This is the first course in numerical analysis for graduate students. The objectives of the course include: (1) Development and applications of numerical methods when analytical techniques are not available; (2) Numerical differentiation and integration; (3) Numerical solution of ODEs and PDEs; (4) To get familiar with different types of commercial software.
Week 1 Introduction and some useful software Week 2 Introduction and installation of python Week 3 Interpolation Week 4 Numerical differentiation Week 5 Numerical integration Week 6 Numerical solution of ODEs Week 7 (4/2 holiday) Week 8 Numerical solution of ODEs Week 9 Numerical solution of PDEs Week 10 Numerical solution of PDEs Week 11 Numerical solution of PDEs Week 12 Discrete element method: PFC Week 13 Presentation and discussion of PFC Week 14 Discrete element method: UDEC Week 15 Presentation and discussion of UDEC Week 16 Finite difference method: FLAC Week 17 Presentation and discussion of FLAC Week 18 Project submission
Homework and presentation (70%)、Project (20%)、Attendance (10%)
Parviz Moin (2010), Fundamentals of engineering numerical analysis, second edition. Cambridge University press.