A method of characteristics for solving multirate partial differential equations in radio frequency application

In communication electronics, radio frequency applications are characterised by widely separated time scales. This behaviour increases both computation costs and problems during numerical simulation. A new signal model that transforms the ODE into a PDE model, can serve as a basis for more efficient...

Full description

Saved in:
Bibliographic Details
Published in:Applied numerical mathematics 2002-08, Vol.42 (1), p.397-409
Main Authors: Pulch, R., Günther, M.
Format: Article
Language:English
Subjects:
Characteristic system
Exact sciences and technology
Mathematical analysis
Mathematics
Method of characteristics
Multi-tone signals
Multirate partial differential equations
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Partial differential equations
Partial differential equations, boundary value problems
Radio frequency
Sciences and techniques of general use
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In communication electronics, radio frequency applications are characterised by widely separated time scales. This behaviour increases both computation costs and problems during numerical simulation. A new signal model that transforms the ODE into a PDE model, can serve as a basis for more efficient numerical methods. From one point of view, it can be regarded as a multirate scheme applied to the underlying ODE. Based on an analysis of this model, we present a method of characteristics to solve the PDE system with periodic boundary conditions. This technique exploits the special form of information transport in the given system.
ISSN:0168-9274
1873-5460
DOI:10.1016/S0168-9274(01)00163-5