The Numerical Solution of a Challenging Class of Turning Point Problems

DOI10.1137/S1064827503394442zbMATH Open1147.34346OpenAlexW2059656648MaRDI QIDQ4442510

Ping Lin, Robert E. jun. O'Malley

Publication date: 20 January 2004

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827503394442

zbMATH Keywords

singular perturbationsturning pointsmultistep methodsODE solversRunge--Kutta methods

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (4)

The numerical calculation of topological turning points ⋮ On necessary and sufficient conditions for numerical verification of double turning points ⋮ An algorithm for autonomously plotting solution sets in the presence of turning points ⋮ A review on singularly perturbed differential equations with turning points and interior layers

Uses Software

• MATLAB ODE suite
• Title not available (Why is that?)

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