A dynamical strategy for approximation methods

DOI10.1016/j.crme.2006.04.005zbMath1110.65025OpenAlexW2010806878MaRDI QIDQ869428

Fabienne Jézéquel

Publication date: 2 March 2007

Published in: Comptes Rendus. Mécanique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crme.2006.04.005

zbMATH Keywords

convergencenumerical examplesround-off errorquadrature methodsCESTAC methoddiscrete stochastic arithmetictruncation errorGauss-Legendre methodnumerical validationNewton-Cotes method

Mathematics Subject Classification ID

Roundoff error (65G50) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Algorithms with automatic result verification (65G20)

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Dynamical strategy on homotopy perturbation method for solving second kind integral equations using the CESTAC method ⋮ Stochastic arithmetic in multiprecision ⋮ A procedure with stepsize control for solving \(n\) one-dimensional IVPs ⋮ Stepsize control for cubic spline interpolation ⋮ Optimal iterate of the power and inverse iteration methods

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