论文标题
高级微分方程：渐近和扰动
Advanced Differential Equations: Asymptotics & Perturbations
论文作者
论文摘要
近似技术在历史上对于求解微分方程而言一直很重要，无论是作为初始价值问题还是边界价值问题。数值，分析和扰动方法和技术的整合可以帮助为工程和物理科学中许多现代问题提供有意义的近似解决方案。此处给出了此类方法的概述，重点是使用扰动技术来揭示各种科学学科中实践中表现出的许多关键特性和行为。
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.
