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Monte Carlo Solution of Partial Differential Equations Using a Hybrid Computer

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1 Author(s)
Handler, Howard ; Burr-Brown Research Corp., Tucson, Ariz.

The analog-hybrid computer Monte Carlo technique for solving elliptic and parabolic partial differential equations has been implemented on a new hybrid computer capable of taking statistics over 1000 two-or three-dimensional random walks per second. This exceptional computing speed and flexible digital control permit direct plotting of partial differential equation solutions; of perhaps even greater interest is the incorporation of such Monte Carlo routines in real-time analog computer setups in process control applications. In this connection, the Monte Carlo method has been extended to a wider class of problems, and is especially applicable to heat conduction/diffusion problems.

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Electronic Computers, IEEE Transactions on  (Volume:EC-16 ,  Issue: 5 )