1 Preliminaries 3
1.1 A Bit of History 4
1.2 Introduction 7
1.3 Motivation 8
1.3.1 Optics 8
1.3.2 Shape of a Liquid Drop 10
1.3.3 Optimization of a River-Crossing Trajectory 12
1.3.4 Summary 14
1.4 Extrema of Functions 14
1.5 Constrained Extrema and Lagrange Multipliers 17
1.6 Integration by Parts 20
1.7 Fundamental Lemma of the Calculus of
Variations 21
1.8 Adjoint and Self-Adjoint Differential Operators 22
Exercises 26
2 Calculus of Variations 28
2.1 Functionals of One Independent Variable 29
2.1.1 Functional Derivative 30
2.1.2 Derivation of Euler’s Equation 31
2.1.3 Variational Notation 33
2.1.4 Special Cases of Euler’s Equation 37
2.2 Natural Boundary Conditions 44
2.3 Variable End Points 53
2.4 Higher-Order Derivatives 56
2.5 Functionals of Two Independent Variables 56
2.5.1 Euler’s Equation 57
2.5.2 Minimal Surfaces 61
2.5.3 Dirichlet Problem 62
vii
viii Contents
2.6 Functionals of Two Dependent Variables 64
2.7 Constrained Functionals 66
2.7.1 Integral Constraints 66
2.7.2 Sturm-Liouville Problems 74
2.7.3 Algebraic and Differential Constraints 76
2.8 Summary of Euler Equations 80
Exercises 81
3 Rayleigh-Ritz, Galerkin, and Finite-Element Methods 90
3.1 Rayleigh-Ritz Method 91
3.1.1 Basic Procedure 91
3.1.2 Self-Adjoint Differential Operators 94
3.1.3 Estimating Eigenvalues of Differential Operators 96
3.2 Galerkin Method 100
3.3 Finite-Element Methods 103
3.3.1 Rayleigh-Ritz–Based Finite-Element Method 104
3.3.2 Finite-Element Methods in Multidimensions 109
Exercises 110
P A R T I I P H Y S I C A L A P P L I C A T I O N S 115
4 Hamilton’s Principle 117
4.1 Hamilton’s Principle for Discrete Systems 118
4.2 Hamilton’s Principle for Continuous Systems 128
4.3 Euler-Lagrange Equations 131
4.4 Invariance of the Euler-Lagrange Equations 136
4.5 Derivation of Hamilton’s Principle from the First Law of
Thermodynamics 137
4.6 Conservation of Mechanical Energy and the Hamiltonian 141
4.7 Noether’s Theorem – Connection Between
Conservation Laws and Symmetries in Hamil
2019-12-21 19:33:13
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这是关于小波理论的电子书，高清，最新版本，经典著作，英文版
2019-12-21 19:32:16
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这是关于优化算法的电子书，高清，最新版本，经典著作，英文版
2019-12-21 19:32:15
4.41MB
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Guojun Gan
York University Toronto, Ontario, Canada
Chaoqun Ma
Hunan University Changsha, Hunan, People’s Republic of China
Jianhong Wu
York University Toronto, Ontario, Canada
2019-12-21 19:30:31
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跟踪导航方面的权威巨著，绝对值得收藏！强烈推荐！
Estimation with Applications to Tracking and Navigation
【原书作者】： Yaakov Bar-Shalom, X.-Rong Li, Thiagalingam Kirubarajan
【ISBN 】： ISBN-10: 047141655X / ISBN-13: 978-0471416555
【页数 】：584
【出版社】 ：Wiley-Interscience，即John Wiley & Sons Inc.
【出版日期】：June 8, 2001
【文件格式】：PDF
【定价】: $116.95
2019-12-21 19:30:11
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BarShalom，李晓榕的跟踪导航方面的书籍。补全了12章，以及源码，方便下载！
2019-12-21 19:29:09
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Emerging non-volatile memory (NVM) technologies, such as PCRAM
and STT-RAM, are getting mature in recent years. These emerging NVM technologies
have demonstrated great potentials to be the candidates for future computer
memory architecture design. It is important for SoC designers and computer architects
to understand the benefits and limitations of such emerging memory technologies,
to improve the performance/power/reliability of future memory architectures.
This chapter gives a brief introduction of these memory technologies, reviews recent
advances in memory architecture design, discusses the benefits of using at various
levels of memory hierarchy, and also reviews the mitigation techniques to overcome
the limitations of applying such emerging memory technologies for future memory
architecture design.
2019-12-21 19:27:30
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数字信号处理——原理、算法与应用。国外电子与通信教材系列，方艳梅，刘永清 等译。Digital signal processing principles,algorithms,and applications 习题答案
2019-12-21 19:27:04
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雷达信号中的微多普勒效应的特征与应用，英文版，Victor C. Chen 的著作
2019-12-21 19:27:04
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