This paper addresses a finite difference approximation for an infinite dimensional Black-Scholes equation obtained by Chang and Youree (2007). The equation aris
This paper considers dynamical systems under feedback with control actions limited to switching. The authors wish to understand the closed-loop systems as appro
This paper applies bilinear immersed finite elements (IFEs) in the interior penalty discontin-uous Galerkin (DG) methods for solving a second order elliptic equ
The authors employ the recent stochastic-control-based approach to financial mathematics to solve a problem of determination of the risk premium for a stochasti
This paper studies an initial-boundary-value problem (IBVP) of the Korteweg-de Vries equation posed on a finite interval with general nonhomogeneous boundary co
Stock loans are business contracts between borrowers and lenders in which the borrower uses shares of stock as collateral for the loan.Since the value of the co