论文信息 - Penalization schemes for reflecting stochastic differential equations

Penalization schemes for reflecting stochastic differential equations

We consider discrete penalization schemes for reflecting stochastic differential equations. The convergence results obtained by Liu are generalized and refined. We also compare the penalization schemes with a more well-known recursive projection scheme.

Roger Pettersson | R. Pettersson

[1] Leszek Słomiński. On approximation of solutions of multidimensional SDE's with reflecting boundary conditions , 1994 .

[2] Larry A Shepp,et al. A New Look at Pricing of the ”Russian Option“ , 1995 .

[3] Hiroshi Tanaka. Stochastic differential equations with reflecting boundary condition in convex regions , 1979 .

[4] Søren Asmussen,et al. Queueing Simulation in Heavy Traffic , 1992, Math. Oper. Res..

[5] P. Lions,et al. Stochastic differential equations with reflecting boundary conditions , 1984 .

[6] J. L. Menaldi,et al. Stochastic variational inequality for reflected diffusion , 1983 .

[7] Christian Soize,et al. Mathematics of random phenomena , 1986 .

[8] Yingjie Liu. Numerical approaches to stochastic differential equations with boundary conditions , 1993 .

[9] Andrew Storm. Stochastic differential equations with a convex constraint , 1995 .