Wave and Scattering Methods for Numerical Simulation (eBook)

Scattering-based numerical methods are increasingly applied to the
numerical simulation of distributed time-dependent physical
systems. These methods, which possess excellent stability and
stability verification properties, have appeared in various guises
as the transmission line matrix (TLM) method, multidimensional wave
digital (MDWD) filtering and digital waveguide (DWN) methods. This
text provides a unified framework for all of these techniques and
addresses the question of how they are related to more standard
numerical simulation techniques.

Covering circuit/scattering models in electromagnetics,
transmission line modelling, elastic dynamics, as well as
time-varying and nonlinear systems, this book highlights the
general applicability of this technique across a variety of
disciplines, as well as the inter-relationships between simulation
techniques and digital filter design.

* provides a comprehensive overview of scattering-based numerical
integration methods.

* reviews the basics of classical electrical network theory, wave
digital filters, and digital waveguide networks.

* discusses applications for time-varying and nonlinear
systems.

* includes an extensive bibliography containing over 250
references.

Mixing theory and application with numerical simulation results,
this book will be suitable for both experts and readers with a
limited background in signal processing and numerical techniques.