Partial differential equation (PDE)
SLADI: a semi-Lagrangian alternating-direction implicit method for the numerical solution of advection–diffusion problems with application to electricity storage valuations
In this paper, an efficient and novel methodology for numerically solving advection–diffusion problems is presented.
A non-linear PDE for XVA by forward Monte Carlo
Vladimir Piterbarg considers a non-linear partial differentiation equation that appears in a number of XVA-related contexts, including a one-way credit-support annex, credit value adjustment with risky closeout, option pricing with differential borrowing…