Showing papers in "Journal of Computational and Applied Mathematics in 2007"

TL;DR: The main concepts in variational iteration method, such as general Lagrange multiplier, restricted variation, correction functional, are explained heuristically and the solution procedure is systematically addressed, in particular, for nonlinear oscillators.

TL;DR: A novel method of object recognition from an imprecise multiobserver data has been presented here and involves construction of a Comparison Table from a fuzzy soft set in a parametric sense for decision making.

TL;DR: In this paper, the discretization of linear inverse problems is discussed, and the Bayesian paradigm is used to estimate the statistics of the Discretization error that is made part of the measurement and modelling errors of the estimation problem.

TL;DR: In this paper, He's variational iteration method is used for solving second-order initial value problems. This method is based on the use of Lagrange multipliers for identification of optimal value of a parameter in a functional.

TL;DR: In this article, He's variational iteration method (VIM) and homotopy-perturbation method (HPM) are used to solve nonlinear heat transfer problems.

TL;DR: In this paper, the quadratic Riccati differential equation is solved by He's variational iteration method with considering Adomian's polynomials, and the results reveal that the proposed method is very effective and simple.

TL;DR: In this article, the variational iteration method and the Adomian decomposition method are implemented to give approximate solutions for linear and nonlinear systems of differential equations of fractional order.

TL;DR: A first comprehensive description of ARC (Advanced Resource Connector) Grid middleware, where these issues have been given special consideration and architectural and technical choices have been made to ensure scalability, stability and high performance.

TL;DR: In this article, an algorithm for approximating solutions to differential equations in a modified new Bernstein polynomial basis is introduced, which expands the desired solution in terms of a set of continuous polynomials over a closed interval and then makes use of the Galerkin method to determine the expansion coefficients to construct a solution.

TL;DR: In this paper, a comparative study between the variational iteration method and Adomian decomposition method is presented, which outlines the significant features of the two methods and investigates the homogeneous and nonhomogeneous advection problems.

TL;DR: This work uses the lowest possible approximation order, piecewise linear, continuous velocities and piecewise constant pressures to compute solutions to Stokes equation and Darcy's equation, applying an edge stabilization term to avoid locking.

TL;DR: Computable lower bounds of the penalty parameters for stable and convergent symmetric interior penalty Galerkin methods are presented and the explicit dependence of the coercivity constants with respect to the polynomial degree and the angles of the mesh elements is derived.

TL;DR: The algorithm locates the corner of a discrete L-curve which is a log-log plot of corresponding residual norms and solution norms of regularized solutions from a method with a discrete regularization parameter.

TL;DR: In this article, the reliable variational iteration method is used to determine rational solutions for the KdV, the K(2,2), the Burgers, and the cubic Boussinesq equations.

TL;DR: A general mathematical formalism via stochastic delay differential equations for describing time delays in genetic regulatory networks derived from the Langevin approach is introduced.

TL;DR: In this article, the authors investigated the inverse problem of determining a spacewise dependent heat source in the parabolic heat equation using the usual conditions of the direct problem and information from a supplementary temperature measurement at a given single instant of time.

TL;DR: In this article, a free vibration analysis for laminated conical and cylindrical shells was carried out using Love's first approximation thin shell theory and solved using discrete singular convolution (DSC) method.

TL;DR: A discrete optimization problem is formulated that leads to a simple and informative derivation of a widely used class of spectral clustering algorithms, indicating that they are inherently tuned to tolerate all partitions into two non-empty sets, independently of the cardinality of the two sets.

TL;DR: In this article, the generalized finite difference (GFD) method is applied to irregular grids of points and the convergence of the method has been studied and the truncation errors over irregular grids are given.

TL;DR: In this article, the authors used the method of lines to transform the initial/boundary value problem associated with the sine-Gordon equation in two space variables into a second-order initial value problem.

TL;DR: In this paper, the dynamics of a predator-prey model with impulsive state feedback control, which is described by an autonomous system with impulses, was studied, and the sufficient conditions of existence and stability of semi-trivial solution and positive period-1 solution were obtained by using the Poincare map and analogue of the poincare criterion.

TL;DR: The sparse grid methodology is applied and the application demonstrated to work efficiently for up to 10 proteins, and error bounds are provided which confirm the effectiveness of sparse grid approximations for smooth high-dimensional probability distributions.

TL;DR: In this article, the authors review the general theory of CMV matrices and show that they are the unitary analog of Jacobi matrices, and that their general theory is complete.

TL;DR: A new conjugacy condition is established for CG methods and several new CG methods are proposed that take both the gradient and function value information and under some suitable conditions, the global convergence is achieved for these methods.

TL;DR: In this article, a theoretical framework for phase-fitted and amplification-fitted two-step hybrid (FTSH) methods for second-order periodic initial value problems is provided.

TL;DR: In this paper, the authors established new delay integral inequalities, which generalize some results of Li et al. and can be used to investigate the qualitative properties of delay differential equations and delay integral equations.

TL;DR: In this article, the fundamental solution of the fractional diffusion equation of distributed order in time is obtained based on its Mellin-Barnes integral representation, which is proved to be related via a Laplace-type integral to the Fox-Wright functions.

TL;DR: In this paper, a new method for solving singular two-point boundary value problem for certain ordinary differential equation having singular coefficients is presented, where the exact solution is represented in the form of series in reproducing kernel space.

TL;DR: The symmetric interior penalty discontinuous Galerkin (DG) method for the time-dependent Maxwell equations in second-order form is developed and optimal a priori error estimates in the energy norm for smooth solutions are derived.