Convergence acceleration during the 20th century

From MaRDI portal
Publication:5932843

DOI10.1016/S0377-0427(00)00360-5zbMath0976.65003WikidataQ127580071 ScholiaQ127580071MaRDI QIDQ5932843

Claude Brezinski

Publication date: 17 July 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)




Related Items (52)

Geometrical inverse matrix approximation for least-squares problems and acceleration strategiesSome convergence, stability, and data dependence results for $K^{\ast }$ iterative method of quasi-strictly contractive mappingsApproximating the trace of iterative solutions at the interfaces with Nonuniform Fourier transform and singular value decomposition for cost-effectively accelerating the convergence of Schwarz domain decompositionPadé approximation and Apostol-Bernoulli and Apostol-Euler polynomialsAccelerating convergence in minisum location problem with \(\ell p\) normsConvergence acceleration algorithms related to a generalized E-transformation and its particular casesA review of procedures for summing Kapteyn series in mathematical physicsGeneralizations of Shanks transformation and corresponding convergence acceleration algorithms via PfaffiansShanks Sequence Transformations and Anderson AccelerationRecurrence for values of the zeta functionNew properties of a certain method of summation of generalized hypergeometric seriesGeneralized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithmIntegrability and geometry of the Wynn recurrenceAcceleration of sequences with transformations involving hypergeometric functionsHermite-Padé approximation and integrabilityAn accelerated Poincaré-map method for autonomous oscillatorsThe analytical summation of a new class of Kapteyn seriesA Chebyshev-Markov-Stieltjes separation type theorem for classical Romberg quadratureAn extended multistep Shanks transformation and convergence acceleration algorithm with their convergence and stability analysisSecant Acceleration of Sequential Residual Methods for Solving Large-Scale Nonlinear Systems of EquationsThe genesis and early developments of Aitken's process, Shanks' transformation, the \(\varepsilon\)-algorithm, and related fixed point methodsConvergence acceleration of polynomial chaos solutions via sequence transformationThird Order Iterative Method for Nonlinear Difference SchemesAnalysis of the time-Schwarz DDM on the heat PDEPetviashvili type methods for traveling wave computations. II: Acceleration with vector extrapolation methodsAn approach to the Gummel map by vector extrapolation methodsOn stochastic finite difference schemesAccelerated finite difference schemes for second order degenerate elliptic and parabolic problems in the whole spaceA new integrable convergence acceleration algorithm for computing Brezinski-Durbin-Redivo-Zaglia's sequence transformation via PfaffiansOn finite difference schemes for degenerate stochastic parabolic partial differential equationsMathematical and numerical connections between polynomial extrapolation and Padé approximants: applications in structural mechanicsUnnamed ItemIterative residual-based vector methods to accelerate fixed point iterationsExtended procedures for extrapolation to the limitIntegrating products of Bessel functions with an additional exponential or rational factorOn an integral representation of a class of Kapteyn (Fourier-Bessel) series: Kepler's equation, radiation problems and Meissel's expansionA generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable systemConstruction of new generalizations of Wynn's epsilon and rho algorithm by solving finite difference equations in the transformation orderA solver combining reduced basis and convergence acceleration with applications to non‐linear elasticityChanging variables in Taylor series with applications to PDEsUnnamed ItemA Proof That Anderson Acceleration Improves the Convergence Rate in Linearly Converging Fixed-Point Methods (But Not in Those Converging Quadratically)A comparative study on iterative algorithms of almost contractions in the context of convergence, stability and data dependencyConvergence acceleration of iterative algorithms. Applications to thin shell analysis and Navier-Stokes equationsConvergence Acceleration and Improvement by Regular MatricesConvergence Acceleration for Time-Dependent Parametric Multifidelity ModelsSequence transformations in proofs of irrationality of some fundamental constantsElimination techniques: From extrapolation to totally positive matrices and CAGDAsymptotic Analysis of Multilevel Best Linear Unbiased EstimatorsUnnamed ItemAn efficient method to compute solitary wave solutions of fractional Korteweg–de Vries equationsAccelerated derivative-free nonlinear least-squares applied to the estimation of Manning coefficients



Cites Work


This page was built for publication: Convergence acceleration during the 20th century