Mtg 35: Thurs, 12Nov09
Gauss Legendre quadrature (numerical integration}
Quadrature; QUAD-->quadrilateral-->Greek: measuring areas
Cubature; CUBE; Volume cubes
with the roots for , where n is the degree of and being the weight
Ex: (2 point interpolation)
HW: verify table for Gauss Legendre quadrature in wikipedia, analytical expression of and and (n=integration points) after verifying the expression for with ; (see HW p31-3 )
Evaluate numerically and and compute results with Abram & Stegum (see lecture plan)
Question: How does Gauss Legendre quadrature compare to other quadrature methods, e.g. trapezoidal rule?
Answer: Look at , Eq.(3) P.35-2. Consider ...