This paper offers a Bayesian framework for the calibration of financial models using neural stochastic differential equations ...

The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 94, No. 17 (Aug. 19, 1997), pp. 8936-8938 (3 pages) ...

Although the world in which we live in is non-linear, or multi-dimensional, engineers and scientists have long used linear mathematical formulas to create models to predict physical phenomena such as ...

Accounting for default risk in the valuation of financial derivatives has become increasingly important, especially since the 2007–8 financial crisis. Under some assumptions, the valuation of ...

A logarithmic excess-advertising model of a duopoly is presented, and Nash optimal open-loop advertising strategies are determined. It turns out that if the two firms use different discount rates, ...