| Relevance of Course Objectives and Core Learning Outcomes(%) |
Teaching and Assessment Methods for Course Objectives |
| Course Objectives |
Competency Indicators |
Ratio(%) |
Teaching Methods |
Assessment Methods |
1. Understand the basic concepts of numerical partial differential equations and how to use numerical methods to design calculation formats and obtain approximate solutions to partial differential equations.
2. Have a foundation in studying advanced numerical partial differential equations.
3. Have the basic research ability to conduct relevant topics.
1.了解數值偏微分方程的基本概念和如何使用數值方法設計計算格式，求得偏微分方程的近似解。
2.具備修習高等數值偏微分方程的基礎。
3.具備進行相關專題的基本研究能力。 |
| 2.Professional Knowledge in Mathematical Analysis |
| 4.Professional Knowledge in Scientific Computation |
| 5.Professional Knowledge in Computer Science |
|
|
| topic Discussion/Production |
| Networking/Distance Education |
| Visit |
| Exercises |
| Discussion |
| Practicum |
| Lecturing |
|
| Written Presentation |
| Oral Presentation |
| Quiz |
| Attendance |
| Assignment |
|
| Course Content and Homework/Schedule/Tests Schedule |
| Week |
Course Content |
| Week 1 |
Course Introduction
Basic concepts of numerical partial differential equations |
| Week 2 |
Advection equaltions: Wellposed-ness |
| Week 3 |
Summation-by-parts methods for numerical partial differential equations |
| Week 4 |
Numerical schemes for advection equations: stability analysis
|
| Week 5 |
Wave equations on a spherical surface
Grid construction: Cubed-sphere |
| Week 6 |
Numerical scheme for advcection equations on spherical surfaces (1)
|
| Week 7 |
Numerical scheme for advcection equations on spherical surfaces (2)
|
| Week 8 |
Numerical scheme for advcection equations on spherical surfaces (2)
|
| Week 9 |
Mid-term: Presentation |
| Week 10 |
Shallow water equations on a sphere
Skew-symmetric form |
| Week 11 |
Numerical scheme for shallow water equations on spherical surfaces (1)
Scheme construction |
| Week 12 |
Numerical scheme for shallow water equations on spherical surfaces (2)
Validation |
| Week 13 |
Numerical scheme for shallow water equations on spherical surfaces (3)
Simulation of flow over an isolated mountain |
| Week 14 |
Numerical scheme for shallow water equations on spherical surfaces (4)
Simulation of other wave problems |
| Week 15 |
Final: presentation |
| Week 16 |
|
self-directed
learning |
02.Viewing multimedia materials related to industry and academia.
|
|
| Evaluation |
Attendence: 10%
Homework: 20%
Mid-term (30%): Presentation(10%) and written report(20%)
Final(40%): Presnetation (20%) and written report (20%) |
| Textbook & other References |
| NA |
| Teaching Aids & Teacher's Website |
| Lecture notes will be provided in the I-learning system |
| Office Hours |
| Mon. 15:00-16:00 |
| Sustainable Development Goals, SDGs(Link URL) |
02.Viewing multimedia materials related to industry and academia.
| include experience courses：N |
|