Showing papers in "Applied Mathematics and Computation in 1996"
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TL;DR: Using differential transformation to solve eigenvalue problems is introduced in this paper, where two eigen value problems are solved by the present method and the calculated results are compared closely with the results obtained by another analytical method.
215 citations
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TL;DR: In this article, the stability of linear neutral delay-differential systems is investigated and some simple criteria for delay-independent stability of this class of problems are described by evaluating the measure and norm of corresponding matrices.
112 citations
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TL;DR: In this paper, sufficient conditions for the oscillation of all solutions of the perturbed quasilinear differential equation (a(t)|y′| α−1 y′)′ + Q(t, y) = P( t, y, y′), where α > 0, were given.
50 citations
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TL;DR: In this paper, the first-order necessary conditions for optimality are in the form of a two-point boundary-value problem involving differential and algebraic equations (BVP-DAE).
47 citations
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TL;DR: A new relaxation analysis and two acceleration schemes are proposed for the five-point red-black Gauss-Seidel smoothing in multigrid for solving a two-dimensional Poisson equation and it is discovered that underrelaxation is applicable to restriction half cycle and overrelaxations are applicable to interpolation half cycle.
43 citations
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TL;DR: A simple sigmoid function for approximation of cumulative standard normal probabilities is presented, which has an error of ±0.000043 for −8 ≤ Z ≤ 8.
43 citations
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TL;DR: The water allocation conflict in the Upper Rio Grande basin is a multiobjective decision problem with multiple decision makers as mentioned in this paper, and the problem is analyzed by two Multicriterion Decision Making (MCDM) techniques.
43 citations
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TL;DR: In this article, the authors introduce two efficient strategies that produce the accurate solutions to linear and nonlinear Volterra and Fredholm integral equations of the second kind, and test several linear, nonlinear, and integro-differential examples and the results showed improvements over existing techniques.
40 citations
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TL;DR: This paper analytically investigates the influence of aerodynamic shock-induced optical error on navigation accuracy when using a terrain scene-matching navigation sensor during a Mars landing.
36 citations
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TL;DR: In this article, a combined homotopy interior point method for solving general nonlinear programming problems is proposed, and the algorithm generated by this method to Kuhn-Tucker points of the general non linear programming problems are proved to be globally convergent, under the normal cone condition about the constraints, probably without the convexity.
36 citations
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TL;DR: In this article, the weakly singular Volterra-type integral equations are solved using the Adomian decomposition method and the phenomenon of the self-canceling "noise" terms.
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TL;DR: In this article, the weak solution process for the stochastic Navier-Stokes equation is constructed via a Girsanov-type transformation, and large deviation results in terms of Wentzel-Freidlin estimates are obtained for both the infinite-dimensional Brownian motion and the strong solution process.
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TL;DR: In this paper, a homotopy method for computing fixed points of twice continuously differentiable self-mappings in a class of nonconvex subsets in R n is presented.
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TL;DR: In this paper, the oscillatory and asymptotic behavior of all positive solutions of x ∗ = β 0 θ n (θ n + x n (t − τ)) − γx(t) about its positive steady state was studied, where x denotes the density of mature cells in blood circulation, τ is the time delay between the production of immature cells in the bone marrow.
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TL;DR: The iterative methods for computing the generalized inverse A T, S (2) , the unique matrix X such that XAX = X, R ( X ) = T , and N ( X) = S are established.
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TL;DR: In this article, a noninterpolated moving least squares method is used for parameter identification for ordinary differential equations of the second order using a moving least square (MLS) method.
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TL;DR: In this paper, the authors analyzed a model of stage-structured population growth where age to maturity is state dependent, and they found that a positive equilibrium always exists, and provided criteria for stability.
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TL;DR: In this article, the authors proved the existence of optimal parameters under considerably weaker conditions than those required in [1] and [2] for the generalized logistic function with saturation level A and the asymmetry coefficient γ.
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TL;DR: In this paper, an original image measurement method for quantifying facial changes due to aging was described, where the choice, number, and size of the aging parameters were quantified through a sample of 50 females, with ages ranging from 25 to 65.
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TL;DR: This contribution attempts to give an overview of the existing framework for identification and modeling of nonlinear dynamical systems, starting from the classic work of Wiener and continuing with the recent developments in artificial neural networks.
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TL;DR: In this paper, Adomian's decomposition method is applied to the nonlinear Chandrasekhar H-equation, and the solution is expressed as an infinite series.
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TL;DR: In this article, the authors obtained a sufficient condition for the impulsive delay differential equation χ′(t)=− ∑ i=1 n P i (t−r i(t)), t≠t k χ(t k + )−χ (t k )=I k (χ( t k )), kϵ N to have a nonoscillatory solution.
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TL;DR: In this paper, the existence of at least one zero of a continuous function under one of two smoothness conditions is proved, and the proof is constructive: numerical methods can be used to follow a solution curve with a computer.
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TL;DR: A brief survey of the fundamental ideas that underlie interval methods for global optimization can be found in this paper, where some recent work is also surveyed and possible future developments are suggested.
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TL;DR: A new group of methods, different in principle from those of homotopy, interval and cell-mapping-dynamical-analysis approaches, based on cellular discretization and the use of a certain simple necessity test of the solutions are developed for finding all the solutions of a nonlinear system of equations.
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TL;DR: In this paper, the authors survey recent work on numerical evaluation of particular solutions in the boundary elements method (BEM), particularly rbf approximations and related mathematical convergence theory.
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TL;DR: In this article, the existence of a robust asymptotically stable heteroclinic cycle for O(2)-symmetric fluid conveying tubes is shown. But the existence is not proved for the case of O(1) conveying tube.
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TL;DR: In this paper, the major problems encountered in the development of control systems for remotely operated underwater vehicles (ROV) are analyzed and the modeling of the hydrodynamic effects on the vehicle itself and on the umbilical cable is discussed.
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TL;DR: This work deals with sinc methods for second-order ordinary differential equations with homogeneous Dirichlet boundary conditions and numerical results are presented for both decomposition methods that exhibit the nearly identical errors achieved whether one uses the sinc-collocation method or the Sinc-Galerkin method.
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TL;DR: In this article, a model incorporating adsorption, mass transfer, and biofilm degradation was developed for performance prediction/simulation of bioactive carbon fixed-bed and fluidized-bed adsorbers in wastewater treatment.