Displaying 1 - 20 of 24 publications.
- Discontinuous Galerkin approximations for Volterra integral equations of the first kind
- Brunner H, Davies PJ and Duncan DB
IMA Journal of Numerical Analysis, 2008, 29, 856-881 - The stability of numerical approximations of the time domain current induced on thin wire and strip antennas
- Davies PJ, Duncan DB and Zubik-Kowal B
Appl. Numer. Math., 2005, 55, 48-68 - Convergence of collocation methods for time domain boundary integral equations
- Davies PJ
Oberwolfach Reports, 2004, 1, 579-581 - Convergence of collocation methods for time domain boundary integral equations; in Computational Electromagnetism; eds. R Hiptmair; R H W Hoppe and U Langer
- Davies PJ and Duncan DB
Oberwolfach Reports, 2004, V1, 579-581 - Fourier stability analysis of a numerical method for time domain electromagnetic scattering from a thin wire
- Zubik-Kowal B and Davies PJ
Numer. Algorithms, 2004, 35(1), 121-130 - Stability and convergence of collocation schemes for retarded potential integral equations
- Davies PJ and Duncan DB
SIAM J. Numer. Anal., 2004, 42, 1167-1188 - On the numerical stability of schemes for time domain scattering from a thin strip
- Davies PJ
2003, 776-801 - Numerical stability of collocation schemes for time domain boundary integral equations
- Davies PJ and Duncan DB
2003, 51-66 - On the numerical stability of schemes for time domain scattering from a thin strip
- Davies PJ
Mathematical and Numerical Aspects of Wave Propagation, Waves 2003, 2003, 776-781 - The Time domain integral equation for a straight wire antenna with the reduced kernel is not well-posed
- Davies PJ, Zubik-Kowal B and Rynne BP
IEEE Transactions on Antennas and Propagation, 2002, 50, 1165-1166 - The time domain integral equation for a straight thin-wire antenna with the reduced kernel is not well-posed
- Davies PJ, Rynne BP and Zubik-Kowal B
IEEE Trans. Antennas Propagation, 2002, 50, 1165-1166 - Numerical approximation of time domain electromagnetic scattering from a thin wire
- Zubik-Kowal B and Davies PJ
Numer. Algorithms, 2002, 30, 25-36 - Mathematical modelling for keyhole surgery simulations: a biomechanical model for spleen tissue
- Davies PJ, Carter FJ and Cuschieri A
IMA J. Appl. Math., 2002, 67, 41-67 - Mathematical modeling and numerics for keyhole surgery simulations
- Davies PJ
Mathematics Today, 2001, 37, 110-112 - Mathematical modelling and numerics for keyhole surgery simulations [invited review article]
- Davies PJ
Math. Today, 2001, 37(4), 110-112 - Accurate and efficient algorithms for frequency domain scattering from a thin wire
- Davies PJ, Duncan DB and Funken SA
J. Comput. Phys., 2001, 168, 155-183 - Measurements and modelling of the compliance of human and porcine organs
- Carter FJ, Frank TG, Davies PJ, McLean D and Cuschieri A
Med. Image Anal., 2001, 5(4), 231-236 - The effect of quadrature on the dynamics of a discretised nonlinear integro-differential equation
- Aves MA, Davies PJ and Higham DJ
Applied Numerical Mathematics, 2000, 32, 1-20 - The effect of quadrature on the dynamics of a discretized nonlinear integro-differential equation
- Aves MA, Davies PJ and Higham DJ
Appl. Numer. Math., 2000, 32, 1-20 - On the behaviour of time discretisations of the electric field integral equation
- Davies PJ and Duncan DB
Appl. Math. Comput., 2000, 107, 1-26