Digitally-configurable analog VLSI chip and method for real-time solution of partial differential equations
AssigneeNew Mexico State University Technology Transfer Corporation
InventorsJaime Ramirez-Angulo, Mark R. DeYong
Life of this patent
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Abstract
A programmable Very Large Scale Integration (VLSI) chip and method for the analog solution of a family of partial differential equations commonly encountered in engineering and scientific computing: The Laplace equation, the diffusion or conduction equation, the wave equation, the Poission equation, the modified diffusion equation, the modified wave equation, and the wave equation with damping.
Claims24
An apparatus for solving equations, the apparatus comprising:
- means for receiving analog signals representative of an equation to be solved;
- a multi-dimensional array of cells for processing said analog signals, each of said cells being individually programmable and being differently programmed one from another and having a resistance which is digitally configurable and comprising digitally configurable analog integrated circuit means and
- wherein the equations solvable by said apparatus comprises a partial differential equation selected from the group consisting of the Laplace equation, the diffusion equation, the wave equation, the Poisson equation, the modified diffusion equation, the modified wave equation, the wave equation with damping.
An integrated circuit board for solving partial differential equations, the integrated circuit board comprising:
- means for receiving analog signals representative of a partial differential equation to be solved;
- an array of digitally configurable analog integrated circuit cells for processing said analog signals, each of said cells being individually programmable and being differently programmed one from another;
- means for interfacing said circuit board to a data bus of a digital computer;
- means for receiving digital configuration instructions form said data bus;
- and
- means for providing potentials of said cells to said data bus.
A method for solving equations, the method of comprising the steps of:
- a) receiving analog signals representative of an equation to be solved;
- b) providing a multi-dimensional array of digitally configurable cells for processing said analog signals to an analog integrated circuit board, each of the cells being individually programmable and being differently programmed one from another;
- c) digitally configuring a resistance of each of the cells;
- and
- wherein the equations solvable by the method comprises a partial differential equation selected from the group consisting of the Laplace equation, the diffusion equation, the wave equation, the Poisson equation, the modified diffusion equation, the modified wave equation, the wave equation with damping.
A method for solving partial differential equations, the method comprising the steps of:
- a) receiving analog signals representative of a partial differential equation to be solved;
- b) providing an array of digitally configurable analog signals to an integrated circuit board, each of the cells being individually programmable and being differently programmed one from another;
- c) interfacing the circuit board to an data bus of a digital computer;
- d) receiving digital configuration instructions from the data bus;
- and
- e) providing potentials of he cells to the data bus.
Dependencies are inferred from the claim text.