Boundary-domain integral equations (BDIEs) have emerged as a robust framework for the reformulation and solution of boundary value problems (BVPs) in complex settings. By incorporating integrals over ...

The Annals of Applied Probability, Vol. 28, No. 3 (June 2018), pp. 1943-1976 (34 pages) The initial-boundary value problem for the heat equation is solved by using an algorithm based on a random walk ...

Drichlet conditions specify the values of the dependent variables of the boundary points. Neumann conditions specify the values of the normal gradients of the boundary. Robin conditions defines a ...

Investigation is made into the sensitivity of solutions of linear boundary value problems to perturbations of the boundary condition. We derive a useful quantity to decide for well or ill conditioning ...