The Modified
Picard Method (Power Series Method) by James Sochacki Edgar G. Parker |
Paper I -
Implementing the Picard Method
Paper II -
A-priori Error Estimates for Initial Value ODE's
Paper III - Properties of Polynomial Systems of ODE's
Paper IV
- A Picard-McLaurin Theorem for Initial Value PDE's
Paper V -
Neuron Application Using Parker Sochacki
Paper VI - Planetary Motion Application Using Parker Sochacki
Paper VII - Parallel Computing Using PSM
Paper
IX - Connections of PSM with Automatic Differentiation
Paper X - What Moves You: Using Legs for Vehicular
Transportation
Paper XI - Delay Differential Equations
Paper
XII - Boundary Value Problems
Paper XIII -
Discretized Picard's Method (PDEs)
Paper XIV - Adaptive Time Step Power Series Methods
Paper XV - More Neuron (Hodgkin-Huxley) Application Using PSM
Taylor Center - An Automatic Differentiation
Development and ODE - AD Solver
Matlab Code
that Solves General Quadratic IVODE's using PSM
Maple Code that Solves General Quadratic IVODE's using PSM
Maple Code that Solves General Polynomial IVODE's using Modified
Picard