Multistep high-order methods for nonlinear equations using Padé-like approximants

DOI10.1155/2017/3204652zbMath1401.65051OpenAlexW2761374286MaRDI QIDQ1784866

José L. Hueso, Eulalia Martínez, Alicia Cordero, Juan Ramón Torregrosa Sánchez

Publication date: 27 September 2018

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/3204652

Mathematics Subject Classification ID

Padé approximation (41A21) Numerical computation of solutions to single equations (65H05)

Uses Software

• MPFI

Cites Work

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• \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
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• Motivations for an arbitrary precision interval arithmetic and the MPFI library
• Optimal Order of One-Point and Multipoint Iteration
• A Family of Fourth Order Methods for Nonlinear Equations
• A variant of Newton's method with accelerated third-order convergence
• Using accurate arithmetics to improve numerical reproducibility and stability in parallel applications
• A new family of modified Ostrowski's methods with accelerated eighth order convergence

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