A posteriori estimates of inverse operators for boundary value problems in linear elliptic partial differential equations Abstract This paper presents constructive a posteriori estimates of inverse… (More)

R.B. Kearfott Mathematics Department, University of Louisiana at Lafayette, USA e-mail: rbk@louisiana.edu M.T. Nakao Graduate School of Mathematics, Kyushu University, Japan A. Neumaier Fakult at f… (More)

We describe a numerical method with guaranteed accuracy to enclose a periodic solution for a system of delay differential equations. Using a certain system of equations corresponding to the original… (More)

Measurement-integrated simulation (MI-simulation) is a numerical simulation in which experimental results are fed back to the simulation. The calculation becomes closer to those of the experiments.… (More)

This paper is the three dimensional extension of the two dimensional work in Nakao et al. (Reliable Comput 9(5):359–372, 2003) and Watanabe et al. (J Math Fluid Mech 6:1–20, 2004) on a computer… (More)

In this paper, we consider the constructive a priori error estimates for a full discrete numerical solution of the heat equation. Our method is based on the finite element Galerkin method with an… (More)

We present constructive a priori error estimates for H 0 -projection into a space of polynomials on a one-dimensional interval. Here, “constructive” indicates that we can obtain the error bounds in… (More)