Finite difference schemes for computing blow-up solutions of one dimensional nonlinear Schrodinger equations are presented.By applying time increments control technique,we can introduce a numerical bl
We present an approach(based on Bayes formula and ratio estimates)to apply QMC and multilevel MC methods for the computation of posterior expectations of functionals of the solution of an elliptic PDE
This work deals with the mathematical modelling and control of the processes related to the sedimentation of suspended particles in large streams.To analyze this environmental problem,we propose a mat
Octree-based methods bring the advantage of using fast cartesian grid discretizations,such as finite differences,and the flexibility and accuracy of local mesh refinement.
In this study,we present a stochastic dimension reduction method for solving unconfined flow problems in randomly porous media.A high-dimensional model representation technique is applied to decompose
In this talk,a differential game model of transboundary pollution with emission permits trading is presented.We make use of stochastic optimal control theory to derive the value function for the nonco
Convergent adaptive finite element method is proposed to solve distributed optimal control problems governed by elliptic partial differential equations.
A novel,inverse scattering-type,technique for solving Cauchy problems for integrable cellular automata will be presented for the case of the ultradiscrete KdV equation,defined over the real numbers.Th