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Displaying 501 – 520 of 1115

On the Arithmetic of Errors

Markov, Svetoslav, Hayes, Nathan (2010)

Serdica Journal of Computing

An approximate number is an ordered pair consisting of a (real) number and an error bound, briefly error, which is a (real) non-negative number. To compute with approximate numbers the arithmetic operations on errors should be well-known. To model computations with errors one should suitably define and study arithmetic operations and order relations over the set of non-negative numbers. In this work we discuss the algebraic properties of non-negative numbers starting from familiar properties of...

On the Asymptotic Analys of a Non-Symmetric Bar

Abderrazzak Majd (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

We study the 3-D elasticity problem in the case of a non-symmetric heterogeneous rod. The asymptotic expansion of the solution is constructed. The coercitivity of the homogenized equation is proved. Estimates are derived for the difference between the truncated series and the exact solution.

On the asymptotic convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations

A. I. Fedotov (2002)

Archivum Mathematicum

We prove the convergence of polynomial collocation method for periodic singular integral, pseudodifferential and the systems of pseudodifferential equations in Sobolev spaces $H^{s}$ via the equivalence between the collocation and modified Galerkin methods. The boundness of the Lagrange interpolation operator in this spaces when $s > 1 / 2$ allows to obtain the optimal error estimate for the approximate solution i.e. it has the same rate as the best approximation of the exact solution by the polynomials.

On the asymptotic exactness of Bank-Weiser's estimator.

Ricardo Durán, Rodolfo Rodriguez (1992)

Numerische Mathematik

On the asymptotic exactness of error estimators for linear triangular finite elements.

R. Durán, M.A. Muschietti, ... (1991)

Numerische Mathematik

On the Asymptotic Stability of ...-Methods for Delay Differential Equations.

M. Calvo, T. Grande (1989)

Numerische Mathematik

On the asymptotics of mean value points for some finite-difference operators.

Nikonorov, Yu.G. (2002)

Sibirskij Matematicheskij Zhurnal

On the Augmented System Approach to Sparse Least-Squares Problems.

M. Arioli, I.S. Duff, P.P.M. de Rijk (1987)

Numerische Mathematik

On the autocorrelation function of a trended series.

Cecilio Mar Molinero (1985)

Qüestiió

Equations are derived for the autocorrelation function of a trended series. The special case of a linear trend is analysed in detail. It is shown that the zero of the autocorrelation function of a trended series is, in general, only dependent on the length of the series. This result is valid for stochastic and deterministic trends.

On the axonometrical projection in the computer graphics.

Szabó, József (2001)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

On the backward parabolic equation: a critical survey of some current methods

Dang-Dinh Ang (1990)

Banach Center Publications

On the Behaviour of Global Errors at Infinity in the Numerical Integration of Stable Initial Value Problems.

O. Nevanlinna (1977)

Numerische Mathematik

On the behaviour of the generalized solution of the biharmonic equation in two dimensions near singular point of the boundary

Kopáček, Jiří (1982)

Equadiff 5

On the belonging of a perturbed vector to a subspace from a numerical view point.

Fassino, Claudia (2007)

Applied Mathematics E-Notes [electronic only]

On the best approximation properties of $C^{\infty}$ -smooth functions on an interval of the real axis (to the phenomenon of unsaturated numerical methods).

Belykh, V.N. (2005)

Sibirskij Matematicheskij Zhurnal

On the best choice of a damping sequence in iterative optimization methods.

Leonid N. Vaserstein (1988)

Publicacions Matemàtiques

Some iterative methods of mathematical programming use a damping sequence {αt} such that 0 ≤ αt ≤ 1 for all t, αt → 0 as t → ∞, and Σ αt = ∞. For example, αt = 1/(t+1) in Brown's method for solving matrix games. In this paper, for a model class of iterative methods, the convergence rate for any damping sequence {αt} depending only on time t is computed. The computation is used to find the best damping sequence.

Currently displaying 501 – 520 of 1115

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Displaying 501 – 520 of 1115

On the Arithmetic of Errors

On the Asymptotic Analys of a Non-Symmetric Bar

On the asymptotic convergence of the polynomial collocation method for singular integral equations and periodic pseudodifferential equations

On the asymptotic exactness of Bank-Weiser's estimator.

On the asymptotic exactness of error estimators for linear triangular finite elements.

On the Asymptotic Stability of ...-Methods for Delay Differential Equations.

On the asymptotics of mean value points for some finite-difference operators.

On the Augmented System Approach to Sparse Least-Squares Problems.

On the autocorrelation function of a trended series.

On the axonometrical projection in the computer graphics.

On the backward parabolic equation: a critical survey of some current methods

On the Behaviour of Global Errors at Infinity in the Numerical Integration of Stable Initial Value Problems.

On the behaviour of the generalized solution of the biharmonic equation in two dimensions near singular point of the boundary

On the belonging of a perturbed vector to a subspace from a numerical view point.

On the best approximation properties of $C^{\infty}$ -smooth functions on an interval of the real axis (to the phenomenon of unsaturated numerical methods).

On the best choice of a damping sequence in iterative optimization methods.

On the bicubic spline collocation method for Poisson's equations.

On the Boundary Element Method for Some Nonlinear Boundary Value Problems.

On the boundary element method for the Signorini problem of the Laplacian.

On the branching of solutions and Signorini's perturbation procedure in elasticity

Currently displaying 501 – 520 of 1115