Differential Equations, Mechanics, and Computation
Differential Equations, Mechanics, and Computation
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微分方程、力学和计算
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
Robert Palais
中科院分区：
文献类型：
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作者：
R. Palais;Robert Palais
这个题目适合对常微分方程和数值方法感兴趣的本科生和研究生。这本书提供了一个概念性的介绍理论的常微分方程，集中在初始值问题的方程的演变和应用变分法和经典力学，沿着讨论混沌理论和生态模型。它对数值方法的理论进行了仔细的介绍，并对各种数值解算法的误差和稳定性进行了不寻常的分析。虽然这本书将是适合作为教科书的本科生或小学研究生课程在常微分方程，作者设计的文本也是有用的动机学生希望学习的材料对自己或希望补充一个常微分方程教科书正在使用的过程中，他们正在采取一个文本提供一个更概念性的方法的问题。
This title is suitable for undergraduate and graduate students interested in ordinary differential equations and numerical methods. This book provides a conceptual introduction to the theory of ordinary differential equations, concentrating on the initial value problem for equations of evolution and with applications to the calculus of variations and classical mechanics, along with a discussion of chaos theory and ecological models. It has a careful introduction to the theory of numerical methods with an unusual treatment of the analysis of errors and stability of various numerical solution algorithms. While the book would be suitable as a textbook for an undergraduate or elementary graduate course in ordinary differential equations, the authors have designed the text also to be useful for motivated students wishing to learn the material on their own or desiring to supplement an ODE textbook being used in a course they are taking with a text offering a more conceptual approach to the subject.