Operator splitting methods for American option pricing

Applied Mathematics Letters - Tập 17 - Trang 809-814 - 2004
S. Ikonen1, J. Toivanen1
1Department of Mathematical Information Technology, Agora FIN-40014 University of Jyväskylä, Finland

Tài liệu tham khảo

Black, 1973, The pricing of options and corporate liabilities, J. Political Economy, 81, 637, 10.1086/260062 Brennan, 1977, The valuation of American put options, J. France, 32, 449 Wilmott, 1993 Hairer, 1996, Solving Ordinary Differential Equations. II: Stiff and Differential-Algebraic Problems, Volume 14 Cryer, 1971, The solution of a quadratic programming problem using systematic overrelaxation, SIAM J. Control, 9, 385, 10.1137/0309028 Glowinski, 1984, Numerical Methods for Nonlinear Variational Problems, 10.1007/978-3-662-12613-4 Achdou, 2000, Convergence analysis of a finite element projection/Lagrange-Galerkin method for the incompressible Navier-Stokes equations, SIAM J. Numer. Anal., 37, 799, 10.1137/S0036142996313580 Glowinski, 2003, Finite element methods for incompressible viscous flow, Volume IX Kangro, 2000, Far field boundary conditions for Black-Scholes equations, SIAM J. Numer. Anal., 38, 1357, 10.1137/S0036142999355921 Ikonen, 2003, Efficient numerical solution of the Black-Scholes equation by finite difference method Oosterlee, 2003, On multigrid for linear complementarity problems with application to American-style options, Electron. Trans. Numer. Anal., 15, 165