Uniform convergence of monotone iterative methods for semilinear singularly perturbed problems of elliptic and parabolic types

zbMath1077.65096MaRDI QIDQ2388706

Igor P. Boglaev

Publication date: 19 September 2005

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/125397

zbMATH Keywords

singular perturbationnumerical experimentssemilinear parabolic equationsemilinear elliptic equationreaction-diffusion problem, convection-diffusion problem, discrete monotone iterative method, uniform convergence

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (3)

Uniform quadratic convergence of monotone iterates for nonlinear singularly perturbed parabolic problems ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Uniform convergent monotone iterates for semilinear singularly perturbed parabolic problems

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