ISBN:978-7-04-032298-9
出版时间:2012-02-09
语种:
开本:特殊
页数:565
同伦分析方法与非线性微分方程(英文版)
作 者:廖世俊
定价:  98.00元 购买
  • 内容简介

    本书与Springer合作出版。

    本书介绍同伦分析方法的基本思想、理论上的发展与完善以及新的应用。全书分三个部分。第一部分描述同伦分析方法的基本思想和相关理论。第二部分给出基于同伦分析方法和计算机代数软件 Mathematica 开发的软件包 BVPh 1.0 及其应用举例。该软件包可以求解具有多解、奇性、多点边界条件的多种类型的非线性边值问题。第三部分给出同伦分析方法求解非线性偏微分方程的一些典型例子,如美式期权问题、任意多个波浪的共振条件等。本书提供可免费下载的 Mathematica 程序,以方便读者更好地理解和应用该方法。

    本书适合于应用数学、物理、非线性力学、金融和工程等领域对强非线性问题解析近似解感兴趣的科研人员和研究生。

    This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law.

    The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.

关键词 数学类
目录
内封   
PDF (272 KB) (
版权   
PDF (1 MB) (
目录   
PDF (22 KB) (
FrontMatter   
PDF (15 KB) (
PartIBasicIdeasandTheorems
1Introduction   
摘要   PDF (219 KB) ( ) P. 3-14
2BasicIdeasoftheHomotopyAnalysisMethod   
摘要   PDF (1 MB) ( ) P. 15-94
3OptimalHomotopyAnalysisMethod   
摘要   PDF (676 KB) ( ) P. 95-130
4SystematicDescriptionsandRelatedTheorems   
摘要   PDF (949 KB) ( ) P. 131-188
5RelationshiptoEulerTransform   
摘要   PDF (721 KB) ( ) P. 189-222
6SomeMethodsBasedontheHAM   
摘要   PDF (157 KB) ( ) P. 223-238
PartIIMathematicaPackageBVPhandItsApplications
7MathematicaPackageBVPh   
摘要   PDF (446 KB) ( ) P. 239-284
8NonlinearBoundary-valueProblemswithMultipleSolutions   
摘要   PDF (525 KB) ( ) P. 285-314
9NonlinearEigenvalueEquationswithVaryingCoefficients   
摘要   PDF (955 KB) ( ) P. 315-362
10ABoundary-layerFlowwithanInfiniteNumberofSolutions   
摘要   PDF (340 KB) ( ) P. 363-382
11Non-similarityBoundary-layerFlows   
摘要   PDF (298 KB) ( ) P. 383-402
12UnsteadyBoundary-layerFlows   
摘要   PDF (351 KB) ( ) P. 403-424
PartIIIApplicationsinNonlinearPartialDifferentialEquations
13ApplicationsinFinance:AmericanPutOptions   
摘要   PDF (764 KB) ( ) P. 425-460
14TwoandThreeDimensionalGelfandEquation   
摘要   PDF (457 KB) ( ) P. 461-492
15InteractionofNonlinearWaterWaveandNonuniformCurrents   
摘要   PDF (497 KB) ( ) P. 493-522
16ResonanceofArbitraryNumberofPeriodicTravelingWaterWaves   
摘要   PDF (743 KB) ( ) P. 523-562
Index   
PDF (19 KB) ( ) P. 563-565
非线性物理科学系列NPS
Mathematical Theory of Dispersion-Manage
Long-range Interactions, Stochasticity
Fractional Dynamics: Applications of Fra
Self-organization and Pattern-formation
Nonlinear Deformable-body Dynamics 非线性物
Hamiltonian Chaos Beyond the KAM Theory
Complex Systems:Fractionality, Time-delay and Synchronization
Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation
线性与非线性积分方程:方法及应用
物理及工程中的分数维微积分: 第I卷 数学基础及其理论(英文版) (Fracti
Continuous Dynamical Systems (英文版) (连续动
李群分析在地球物理流体动力学中的应用
动态域上的不连续动力系统
物理及工程中的分数维微积分: 第II卷 应用 (英文版) (Fraction
不连续动力系统
变换群和李代数(英文版) (Transformation Groups and
微分方程群性质理论讲义 (Lectures on the Theory of G
时滞动力系统的分析与控制 (英文版) (Advances in Analysis
Keller-Box 方法及其应用(英文版)
Waves and structures in nonlinear nondis
离散和切换动力系统 (英文版) Discrete and Switching D
流动非线性及其同伦分析: 流体力学和传热(英文版)(Nonlinear Flow
Approximate and Renormgroup Symmetries
Hyperbolic Chaos: A Physicist`s View双曲混
Discontinuous Dynamical Systems on Time-
准混沌冲击振子:重正化,符号动力学及运动迁移现象(英文版) Pseudochao
非线性变形体动力学
混沌信号处理 (Chaotic Signal Processing)(英文版)