A numerical method based on an integro-differential formulation and approximation by local interpolating functions is proposed for solving a one-dimensional parabolic partial diff...
Abstract. Two explicit error representation formulas are derived for degenerate parabolic PDEs, which are based on evaluating a parabolic residual in negative norms. The resulting ...
Abstract. We present a multigrid algorithm for the solution of distributed parameter inverse problems constrained by variable-coefficient linear parabolic partial differential equa...