NUMERICAL METHODS - University of Houston
NUMERICAL METHODS
CHECKLIST of METHODS (which I would expect a student to have some familiarity with)
• Bisection Method
• Newton’s Method (for finding zero of function)
• Lagrange interpolating polynomial
• Newton form of the interpolating polynomial
• Cubic splines
• Numerical Differentiation formulas
• Newton-Cotes formulas
o Trapezoidal Rule
o Simpson’s Rule
• Composite Trapezoidal Rule
• Gaussian Quadrature
• Taylor methods
o Euler’s method
o Others
• Runge-Kutta methods
• Gaussian elimination with backward substitution
• LU factorization
• Jacobi method
• Gauss-Seidel method
Of course, I spent more time on some methods and very little time on others during the classes. The more time I spent on the method, the more I expect from you about the method.
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