Many important physical applications are governed by the wave equation. The formulation as time domain boundary integral equations involves retarded potentials. For the numerical solution of thisâ€¦ (More)

In this paper, we consider the deferred correction principle for high order accurate time discretization of partial differential equations (PDEs) and ordinary differential equations (ODEs). Deferredâ€¦ (More)

In this paper we consider the linearized Navier-Stokes equations in two dimensions under specified boundary conditions. We study both the continuous case and a discretization using a second orderâ€¦ (More)

The incompressible Navier-Stokes equations are discretized in space and integrated in time by the method of lines and a semi-implicit method. In each time step a set of systems of linear equationsâ€¦ (More)

We consider the wave equation in a boundary integral formulation. The discretization in time is done by using convolution quadrature techniques and a Galerkin boundary element method for the spatialâ€¦ (More)

Kress, W. 2003. High Order Finite Difference Methods in Space and Time. Acta Universitatis Upsaliensis. Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technologyâ€¦ (More)

A fourth order accurate discretization in time and space for the wave equation in first order system formulation is investigated. The unconditional stability of the scheme is established and theâ€¦ (More)

Many important physical applications are governed by the wave equation. The formulation as time domain boundary integral equations involves retarded potentials. For the numerical solution of thisâ€¦ (More)

In this paper, we consider the deferred correction principle for initial boundary value problems. The method will here be applied to the discretization in time. We obtain a method of even order p byâ€¦ (More)