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

Formulations Model problem Strong Formulation Find u such that Vu=f in n2 a =0 on I for a polygonal domain

5.1 自旋卫星的稳定性和章动性 5.2 自旋卫星的章动阻尼 5.3 双自旋卫星稳定系统 5.4 重力梯度稳定系统 5.5 重力梯度稳定卫星的天平动阻尼

Goals Theory A priori A priori error estimates N1 bound various“ measures” of u exact]-un [approximate] in terms of C(n, problem parameters h [mesh diameter, and u

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

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

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

First Order Wave Equation INITIAL BOUNDARY VALUE PROBLEM(IBVP

北京航空航天大学：数字图像处理技术的应用

1. 绪论 2. 水和废水监测 3. 大气和废气监测 4. 固体废物监测 5. 土壤污染监测 6. 生物污染监测 7. 噪声监测