The methods of numerical analysis and numerical experiments are major pillars in Earth and planetary sciences, ranging from large-scale numerical calculation methods for various processes on earth and in space to numerical computations for analysis. In this course, the instructor will give lectures and exercises about the fundamentals of numerical calculations – matrix computations, solutions of non-linear equations and ordinary differential equations, numerical integration, solutions of partial differential equations, and the like. Students will also learn to use UNIX at the basic level and create graphs. In addition, students themselves work on numerical calculations for advanced problems applied to actual problems with earth and planetary sciences, from problem setting, development of a calculation method, execution, to the physical interpretation. They will make a presentation on their own study toward the end of the exercises. One class session consists of lectures and exercises for two periods each.
The goal of this course is to acquire the ability to make basic numerical calculations to carry out numerical analysis and numerical experiments necessary for the earth and planetary science research. Specifically, students will be given lectures and exercises about basic UNIX and numerical calculation methods. In addition, students are expected to acquire the ability to apply numerical calculations to various processes on earth and in space and to make a physical interpretation on the calculation results.
numerical calculation methods and exercises
✔ Specialist skills | Intercultural skills | Communication skills | ✔ Critical thinking skills | ✔ Practical and/or problem-solving skills |
Numerical calculation methods in the first half of the course and exercises in the second half
Course schedule | Required learning | |
---|---|---|
Class 1 | the basics of UNIX and how to plot figures | the basics of UNIX and how to plot figures |
Class 2 | numerical calculations and errors | numerical calculations and errors |
Class 3 | matrix, quadratic equation | matrix, quadratic equation |
Class 4 | system of linear equations | system of linear equations |
Class 5 | nonlinear equation | nonlinear equation |
Class 6 | ordinary differential equation, Euler's method | ordinary differential equation, Euler's method |
Class 7 | ordinary differential equation, Runge-Kutta method | ordinary differential equation, Runge-Kutta method |
Class 8 | system of ordinary differential equations | System of ordinary differential equations |
Class 9 | numerical integration | numerical integration |
Class 10 | partial differential equation, explicit method | partial differential equation, explicit method |
Class 11 | partial differential equation, implicit method | partial differential equation, implicit method |
Class 12 | set the research problem | set the research problem |
Class 13 | perform calculations | perform calculations |
Class 14 | analysis of the results | analysis of the results |
Class 15 | presentation | presentation |
nothing
announced during the lectures
presentation of exercises
nothing