週次 |
授課內容 |
第1週 |
Course Introduction
Basic concepts of numerical partial differential equations |
第2週 |
Advection equaltions: Wellposed-ness |
第3週 |
Summation-by-parts methods for numerical partial differential equations |
第4週 |
Numerical schemes for advection equations: stability analysis
|
第5週 |
Wave equations on a spherical surface
Grid construction: Cubed-sphere |
第6週 |
Numerical scheme for advcection equations on spherical surfaces (1)
|
第7週 |
Numerical scheme for advcection equations on spherical surfaces (2)
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第8週 |
Numerical scheme for advcection equations on spherical surfaces (2)
|
第9週 |
Mid-term: Presentation |
第10週 |
Shallow water equations on a sphere
Skew-symmetric form |
第11週 |
Numerical scheme for shallow water equations on spherical surfaces (1)
Scheme construction |
第12週 |
Numerical scheme for shallow water equations on spherical surfaces (2)
Validation |
第13週 |
Numerical scheme for shallow water equations on spherical surfaces (3)
Simulation of flow over an isolated mountain |
第14週 |
Numerical scheme for shallow water equations on spherical surfaces (4)
Simulation of other wave problems |
第15週 |
Final: presentation |
第16週 |
Self-study: studying journal papers |
自主學習 內容 |
   02.閱覽產業及學術相關多媒體資料
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