Efficient and stable numerical solution of the Heston–Cox–Ingersoll–Ross partial differential equation by alternating direction implicit finite difference schemes
T Haentjens - International Journal of Computer Mathematics, 2013 - Taylor & Francis
This paper concerns the numerical solution of the three-dimensional Heston–Cox–Ingersoll–
Ross partial differential equation for the fair values of European-style financial options. We …
Ross partial differential equation for the fair values of European-style financial options. We …
Stability of ADI schemes for multidimensional diffusion equations with mixed derivative terms
KJ in ʼt Hout, C Mishra - Applied Numerical Mathematics, 2013 - Elsevier
In this paper the unconditional stability of four well-known ADI schemes is analyzed in the
application to time-dependent multidimensional diffusion equations with mixed derivative …
application to time-dependent multidimensional diffusion equations with mixed derivative …
Convergence analysis of the Modified Craig–Sneyd scheme for two-dimensional convection–diffusion equations with nonsmooth initial data
M Wyns - IMA Journal of Numerical Analysis, 2017 - academic.oup.com
In this article we consider the Modified Craig–Sneyd (MCS) scheme which forms a
prominent time-stepping method of the Alternating Direction Implicit type for …
prominent time-stepping method of the Alternating Direction Implicit type for …
Stability of the modified Craig–Sneyd scheme for two-dimensional convection–diffusion equations with mixed derivative term
KJ in't Hout, C Mishra - Mathematics and Computers in Simulation, 2011 - Elsevier
Abstract The modified Craig–Sneyd (MCS) scheme is a promising splitting scheme of the
ADI type for multi-dimensional pure diffusion equations having mixed spatial-derivative …
ADI type for multi-dimensional pure diffusion equations having mixed spatial-derivative …