Spherical approximation techniques form a cornerstone of modern numerical integration on curved domains. These methods seek to approximate integrals over the unit sphere or related manifolds by ...
Stochastic differential equations (SDEs) provide a mathematical framework for systems subject to both deterministic forces and random perturbations, and they underpin models in fields ranging from ...
In their 2001 paper, Longstaff and Schwartz suggested a method for American option pricing using simulation and regression, and since then this method has rapidly gained importance. However, the idea ...
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