The computer method of variable piecewise polynomial approximation of functions and solutions of ordinary differential equations

DOI10.1007/s10559-013-9524-1zbMath1303.65060OpenAlexW2088684200MaRDI QIDQ465971

G. A. Dzhanunts, Ya. E. Romm

Publication date: 24 October 2014

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-013-9524-1

zbMATH Keywords

convergenceCauchy problemstiff systemserror minimizationpiecewise polynomial approximation of functionssolution of ordinary differential equations

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) Error bounds for numerical methods for ordinary differential equations (65L70) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical methods for stiff equations (65L04)

Related Items (2)

Computer-oriented stability analysis based on recurrent transformation of difference solutions of ordinary differential equations ⋮ The varying piecewise interpolation solution of the Cauchy problem for ordinary differential equations with iterative refinement

Uses Software

• RODAS

Cites Work

• Sorting-based localization and stable computation of zeros of a polynomial. II.
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