This course is granted to undergraduates and also introduces college students to the formulation, methodology, and skills for numerical solution of engineering issues. Subjects covered include: fundamental concepts of digital computing and also the implications for algorithm accuracy and additionally stability, error propagation and additionally stability, the solution of techniques of linear equations, including direct and also iterative skills, beginnings of equations as well as techniques of equations, numerical interpolation, differentiation and additionally integration, fundamentals of finite-difference possibilities to traditional differential equations, and mistake as well as convergence researching.
Introduction Computer Architecture, Number Representations, Recursion
Error Propagation, Error Estimation, Condition Numbers
Linear Systems of Equations: Cramer’s Rule Gaussian Elimination
Linear Systems: Tri-diagonal Systems Special Matrices
Linear Systems: Iterative Methods Convergence of Iterative Schemes
Schmidt, Henrik. 2.993J Introduction to Numerical Analysis for Engineering (13.002J), Spring 2005. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed 30 Jul, 2012). License: Creative Commons BY-NC-SA