VECTORIZING MULTISTEP METHODS FOR NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS

Many direct methods of solution are available for solving nonlinear Volterra integral and integro-differential equations. All of these methods are inherently serial and therefore have not received much attention for use on a vector or parallel computer. It is possible, however, to make modest gains in speedup by employing some novel approaches to existing methods. These modifications are discussed and numerical examples illustrate the results.