Newton's method and a mesh-independence principle for certain semilinear boundary-value problems

DOI10.1016/j.cam.2015.07.004zbMath1327.65140OpenAlexW961605979MaRDI QIDQ495063

Ezequiel Dratman, Guillermo Matera

Publication date: 9 September 2015

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2015.07.004

zbMATH Keywords

Newton's methodNeumann boundary conditionsboundary-value problemscomplete cubic splinesmesh-independence principleNewton-Mysovskikh's theorem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Finite difference and finite volume methods for ordinary differential equations (65L12)

Related Items (2)

On the solution of the polynomial systems arising in the discretization of certain ODEs ⋮ Complexity of certain nonlinear two-point BVPs with Neumann boundary conditions

Uses Software

• NewtonLib

Cites Work

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