High order iterative schemes for quadratic equations

DOI10.1007/s11075-008-9206-7zbMath1155.65039OpenAlexW1965022963MaRDI QIDQ937190

Fernando Manzano, Sonia Busquier, Virginia Alarcón, Sergio Amat

Publication date: 20 August 2008

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-008-9206-7

zbMATH Keywords

numerical experimentsPoisson's equationChebyshev methoditerative methodssemilocal convergencequadratic equationsfast multiresolution algorithmshigh-order of convergence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solutions to equations with nonlinear operators (65J15) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

Third-order methods on Riemannian manifolds under Kantorovich conditions ⋮ Regarding the accuracy of optimal eighth-order methods

Uses Software

• CSparse

Cites Work

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• A fast Chebyshev's method for quadratic equations.
• An adaptive version of a fourth-order iterative method for quadratic equations
• Third-order iterative methods under Kantorovich conditions
• Direct Methods for Sparse Linear Systems
• Complexity of Bezout's Theorem I: Geometric Aspects
• Topological separability and axioms of countability in GPO-spaces

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