Showing papers in "Applied Mathematics and Computation in 1995"

TL;DR: In this paper, a new numerical scheme for nonlinear Schrodinger type equations is presented, which conserves the energy and charge of the systems and it is linearly implicit.

TL;DR: In this article, the authors studied the Cauchy problem of the multivalued fractional differential equation and proved the existence and some other properties of the solution of the problem.

TL;DR: This two-level Picard method is proven to converge for fixed Reynolds number as h → 0.

TL;DR: In this article, the Adomian's decomposition method is effectively implemented to establish an analytic solution and a reliable numerical approximation to the Goursat partial differential equation, and the method supplied quantitatively reliable results for these types of problems.

TL;DR: In this paper, a convex combination of all derivatives on related triangular planes is used to estimate the derivative values at the vertices of the data points, and the method has comparable accuracy to the existing method of least squares minimization but with less computation.

TL;DR: In this article, the effects of layering are included by use of an exact factorization of the displacement and stress fields in terms of generalized transmission and reflection coefficients in a multilayered viscoelastic half-space.

TL;DR: In this paper, a volume integral equation method is introduced as a new numerical scheme for the solution of certain elastodynamic problems in unbounded solids containing multiple inclusions, and the effectiveness of the method is compared with the boundary integral equation (BIE) method for different problem geometries.

TL;DR: In this paper, the authors used the Adomian's decomposition method to solve the nonlinear advection problem by observing the appearance of the self-canceling noise terms whose sum vanishes in the limit.

TL;DR: Based on the two-phase theory of Biot, the authors analytically derived the spectral response of a column made of nearly saturated poroelastic soils as a function of soil stiffness, degree of saturation, porosity, specific gravity, and permeability.

TL;DR: Bajpai as mentioned in this paper examined the validity of some orthogonality relations and expansion formulas involving a class of hypergeometric polynomials which are essentially certain modified Jacobi polynomorphisms.

TL;DR: In this article, the rotation problem of an orthotropic cylinder containing an isotropic core and a rigid core is considered, and the elastic constants and density are taken as a power function of the radial coordinate.

TL;DR: In this article, necessary and sufficient conditions for perfect aggregation in Bayesian estimation are developed for a class of frequently used reliability models, and some implications of these results are discussed. But perfect aggregation is very unlikely, because analyzing data at the system level when component- or subsystem-level data are available can be misleading.

TL;DR: In this article, a rate-type constitutive analysis applicable to brittle elastic materials whose elastic properties degrade in the course of deformation due to evolution of many micro-cracks is presented.

TL;DR: In this paper, two indices, the symmetry index and the antisymmetry index, are introduced and used to describe the pattern of sustained oscillations caused by the delay in neural networks with real and purely imaginary eigenvalues.

TL;DR: In this article, the authors established sufficient conditions for the oscillation of solutions of mixed neutral functional differential equations of the form d n dt n (x(t) + cx(t−h) + Cx (t+H)) + qx(c, c, g, G, h, and H) = 0, where c, C, g and H are real constants, and q and Q are nonnegative real constants.

TL;DR: In this paper, the large amplitude planar oscillations of a string pendulum the length of which can be varied is studied, where the string is modeled as a massive one-dimensional viscoelastic continuum and the end mass as a point mass.

TL;DR: In this paper, the problem of impulsive control and optimization for linear dynamical systems is addressed, and some impulsive controllability criteria and conditions for the existence of optimal solutions are obtained.

TL;DR: In this paper, the effects of the index of the power-law viscosity model, buoyancy parameter, and generalized Prandtl number on local heat transfer and skin friction coefficients are investigated for selected values of ξ.

TL;DR: It is shown that the E(3) cubic spline is more accurate than the second one, and also, it has superconvergence properties which the not-a-knot cubic splines does not have.

TL;DR: In this article, the thermal stress problem for a transversely isotropic, infinite circular region has been investigated by using the Laplace transform and Lagrange's method for variation of parameters.

TL;DR: In this article, it was shown that the out-of-plane oscillations of a tethered satellite system about the radial earth pointing position can be stabilised by tension control.

TL;DR: In this article, it is shown that it is more appropriate to use least squares regression in analyses of such data rather than geometric mean regression, when factor data are measured with error.

TL;DR: In this paper, the effect of a longitudinal control force on the stability of a tethered satellite system is investigated, where the displacement component in the motion due to the nonlinear coupling is assumed depending only on this component and also when a prevailing out-of-plane oscillation is considered.

TL;DR: The Lag-averaged Euler method as discussed by the authors is a generalization of Euler's method for alternating series and is shown to be much more efficient than the classical Euler algorithm near the discontinuities.

TL;DR: In this paper, the rotation number of a circle map is approximated by an efficient numerical method, which works well for both irrational rotation numbers and rational ones, and allows us to distinguish between the two cases.

TL;DR: In this paper, the uniqueness problem for the shape recovery of a smooth Lambertian surface from an image obtained by illuminating this surface by an overhead, distant point light-source is revisited.

TL;DR: In this article, the authors considered the influence of forces following from conservative, circulatory, gyroscopic, and friction effects on the stability behavior of a set of second-order differential equations with constant coefficients.

TL;DR: In this article, an underwater cable dynamics model and a realistic control system for tethered UAVs is presented, which allows deployment, regulation, and retrieval of an unmanned underwater vehicle tethered to a ship.

TL;DR: In this article, a cost function defined in the future horizon is minimized and the control signal is calculated for a control horizon, but only the first one is applied and the procedure is repeated (receding horizon strategy).

TL;DR: In this paper, the authors proposed a new analytical radiometric correction method for rugged terrain image data which allows the use of more general Minnaert's law for the bidirectional reflection at the ground surface.