Computational method for a singular perturbation problem via domain decomposition and its parallel implementation

DOI10.1016/0096-3003(93)90080-XzbMath0776.65055OpenAlexW2023019616MaRDI QIDQ2366629

Vadim V. Sirotkin, Igor P. Boglaev

Publication date: 30 August 1993

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

Full work available at URL: https://doi.org/10.1016/0096-3003(93)90080-x

zbMATH Keywords

convergencesingular perturbationnumerical examplesdomain decompositioniterative algorithmsparallel computingSchwarz alternating procedure

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Parallel numerical computation (65Y05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular perturbations for ordinary differential equations (34E15)

Related Items

Iterative domain decomposition algorithms for the solution of 2-D eddy current problem ⋮ Iterative algorithms of domain decomposition for the solution of a quasilinear elliptic problem ⋮ The solution of singularly perturbed semilinear elliptic problems by iterative domain decomposition algorithms ⋮ Iterative domain decomposition algorithms for the solution of singularly perturbed parabolic problems ⋮ A robust overlapping Schwarz domain decomposition algorithm for time-dependent singularly perturbed reaction-diffusion problems ⋮ A second-order parameter-uniform overlapping Schwarz method for reaction-diffusion problems with boundary layers ⋮ Solution of the 2-D eddy current problem via the domain decomposition methods on serial and parallel computers ⋮ Two-level parallel Schwarz methods for singularly perturbed semilinear elliptic problems ⋮ A survey of numerical techniques for solving singularly perturbed ordinary differential equations

Cites Work

• Approximate solution of a non-linear boundary value problem with a small parameter for the highest-order differential
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