High order methods for the numerical integration of ordinary differential equations

DOI10.1007/BF01398507zbMath0369.65019MaRDI QIDQ1243110

Jeff R. Cash

Publication date: 1978

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132558

zbMATH Keywords

stabilitynumerical integrationordinary differential equationsiterative methodsone step methodsstiff and non- stiff systems

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (10)

Second derivative of high-order accuracy methods for the numerical integration of stiff initial value problems ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Two-step second-derivative high-order methods with two off-step points for solution of stiff systems ⋮ Higher order implicit multistep methods for matrix differential equations ⋮ A modified version of Urabe's implicit single-step method ⋮ Unnamed Item ⋮ Bibliography on the evaluation of numerical software ⋮ The efficiency of second derivative multistep methods for the numerical integration of stiff systems ⋮ Runge-Kutta type integration formulas including the evaluation of the second derivative. I

Uses Software

• DIFSUB

Cites Work

• Unnamed Item
• An implicit one-step method of high-order accuracy for the numerical integration of ordinary differential equations
• Test Results on Initial Value Methods for Non-Stiff Ordinary Differential Equations
• Efficient Integration Methods for Stiff Systems of Ordinary Differential Equations
• A special stability problem for linear multistep methods

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