Parallel initial-value algorithms for singularly perturbed boundary-value problems

DOI10.1007/BF00940053zbMath0790.65076OpenAlexW2020688750MaRDI QIDQ1321194

Maria Grazia Gasparo, Maria Macconi

Publication date: 27 April 1994

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00940053

zbMATH Keywords

performancesingular perturbationparallel computinginitial-value methodssemilinear singularly perturbed boundary-value problems

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 (10)

An asymptotic initial-value method for second order singular perturbation problems of convection-diffusion type with a discontinuous source term ⋮ A brief survey on numerical methods for solving singularly perturbed problems ⋮ Asymptotic initial value methods for two-parameter singularly perturbed boundary value problems for second order ordinary differential equations. ⋮ Asymptotic initial-value method for singularly-perturbed boundary-value problems for second-order ordinary differential equations ⋮ Computational methods for reaction--diffusion problems for fourth order ordinary differential equations with a small parameter at the highest derivative. ⋮ An asymptotic initial value method for boundary value problems for a system of singularly perturbed second order ordinary differential equations. ⋮ Asymptotic initial-value method for second-order singular perturbation problems of reaction-diffusion type with discontinuous source term ⋮ Asymptotic initial-value method for a system of singularly perturbed second-order ordinary differential equations of convection–diffusion type ⋮ Multipoint boundary-value solution of two-point boundary-value problems ⋮ Improvement of numerical solution of self-adjoint singular perturbation problems by incorporation of asymptotic approximations

Cites Work

• An approach to singular perturbation problems insoluble by asymptotic methods
• Numerical solution of second-order nonlinear singularly perturbed boundary-value problems by initial-value methods
• Initial-value methods for second-order singularly perturbed boundary- value problems
• Automatic Selection of Methods for Solving Stiff and Nonstiff Systems of Ordinary Differential Equations
• Differential Inequalities of Higher Order and the Asymptotic Solution of Nonlinear Boundary Value Problems

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