architectural and environmental acoustics.

Numerical Techniques in Electromagnetics with MATLAB

Numerical Techniques in Electromagnetics with MATLAB
Author: Matthew N.O. Sadiku
Publisher: CRC Press
Total Pages: 601
Release: 2018-10-08
Genre: Technology & Engineering
ISBN: 1420063103

Despite the dramatic growth in the availability of powerful computer resources, the EM community lacks a comprehensive text on the computational techniques used to solve EM problems. The first edition of Numerical Techniques in Electromagnetics filled that gap and became the reference of choice for thousands of engineers, researchers, and students. This third edition of the bestselling text reflects the continuing increase in awareness and use of numerical techniques and incorporates advances and refinements made in recent years. Most notable among these are the improvements made to the standard algorithm for the finite-difference time-domain (FDTD) method and treatment of absorbing boundary conditions in FDTD, finite element, and transmission-line-matrix methods. The author also has added a chapter on the method of lines. Numerical Techniques in Electromagnetics with MATLABĀ®, 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 toward providing a comprehensive resource that addresses all of the most useful computation methods for EM problems and includes MATLAB code instead of FORTRAN.

Advanced Electromagnetic Computation

Advanced Electromagnetic Computation
Author: Dikshitulu K. Kalluri
Publisher: CRC Press
Total Pages: 385
Release: 2017-11-28
Genre: Technology & Engineering
ISBN: 1498733441

Advanced Electromagnetic Computation with MATLABĀ® discusses commercial electromagnetic software, widely used in the industry. Algorithms of Finite Differences, Moment method, Finite Element method and Finite Difference Time Domain method are illustrated. Hand-computed simple examples and MATLAB-coded examples are used to explain the concepts behind the algorithms. Case studies of practical examples from transmission lines, waveguides, and electrostatic problems are given so students are able to develop the code and solve the problems. Two new chapters including advanced methods based on perturbation techniques and three dimensional finite element examples from radiation scattering are included.

Frontiers of Applied and Computational Mathematics

Frontiers of Applied and Computational Mathematics
Author: Denis Blackmore
Publisher: World Scientific
Total Pages: 275
Release: 2008-11-25
Genre: Mathematics
ISBN: 9812835296

This volume contains a selection of papers presented at the 2008 Conference on Frontiers of Applied and Computational Mathematics (FACM''08), held at the New Jersey Institute of Technology (NJIT), May 19OCo21, 2008. The papers reflect the conference themes of mathematical biology, mathematical fluid dynamics, applied statistics and biostatistics, and waves and electromagnetics. Some of the world''s most distinguished experts in the conference focus areas provide a unique and timely perspective on leading-edge research, research trends, and important open problems in several fields, making it a OC must readOCO for active mathematical scientists."