Integral Equation Methods Reminder about galerkin and Collocation Example of convergence issues in 1D First and second kind integral equations Develop some intuition about the difficulties Convergence for second kind equations Consistency and stability issues

Integral Equation Methods Reminder about Galerkin and collocation Example of convergence issues in 1D First and second kind integral equations Develop some intuition about the difficulties Convergence for second kind equations Consistency and stability issues Nystrom Method

Outline Easy technique for computing integrals Piecewise constant approach Gaussian Quadrature Convergence properties Essential role of orthogonal polynomials Multidimensional Integrals Techniques for singular kernels Adaptation and variable transformation Singular quadrature

1 Model problem 1.1 Formulations 1.1.1 Strong formulation LIDE Find a such that for Q a polygonal domain Generalizat ion We look here at a particularly simple but nevertheless illustrative problem

Outline Reminder about 1-D 1st and 2nd Kind egns Three-D Laplace Problems Interior Neumann Problem Null space issue First Kind Theory for 3-D Laplace Informal Convergence Theory

麻省理工学院：偏微分方程式数字方法（英文版）_lec26

3.1 噪声的评价量 3.2 环境噪声的评价标准与法规

2.1 声音的产生和传播 2.2 声波的描述 2.3 声波的传播特性 2.4 声源的辐射特性

8.1 概述 8.2 隔声结构 8.3 隔声装置 8.4 隔声设计

4.1 测量仪器 4.2 声强及声功率测量 4.3 环境噪声监测方法