An L-stable extended two-step method for the integration of ordinary differential equations

DOI10.1016/j.amc.2006.07.155zbMath1117.65108OpenAlexW4245390618MaRDI QIDQ884600

Mustafa Inc

Publication date: 6 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.155

zbMATH Keywords

numerical resultsinitial value problemsstiff systemslinear multistep methods\(L\)-stability

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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (1)

A family of matrix coefficient formulas for solving ordinary differential equations

Cites Work

• Unnamed Item
• An \(A\)-stable extended trapezoidal rule for the integration of ordinary differential equations
• A comparison of numerical ODE solvers based on Euler methods
• A class of stabilized extended one-step methods for the numerical solution of ODEs
• Extended one-step methods for the numerical solution of ordinary differential equations
• Extended a-stable two-step methods for the numerical solution of ordinary differential equations
• A two step method for the numerical integration of stiff differential equations

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