On the Nipp polyhedron algorithm for solving singular perturbation problems

DOI10.1016/S0378-4754(01)00354-8zbMath0995.65075MaRDI QIDQ1349169

Raya Khanin

Publication date: 21 May 2002

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

zbMATH Keywords

singular perturbationasymptotic expansionspolyhedron algorithm

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Singular perturbations for ordinary differential equations (34E15)

Uses Software

• Maple

Cites Work

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• Linear turning point theory
• Asymptotic methods for relaxation oscillations and applications
• Perturbation methods in applied mathematics
• Singular perturbation methods for ordinary differential equations
• An algorithm for enumerating all vertices of a convex polyhedron
• Symbolic asymptotics: Multiseries of inverse functions
• Newton polyhedra and power transformations
• Transformation of boundary value problems into initial value problems
• Basic Concepts Underlying Singular Perturbation Techniques

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