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First Order Wave Equation INITIAL BOUNDARY VALUE PROBLEM(IBVP
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Easy technique for computing integrals Piecewise constant approach sian Quadra Convergence pI ssential role of orthogonal polynomials Multidimensional Integra Techniques for singular kernels Adapt ation and variable transformation Singular quadrature
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Outline for this Module Overview of Integral Equation Methods Important for many exterior problems (Fluids, Electromagnetics, Acoustics) Quadrature and cubature for computing integrals One and Two dimensional basics Dealing with Singularities
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Outline Laplace Problems Exterior Radiation Condition Green's function Ansatz or Indirect Approach Single and Double Layer Potentials First and Second Kind Equations Greens Theorem Approach First and Second Kind Equations
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1 Outline for this Module Slide 1 Overview of Integral Equation Methods Important for many exterior problems (Fluids, Electromagnetics, Acoustics) Quadrature and Cubature for computing integrals One and Two dimensional basics Dealing with Singularities 1st and 2nd Kind Integral Equations
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Formulations Model problem Strong Formulation Find u such that Vu=f in n2 a =0 on I for a polygonal domain
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Laplace Problems Exterior Radiation Condition Green’s function Ansatz or Indirect Approach Single and Double Layer Potentials First and Second Kind Equations Greens Theorem Approach First and Second Kind Equations
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6.1 引言 6.2 连续小波变换 6.3 离散小波变换 6.4 小波分析的应用
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5.1 引言 5.2 短时傅里叶变换 5.3 维格纳变换(WD) 5.4 时域离散信号的维格纳变换 5.5 时频分布的统一表示式 5.6 时频分析在编队目标架次检测中的应用
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2.1 引言 2.2 维纳滤波器的离散形式——时域解 2.3 离散维纳滤波器的z域解 2.4 维纳预测 2.5 卡尔曼(Kalman)滤波
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