Advanced Differential Equations: Asymptotics & Perturbations

Autor: Kutz, J. Nathan
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 119 pages, 37 figures
Databáze: arXiv