Showing papers in "Journal of Computational and Applied Mathematics in 2014"

TL;DR: A new definition of fractional derivative and fractional integral is given and it is shown that it is the most natural definition, and the most fruitful one.

TL;DR: An extension of Darbo's fixed point theorem associated with measures of noncompactness is given, and some results on the existence of coupled fixed points for a class of condensing operators in Banach spaces are presented.

TL;DR: A finite volume method is derived that utilises fractionally-shifted Grunwald formulae for the discretisation of the fractional derivative, to numerically solve the equation on a finite domain with homogeneous Dirichlet boundary conditions and proves that the method is stable and convergent when coupled with an implicit timestepping strategy.

TL;DR: A shift-splitting preconditioner for saddle point problems is presented, based on a shift- Splitting of the saddle point matrix, resulting in an unconditional convergent fixed-point iteration.

TL;DR: Using the collocation method, the nonlinear fractional integro-differential equations (NFIDE) of the form f(t,y(t),"a^CD"t^@a^"^0y(T),...,"a^ CD"t#@a#"^ry(t") are solved.

TL;DR: The results of numerical examples show that the present method for solving singularly perturbed turning point problems exhibiting an interior layer can provide very accurate approximate solutions.

TL;DR: The concept and the properties of root-neighborhoods from polynomials to secular functions, provide perturbation results of the roots, obtain an effective stop condition for the EA iteration and guaranteed a posteriori error bounds are extended.

TL;DR: An iterative algorithm for identifying the positive definiteness of an even-order real supersymmetric tensor is obtained and examples are given to verify the corresponding results.

TL;DR: Numerical experiments show that the new strategy for obtaining the optimal parameter by solving a cubic polynomial equation is very effective for approximating the optimal parameters in the HSS iteration methods as it leads to fast convergence of the method.

TL;DR: A new approach to approximating the scale function and the associated fluctuation identities for a general spectrally negative Levy process is proposed, motivated by the fact that the class of phase-type distributions is dense in theclass of all positive-valued distributions.

TL;DR: A novel DEM based particle simulation code (BLAZE-DEM) that is capable of simulating millions of particles on a desktop computer utilizing a NVIDIA Kepler Graphical Processor Unit (GPU) via the CUDA programming model is introduced.

TL;DR: A new numerical method based on Haar wavelet for two-dimensional nonlinear Fredholm, Volterra and VolterRA-Fredholm integral equations of first and second kind which does not involve numerical integration which results in an improved accuracy of the method.

TL;DR: The attainable order of convergence of proposed algorithms is studied and a (global) superconvergence effect for a special choice of collocation points is established.

TL;DR: It is shown that provided that the time step size τ is sufficiently small, the proposed MLPG scheme yields an error of O ( ρ 2 ( m + 1 ) + τ 2 ) in the L 2 norm for the square of error, which is acceptable for the time-dependent Maxwell equations.

TL;DR: A theoretical guarantee for the Schatten p -norm minimization if a certain restricted isometry property holds for the linear affine transform is presented and the results improve on the previous works where recovery is used for nuclear norm minimization.

TL;DR: This paper proposes a modified Polak-Ribiere-Polyak (PRP) CG algorithm for solving a nonsmooth unconstrained convex minimization problem and shows that the algorithm converges globally to an optimal solution.

TL;DR: The approximate controllability of fractional evolution equations involving Caputo fractional derivative under the assumption that the corresponding linear system is approximately controllable is discussed.

TL;DR: The present approach is an improved form of the Haar wavelet methods, and is easily extendable to higher order IDEs of higher orders with initial- and boundary-conditions.

TL;DR: A genetic algorithm (GA) to solve the integrated scheduling of quay cranes, automated guided vehicles and handling platforms in SP-AS/RS more accurately and precisely is presented.

TL;DR: The semi-convergence result under restrictions is proved by verifying two necessary and sufficient conditions, that is, all elementary divisors associated with the eigenvalue 1 of its iterative matrix are linear, and the pseudo-spectral radius of the Iterative matrix is less than 1.

TL;DR: A software package is presented that computes locally optimal solutions to low-rank approximation problems with the following features:osaic Hankel structure constraint on the approximating matrix, weighted 2-norm approximation criterion, and linear constraints on an approximation matrix's left kernel basis.

TL;DR: Well-conditioned, stable and infinitely smooth interpolation in arbitrary nodes in linear barycentric rational interpolation as well as some of its applications are reviewed.

TL;DR: A novel approach is made use to derive the stiff order conditions for high-order exponential methods and construct a fifth-order method with 8 stages and prove its convergence for semilinear parabolic problems.

TL;DR: Eight identities are established which reveal that the functions 1(1-e-e+/-^t)^k and the derivatives (1e^+/- ^t-1)^(^i^) can be expressed by each other by linear combinations with coefficients involving the combinatorial numbers and Stirling numbers of the second kind.

TL;DR: A discrete counterpart of the main continuous result that guarantees the global asymptotic stability of the DFE for general epidemiological models is established and nonstandard finite difference schemes are proved to be dynamically consistent with the continuous model.

TL;DR: Two new basic methods of increasing complexity are introduced, involving characteristic function truncation of high frequencies and Hessian information to interpolate between low and high frequencies for function-space MCMC.

TL;DR: The main objective of this paper is to study the fractional Fourier transform (FrFT) and the generalized continuous wavelet transform and some of their basic properties.

TL;DR: A quasi-Newton's method for unconstrained multiobjective optimization of strongly convex objective functions is presented and a new algorithm is proposed and it is proved that its convergence is superlinear.

TL;DR: New fourth-order explicit methods of RKN type for solving perturbed oscillators are constructed paying special attention to the minimization of the principal term of the local truncation error.

TL;DR: This paper introduces a novel penalty function to penalize constraint violations, and shows that this penalty function is exact-that is, when the penalty parameter is sufficiently large, any local Solution of the approximate problem can be used to generate a corresponding local solution of the original problem.