The problem of calculating an integral numerically occurs very often in physics. If it involves a one-dimensional integration, and if the integrand is a smooth function, then no difficulties arise with the personal computer. One discretises the integrand over an equidistant mesh and applies a simple rule of integration such as the trapezoidal rule or the Simpson Rule. The required accuracy is achieved by choice of a sufficiently small mesh width.
KeywordsLegendre Polynomial Trapezoidal Rule Mesh Point Double Precision Integration Weight
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