ScientificComputing科學计算.pptVIP

Scientific Computing: Introduction Scientific Computing科學計算 Roger Jang (張智星) jang@ /jang CSIE Dept, National Taiwan University Background “Linear Algebra” and “Numerical Methods” tends to be very dry… Numerous theorems Rank, null space… Linear transformation Eigenvalues Gauss elimination QR decomposition … Where is the application? “Scientific Computing” come to the rescue! A course to bridge the gap between LA/NM and applications With emphases on Problem solving Hands-on coding Data approach visualization Real-world applications Objectives (1/2) Programming Matrix computation Programming Paradigms Debugging Documentation Animation visualization Basics of multimedia processing, including texts, audio, images … Methodologies Least-squares estimate Approximation Interpolation PDF modeling Machine learning Data clustering Pattern recognition Dynamic programming Numerical optimization … Everyone is doing this, Including Obama! Objectives (2/2) Applications Financial computing Loan and mortgage Insurance Least-squares estimate Data fitting Data clustering Image data compression Object identification Classification retrieval Texts, audio, images… Principal component analysis Dimensionality reduction Data fitting Page rank Google’s page rank Team ranking Dynamic programming String similarity Object tracking Fractals Prerequisites Prerequisites for STEM (science, technology, engineering, and mathematics) students Calculus: strong prerequisite You need to know how to do differentiation Linear algebra: strong prerequisite You need to know matrix operations, determinant, etc. Probability: weak prerequisite For non-STEM students Please talk to me first before taking the course Text and Reference Books Textbooks MATLAB程式設計【入門篇】 by Roger Jang Online tutorial of Data Clustering and Pattern Recognition by Roger Jang Note that there is no single book that covers all aspects of scientific computing. Reference books Experiments with MATLAB by Cleve Moler Numerical comput