Starting variable-order Adams and BDF codes

DOI10.1016/0168-9274(87)90037-7zbMath0625.65062OpenAlexW2043520947MaRDI QIDQ579860

Lawrence F. Shampine

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0168-9274(87)90037-7

zbMATH Keywords

numerical examplesbackward differentiation formulaautomatic computationAdams methodautomatic step-size controlbackward Euler integration schemeexplicit second order Runge- Kutta schemevariable-order codes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items

Starting BDF and Adams codes at optimal order

Uses Software

• LSODE

Cites Work

• Unnamed Item
• Starting step size for an ODE solver
• Automatic selection of the initial step size for an ODE solver
• Runge-Kutta Starters for Multistep Methods
• Comparing numerical methods for stiff systems of O.D.E:s
• Hybrid Methods for Initial Value Problems in Ordinary Differential Equations
• The automatic integration of ordinary differential equations