Date of Online Publication: 31/03/2008 Keywords: Delay differential equations (DDEs); Event location; Ordinary differential, equations (ODEs); Problem solving environment (PSE); State-dependent impulses; Timedependent impulses Authors: S.P. Corwin, S. Thompson, S.M. White Pages: 139-149 This paper deals with the solution of systems of ordinary differential equations (ODEs) and systems of delay differential equations (DDEs) in which […]
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: 27/10/2007 Keywords: Second-order Numerical Scheme for Singularly Perturbed, Singular perturbation problems, Robin boundary conditions, cubic spline, piecewise-uniform Shishkin mesh, error analysis. Authors: Srinivasan Natesan and Rajesh K. Bawa Pages: 177-192 In this article, we consider singularly perturbed reaction-diffusion Robin boundary-value problems. To solve these problems we construct a numerical method which
Date of Online Publication: 31/03/2008 Keywords: Software, ODE solvers, code generation, bifurcation, continuation, delay – differential equation Authors: Warren Weckesser Pages: 151-165 Download PDF
Keywords: seismic tomography, spectral-element method, adjoint-method, Australia Abstract: We propose a novel technique for seismic waveform tomography on continental scales. This is based on the fully numerical simulation of wave propagation in complex Earth models, the inversion of complete waveforms and the quantification of the waveform discrepancies through a specially designed phase misfit. The numerical
Carlos A. Vega1 Departmento de Matem�aticas y Estad?stica, Universidad del Norte, Km 5 Via Puerto Colombia Barranquilla, Colombia. Sonia Valbuena Grupo GIHEM, Universidad del Atl�antico, Km 7 Via Puerto Colombia Barranquilla, Colombia. Abstract: Numerical simulations for the Keyfitz-Kranzer system of equations are developed by using high-order entropy stable schemes proposed by Fjordholm et. al. [Arbitrary
S. Harabinova, E. Panulinova, E. Kormanikova Institute of Structural Engineering, Faculty of Civil Engineering, Technical University of Kosice, 042 00 Kosice, Slovakia Received 31 January, 2018; accepted in revised form 23 July, 2019 Abstract: The strength of soil and the bearing capacity are a keys design parameters in designing foundations and other earth structures. Proper
R.V. Fedorov, A.V. Chukalin, V.N. Kovalnogov, U.J. Mizher, M.M. Zamaleev Department of Heat and Power Engineering, Ulyanovsk State Technical University, Severny Venets str. 32, Ulyanovsk, 432027, Russia Received: 01/09/2020, Revised: 15/10/2020, Accepted: 07/12/2020 Abstract: The search for new solutions in the field of energy, preventing negative impact on the environment, is one of the priority
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
Keywords: Two-point Boundary Value Problems, singular perturbation problems, finite difference schemes, upwind method, mesh variation. Abstract: We propose a simple and quite efficient code to solve singular perturbation problems when the perturbation parameter ? is very small. The code is based on generalized upwind methods of order ranging from 4 to 10 and uses highly