麻省理工学院“开放式课程网页” | 航空宇航工程 | 16.901 Computational Methods in Aerospace Engineering, Spring 2003


课	SECTIONS	课程单元


1-11	Integration of Systems of Ordinary Differential Equations	Multi-step (Explicit and Implicit) and Multi-stage (i.e. Runge-Kutta) Integration for Scalar and Systems of ODE's Analysis of Stability and Accuracy Solution of Nonlinear Equations


12-20	Finite Difference Methods for Partial Differential Equations	Finite Difference Approximations of Derivatives Stability and Accuracy of Finite Difference Schemes Explicit vs. Implicit Time Discretizations Thomas Algorithm for Solution of Tri-diagonal Matrices


21-29	Finite Element Methods for Partial Differential Equations	Galerkin Finite Element Methods Essential and Natural Boundary Conditions Accuracy Gaussian Quadrature


30-37	Probabilistic Simulation Techniques	Monte Carlo Methods Response Surface Methods Moment Methods