Mathematics of Computation, Vol. 87, No. 313 (September 2018), pp. 2189-2232 (44 pages) We develop a surface hopping algorithm based on frozen Gaussian approximation for semiclassical matrix ...

Brilliant figures such as Sergey Nikitovich Mergelyan (1928-2008) defined the 20th century as an era for extraordinary ...

Get ready for a math-themed celebration today, because July 22 marks Pi Approximation Day. On this day, we celebrate all things related to the mathematical constant. Among the many mathematical ...

This paper presents a saddlepoint approximation to the cumulative distribution function of a random vector. The proposed approximation has accuracy comparable to that of existing expansions valid in ...

Discover how Ramanujan's century-old pi formulas connect to modern cosmology and turbulent fluid physics in groundbreaking new research.