An inexact monotone method for solving semilinear parabolic problems

DOI10.1016/j.amc.2012.09.067zbMath1309.65117OpenAlexW2026354649MaRDI QIDQ2019012

Igor P. Boglaev

Publication date: 26 March 2015

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.09.067

zbMATH Keywords

monotone convergenceinexact Newton methodsemilinear parabolic probleminexact monotone method

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Semilinear parabolic equations (35K58)

Cites Work

• Monotone iterates with quadratic convergence rate for solving weighted average approximations to semilinear parabolic problems
• Accelerated monotone iterative methods for finite difference equations of reaction-diffusion
• Higher-order monotone iterative methods for finite difference systems of nonlinear reaction-diffusion-convection equations
• Block Monotone Iterative Method for Semilinear Parabolic Equations with Nonlinear Boundary Conditions
• Inexact Newton Methods
• Choosing the Forcing Terms in an Inexact Newton Method
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