2024 Faculty Courses School of Environment and Society Undergraduate major in Civil and Environmental Engineering
Computers and Applied Programming
- Academic unit or major
- Undergraduate major in Civil and Environmental Engineering
- Instructor(s)
- Takashi Nakamura
- Class Format
- Lecture/Exercise (Face-to-face)
- Media-enhanced courses
- -
- Day of week/Period
(Classrooms) - 3-4 Fri
- Class
- -
- Course Code
- CVE.M302
- Number of credits
- 0.50.50
- Course offered
- 2024
- Offered quarter
- 3Q
- Syllabus updated
- Mar 14, 2025
- Language
- Japanese
Syllabus
Course overview and goals
Introductions of Numerical analysis of differential equations appearing in the civil engineering is given. First, learn the solution of ordinary differential equation by Finite Difference Method (FDM) and its features, then, learn the solution of partial differential equations by FDM.
In this class, as well as learning the basic theoretical aspects of the numerical analysis method, we aim to learn the practical skill of numerical analysis through the computational practice of the programing.
Course description and aims
I. Acquire a skill to choose the appropriate numerical method depending on the problem.
II. Learn the basic knowledge on the typical numerical methods (advantages and disadvantages of each method).
III. Acquire a practical skill to implement the programing code.
Keywords
FDM solution of ordinary and partially differential equations, Explicit and Implicit, Interpolation, Finite Difference Approximation of gradients, Numerical error, Programing
Competencies
- Specialist skills
- Intercultural skills
- Communication skills
- Critical thinking skills
- Practical and/or problem-solving skills
Class flow
Lecture in the lecture room and practice in the computer practice room are done alternatively.
Course schedule/Objectives
| Course schedule | Objectives | |
|---|---|---|
| Class 1 | FDM Solution of differential equation - Discretization and numerical error | Review some numerical methods of ODE and consider causes of numerical error. |
| Class 2 | FDM Solution of ODE - Programing practice | Implement a programing code to solve the ODE |
| Class 3 | FDM Solution of PDE - Advection equation | Learn FDM to solve the advection equation. |
| Class 4 | FDM Solution of PDE - Programing practice | Implement a programing code to solve the Advection equation. |
| Class 5 | FDM Solution of PDE - Poisson equation and linear simultaneous equations | Learn FDM to solve the Poisson equation and linear simultaneous equations. |
| Class 6 | FDM Solution of PDE - Programing practice | Implement a programing code to solve the Poisson equation. |
| Class 7 | Parallel Computation - Introduction of MPI programing | Learn MPI programing to accelerate the numerical simulation. |
Study advice (preparation and review)
To enhance effective learning, students are encouraged to spend approximately 100 minutes preparing for class and another 100 minutes reviewing class content afterwards (including assignments) for each class.
They should do so by referring to textbooks and other course material.
Textbook(s)
A textbook is not specified. Some materials will be distributed in each class.
Reference books, course materials, etc.
None
Evaluation methods and criteria
Based on a report submitted in the end of class, understanding of "theory and features of FDM" and acquiring of "skill of programing" are evaluated.
Related courses
- CVE.M301 ： Computers and Fundamental Programming
Prerequisites
Take a credit of "Computers and Fundamental Programming".