Method and apparatus for process modeling using a dynamical system

The present invention generally relates to modeling processes, in such fields as those derived from physical, chemical, biological, financial and sundry conceptual mathematical systems. More particularly, the present invention relates to a method and apparatus for modeling processes using a multi-state dynamical system, such as cellular automata. A method and apparatus for modeling physical, chemical and sundry conceptual processes is taught. A family of multi, state dynamical systems are used to solve the differential equations that define these processes. Differential bases functions are generated from the evolving states of cellular automata. The use of the differential basis functions greatly simplifies the modeling process. The present invention avoids the use of millions of computational cells as required by the prior art.