Tuesday, January 20, 2015

Computational Fluid Dynamics - Elementary

In this post, the following topics are presented:
   (a) Linear Algebraic Systems
   (b) 1-D discrete data analysis
         (b-1) Lagrange interpolation
         (b-2) Spline interpolation
         (b-3) Least squares method
   (c) Curvilinear Coordinates
   (d) Higher Order Ordinary Differential Equations (ODEs)
         (d-1) Turning a higher order ODE to a system of 1st-order ODEs
         (d-2) Finding solutions for homogeneous equations
   (e) Partial Differential Equations - Classification
         (e-1) Hyperbolic PDEs
         (e-2) Parabolic PDEs
         (e-3) Elliptic PDEs
   (f) Finite Difference Approximations
   (g) Finite Differences - Higher Order Approximations
   (h) Stability of the Finite Difference Schemes
   (i) Integration: quadrature formulae
   (j) Runge-Kutta Method
   (k) Newton's Method (1-D, 2-D, and 3-D)

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