Multidimensional Integration : Partition and Conquer
نویسنده
چکیده
tional challenges. For the harmonic oscillator, a particle is subjected to a force directed toward the origin and proportional to the distance between the particle and the origin. The resulting potential is V(x) = 1/2 x2, where is a constant. This system is quite thoroughly understood, and quantities of interest can be computed in closed form. Alternatively, the Ginzburg-Landau anharmonic potential, –1/2 x2 + 1/4 x4 ( and are constant), is related to solution of the Schrödinger equation, and quantities of interest are computed approximately. One method of obtaining such approximations is numerical integration, which is our focus in this assignment.
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تاریخ انتشار 2004