Numerical Methods for Partial Differential Equations
N = bgbe a partition of the interval [a;b]. Then, the Lagrange form of interpolating polynomial is formulated as a linear combination of the so-called cardinal functions: p N(x) = XN i=0 L N;i(x)u(x i): (1.3) Here the cardinal functions are defined as L N;i(x) = YN j = 0 j 6= i x x j x i x j 2P N; (1.4) where P N is the set of polynomials of ...
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