posted on 2023-06-09, 07:43authored byBertram Duering, James Miles, Christian Hendricks
We present a sparse grid high-order alternating direction implicit (ADI) scheme for option pricing in stochastic volatility models. The scheme is second-order in time and fourth-order in space. Numerical experiments confirm the computational efficiency gains achieved by the sparse grid combination technique.
Funding
Novel discretisations of higher-order nonlinear PDE; G1603; LEVERHULME TRUST; RPG-2015-069
DTA - University of Sussex 2013 (EPSRC); G1142; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/L505109/1