NAIVE SINGULAR PERTURBATION THEORY

DOI10.1142/S0218202501000787zbMath1020.34047MaRDI QIDQ4798855

Robert E. jun. O'Malley

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

spikesasymptotic expansionsBessel functionsshocksinitial layerscanardsfirst-order ordinary differential equationssingularly perturbed initial value problems

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Numerical methods for initial value problems involving ordinary differential equations (65L05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13)

Related Items

Singular perturbation and initial layer for the abstract Moore-Gibson-Thompson equation, On parabolic boundary layers for convection-diffusion equations in a channel: Analysis and numerical applications, On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé, Numerical approximation of convection-diffusion equations in a channel using boundary layer elements, Singularly perturbed reaction–diffusion equations in a circle with numerical applications

Cites Work

• On transformations of graded matrices, with applications to stiff ODE's
• Slowly Varying Jump and Transition Phenomena Associated with Algebraic Bifurcation Problems
• Stiff systems of ordinary differential equations
• Overstability: towards a global study