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Book Reviews
Math. Comp.

Book reviews do not contain an abstract. You may download the entire set of reviews from this issue using the links below.

An introduction to iterative Toeplitz solvers

Reviewer(s) Daniel B. Szyld
Math. Comp.
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Nonlinear nonoverlapping Schwarz waveform relaxation for semilinear wave propagation

Laurence Halpern; Jérémie Szeftel
Math. Comp.
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Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations

L. Hajdu; T. Kovács
Math. Comp.
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Convergence and optimality of adaptive mixed finite element methods

Long Chen; Michael Holst; Jinchao Xu
Math. Comp.
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A class of singularly perturbed quasilinear differential equations with interior layers

P. A. Farrell; E. O’Riordan; G. I. Shishkin
Math. Comp.
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A multiscale finite element method for partial differential equations posed in domains with rough boundaries

Alexandre L. Madureira
Math. Comp.
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Local sampling theorems for spaces generated by splines with arbitrary knots

Wenchang Sun
Math. Comp.
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Spectral decomposition of real symmetric quadratic $\lambda $-matrices and its applications

Moody T. Chu; Shu-Fang Xu
Math. Comp.
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Asymptotic estimation of $\xi ^{(2n)}(1/2)$: On a conjecture of Farmer and Rhoades

Mark W. Coffey
Math. Comp.
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Genus two curves with quaternionic multiplication and modular Jacobian

Josep González; Jordi Guàrdia
Math. Comp.
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Bimonotone enumeration

Michael Eisermann
Math. Comp.
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Global convergence of the Polak-Ribi\`{e}re-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems

Zeng Xin Wei; Guo Yin Li; Li Qun Qi
Math. Comp.
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A simplified generalized Gauss-Newton method for nonlinear ill-posed problems

Pallavi Mahale; M. Thamban Nair
Math. Comp.
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On the constant in the Mertens product for arithmetic progressions. II: Numerical values

A. Languasco; A. Zaccagnini
Math. Comp.
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Divided differences of inverse functions and partitions of a convex polygon

Michael S. Floater; Tom Lyche
Math. Comp.
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The zeros of Dedekind zeta functions and class numbers of CM-fields

Geon-No Lee; Soun-Hi Kwon
Math. Comp.
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Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel

Ben-yu Guo; Tian-jun Wang
Math. Comp.
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New expansions of numerical eigenvalues for $-\Delta u=\lambda \rho u$ by nonconforming elements

Qun Lin; Hung-Tsai Huang; Zi-Cai Li
Math. Comp.
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A generic approach to searching for Jacobians

Andrew V. Sutherland
Math. Comp.
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Congruences for the Ramanujan function and generalized class numbers

Bernhard Heim
Math. Comp.
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Prime factors of consecutive integers

Mark Bauer; Michael A. Bennett
Math. Comp.
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Superconvergent discontinuous Galerkin methods for second-order elliptic problems

Bernardo Cockburn; Johnny Guzmán; Haiying Wang
Math. Comp.
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Solving resultant form equations over number fields

István Gaál; Michael Pohst
Math. Comp.
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A globally convergent BFGS method for nonlinear monotone equations without any merit functions

Wei-Jun Zhou; Dong-Hui Li
Math. Comp.
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On Newman polynomials which divide no Littlewood polynomial

Arturas Dubickas; Jonas Jankauskas
Math. Comp.
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Asymptotic expansions of Gauss-Legendre quadrature rules for integrals with endpoint singularities

Avram Sidi
Math. Comp.
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Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers

Kanat Abdukhalikov; Rudolf Scharlau
Math. Comp.
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Computation of Maass waveforms with nontrivial multiplier systems

Fredrik Strömberg
Math. Comp.
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Monotonicity of some functions involving the gamma and psi functions

Stamatis Koumandos
Math. Comp.
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Tiles in quasicrystals with quartic irrationality

Kevin G. Hare
Math. Comp.
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Identifying minimal and dominant solutions for Kummer recursions

Alfredo Deaño; Javier Segura; Nico M. Temme
Math. Comp.
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Fields of definition of building blocks

Jordi Quer
Math. Comp.
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Corrigenda to ``Calculation of the regulator of $\mathbf {Q}(\sqrt {D})$ by use of the nearest integer continued fraction algorithm''

Keith R. Matthews; John P. Robertson; Jim White
Math. Comp.
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A statistical relation of roots of a polynomial in different local fields

Yoshiyuki Kitaoka
Math. Comp.
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Local projection stabilization of equal order interpolation applied to the Stokes problem

Sashikumaar Ganesan; Gunar Matthies; Lutz Tobiska
Math. Comp.
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The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data

Yinnian He
Math. Comp.
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On the order of convergence of the discontinuous Galerkin method for hyperbolic equations

Gerard R. Richter
Math. Comp.
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A superconvergent LDG-hybridizable Galerkin method for second-order elliptic problems

Bernardo Cockburn; Bo Dong; Johnny Guzmán
Math. Comp.
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Computing singular values of diagonally dominant matrices to high relative accuracy

Qiang Ye
Math. Comp.
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Nontrivial elements of Sha explained through K3 surfaces

Adam Logan; Ronald van Luijk
Math. Comp.
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Positive quadrature formulas III: asymptotics of weights

Franz Peherstorfer
Math. Comp.
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Primary decomposition of zero-dimensional ideals over finite fields

Shuhong Gao; Daqing Wan; Mingsheng Wang
Math. Comp.
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The construction of good extensible rank-1 lattices

Josef Dick; Friedrich Pillichshammer; Benjamin J. Waterhouse
Math. Comp.
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Gaussian Hypergeometric series and supercongruences

Robert Osburn; Carsten Schneider
Math. Comp.
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Polynomial extension operators for $H^1$, $\boldsymbol {\mathit {H}}(\mathbf {curl})$ and $\boldsymbol {\mathit {H}}(\mathbf {div})$\,-\,spaces on a cube

M. Costabel; M. Dauge; L. Demkowicz
Math. Comp.
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Robust a posteriori error estimation for the nonconforming Fortin--Soulie finite element approximation

Mark Ainsworth; Richard Rankin
Math. Comp.
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A Gilbert-Varshamov type bound for Euclidean packings

Gabriele Nebe; Chaoping Xing
Math. Comp.
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The power of adaption for approximating functions with singularities

Leszek Plaskota; Grzegorz W. Wasilkowski; Yaxi Zhao
Math. Comp.
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New method to obtain small parameter power series expansions of Mathieu radial and angular functions

T. M. Larsen; D. Erricolo; P. L. E. Uslenghi
Math. Comp.
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A $p$-adic algorithm to compute the Hilbert class polynomial

Reinier Bröker
Math. Comp.
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Explicit factors of some iterated resultants and discriminants

Laurent Busé; Bernard Mourrain
Math. Comp.
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A stable test for strict sign regularity

V. Cortés; J. M. Peña
Math. Comp.
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A finite difference method on layer-adapted meshes for an elliptic reaction-diffusion system in two dimensions

R. Bruce Kellogg; Torsten Linss; Martin Stynes
Math. Comp.
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A mixed method for axisymmetric div-curl systems

Dylan M. Copeland; Jayadeep Gopalakrishnan; Joseph E. Pasciak
Math. Comp.
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Optimal order multilevel preconditioners for regularized ill-posed problems

Andrei Draganescu; Todd F. Dupont
Math. Comp.
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Pointwise approximation of corner singularities for a singularly perturbed reaction-diffusion equation in an $L$-shaped domain

Vladimir B. Andreev; Natalia Kopteva
Math. Comp.
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On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations

Christian Lubich
Math. Comp.
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