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 ...

In the fields of engineering and science, partial differential equations (PDEs) have extensive applications and significant potential for modeling natural and physical phenomena. These equations ...

Across modern data-intensive disciplines, the union of numerical computation, statistics, and machine learning has become ...

We propose to use stratified approximations based on the gamma and lognormal distributions for the pricing of options on average, such as Asian options and bond prices in the Dothan model. We show ...

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 ...