Showing papers in "Applied Mathematics Letters in 1993"

TL;DR: This work describes a new shortest paths algorithm that achieves the same O(nm) worst-case time bound as Bellman-Ford algorithm but is superior in practice.

TL;DR: In this article, a generalized vector variational inequality (GVVI) is considered and the existence theorem is established under assumptions of C -pseudomonotonicity and V -hemicontinuity.

TL;DR: In this article, a Wavelet-Galerkin solver with a nontrivial adaptation of the standard capacitance matrix method is presented for the solution of partial differential equations in nonseparable domains.

TL;DR: In this paper, a concept of dimension allowing for inexact measurement of angular distance is introduced, and two basic properties, robustness and exponential growth, are proved, and connections to antipodal sphere codes and Hadamard matrices are discussed.

TL;DR: In this article, the relation between algebraic invariants and integrability for planar polynomial systems was studied, and it was shown that if the sum of the degrees of the invariants exceeds the degree of the system, then the system is integrable.

TL;DR: In this article, the oscillation of the bounded solutions of the neutral difference equation is studied, where Δ is the forward difference operator defined by Δ n = n+1 - n.

TL;DR: In this article, the Adomian decomposition method was applied to solve non-integer order differential equations of the form O(n, n) = 0, 1, n.

TL;DR: In this article, a pair of identities were established to provide a useful tool in the reconstruction of evolutionary trees in Kimura's 3-parameter model, which can be used in the 3-dimensional model.

TL;DR: In this paper, it was shown that the subclass of even Δ-matroids for which the cardinalities of all feasible sets have the same parity corresponds to the class of strong symmetric exchange axiom.

TL;DR: In this paper, the core operator and the interior operator in a linear space and a linear topological space, respectively, are investigated. And the authors call attention to some elementary properties of convex sets for the core and interior operators.

TL;DR: In this paper, upward propagating magnetoacoustic waves in an ideal atmosphere are considered and an equation for the resonance is derived, which shows that resonance may occur for many values of the magnetic field and of the frequency if the wavelength is matched to the strength of magnetic field.

TL;DR: This work hopes to further stimulate interest in the hypercube graphs by introducing a tantalizing unsolved problem that is based on dominating sets for this very regularly structured family of graphs.

TL;DR: In this article, the authors studied the regularity of the monotone rearrangement of a function u ∗ of one function u belonging to a weighted space and gave a characterisation ensuring the continuity of u∗.

TL;DR: In this article, the convergence and stability of the Galerkin regularization method for variational inequalities with nonsmooth unbounded uniformly and properly monotone operators on Banach spaces are investigated.

TL;DR: In this article, a finite element method based on a least-squares variational principle is developed for the velocity-vorticity-pressure formulation of the Navier-Stokes equations.

TL;DR: In this article, the authors extend previous work on continuous-time shortest path problems to provide a practically useful terminating algorithm in the case where cost functions are piecewise-linear and starting and stopping times are constant.

TL;DR: In this paper, a Halley-Chebysheff-type method of order almost three using divided differences of order one was introduced to solve nonlinear operator equations, which is similar to our approach.

TL;DR: In this paper, a control problem for an approximate system for the transition probabilities of the quantum-mechanical harmonic oscillator is considered. Accessible states are identified. And the control problem is solved.

TL;DR: In this paper, a single explicit relation expressing the ray tracing and energy conservation equations in terms of the polar radius of the reflector and its first and second derivatives is derived for existence of a solution to a boundary value problem describing a reflector system which transforms a nonaxially symmetric input energy density into a uniform output energy distribution.

TL;DR: In this article, the Dirichlet boundary condition is assumed on the boundary of the obstacle and a formula is derived for A ≔ A 1 − A 2, which is used for a derivation of the derivative of the scattering amplitude with respect to the obstacle boundary.

TL;DR: A Runge-Kutta type method was developed in this paper with an algebraic order eight, a large interval of periodicity and a phase-lag of order twelve.

TL;DR: In this paper, a variable-step method is developed for numerical integration of special second-order initial value problems, such as the phase shift problem, and applied to the one-dimensional Schrodinger equation.

TL;DR: In this paper, a new method is given to prove uniqueness of the solution to basic obstacle inverse scattering problems, where the solution is shown to be the same as the solution of the original inverse scattering problem.

TL;DR: The communcation complexity of functions defined in lattices is bounded from above and below as discussed by the authors, which generalizes the results of Lovasz and Ahlswede and Cai.

TL;DR: In this article, a class of feedback linearizable systems which are stabilizable by a feedback law using the state estimate given by an observer is given. But the authors do not consider the stabilization problem in the sense that the state estimates of the observer are independent of the system state.

TL;DR: In this paper, a singular integral equation of first kind with a Cauchy type kernel in (0, ∞) and in a finite interval is solved by utilizing the solution of a Singular Integral Equation of First Kind (SIE) of the linear theory of water waves.

TL;DR: In this paper, the authors consider the functional equation ǫ(x) = ∑ j a ij ƒ(τ j x) + h i (x) where aij and Tj are fixed constants, 0 L 2 (dx x )) into itself.

TL;DR: In this article, the authors gave a generalization of the authors' result, which showed that the convexity of sets A and B assures corA+B = cor(A + B) and intA+ B = int(A plus B) in a linear space and a linear topological space, respectively.

TL;DR: In this paper, the time-dependent spread of contaminants in moving fluids is studied by computer-intensive discretized procedures which have some disadvantages, such as time complexity and computational complexity.

TL;DR: In this paper, an elementary derivation is given to algebraically compute the perimeter centroid of a convex polygon and an algebraic algorithm for computing the centroid is presented.