SIAM Journal on Numerical Analysis, Vol. 55, No. 3 (2017), pp. 1243-1263 (21 pages) The Heston stochastic volatility model is one of the most fundamental models in mathematical finance. In the ...

Numerical Solution of Systems of Linear Equations, Iterative Methods Formulation and analysis of basic stationary methods e.g. Gauss-Jacobi, Gauss-Seidel. The numerical solution of Poisson's equation.

A numerical method is described and analyzed for the solution of the exterior Dirichlet problem for the Helmholtz equation in three dimensions. The problem is first reformulated as a Fredholm integral ...