Department of Mathematics Naval Postgraduate School, 2003. - 248
pages.
This course is designed to respond to the needs of the aeronautical engineering curricula by providing an applications oriented introduction to the finite difference method of solving partial differential equations arising from various physical phenomenon. This course will emphasize design, coding, and debugging programs written by the students in order to fix ideas presented in the lectures. In addition, the course will serve as an introduction to a course on analytical solutions of PDE's.
Elementary techniques including separation of variables, and the method of characteristics will be used to solve highly idealized problems for the purpose of gaining physical insight into the physical processes involved, as well as to serve as a theoretical basis for the numerical work which follows.
This course is designed to respond to the needs of the aeronautical engineering curricula by providing an applications oriented introduction to the finite difference method of solving partial differential equations arising from various physical phenomenon. This course will emphasize design, coding, and debugging programs written by the students in order to fix ideas presented in the lectures. In addition, the course will serve as an introduction to a course on analytical solutions of PDE's.
Elementary techniques including separation of variables, and the method of characteristics will be used to solve highly idealized problems for the purpose of gaining physical insight into the physical processes involved, as well as to serve as a theoretical basis for the numerical work which follows.