We present a novel multigrid-continuation method for treating parameter-dependent problems. The proposed algorithm which can be flexibly implemented is a generalization of the two-grid discretization schemes [C.-S. Chien, B.-W. Jeng, A two-grid discretization scheme for semilinear elliptic eigenvalue problems, SIAM J. Sci. Comput. 27 (2006) 1287–1304]. That is, approximating points on a solutio...

The eeect of grid adaptation on the numerical solution of model convection-diiusion equations with a conservation form is studied. The grid adaptation technique studied is based on an equi-distribution principle. In particular a parameter dependent monitor function is introduced which incorporates xed meshes, approximate arc-legth equi-distribution and equi-distribution of the absolute value of...

Curvature Scale Space (CSS) representations have been shown to be very useful for recognition of noisy curves of arbitrary shapes at unknown orientations and scales [10,14]. This paper contains a number of important results on the convergence properties of CSS representations and on the evolution and arc length evolution of planar curves [6,12]. The processes which convolve arc length parametri...

In this study, three-dimensional steady-state non-transferred arc plasma torch was investigated by computational fluid dynamics (CFD) method with user defined function (UDF). Two-equation current density profile was developed to simulate the complex plasma flow inside the torch. The effect of asymmetric distribution of current density (ADCD), particularly the deviation distance (distance betwee...

A bstract We study solutions of the Thermodynamic Bethe Ansatz equations for relativistic theories defined by factorizable S -matrix an integrable QFT deformed CDD factors. Such -matrices appear under generalized TTbar deformations special irrelevant operators. The TBA equations, course, determine ground state energy E ( R ) finite-size system, with spatial coordinate compactified on a circle c...

We develop a continuation block successive over-relaxation (BSOR)-Lanczos-Galerkin method for the computation of positive bound states of time-independent, coupled Gross-Pitaevskii equations (CGPEs) which describe a multi-component BoseEinstein condensate (BEC). A discretization of the CGPEs leads to a nonlinear algebraic eigenvalue problem (NAEP). The solution curve with respect to some parame...

Sensing plays a key role in automating and controlling welding processes. Although arc light sensing has advantages over through-the-arc sensing for arc length control and seam tracking, the current technology relies on experimental data and lacks theoretical foundation. To improve measurement accuracy, this work addresses the theoretical foundation for arc light sensing. A theoretical model ha...

In [Z] we defined the notion of an “inference method” which given a finite binary string guesses its continuation. We showed that a special class of these inference methods could be used to construct a very general theory of confirmation. In this paper we investigate the class of strings which are unpredictable with respect to these inference method-that is, infinite strings which are such that...

The main objective of this paper is to develop a theoretically and numerically reliable efficient methodology based on combining finite element method strain gradient shear deformation plate model accounting for the nonlinear free forced vibrations cellular plates having lattice-type metamaterial cores. proposed provides modelling framework computationally more than conventional three-dimension...