Analog computing of partial differential equations

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 co...

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Bibliographic Details
Main Author: Ratier, N.
Format: Conference Proceeding
Language:English
Subjects:
Approximation methods
Boundary conditions
Electric potential
Electronic circuits
Micromechanical devices
Partial differential equations
Resistance
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Summary: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.
DOI:10.1109/SETIT.2012.6481928