Solving the order reduction phenomenon in variable step size quasi-consistent Nordsieck methods

DOI10.1134/S0965542512110085zbMath1274.65193OpenAlexW2000142620MaRDI QIDQ2838776

G. Yu. Kulikov

Publication date: 3 July 2013

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542512110085

zbMATH Keywords

numerical resultsinitial value problemvariable step sizeNordsieck methodsautomatic error controlfirst-order ordinary differential equationmultistep Adams-Moulton formulasquasi-consistencyreducing the order of convergence

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) Error bounds for numerical methods for ordinary differential equations (65L70) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

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