PARALLEL INTEGRATION OF ODES BASED ON CONVOLUTION ALGORITHMS

Parallel Integration of ODEs Based on Convolution Algorithms. We consi der parallel computing methods for ODEs based on the potential paralle lism of convolution algorithms. Detailed presentations of fast convolu tion algorithms are provided. Implementations of our methods on signal processors and special processors are described. The main emphasis is concentrated on applications of powerful parallel signal processing f acilities in ODE computations. By using convolution algorithms we show some treatments of parallel computing in finite fields. As an example of our approach we discuss integrating Lorenz's model.