Numerical integration of partial differential equations by means of multidimensional wave digital filters

Author

Fettweis, Alfred ; Nitsche, Gunnar

Author_Institution

Lehrstuhl fuer Nachrichtentechnik, Ruhr-Univ. Bochum, West Germany

fYear

1990

fDate

1-3 May 1990

Firstpage

954

Abstract

A method is proposed for simulating a continuous-domain passive physical system (described by partial differential equations (PDEs)) by means of a discrete-domain passive system (described by difference equations). The latter can be realized according to the principles of multidimensional wave digital filters. This leads to an approach for numerical integration of PDEs that preserves all aspects of robustness (i.e. stability etc.) and is applicable to situations with nonconstant parameters and arbitrary boundary conditions

Keywords

boundary-value problems; integration; multidimensional digital filters; partial differential equations; wave digital filters; arbitrary boundary conditions; continuous-domain passive physical system; discrete-domain passive system; multidimensional wave digital filters; nonconstant parameters; numerical integration; partial differential equations; robustness; stability; Boundary conditions; Difference equations; Digital filters; Digital signal processing; Frequency domain analysis; Multidimensional systems; Partial differential equations; Robust stability; Robustness; Sampling methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1990., IEEE International Symposium on

Conference_Location

New Orleans, LA

Type

conf

DOI

10.1109/ISCAS.1990.112255

Filename

112255