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.