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Titlebook: Scientific Computing with Mathematica®; Mathematical Problem Addolorata Marasco,Antonio Romano Book 2001 Springer Science+Business Media Ne

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书目名称Scientific Computing with Mathematica®
副标题Mathematical Problem
编辑Addolorata Marasco,Antonio Romano
视频video
概述Includes supplementary material:
丛书名称Modeling and Simulation in Science, Engineering and Technology
图书封面Titlebook: Scientific Computing with Mathematica®; Mathematical Problem Addolorata Marasco,Antonio Romano Book 2001 Springer Science+Business Media Ne
描述Many interesting behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs. In particular, a chapter is devoted to the use ODEs and Mathematica in the Dynamics of rigid bodies. Mathematical methods and scientific computation are dealt with jointly to supply a unified presentation. The main problems of ordinary differential equations such as, phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems are covered in an integrated fashion with numerous worked examples and computer program demonstrations using Mathematica. Topics and Features:*Explains how to use the Mathematica package ODE.m to support qualitative and quantitative problem solving *End-of- chapter exercise sets incorporating the use of Mathematica programs *Detailed description and explanation of the mathematical procedures un
出版日期Book 2001
关键词Boundary value problem; Computer; Mathematica; calculus; differential equation; modeling; scientific compu
版次1
doihttps://doi.org/10.1007/978-1-4612-0151-9
isbn_softcover978-1-4612-6635-8
isbn_ebook978-1-4612-0151-9Series ISSN 2164-3679 Series E-ISSN 2164-3725
issn_series 2164-3679
copyrightSpringer Science+Business Media New York 2001
The information of publication is updating

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Stability: The Critical Case, approach, the ., the stability of the origin is inferred by a function .(.) with suitable properties. In the second approach, the stability of the origin is determined by the linearized version of (5.1). This method is very simple because it requires knowledge of the eigenvalues of the Jacobian mat
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Bifurcation in ODEs,vation to study different problems related to them: existence and uniqueness of solutions, approximate methods to find solutions, and qualitative analysis to discover their properties (see, e.g., [1], [2], [7]).
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