Showing papers in "Applied Mathematics and Computation in 2000"

TL;DR: A new iteration technique is proposed to solve autonomous ordinary differential systems by introducing general Lagrange multipliers to construct correction functionals for the systems.

TL;DR: A reliable technique for calculating Adomian polynomials for nonlinear operators will be developed and the algorithm will be illustrated by studying suitable forms of nonlinearity.

TL;DR: This paper proposes a scheme to compute a steady state numerically and describes an iterative procedure to locate the critical values of the delay where a Hopf bifurcation of time periodic solutions takes place near the steady state.

TL;DR: In this article, a new version of the Monte Carlo event generator DPMJET is presented, which is a code system based on the Dual Parton Model and unifies all features of the DTUNUC-2, DMPJET-II and PHOJET1.12 event generators.

TL;DR: A Taylor method is developed to find the approximate solution of high-order linear Volterra-Fredholm integro-differential equations under the mixed conditions in terms of Taylor polynomials about any point.

TL;DR: The proposed adaptive grid size procedure provides concise adjustment policy and raises computational efficiency of using differential transformation method to approximate solutions of linear and nonlinear initial-value problems.

TL;DR: In this work, systems of linear and nonlinear partial differential equations and the reaction-diffusion Brusselator model are handled by applying the decomposition method, which is an improvement with regard to its accuracy and rapid convergence.

TL;DR: This analysis relies on combining a nonlinear alternative of Leray-Schauder type with Krasnoselskii's fixed point theorem in a cone to study the existence of single and multiple solutions to a second order impulsive equation with fixed moments.

TL;DR: How many different SDS that can be obtained by reordering a given multiset of update functions are analysed and a criterion for when one can derive concentration results on this number is given.

TL;DR: In this paper, the area-perimeter ratios are used to quantify 2D shape compactness and evaluate the effect of external disturbance on natural habitats Reference values for area (A) and perimeter (P) are defined and proven.

TL;DR: A parallelization-oriented multigrid method for fast solution of the resulting linear system using a four-color Gauss-Seidel relaxation technique for robustness and efficiency, and a scaled residual injection operator to reduce the cost of multigrids inter-grid transfer operator are designed.

TL;DR: A theory of function is developed in terms of the regularity (monogenicity) conditions and some such functions are constructed in a 16-dimensional Cayley-Dickson algebra.

TL;DR: The MARS Monte Carlo code system for simulation of hadronic and electromagnetic cascades in shielding, accelerator and detector components in the energy range from a fraction of an electronvolt up to 100 TeV is described in this paper.

TL;DR: The results not only generalize all the known ones for the diagonalizable matrices in the literature, but also sharp the corresponding estimates in Jia, which reveal some intrinsic relationships between the convergence properties and the eigen-characteristics of the coefficient matrix.

TL;DR: Three recurrent neural networks are presented for computing the weighted Moore-Penrose inverse of rank-deficient matrices with decaying self-connections and constant connections in each row or column.

TL;DR: This paper presents a family of new continuation Newton-like methods and its deformations for computing approximate solutions of the non-linear algebraic equation f(x)=0.

TL;DR: An error model developed earlier is used for GPS/INS filter mechanization and filter convergence issues are addressed and beneficial effect of vehicle maneuvers during the initial phase is established.

TL;DR: It is shown that the accuracy of numerical solution in the iterated collocation method can be improved greatly and Richardson's extrapolation is used to show this.

TL;DR: In this article, a P-stable exponentially fitted method is developed for the numerical integration of the Schrodinger equation, and an application to the resonance problem of the radial Schodoringer equation indicates that the new method is generally more efficient than the previously developed exponentially fitted methods.

TL;DR: The computed accuracy achievable by each scheme, the algebraic properties of the coefficient matrices arising from different schemes and the performance of the Gauss-Seidel iterative method, the preconditioned GMRES iterative Method, and the multigrid method, for solving linear systems arising from these schemes are studied.

TL;DR: This work proposes to use techniques from probabilistic structural dynamics in the understanding of statistical characteristics such as mean-square displacements for protein folding, and considers stochastic modeling of protein folding.

TL;DR: By applying the auxiliary variational principle technique, some existence theorems of solutions for a class of generalized mixed implicit quasi-variational inequalities are proved in Hilbert spaces using a novel and innovative iterative algorithm to compute approximate solutions.

TL;DR: A class of iterative formulae without derivatives without derivatives is proposed and these methods are shown to be quadratic convergence.

TL;DR: It is shown that the HBI solutions obtained by the method may be used effectively at small times when the exact solution of the KdV equation is not known.

TL;DR: An algorithm based on Adomian's decomposition method is developed to approximate the solution of the nonlinear integro-differential equation.

TL;DR: A second-order finite difference scheme is given for the numerical solution of a two-dimensional non-local boundary value problem for heat equation and the stability properties and truncation error are discussed and the results of numerical experiments are presented.

TL;DR: The purpose of this paper is to extend the model presented by M. Jones in 1991 to include variable delay in the feedback control loop and to study the phenomena of periodic breathing and apnea as they occur during quiet sleep in infant sleep respiration at around 4 months of age.

TL;DR: This paper provides an overview of ATR's Artificial Brain (CAM-Brain) Project, which aims to build an artificial brain containing some billion artificial neurons by the year 2001, and to use this brain to control the behaviors of a robot kitten ''Robokoneko''.

TL;DR: An optimization-based, non-overlapping domain decomposition method for the solution of elliptic partial differential equations is presented, and a conjugate gradient method for its solution is presented and analyzed.

TL;DR: Sufficient conditions are found for unboundedness of the solutions and oscillation of the bounded solutions of a class of impulsive differential-difference equations of second order.