四川大学国际课程周
SICHUAN UNIVERSITY UIP 2022
课程名称 Course Title
Numerical Methods for Engineers

Based on a textbook co-authored by the instructor, ``Numerical Methods for Engineers'', by D.V. Griffiths and I.M. Smith, Chapman & Hall/CRC Press, 2015, this course combines theory with practical programming experience, in which all students will be given a powerful suite of pre-written programs for solving a wide range of engineering problems. Students will be introduced to the numerical techniques needed to obtain solutions to problems which are either intractable analytically or too tedious to tackle by traditional ``hand" techniques. Error analysis will be introduced where necessary, but the emphasis of the course will be directed towards obtaining solutions to the types of problems encountered by engineers in design, analysis and research.

课程大纲 Course Outline
"During the 16 lectures, the following topics will be covered: [a] Introduction and programming preliminaries: Philosophy of numerical analysis, programming languages, errors, introduction to course software. Discussion of the types of engineering problems which require solution by numerical methods. [b] Linear algebraic equations (Chapter 2):} Gaussian elimination, LU factorization, symmetry and banding, pivoting, iterative methods. [c] Nonlinear equations (Chapter 3):} Simple iteration, interpolation methods, extrapolation methods, systems of equations. Outcomes: Students will have a fundamental understanding of how the numerical algorithms work for solving linear and nonlinear equations. Student will also have access to a free suite of source code for solving a very wide range of engineering problems (many more than can be covered in this course) Reading: Students are encouraged to consult the textbook mentioned above."