Computation of an Infinite Integral Using Romberg'S Method


A numerical computation in crystallography involves the integral g(a)=∫0 +∞[(exp  x +exp −x ) a −exp  ax −exp −ax ] dx, 0<a<2. A first approximation value for g(5/3)=4.45 has been given. This result has been obtained by a classical method of numerical integration. It has been followed in an other paper by a second one 4.6262911 obtained from a theoretical… (More)
DOI: 10.1023/B:NUMA.0000040066.63826.46


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