DocumentCode
1609079
Title
Analog computing of partial differential equations
Author
Ratier, N.
Author_Institution
Time-Freq. Dept., FEMTO-ST Inst., Besancon, France
fYear
2012
Firstpage
275
Lastpage
282
Abstract
We show in this paper that a class of Periodic Networks of Resistances (called PNR) can be used to solve partial differential equations. More precisely, each cell of this periodic network computes locally a finite difference approximation of the partial differential equation. The PNR circuits are composed of current source, voltage-controlled voltage source and positive and negative resistances. An example of application of PNR could be the real time control of distributed MEMS.
Keywords
analogue circuits; approximation theory; finite difference methods; partial differential equations; PNR; PNR circuits; analog computing; current source; distributed MEMS; finite difference approximation; negative resistances; partial differential equations; periodic networks of resistances; positive resistances; voltage-controlled voltage source; Approximation methods; Boundary conditions; Electric potential; Electronic circuits; Micromechanical devices; Partial differential equations; Resistance;
fLanguage
English
Publisher
ieee
Conference_Titel
Sciences of Electronics, Technologies of Information and Telecommunications (SETIT), 2012 6th International Conference on
Conference_Location
Sousse
Print_ISBN
978-1-4673-1657-6
Type
conf
DOI
10.1109/SETIT.2012.6481928
Filename
6481928
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