J. Kralik and J. Kralik, jr. Department of Structural Mechanics, Faculty of Civil Engineering, Slovak University of Technology in Bratislava, 810 05 Bratislava, Slovakia Received 28/02/2020, Revised 21/07/2020, Accepted 28/10/2020 Abstract: Engineering structures are designed to resist all expected loadings without failure. However, structural failures do happen occasionally, mainly due to inadequate design and construction, […]

Keywords: fundamental solution method, periodic plane elasticity Abstract: We present a fundamental solution method for elasticity problems of planes with one-dimensional periodic structure, to which it is difficult to apply the conventional fundamental solution method. We propose an approximate solution of the fundamental solution method which is modi ed so that it is suitable to

J. C. Butcher2 Department of Mathematics, University of Auckland, Auckland, New Zealand Received February 8, 2010; accepted in revised form February 22, 2010. Abstract: B-series, together with the algebraic system which underpins them, are essential tools in the study of properties of numerical methods for evolutionary problems. This paper surveys the properties of these constructs

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: 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