Date of Online Publication: 26/08/2006 Keywords: MIRK, Runge Kutta, ODE, Boundary Value Problem, Lobatto Formulae, Obrechkoff Formulae Authors: S. D. Capper, J. R. Cash and D. R. Moore Pages: 13-25 A substantial increase in efficiency may be obtained by numerical integration methods which take advantage of the special second order forms or in systems of […]
Date of Online Publication: 26/08/2006 Keywords: Conservative vector elds, Hamiltonian systems, symplecticity, symmetric methods Authors: Felice Iavernaro and Donato Trigiante Pages: 113-130 The use of symmetric schemes has revealed interesting stability properties for the long time simulation of conservative, and in particular Hamiltonian systems. By using one of the simplest symmetric formulae, namely the trapezoidal
Date of Online Publication: 26/08/2006 Authors: S. D. Capper and D. R. Moore Pages: 27-47 Mono-Implicit Runge-Kutta (MIRK) formulae present an effective means for solving general non-linear two-point boundary value problems. High order finite difference schemes provide significant savings in both computational time and memory when the problem exhibits the required smoothness. In this paper
Date of Online Publication: 22/12/2006 Keywords: Stability, biorthogonal, multiresolution, non separable, video compression, quantization Authors: S. Amat, S. Busquier, J.C.Trillo Pages: 229-239 Multiresolution transforms are powerful tools in video processing applications because of its exibility in representing nonstationary signals. For a proper adaptation to the singularities, it is crucial to develop nonlinear schemes. In these