Showing papers in "Journal of Computational and Applied Mathematics in 2013"

TL;DR: A finite element method by using a weakly defined gradient operator over generalized functions and an optimal order error estimate in both a discrete H^1 and L^2 norms are established for the corresponding weak Galerkin finite element solutions.

TL;DR: By employing the fixed point theory and the monotone iterative technique, the existence of a unique solution for a class of nonlinear fractional integro-differential equations on semi-infinite domains in a Banach space is investigated.

TL;DR: A stochastic counterpart of the discrete LaSalle principle is presented from which the globally almost surely asymptotic stability in this non-linear setting for EM type schemes is examined.

TL;DR: It is shown that SBP weight matrices are related to trapezoid rules with end corrections whose accuracy matches the corresponding difference operator at internal nodes, and the accuracy of SBP quadratures extends to curvilinear domains provided the Jacobian is approximated with the same SBP operator used for the quadrature.

TL;DR: This paper summarises existence and uniqueness theory based on the method of steps and a theorem on the propagation of derivative discontinuities and discusses the dependence of the solution on the parameters of the equation.

TL;DR: The advantage of the proposed new algorithms based on Haar wavelets is that it does not involve any intermediate numerical technique for evaluation of the integral present in integral equations.

TL;DR: The proposed backward displacement method is able to solve the inverse problem iteratively using fixed point iterations and allows for a straightforward implementation in combination with existing structural solvers, even if the structural solver is a black box.

TL;DR: The operational matrices of integration and product together with the collocation points are utilized to reduce the solution of the integral equation to the Solution of a system of nonlinear algebraic equations.

TL;DR: This paper investigates the first passage times to flat boundaries for hyper-exponential jump (diffusion) processes and presents explicit expressions of the dividend formulae for barrier strategy and threshold strategy.

TL;DR: It is shown that under appropriate assumptions the open-loop bilinear control function is unique and the resulting optimality system is discretized by the Chang-Cooper scheme that guarantees positivity of the forward solution.

TL;DR: A numerical direct method for solving a general class of fractional optimal control problems (FOCPs) is presented and approximations achieved satisfy all the initial conditions of the problem which is an important property.

TL;DR: A production-inventory model for deteriorating items with time-varying demand and finite replenishment rate is formulated by allowing preservation technology cost as a decision variable in conjunction with production policy to find the optimal production and preservation technology investment strategies while minimizing the total cost over the planning horizon.

TL;DR: This paper presents a new hybrid natural algorithm based on Harmony Search Algorithm (HSA) and Quantum Computing (QC) which achieves better balance between the exploration of HS algorithm and the exploitation capabilities of the quantum inspired computing.

TL;DR: It is argued that the faster convergence of the Krylov iteration within exponential integrators accounts for the main proportion of the computational savings that they provide and illustrate how the structure of these methods ensures such efficiency.

TL;DR: A numerical method for solving two-dimensional nonlinear Fredholm integral equations of the second kind on a non-rectangular domain using radial basis functions constructed on scattered points as a basis in the discrete collocation method.

TL;DR: The error estimation for the reproducing kernel method to solve linear boundary value problems and it is given that this method has not yet been discussed.

TL;DR: A rigorous study to know a priori if the new method will preserve the order of the original modified method is presented and it is concluded that this fact does not depend on the method but on the systems of equations and if the associated divided difference verifies a particular condition.

TL;DR: This paper proposes a data-adapted iterative method which minimizes in each iteration step a smoothness functional subject to inequality constraints involving the extrema and presents an optimization based normalization to extract instantaneous frequencies from the analytic function approach.

TL;DR: This article studied the convergence of an iterative three-stage algorithm (MLE-3D), determined the minimum sample size required for matrix estimates to exist, and computed by simulation the empirical bias and dispersion of the Kronecker product of the three variance-covariance matrix estimators in eight scenarios.

TL;DR: This paper presents a numerical method for solving a class of fractional variational problems (FVPs) with multiple dependent variables, multi order fractional derivatives and a group of boundary conditions using polynomial basis functions.

TL;DR: The proposed three-term conjugate gradient algorithm substantially outperforms the well-known Hestenes and Stiefel conjugates gradient algorithm, as well as the more elaborate CG_DESCENT algorithm.

TL;DR: This work describes a particular basis which turns out to be orthonormal in N"@F(@W) and in @?"2","w(X), where X is a set of data sites of the domain @W.

TL;DR: The algorithm is based on the structure-preserving tridiagonalization of the real counterpart for quaternion Hermitian matrices by applying orthogonal JRS-symplectic matrices and is very efficient, it costs about a quarter arithmetical operations, and a quarter to one-eighth CPU times, comparing with standard general-purpose algorithms.

TL;DR: A generalization of moving least square reproducing kernel method is presented which employs the generalized version ofMoving least square method and approximates a test functional, based on the values of nodes, which is simpler and faster to implement than the classical ones.

TL;DR: A new polar coordinate-based method is proposed for the numerical evaluation of both nearly weakly and nearly strongly singular integrals on triangular boundary elements, which uses approximately twice as many quadrature points in the angular direction as in the radial direction in response to a finding that the evaluation of these types of integrals is particularly sensitive to the placement of the quadratures points inThe angular direction.

TL;DR: An implicit finite element method for a class of chemotaxis models in three spatial dimensions designed to maintain mass conservation and to guarantee positivity of the cell density is presented.

TL;DR: It is shown that the eigenvalue bounds for the nonsingular saddle point matrices of Hermitian and indefinite (1,1) and (2,2) blocks are positive definite on the kernels of the (2-1) blocks.

TL;DR: A new framework for two-fluid flows using a finite element/level set method is presented and verified through the simulation of the rising of a bubble in a viscous fluid, enriched to deal with vesicles by introducing a Lagrange multiplier to constrain the inextensibility of the membrane.

TL;DR: The spectral collocation method is proposed to solve the equations after the results on existence, uniqueness and regularity of the solutions are established and the convergence rates are proven.

TL;DR: A Morley finite element method for the displacement obstacle problem of clamped Kirchhoff plates on polygonal domains and error estimates are derived in the energy norm and the L ∞ norm are studied.