A modified version of Urabe's implicit single-step method

DOI10.1016/0377-0427(87)90149-XzbMath0625.65057OpenAlexW2083228260MaRDI QIDQ579856

Taketomo Mitsui

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90149-x

zbMATH Keywords

A-stabilityhigh-order predictor-corrector formulaimplicit single step methodMilne-type estimator for local truncation errornon-stiff problems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (max. 100)

Extended a-stable two-step methods for the numerical solution of ordinary differential equations ⋮ Second derivative of high-order accuracy methods for the numerical integration of stiff initial value problems ⋮ Two-step second-derivative high-order methods with two off-step points for solution of stiff systems ⋮ Unnamed Item ⋮ The efficiency of second derivative multistep methods for the numerical integration of stiff systems

Cites Work

• High order methods for the numerical integration of ordinary differential equations
• An implicit one-step method of high-order accuracy for the numerical integration of ordinary differential equations
• Simultaneous computation of functions, partial derivatives and estimates of rounding errors —Complexity and practicality—
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