Efficient error control in numerical integration of ordinary differential equations and optimal interpolating variable-stepsize peer methods
DOI10.1134/S0965542514040149zbMath1313.65208OpenAlexW2025829058MaRDI QIDQ2940465
G. Yu. Kulikov, Rüdiger Weiner
Publication date: 26 January 2015
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542514040149
numerical resultsglobal error controlpeer methodsdouble quasi-consistencycalculation and control of local and global errors
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) 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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