Contents of Volume 78, Number 265

All articles in this issue are freely accessible.

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Superconvergent discontinuous Galerkin methods for second-order elliptic problems

Bernardo Cockburn, Johnny Guzmán and Haiying Wang.
Math. Comp. 78 (2009), 1-24
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MathSciNet review: 2448694

A multiscale finite element method for partial differential equations posed in domains with rough boundaries

Alexandre L. Madureira.
Math. Comp. 78 (2009), 25-34
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MathSciNet review: 2448695

Convergence and optimality of adaptive mixed finite element methods

Long Chen, Michael Holst and Jinchao Xu.
Math. Comp. 78 (2009), 35-53
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MathSciNet review: 2448696

Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation

Kenneth Hvistendahl Karlsen, Siddhartha Mishra and Nils Henrik Risebro.
Math. Comp. 78 (2009), 55-78
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MathSciNet review: 2448697

Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere

Q. T. Le Gia, I. H. Sloan and T. Tran.
Math. Comp. 78 (2009), 79-101
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MathSciNet review: 2448698

A class of singularly perturbed quasilinear differential equations with interior layers

P. A. Farrell, E. O’Riordan and G. I. Shishkin.
Math. Comp. 78 (2009), 103-127
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MathSciNet review: 2448699

Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel

Ben-yu Guo and Tian-jun Wang.
Math. Comp. 78 (2009), 129-151
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MathSciNet review: 2448700

The local Green’s function method in singularly perturbed convection-diffusion problems

Owe Axelsson, Evgeny Glushkov and Natalya Glushkova.
Math. Comp. 78 (2009), 153-170
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A simplified generalized Gauss-Newton method for nonlinear ill-posed problems

Pallavi Mahale and M. Thamban Nair.
Math. Comp. 78 (2009), 171-184
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MathSciNet review: 2448702

A homographic best approximation problem with application to optimized Schwarz waveform relaxation

D. Bennequin, M. J. Gander and L. Halpern.
Math. Comp. 78 (2009), 185-223
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MathSciNet review: 2448703

Local sampling theorems for spaces generated by splines with arbitrary knots

Wenchang Sun.
Math. Comp. 78 (2009), 225-239
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MathSciNet review: 2448704

Asymptotic expansions of Gauss-Legendre quadrature rules for integrals with endpoint singularities

Avram Sidi.
Math. Comp. 78 (2009), 241-253
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MathSciNet review: 2448705

New method to obtain small parameter power series expansions of Mathieu radial and angular functions

T. M. Larsen, D. Erricolo and P. L. E. Uslenghi.
Math. Comp. 78 (2009), 255-274
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MathSciNet review: 2448706

Gaussian Hypergeometric series and supercongruences

Robert Osburn and Carsten Schneider.
Math. Comp. 78 (2009), 275-292
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MathSciNet review: 2448707

Spectral decomposition of real symmetric quadratic $𝜆$-matrices and its applications

Moody T. Chu and Shu-Fang Xu.
Math. Comp. 78 (2009), 293-313
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MathSciNet review: 2448708

On the constant in the Mertens product for arithmetic progressions. II: Numerical values

A. Languasco and A. Zaccagnini.
Math. Comp. 78 (2009), 315-326
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MathSciNet review: 2448709

On Newman polynomials which divide no Littlewood polynomial

Arturas Dubickas and Jonas Jankauskas.
Math. Comp. 78 (2009), 327-344
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MathSciNet review: 2448710

Explicit factors of some iterated resultants and discriminants

Laurent Busé and Bernard Mourrain.
Math. Comp. 78 (2009), 345-386
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MathSciNet review: 2448711

Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers

Kanat Abdukhalikov and Rudolf Scharlau.
Math. Comp. 78 (2009), 387-403
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MathSciNet review: 2448712

Tiles in quasicrystals with quartic irrationality

Kevin G. Hare.
Math. Comp. 78 (2009), 405-420
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MathSciNet review: 2448713

Superharmonic numbers

Graeme L. Cohen.
Math. Comp. 78 (2009), 421-429
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MathSciNet review: 2448714

Congruences for the Ramanujan function and generalized class numbers

Bernhard Heim.
Math. Comp. 78 (2009), 431-439
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MathSciNet review: 2448715

Nontrivial elements of Sha explained through K3 surfaces

Adam Logan and Ronald van Luijk.
Math. Comp. 78 (2009), 441-483
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MathSciNet review: 2448716

A generic approach to searching for Jacobians

Andrew V. Sutherland.
Math. Comp. 78 (2009), 485-507
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MathSciNet review: 2448717

Primary decomposition of zero-dimensional ideals over finite fields

Shuhong Gao, Daqing Wan and Mingsheng Wang.
Math. Comp. 78 (2009), 509-521
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MathSciNet review: 2448718

A statistical relation of roots of a polynomial in different local fields

Yoshiyuki Kitaoka.
Math. Comp. 78 (2009), 523-536
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MathSciNet review: 2448719

Fields of definition of building blocks

Jordi Quer.
Math. Comp. 78 (2009), 537-554
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MathSciNet review: 2448720

On the computation of class numbers of real abelian fields

Tuomas Hakkarainen.
Math. Comp. 78 (2009), 555-573
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MathSciNet review: 2448721

Genus two curves with quaternionic multiplication and modular Jacobian

Josep González and Jordi Guàrdia.
Math. Comp. 78 (2009), 575-589
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MathSciNet review: 2448722

Bimonotone enumeration

Michael Eisermann.
Math. Comp. 78 (2009), 591-613
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MathSciNet review: 2448723

Corrigenda to “Calculation of the regulator of $\mathbf{Q}(√D)$ by use of the nearest integer continued fraction algorithm”

Keith R. Matthews, John P. Robertson and Jim White.
Math. Comp. 78 (2009), 615-616
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MathSciNet review: 2448724

Errata to “Evaluation of zeta function of the simplest cubic field at negative odd integers”

Hyun Kwang Kim.
Math. Comp. 78 (2009), 617-618
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MathSciNet review: 2448725