Our method for call options is summarised in the following algorithm: (1) We device the time interval into the grid 0≡t_0<t_1<...<t_n≡T and let D_0,D_1...,D_n be some values for the underlying asset ...

On Saturday, Aug. 9, 2025, a Jay Cutler football card sold in an eBay auction for $12,107, a new record sale for one of his cards. Not only was it a new record, but it more than doubled the previous ...

ABSTRACT: This paper presents a comprehensive numerical study of the two-dimensional time-dependent heat conduction equation using the Forward Time Centered Space (FTCS) finite difference scheme. The ...

Using tumor growth modeling and informed neural networks as early predictive clinical endpoints. 2007 Continuous dispersion for invasive motility. 2009 Invasive growth with cell density and oxygen.

Abstract: Two approximate Crank–Nicolson finite-difference time-domain (CN-FDTD) methods are presented for a two-dimensional $TE_{z}$ wave. The stability conditions ...

Abstract: When a finite-difference time-domain (FDTD) method is constructed by applying the Crank-Nicolson (CN) scheme to discretize Maxwell's equations, a huge sparse irreducible matrix results, ...

In this paper we use a variational quantum algorithm to solve initial value problems with the implicit Crank-Nicolson and the method of lines (MoL) evolution schemes. The unknown functions use a ...

ABSTRACT: The energy norm convergence rate of the finite element solution of the heat equation is reduced by the time-regularity of the exact solution. This paper presents an adaptive finite element ...