Showing papers in "Journal of Computational and Applied Mathematics in 1979"

TL;DR: A numerical implementation of S.N. Chow and J. Yorke's proposed algorithm for computing fixed points of C2 maps that is globally convergent with probability one is presented here, where careful attention has been paid to computational efficiency, accuracy, and robustness.

TL;DR: This paper is concerned with finding numerical solutions of MPBVP's by converting these to equivalent initial value problems by converting the discretization of certain BVP's for partial differential equations over irregular domains with the method of lines.

TL;DR: In this article, the authors considered a certain functional equation satisfied by solutions of the associated Stieltjes moment problem and showed that all distribution functions which satisfy this functional equation are found up to singular functions.

TL;DR: In this paper, the error propagation characteristics of the polynomial evaluation schemes of Horner, Clenshaw and Reinsch are analysed, and Newbery's transformation of the Horner method is extended to Clenshaugh's algorithm.

TL;DR: In this paper, a simple numerical method based on an energy conservation law and employing an inverse shooting procedure was proposed to find a continuous and discontinuous solution to the Troesch problem.

TL;DR: In this article, it is shown how a good choice of the parameter ω may reduce dramatically the complexity of the computations, by a theoretical study of the relation holding between the error on an eigenvalue, the order of the matrix, and the value of ω.

TL;DR: A comparative study of 15 general-purpose numerical integrators is reported in this paper, where each of the programs in the study is tested on a battery of 110 test integrals displaying a wide variety of integrand behaviour.

TL;DR: In this article, the second order differential systems with periodic boundary conditions are considered and four different methods are employed to find the unique solution of the linear systems and several sufficient conditions are provided for the existence and uniqueness for the nonlinear systems.

TL;DR: In this paper, a general set of orthogonal q-polynomials (Pro (x); m = 0, 1, 2,..., N} is introduced and charac- terized by its three-term recurrence relation.

TL;DR: In this article, a simplified version of statistical regularization is presented and applied to data graduation by smoothing natural splines, which is used for algebraization and smoothing regularization of linear Fredholm integral equations of the first kind.

TL;DR: Several basic techniques are described for computing Pade approximants which are not normal, modifications of some known methods for the computation of normal Pade approximation methods.

TL;DR: In this paper, a recurrence relation of the form ∑ i=0 r ω i (k)m k+i {λ} [f] = ω(k) for integrals (called modified moments) was constructed.

TL;DR: It is shown that best Chebyshev approximations by exponential-polynomial sums are characterized by (a variable number of) alternations of their error curve and are unique.

TL;DR: This bibliography on the evaluation of numerical software has been written at the request of the IFIP Working Group on Numerical Software (IFIP WG 2.5), and is divided into nine different sections.

TL;DR: In this paper, a list and discussion of published programs for best approximations of functions by linear and nonlinear families in all standard forms is presented.==================\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/)|

TL;DR: In this article, two low-order, A 0 -stable Adams-type correctors are presented, which have better absolute stability properties than the corresponding Adams-Moulton correctors but at the same time preserve other desirable characteristics of the Adams correctors.

TL;DR: In this article, a comparison of hopscotch algorithms for solving elliptic partial differential equations is made for the model problem, and a comparison with standard methods for the problem is also made.

TL;DR: In this article, the first 2N + m + 1 expansion coefficients of the perturbation series for a function were derived for calculating the Pade approximation to an operator-valued function.

TL;DR: In this paper, the authors derived some properties for systems of linear ODEs with time-periodic coefficient matrix satisfying an additional symmetry condition (Hale's property E), which can be used in the numerical integration of such systems and reduce the computer time by 50 %.

TL;DR: In this article, an algorithm for solving the time-dependent diffusion equation by the hopscotch method in cylindrical and Cartesian co-ordinates is given, where the boundary between media having different diffusion coefficients, solubilities and continuous sinks for the diffusing substances may be either along or between lines of grid points.

TL;DR: In this article, a modified weighted least square approach for estimating the timedependent parameters of non-stationary autoregressive models is proposed and a modified frequency domain approach is also presented.

TL;DR: In this article, the problem of maximizing f(x) subject to x 1 + √ √ n + x j ⩾ b j for j = 1, √ N, N is solved by a feasible direction method that takes advantage of its special structure.

TL;DR: In this paper, the authors extend the theory concerning the three-level E.A.D.I. schemes to cover the numerical solution of more general (than the trivial first boundary value problem for Poisson's equation in a square) two-dimensional second order elliptic problems.

TL;DR: In this paper, a collocation method is described which obtains approximate solutions to quasilinear parabolic problems on a general two-dimensional domain, best suited for obtaining robust solutions to smooth problems with the accuracy required in most engineering applications.

TL;DR: Tauberian constants arising as improper integrals involving the quadratfrei numbers are evaluated in this paper, and the accuracy of the computations is analyzed. But this paper is restricted to quadrat frei numbers.

TL;DR: In this article, a numerical comparison is made between three integration methods for semi-discrete parabolic partial differential equations in two space variables with a mixed derivative, and linear as well as non-linear equations are considered.