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Items for "interpolation"

Error estimates for the convergence of a finite volume discretization of convection–diffusion equations

We study error estimates for a finite volume discretization of an elliptic equation. We prove that, for s ∈ [0, 1], if the exact solution belongs to H 1+s and the right-hand side is ƒ +div(G) with ƒ ∈ L 2 and G ∈ (H s ) N , then the solution of the finite volume scheme converges in discrete H 1- norm to the exact solution, with a rate of convergence of order h s (where h is the size of the mesh).

Keywords: convection?diffusion equations, finite volume, convergence rate, interpolation

03/2003 | Journal of Numerical Mathematics, Walter de Gruyter
MacLane functions with prescribed zeros and interpolation properties

An entire function φ is called universal in the sense of MacLane (for short MacLane function) if for any preassigned entire function f a suitable sequence φ(nk) of derivatives of φ converges to f locally uniformly in the whole plane...

Keywords: spaces of entire functions, universality, approximation by derivatives, zeros, interpolation

02/2007 | Analysis, Oldenbourg Wissenschaftsverlag