Advanced Differential Equations: Asymptotics & Perturbations

Understand

Approximation techniques have been historically important for solving differential equations, both as initial value problems and boundary value problems.

• The integration of numerical, analytic and perturbation methods and techniques can help produce meaningful approximate solutions for many modern problems in the engineering and physical sciences.
• An overview of such methods is given here, focusing on the use of perturbation techniques for revealing many key properties and behaviors exhibited in practice across diverse scientific disciplines.