The Trajectory of a Solution to a Lorenz' Equation
The Modified Picard Method
 
by
James Sochacki
Edgar G. Parker


An Expository Document on Using the Modified Picard Method to Solve Ordinary Differential Equations and Initial Value Partial Differential Equations

Paper I - Implementing the Picard Method

Paper II - A-priori Error Estimates for Initial Value ODE's

Paper III - A Picard-McLaurin Theorem for Initial Value PDE's

Maple Code that Solves General Quadratic IVODE's using Modified Picard