Showing papers in "Applied Mathematics and Computation in 1993"

TL;DR: The proposed recurrent neural network is proven to be asymptotically stable and capable of computing large-scale nonsingular inverse matrices in real-time.

TL;DR: In this article, a convergence theorem under the usual Ostrowski-Kantorovich conditions for an equivalent form of the Halley method in Banach spaces is provided. And the best possible upper error bound for the method is obtained.

TL;DR: In this paper, a frequency domain method is developed for plant set estimation, based on using a Schroeder-phased multisinusoid input design which has the special property of placing input energy only at the discrete frequency points used in the computation.

TL;DR: In this article, a general convergence theory for the finite dimensional projection approximation of a class of linear operators is formulated, and the relation with the standard framework of stability and consistency of the approximation imply convergence.

TL;DR: In this article, a nonlinear reaction-convection-diffusion equation is solved using the decomposition method, which characterizes the time-dependent advection and dispersion of a chemically reactive material released into a prescribed flow field.

TL;DR: In this article, a computationally convenient and simple procedure is presented to match solution to boundary conditions in two-point boundary value problems for linear differential and partial differential equations for the nonlinear case.

TL;DR: Backward Euler methods are considered for a parabolic integrodifferential equation with a memory term containing a weakly singular kernel and the integral term is treated by means of a convolution quadrature suggested by Lubich.

TL;DR: In this article, it was shown that the transduction-amplification cascades of biological organisms unmask this hidden irreversibility, and that the real-time functional capabilities of organisms are due to this unmasking.

TL;DR: The argument that only organisms control what, when and where measurements are made on the physical universe, and that life exists and evolves only by virtue of nonformal measurement and control functions is elaborate.

TL;DR: In this article, the existence of a unique global minimum point of a convex function under some smoothness conditions was proved by using a constructive homotopy method, which permits us to calculate numerically such a minimum point.

TL;DR: A multigrid software package, MUDPACK-2, that approximates elliptic partial differential equations in two and three dimensions on uniform meshes without restrictions on the number of grid points in each direction is described.

TL;DR: In this paper, complex variable residue theory is used to arrive at an exact infinite series solution to the Epstein-Hubbell integral, which is different from those used to derive previous solutions, but produces exactly equivalent results.

TL;DR: The argument is made that biological modeling should recognize limitation simultation and reductionism.

TL;DR: Appreciation of the capacity for recognition or internal measurement set free from the condition of ceteris paribus provides the possibility of the biologicalization of physics.

TL;DR: In this paper, a class of singularly perturbed two point boundary value problems for second order ordinary differential equations is considered, and a computational method is suggested in which exponentially fitted difference schemes are combined with classical numerical methods.

TL;DR: In this article, the existence, uniqueness and uniqueness properties of the solution of the fractional order linear differential equation of fractional orders have been investigated, and some results concerning the existence and uniqueness of such solutions have been obtained.

TL;DR: The S-system method as mentioned in this paper is an effective method for finding the positive real roots of nonlinear algebraic equations, which is a well-known problem in many fields of science and engineering.

TL;DR: In this article, the authors discuss self-reference and unprogrammability with respect to the mixture between inter-and intracellular computations in biological systems, and replace the difference between computation velocities at different levels by a difference between the velocity of observation propagation and that of a particle.

TL;DR: In this article, it was shown that the Randles-Sevcik function √πX(x) from electrochemistry is identical to the Fermi-Dirac function (x), as defined by Dingle.

TL;DR: In this paper, the Kirchhoff transformation is used to solve nonlinear integro-heat equations in the case that the discretization is carried through by piecewise linear polynomials in space and by the implicit Euler method in time with quadrature rules which require the storage of relatively few values of the solution.

TL;DR: A methodology for the development of control functions associated with the elliptic grid generation system is presented, based on the optimal blending of the best characteristics of hyperbolic generation system and algebraic techniques.

TL;DR: In this paper, variance and bias reduction techniques for the steady state simulation response harmonic gradient estimator are discussed, and procedures incorporating these techniques, requiring a fixed number of simulation runs independent of the number of input parameters, are discussed.

TL;DR: In this article, the authors used martingale theory and a method-of-moments technique to derive a class of estimators for a multihypergeometric model for a capture-recapture experiment.

TL;DR: In this article, a method for solving second order matrix differential systems of the form t 2X''+tA(t)X'+B(t), where A and B are analytic matrix functions in a neighborhood of t = 0, is presented.

TL;DR: In this article, τ-estimates of parameters of general nonlinear models in finite dimensional spaces are derived and a probabilistic testing procedure is proposed and the method is supplemented by a numerical example.

TL;DR: In this article, a nonlinear trapezoidal formula for the solution of the Goursat problem is presented, which implements the harmonic mean (HM) averaging of the functional values rather than the arithmetic mean (AM) or the geometric mean (GM) averaging.

TL;DR: A combination of the two approaches to solving the nonlinear problem with a small perturbation parameter via domain decomposition is applied: iterative algorithms fordomain decomposition and a grid refinement technique on subdomains.

TL;DR: In this paper, the authors studied the existence, uniqueness and finite element approximation of solutions to the equations of steady-state magnetohydrodynamics with arbitrary boundary conditions which describe this phenomenon.

TL;DR: It is shown that at least 2n−cn-bit strings have exactly the maximum complexity that it is possible for an n-bit string to have.