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Publications Influence

A three-point formula for numerical quadrature of oscillatory integrals with variable frequency

- U. Ehrenmark
- Mathematics
- 1988

Abstract A simple three-point formula is constructed for the evaluation of general oscillatory integrals. A rigorous derivation of the local error term is presented, and the implications to high… Expand

32 1

The Initial‐Value Problem on a Plane Beach

- U. Ehrenmark, G. Body
- Mathematics
- 1 September 2001

The two-dimensional initial-value problem is examined for an inviscid incompressible fluid on a plane beach within the framework of a linearized but non-hydrostatic theory. Solutions generated by… Expand

3 1

An alternative dispersion equation for water waves over an inclined bed

- U. Ehrenmark
- Mathematics
- 7 November 2005

A classical approach to extending the validity of Airy's dispersion relation for surface gravity waves by Friedrichs (1948) to gentle slopes (of special inclinations) is here re-examined with… Expand

13 1

Oblique wave incidence on a plane beach: the classical problem revisited

- U. Ehrenmark
- Physics
- 10 August 1998

The non-hydrostatic description of three-dimensional waves incident over a plane beach at a long straight coastline is considered in terms of the inverse Kontorovich-Lebedev integral transform. This… Expand

30 1

Water wave scattering by a floating elastic plate over a plane incline

- U. Ehrenmark, D. Porter
- Materials Science
- 1 August 2012

5 1

Far field asymptotic of the two-dimensional linearised sloping beach problem

- U. Ehrenmark
- Geology
- 1 October 1987

The inverse Mellin transform solution for the two-dimensional linearised inviscid beach problem is used to derive far field asymptotic expansions. It is shown that a Poincare expansion exists which… Expand

24

The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature

- U. Ehrenmark
- Mathematics
- 20 July 1995

Abstract The inversion of the conventional Kontorovich-Lebedev transform with the Macdonald function as kernel and also with a Kelvin function as kernel is considered. Strategies are presented first… Expand

13

On the error and its control in a two-parameter generalised Newton-Cotes rule

- U. Ehrenmark
- Mathematics
- 1 November 1996

A quadrature formula containing two free (phase) parameters k, k', and recently written by Van Daele et al. [13], is rederived using an extension of Lagrange's identity. By using this method, a… Expand

5

A note on a recent study of oscillatory integration rules

- U. Ehrenmark
- Mathematics
- 22 June 2001

Abstract In a recent comparison of methods of highly oscillatory numerical integration the authors appear to have overlooked some works which seem to compete effectively with several of those… Expand

6

On the normal incidence of linear waves over a plane incline partially covered by a rigid lid

- U. Ehrenmark
- Physics
- 1 March 2009

The effect is examined on infinitesimal standing waves over a plane beach when restricted by the arbitrary placing of a finite rigid (or permeable) lid of length l on the undisturbed surface. A… Expand

4