An Overview on Steffensen-Type Methods

DOI10.1007/978-3-319-39228-8_2zbMath1353.65048OpenAlexW2524829843MaRDI QIDQ2832948

Sergio Amat, Sonia Busquier, Lara Orcos, Ángel Alberto Magreñán

Publication date: 15 November 2016

Published in: SEMA SIMAI Springer Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-39228-8_2

zbMATH Keywords

numerical exampleboundary value problemBanach spacesurvey papercovnergenceSteffensen-type method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear boundary value problems for ordinary differential equations (34B15) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical computation of solutions to single equations (65H05) Numerical solutions to equations with nonlinear operators (65J15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (1)

Finite pairs of prescribed cycles of König's and Steffensen's methods for entire functions

Cites Work

• Boundary integral formulation and semi-implicit scheme coupling for modeling cells under electrical stimulation
• Semigroups of linear operators and applications to partial differential equations
• Derivation of cable equation by multiscale analysis for a model of myelinated axons
• Global existence and uniqueness of a three-dimensional model of cellular electrophysiology
• Extending Cable Theory to Heterogeneous Dendrites
• On an extension of the method of two-scale convergence and its applications
• Two-scale convergence in thin domains with locally periodic rapidly oscillating boundary
• Multiple traces formulation and semi-implicit scheme for modelling biological cells under electrical stimulation

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