New Runge-Kutta methods for initial value problems

DOI10.1016/0893-9659(89)90109-2zbMath0705.65052OpenAlexW2054987618MaRDI QIDQ918148

David J. Evans

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90109-2

zbMATH Keywords

geometric meanRunge-Kutta methodsTaylor series expansions

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (4)

A comparison of modified runge-kutta formulas based on a variety of means ⋮ Exact finite-difference methods based on nonlinear means ⋮ A modified third order Runge-Kutta method ⋮ Modified numerical methods based on arithmetic and geometric means

Cites Work

• A new fourth order Runge-Kutta formula for \(y'=Ay\) with stepsize control
• New predictor corrector trapezoidal formulae for solving initial value problems

This page was built for publication: New Runge-Kutta methods for initial value problems