Showing papers in "Journal of Computational and Applied Mathematics in 2003"

TL;DR: In this article, a method for finding certain eigenvalues of a generalized eigenvalue problem that lie in a given domain of the complex plane is proposed, which projects the matrix pencil onto a subspace associated with the eigen values that are located in the domain via numerical integration.

TL;DR: In this paper, the geometrical interpretation of several iterative methods to solve a nonlinear scalar equation is presented, and the extension to general Banach spaces and some computational aspects of these methods are discussed.

TL;DR: In this paper, a forward-backward inertial procedure for finding a zero of the sum of two maximal monotone operators is proposed and its convergence is established under a coco-ercivity condition with respect to the solution set.

TL;DR: In this article, a general approach to construct analytical smoothing functions for the mesh-free, Lagrangian and particle method of smoothed particle hydrodynamics is presented.

TL;DR: In this article, the authors proposed a split-step approach to write the 3D Maxwell's equations, which allows arbitrary orders of accuracy in both time and space, and features in many cases unconditional stability.

TL;DR: In this paper, the authors discuss some of the remarkable properties which the Painleve equations possess including connection formulae, Backlund transformations associated discrete equations, and hierarchies of exact solutions.

TL;DR: In this paper, a variant of the Euler-Maruyama method is used to define the numerical solutions for stochastic differential delay equations (SDDEs) with variable delay.

TL;DR: The connection between closed Newton-Cotes differential methods and symplectic integrators is considered in this article, where the authors apply the symplectic schemes in order to solve Hamilton's equations of motion which are linear in position and momentum.

TL;DR: In this paper, a trigonometrically fitted predictor-corrector (P-C) scheme was developed, which is based on the well-known two-step second-order Adams-Bashforth method (as predictor) and on the third order Adams-Moulton method as corrector.

TL;DR: In this paper, the Schrodinger equation is transformed into a Hamiltonian canonical equation and the concept of asymptotic symplecticness is introduced and methods of order up to 3 are developed.

TL;DR: In this article, a generator of hybrid explicit four-step methods with minimal phase-lag is developed, which are of sixth algebraic order and have large intervals of periodicity.

TL;DR: In this article, the authors give an elementary introduction to the theory of Leonard pairs, defined as an ordered pair of linear transformations that satisfy conditions (i), (ii) below.

TL;DR: This work improves well-known fast algorithms for the discrete spherical Fourier transform with a computational complexity of O(N2 log2 N), and presents, for the first time, a fast algorithm for scattered data on the sphere.

TL;DR: In this paper, compactly supported tight wavelet frames and orthonormal M-wavelet bases were constructed in L2(Rd) of exponential decay, such that they can have both arbitrarily high smoothness and any preassigned order of vanishing moments.

TL;DR: Projection-type methods as mentioned in this paper are a class of simple methods for solving variational inequalities, especially for complementarity problems, and they have been widely used in the literature for many applications.

TL;DR: In this paper, a modification of the Newton method for finding a zero of a univariate function is considered, and it is proven that the modification converges cubically in the case of multiple roots.

TL;DR: Nikiforov et al. as discussed by the authors extended the theory of discrete orthogonal polynomials (on a linear lattice) to poynomials satisfying orthogonality conditions with respect to r positive discrete measures.

TL;DR: In this paper, the authors considered the problem of robust guaranteed cost control of linear discrete time-delay systems with parametric uncertainties and developed a control design method such that the closed-loop system with a cost function has a upper bound irrespective of all admissible parameter uncertainties and unknown time delays.

TL;DR: In this paper, a new method for the resolution of the Gibbs phenomenon based on Gegenbauer polynomials orthogonal with respect to the weight function (1 - x2)λ-1/2 was proposed.

TL;DR: In this article, the Schauder fixed point theorem and analysis method were used to establish the existence of solutions for the m-point boundary value problem, where b, ki > 0 (i = 1,2,...,m - 2),0 b*.

TL;DR: In this article, the authors define q-Bernstein polynomials, which generalize the classical Bernstein polynomial, and show that the difference of two consecutive q-Benzelferns of a function can be expressed in terms of second-order divided differences of f.

TL;DR: In this paper, a numerical method to solve one-dimensional time-dependent convection-diffusion problem with dominating convection term is presented, which is uniformly convergent with respect to the diffusion parameter.

TL;DR: A family of implicit methods based on intra-step Chebyshev interpolation coupled with the exponential-fitted nature of the method substantially reduces local errors making these procedures good candidates to be used in long-term simulations of perturbed oscillatory systems with a dissipative term.

TL;DR: In this paper, the authors provide a rigorous mathematical foundation of the existence and uniqueness of strong solutions for differential-algebraic equations driven by Gaussian white noise, which are assumed to have noise-free constraints and to be uniformly of DAE-index 1.

TL;DR: In this paper, necessary and sufficient conditions are obtained for the existence of Lyapunov functional of extended Lur'e form to guarantee absolute stability for multiple delay general RL control systems with multiple nonlinearities.

TL;DR: In this paper, the authors derived a formula for indefinite integration of analytic functions over (-1,s) where -1 > s > 1, by means of the double exponential transformation and the Sinc method, and the error of the formula behaves approximately as exp(c1N/logc2N) where N is the number of function evaluations of the integrand.

TL;DR: In this article, the hybrid global optimization method was extended to the multi-dimensional case, where local optimizers guarantee efficiency and speed of producing a local optimal solution in the neighbourhood of a feasible point and feasible point finders provide the theoretical guarantee for the new method to always produce the global optimal solution(s) correctly.

TL;DR: In this paper, the authors studied the order of convergence of the mNm when the multiplicity p is known and showed that the two most efficient methods in the family of the nNm converge faster than the classical Newton's method when p is unknown.

TL;DR: In this article, the role of isotropy in geometric integration and link numerical integration schemes to modern differential geometry through the use of partial connection forms, which generalizes moving frames and connections on principal bundles to manifolds with non-free actions.

TL;DR: In this paper, a model for the adhesive, quasistatic and frictionless contact between a viscoelastic body and a deformable foundation is described, where the adhesion process is modelled by a bonding field on the contact surface, and contact is described by a modified normal compliance condition.