• Scope of the course? (课程涵盖范围) • Applications (应用) • Prerequisites (先修知识要求) • Solution procedure (课程内容概览) • What did we learn from mechanics of material (材力概念回顾) • Generalization of concepts (材力概念扩展) • A 1D example of boundary value problems (1D边值问题示例) • Course outline (课程主要内容) • References (参考书目) • Grading and collaboration policies (评分政策) • Greek letters (希腊字母)
Algorithms for detecting structure similarity Dynamic Programming works on 1D strings- reduce problem to this cant accommodate topological changes example: Secondary Structure Alignment Program(SSAP) 3D Comparison/Clustering
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
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