Resumen de Novel Padé‐based algorithms for numerical integration of ODEs

Marissa Condon, Emira Dautbegovic, Tao Xu

• Purpose – The paper aims to propose several new approaches for the discrete‐time integration of stiff non‐linear differential equations.

  Design/methodology/approach – The proposed approaches build on a method developed by the authors involving Padé approximates about each function sample. Both single‐ and multi‐step methods are suggested. The use of Richardson extrapolation is recommended for increasing efficiency.

  Findings – The efficacy of the methods is shown using two examples and results are compared to a standard integration technique.

  Originality/value – The paper shows that the methods are suitable for application in any field of science requiring efficient and accurate numerical solution of stiff differential equations.