Search Results - "Pike, Edward Roy"
-
1
On the recovery and resolution of exponential relaxation rates from experimental data: a singular-value analysis of the Laplace transform inversion in the presence of noise
Published in Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences (08-09-1982)“…The problem of numerical inversion of the Laplace transform is considered when the inverse function is of bounded, strictly positive support. The recent…”
Get full text
Journal Article -
2
Light scattering in physics, chemistry and biology - Light scattering in the study of dynamical properties
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences (20-12-1979)“…Motion in many forms may be studied by light scattering. On one extreme this may be the bulk motion of a large target such as a vehicle or a satellite; on the…”
Get full text
Journal Article -
3
Linear regularizing algorithms for positive solutions of linear inverse problems
Published in Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences (09-02-1988)“…Linear-regularization methods provide a simple technique for determining stable approximate solutions of linear ill-posed problems such as Fredholm equations…”
Get full text
Journal Article -
4
Light Scattering in the Study of Dynamical Properties
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical and physical sciences (20-12-1979)“…Motion in many forms may be studied by light scattering. On one extreme this may be the bulk motion of a large target such as a vehicle or a satellite; on the…”
Get full text
Journal Article -
5
On the recovery and resolution of exponential relaxation rates from experimental data. - III. The effect of sampling and truncation of data on the Laplace transform inversion
Published in Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences (08-03-1985)“…The method of singular function expansions, which in previous papers in this series was used for the inversion of the Laplace transform for the cases,…”
Get full text
Journal Article -
6
The W. K. B. approximation for Bloch electrons with an application to interband tunnelling
Published in Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences (21-07-1964)“…The W. K. B. technique for solving the one-dimensional wave equation is extended to the case when the potential field includes a rapidly varying periodic term…”
Get full text
Journal Article -
7
On the recovery and resolution of exponential relaxation rates from experimental data II. The optimum choice of experimental sampling points for Laplace transform inversion
Published in Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences (08-05-1984)“…In a previous paper (Bertero, Boccacci & Pike, Proc. R. Soc. Lond. A 383, 15 (1982)) we investigated the benefits of a priori knowledge of finite support of…”
Get full text
Journal Article -
8
On the solution of the Bénard problem with boundaries of finite conductivity
Published in Proceedings of the Royal Society of London. Series A, Mathematical and physical sciences (14-02-1967)“…The Bénard problem in hydrodynamic stability is formulated under conditions where the media bounding the fluid have finite thermal diffusivity. It is shown…”
Get full text
Journal Article