Advanced Differential Equations: Asymptotics&Perturbations
Advanced Differential Equations: Asymptotics&Perturbations
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高级微分方程：渐进
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
J. Kutz
中科院分区：
文献类型：
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作者：
J. Kutz
逼近技术在求解微分方程的初值问题和边值问题中一直是重要的。数值、解析和摄动方法和技术的集成可以帮助为工程和物理科学中的许多现代问题产生有意义的近似解。这里给出了这样的方法的概述，重点是使用微扰技术揭示许多关键的性质和行为在实践中表现出跨不同的科学学科。
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.