Applied numerical mathematics

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  Año 2010, Vol. 60, Número 12

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    An introduction to the topics presented at the conference �Approximation and extrapolation of convergent and divergent sequences and series� CIRM Luminy: September 28, 2009�October 2, 2009

    Ernst Joachim Weniger

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    págs. 1184-1187

    
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    Reliable root detection with the qd-algorithm: When Bernoulli, Hadamard and Rutishauser cooperate

    H. Allouche, Annie Cuyt

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    págs. 1188-1208

    
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    From numerical quadrature to Padé approximation

    C. Brezinski

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    págs. 1209-1220

    
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    A generalization of the G-transformation and the related algorithms

    Claude Brezinski , He Yi, Xing-Biao Hu, Sun Jian-Qing

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    págs. 1221-1230

    
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    Extensions of Drummond's process for convergence acceleration

    C. Brezinski, M. Redivo Zaglia

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    págs. 1231-1241

    
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    Asymptotic and factorial expansions of Euler series truncation errors via exponential polynomials

    Riccardo Borghi

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    págs. 1242-1250

    
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    Computation of rational Szego"�Lobatto quadrature formulas

    Adhemar Bultheel , Pablo González Vera , Erik Hendriksen, Olav Njastad

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    págs. 1251-1263

    
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    On the ambiguity of functions represented by divergent power series

    Irinel Caprini, Jan Fischer, Ivo Vrkoc

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    págs. 1264-1272

    
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    Padé approximants and the prediction of non-perturbative parameters in particle physics

    Oscar Catà

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    págs. 1273-1285

    
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    Positive rational interpolatory quadrature formulas on the unit circle and the interval

    Karl Deckers, Adhemar Bultheel , Ruymán Cruz Barroso, Francisco José Perdomo Pío

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    págs. 1286-1299

    
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    qd block algorithm

    André Draux , Mohamed Sadik

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    págs. 1300-1308

    
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    Stokes phenomenon for the prolate spheroidal wave equation

    F. Fauvet, J.P. Ramis, F Richard Jung, J Thomann

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    págs. 1309-1319

    
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    100 years of improvements of bounding properties of Padé approximants to the Stieltjes functions: One-point, two-point and N-point Padé approximants

    Jacek Gilewicz

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    págs. 1320-1331

    
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    Calculation of the characteristic functions of anharmonic oscillators

    Ulrich D. Jentschura, Jean Zinn-Justin

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    págs. 1332-1341

    
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    Classical multiple orthogonal polynomials of Angelesco system

    D.W. Lee

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    págs. 1342-1351

    
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    Asymptotic behaviours and general recurrence relations

    Elie Leopold

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    págs. 1352-1363

    
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    Padé approximation and continued fractions

    Lisa Lorentzen

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    págs. 1364-1370

    
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    Study of a generalized Levin-Weniger convergence accelerator of numerical series: Particular cases and applications to multi-electron integrals in atomic physics

    Ignacio Porras Sánchez, Francisco Cordobés Aguilar

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    págs. 1371-1381

    
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    Recurrence for values of the zeta function

    Marc Prévost

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    págs. 1382-1394

    
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    Survey of numerical stability issues in convergence acceleration

    Avram Sidi

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    págs. 1395-1410

    
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    A recursive algorithm for the G transformation and accurate computation of incomplete Bessel functions

    Richard M. Slevinsky, Hassan Safouhi

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    págs. 1411-1417

    
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    Strong coupling asymptotics of the B2 function in o4 theory and QED

    I.M. Suslov

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    págs. 1418-1428

    
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    Summation of divergent power series by means of factorial series

    Ernst Joachim Weniger

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    págs. 1429-1441

    
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    Efficient algorithm for summation of some slowly convergent series

    Pawel Wozny

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    págs. 1442-1453

    
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    Summation of divergent series: Order-dependent mapping

    Jean Zinn-Justin

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    págs. 1454-1464