On the splitting method for some complex-valued quasilinear equations

@inproceedings{Brzezniak2011OnTS,
  title={On the splitting method for some complex-valued quasilinear equations},
  author={Z. Brzezniak and A. Millet},
  year={2011}
}
Abstract. Using the approach of the splitting method developed by I. Gyöngy and N. Krylov for parabolic quasi linear equations, we study the speed of convergence for general complex-valued stochastic evolution equations. The approximation is given in general Sobolev spaces and the model considered here contains both the parabolic quasi-linear equations under some (non strict) stochastic parabolicity condition as well as linear Schrödinger equations 

References

SHOWING 1-10 OF 21 REFERENCES
On the discretization in time of parabolic stochastic partial differential equations
  • J. Printems
  • Mathematics, Computer Science
  • Monte Carlo Methods Appl.
  • 2001
Approximation for Semilinear Stochastic Evolution Equations
A semi-discrete scheme for the stochastic nonlinear Schrödinger equation
On Discretization Schemes for Stochastic Evolution Equations
Stochastic evolution equations
...
1
2
3
...