Showing papers in "Journal of Computational and Applied Mathematics in 2010"

TL;DR: This paper reviews the state of the art of a particular, yet powerful, method, i.e. computational homogenization, and discusses the main trends since the early developments up to the ongoing contributions and upcoming challenges in the field.

TL;DR: The validity of the Roy-Maji method is discussed, the weighted fuzzy soft set is introduced and its application to decision making is also investigated.

TL;DR: Finite difference and particle tracking methods for solving the tempered fractional diffusion equation with drift are provided and a new exponential rejection method for simulating tempered Levy stables is presented to facilitate particle tracking codes.

TL;DR: A new approach to slope limiting for discontinuous Galerkin methods on arbitrary meshes is introduced, using a local Taylor basis to express the approximate solution in terms of cell averages and derivatives at cell centroids.

TL;DR: It is proved that soft equality is a congruence relation with respect to some operations and the soft quotient algebra is established.

TL;DR: The Sakurai-Sugiura projection method, which solves generalized eigenvalue problems to find certain eigenvalues in a given domain, was reformulated by using the resolvent theory.

TL;DR: This work proposes and study a posteriori error estimates for convection-diffusion-reaction problems with inhomogeneous and anisotropic diffusion approximated by weighted interior-penalty discontinuous Galerkin methods and analyzes carefully the robustness of the estimates in singularly perturbed regimes due to dominant convection or reaction.

TL;DR: The fractional differential transform method is developed to solve fractional integro-differential equations with non local boundary conditions with nonlocal boundary conditions and the results reveal that the method is accurate and easy to apply.

TL;DR: In this article, a theoretical framework for multivariate subordination of Brownian motions is proposed, with a common and an idiosyncratic component, based on economic intuition and introducing generalizations of some well known multivariate Levy processes for financial applications: the compound Poisson, NIG, Variance Gamma and CGMY.

TL;DR: In this paper, Economic Order Quantity (EOQ) based model for non-instantaneous deteriorating items with permissible delay in payments is proposed, which aids in minimizing the total inventory cost by finding an optimal replenishment policy.

TL;DR: It is proved here that, under similar conditions on the contrast, the natural variational formulation of the problem, although not ''coercive plus compact'', is nonetheless suitable for a finite element discretization.

TL;DR: First order necessary conditions for h"2-optimal model reduction are presented for discrete Multiple-Input-Multiple-Output (MIMO) systems and it is shown that the conditions are equivalent to two known gramian-based first order necessary Conditions.

TL;DR: It is proved this method converges for any irreducible nonnegative tensor and is applied to study the positive definiteness of a multivariate form.

TL;DR: The phenomenon of finite time blow-up in solutions of the homogeneous Dirichlet problem for the parabolic equation u"t=div(a(x,t)|@?u|^p^(^x^)^-^[email protected]?u)+b( x,t)|u|#@s^(x^,^t^)-^2u with variable exponents of nonlinearity p(x),@s(x

TL;DR: A fast and simple tree model to price simple and exotic options in Markov Regime Switching Model (MRSM) with multi-regime by controlling the risk neutral probability measure in different regime states to ensure that the tree model can accommodate the data of all different regimes at the same time preserving its combining tree structure.

TL;DR: A Lyapunov-Krasovskii functional, which takes the range information of the time-varying delay into account, is proposed to analyze the stability and new delay-range-dependent stability criteria are established in terms of linear matrix inequalities (LMIs).

TL;DR: It is proved that these methods have the convergence order eight requiring only four function evaluations per iteration, and supports the Kung-Traub hypothesis on the upper bound 2^n of the order of multipoint methods based on n+1 function evaluations.

TL;DR: Strong convergence theorems are established in a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property.

TL;DR: A 2D finite volume multiblock flow solver, able to deal with natural topography variation, is presented in detail, based on an efficient Flux Vector Splitting method developed by the authors.

TL;DR: A numerical method is developed to solve the nonlinear one-dimensional Klein-Gordon equation by using the cubic B-spline collocation method on the uniform mesh points and the convergence and stability of the method are proved.

TL;DR: The present work is concerned with the coupling of a generalized Newtonian fluid, accounting for the shear-thinning behaviour of blood, with an elastic structure describing the vessel wall, to capture the pulse wave due to the interaction between blood and the vessels wall.

TL;DR: It is established that necessary and sufficient conditions are established for the functions x^@a|@j^(^i+^1^)(x+@b) and x-x respectively to bemonotonic and completely monotonic on (0,~).

TL;DR: Using smaller time steps precisely where smaller elements in the mesh are located, these methods overcome the bottleneck caused by local mesh refinement in explicit time integrators and resulting discrete time-marching schemes are fully explicit and thus inherently parallel.

TL;DR: The MLPG method for numerically solving the non-linear two-dimensional sine-Gordon (SG) equation is developed and the ability of proposed method to deal with the unsteady non- linear problems in large domains is confirmed.

TL;DR: A new definition by means of a determinantal form for Appell (1880) polynomials is given and general properties, some of them new, are proved by using elementary linear algebra tools.

TL;DR: It is shown that the Cauchy problem of TFADE is severely ill-posed and a spectral regularization method is applied to solve it based on the solution given by the Fourier method, obtained under a priori bound assumptions for the exact solution.

TL;DR: A numerical technique is presented for the solution of a parabolic partial differential equation with a time-dependent coefficient subject to an extra measurement using the elements of Chebyshev cardinal functions.

TL;DR: Two nonlinear conjugate gradient methods for unconstrained optimization problems are introduced based on a modified version of the secant equation proposed by Zhang, Deng and Chen, and Zhang and Xu and the modified BFGS update proposed by Yuan.

TL;DR: The method of a supplementary variable and the matrix-analytic method is used to obtain the queue length distribution and service status at an arbitrary epoch under steady state conditions and the Laplace-Stieltjes transform (LST) of the stationary waiting time is provided.

TL;DR: New numerical methods for linear Fredholm integral equations of the second kind with weakly singular kernels are proposed by means of the Sinc approximation with smoothing transformations, which is an effective technique against the singularities of the equations.