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An intoduction to formal orthogonality and some of its applications.

Claude Brezinski (2002)

RACSAM

This paper is an introduction to formal orthogonal polynomials and their application to Padé approximation, Krylov subspace methods for the solution of systems of linear equations, and convergence acceleration methods. Some more general formal orthogonal polynomials, and the concept of biorthogonality and its applications are also discussed.

Approximants de Padé-Hermite. 1ère partie: théorie.

J. Della Dora, C. Di Crescenzo (1984)

Numerische Mathematik

Approximants de Padé-Hermite. 2ème partie: programmation.

J. Della Dora, C. Di Crescenzo (1984)

Numerische Mathematik

Asymptotic expansions and acceleration of convergence for higher order iteration processes.

Guido Walz (1991)

Numerische Mathematik

Asymptotisches Verhalten und Konvergenzbeschleunigung von Iterationsfolgen.

H. Ortloff (1986)

Numerische Mathematik

Bayesian MCMC estimation of the rose of directions

Michaela Prokešová (2003)

Kybernetika

The paper concerns estimation of the rose of directions of a stationary fibre process in $R^{3}$ from the intersection counts of the process with test planes. A new approach is suggested based on Bayesian statistical techniques. The method is derived from the special case of a Poisson line process however the estimator is shown to be consistent generally. Markov chain Monte Carlo (MCMC) algorithms are used for the approximation of the posterior distribution. Uniform ergodicity of the algorithms used is...

Bordering methods and progressive forms for sequence transformations

C. Brezinski (1988)

Applicationes Mathematicae

Brève communication. Généralisation des extrapolations polynomiales et rationnelles

Claude Brezinski (1972)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Brève communication. Transformations de suites

B. Germain-Bonne (1973)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

Composite Sequence Transformations.

Claude Brezinski (1985)

Numerische Mathematik

Conditions d'application et de convergence de procédés d'extrapolation.

Claude Brezinski (1972/1973)

Numerische Mathematik

Contraction Properties of Sequence Transformations.

Claude Brezinski (1989)

Numerische Mathematik

Convergence acceleration by the $E_{+ p}$ -algorithm

A. Fdil (1998)

Applicationes Mathematicae

A new algorithm which generalizes the E-algorithm is presented. It is called the $E_{+ p}$ -algorithm. Some results on convergence acceleration for the $E_{+ p}$ -algorithm are proved. Some applications are given.

Convergence Acceleration of Limit Periodic Continued Fractions Under Asymptotic Side Conditions.

Haakon Waadeland, Lisa Jacobsen (1988)

Numerische Mathematik

Convergence conditions for Secant-type methods

Ioannis K. Argyros, Said Hilout (2010)

Czechoslovak Mathematical Journal

We provide new sufficient convergence conditions for the convergence of the secant-type methods to a locally unique solution of a nonlinear equation in a Banach space. Our new idea uses recurrent functions, and Lipschitz-type and center-Lipschitz-type instead of just Lipschitz-type conditions on the divided difference of the operator involved. It turns out that this way our error bounds are more precise than earlier ones and under our convergence hypotheses we can cover cases where earlier conditions...

Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations

Shu Hua Zhang, Tao Lin, Yan Ping Lin, Ming Rao (2000)

Applications of Mathematics

We present two defect correction schemes to accelerate the Petrov-Galerkin finite element methods [19] for nonlinear Volterra integro-differential equations. Using asymptotic expansions of the errors, we show that the defect correction schemes can yield higher order approximations to either the exact solution or its derivative. One of these schemes even does not impose any extra regularity requirement on the exact solution. As by-products, all of these higher order numerical methods can also be...

Currently displaying 21 – 40 of 84

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Displaying 21 – 40 of 84

An intoduction to formal orthogonality and some of its applications.

Approximants de Padé-Hermite. 1ère partie: théorie.

Approximants de Padé-Hermite. 2ème partie: programmation.

Asymptotic expansions and acceleration of convergence for higher order iteration processes.

Asymptotisches Verhalten und Konvergenzbeschleunigung von Iterationsfolgen.

Bayesian MCMC estimation of the rose of directions

Bordering methods and progressive forms for sequence transformations

Brève communication. Généralisation des extrapolations polynomiales et rationnelles

Brève communication. Transformations de suites

Composite Sequence Transformations.

Conditions d'application et de convergence de procédés d'extrapolation.

Contraction Properties of Sequence Transformations.

Convergence acceleration by the $E_{+ p}$ -algorithm

Convergence Acceleration of Limit Periodic Continued Fractions Under Asymptotic Side Conditions.

Convergence conditions for Secant-type methods

Defect correction and a posteriori error estimation of Petrov-Galerkin methods for nonlinear Volterra integro-differential equations

Deferred Corrections Using Uncentered End Formulas.

Die Determinantenmethode zur Berechnung des charakteristischen Exponenten der endlichen Hillschen Differentialgleichung.

Discrete Newton Methods and Iterated Defect Corrections.

Eine kurze Anmerkung zur Romberg-Integration.

Currently displaying 21 – 40 of 84