Validation of results of collocation methods for ODEs with CADNA library

DOI10.1016/0168-9274(96)00004-9zbMath0858.65084OpenAlexW2066494868MaRDI QIDQ1924827

Yanyan Li

Publication date: 20 October 1996

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(96)00004-9

zbMATH Keywords

parallel computationcollocation methodserror propagationCESTAC methodCADNA libraryresult validationstochastic arithmeticround-off error analysis

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Linear ordinary differential equations and systems (34A30) Parallel numerical computation (65Y05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items

Stochastic arithmetic: Addition and multiplication by scalars ⋮ On the algebraic Properties of Stochastic Arithmetic. Comparison to Interval Arithmetic ⋮ Extension of optimal homotopy asymptotic method with use of Daftardar-Jeffery polynomials to coupled nonlinear-Korteweg-de-Vries system ⋮ Finding optimal convergence control parameter in the homotopy analysis method to solve integral equations based on the stochastic arithmetic ⋮ A novel numerical optimality technique to find the optimal results of Volterra integral equation of the second kind with discontinuous kernel ⋮ Iterative solutions of Hirota Satsuma coupled KdV and modified coupled KdV systems ⋮ Numerical Study of Algebraic Problems Using Stochastic Arithmetic ⋮ CADNA

Cites Work

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