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Mathematics of Computation, Volume 78
Volume 78, Number 265, 2009
- Bernardo Cockburn

, Johnny Guzmán, Haiying Wang:
Superconvergent discontinuous Galerkin methods for second-order elliptic problems. 1-24 - Alexandre L. Madureira:

A multiscale finite element method for partial differential equations posed in domains with rough boundaries. 25-34 - Long Chen, Michael J. Holst, Jinchao Xu:

Convergence and optimality of adaptive mixed finite element methods. 35-53 - Kenneth H. Karlsen, Siddhartha Mishra, Nils Henrik Risebro:

Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation. 55-78 - Quoc Thong Le Gia

, Ian H. Sloan
, Thanh Tran:
Overlapping additive Schwarz preconditioners for elliptic PDEs on the unit sphere. 79-101 - Paul A. Farrell, Eugene O'Riordan

, Grigorii I. Shishkin
:
A class of singularly perturbed quasilinear differential equations with interior layers. 103-127 - Ben-yu Guo, Tian-Jun Wang:

Composite generalized Laguerre-Legendre spectral method with domain decomposition and its application to Fokker-Planck equation in an infinite channel. 129-151 - Owe Axelsson

, Evgeny Glushkov
, Natalya Glushkova
:
The local Green's function method in singularly perturbed convection-diffusion problems. 153-170 - Pallavi Mahale

, M. Thamban Nair
:
A simplified generalized Gauss-Newton method for nonlinear ill-posed problems. 171-184 - Daniel Bennequin, Martin J. Gander

, Laurence Halpern:
A homographic best approximation problem with application to optimized Schwarz waveform relaxation. 185-223 - Wenchang Sun:

Local sampling theorems for spaces generated by splines with arbitrary knots. 225-239 - Avram Sidi:

Asymptotic expansions of Gauss-Legendre quadrature rules for integrals with endpoint singularities. 241-253 - T. M. Larsen, Danilo Erricolo

, Piergiorgio L. E. Uslenghi:
New method to obtain small parameter power series expansions of Mathieu radial and angular functions. 255-274 - Robert Osburn, Carsten Schneider

:
Gaussian Hypergeometric series and supercongruences. 275-292 - Moody T. Chu

, Shu-Fang Xu:
Spectral decomposition of real symmetric quadratic λ-matrices and its applications. 293-313 - Alessandro Languasco

, Alessandro Zaccagnini
:
On the constant in the Mertens product for arithmetic progressions. II: Numerical values. 315-326 - Arturas Dubickas, Jonas Jankauskas

:
On Newman polynomials which divide no Littlewood polynomial. 327-344 - Laurent Busé, Bernard Mourrain:

Explicit factors of some iterated resultants and discriminants. 345-386 - Kanat S. Abdukhalikov

, Rudolf Scharlau:
Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers. 387-403 - Kevin G. Hare

:
Tiles in quasicrystals with quartic irrationality. 405-420 - Graeme L. Cohen:

Superharmonic numbers. 421-429 - Bernhard Heim:

Congruences for the Ramanujan function and generalized class numbers. 431-439 - Adam Logan, Ronald van Luijk:

Nontrivial elements of Sha explained through K3 surfaces. 441-483 - Andrew V. Sutherland

:
A generic approach to searching for Jacobians. 485-507 - Shuhong Gao, Daqing Wan, Mingsheng Wang:

Primary decomposition of zero-dimensional ideals over finite fields. 509-521 - Yoshiyuki Kitaoka:

A statistical relation of roots of a polynomial in different local fields. 523-536 - Jordi Quer:

Fields of definition of building blocks. 537-554 - Tuomas Hakkarainen:

On the computation of class numbers of real abelian fields. 555-573 - Josep González, Jordi Guàrdia

:
Genus two curves with quaternionic multiplication and modular Jacobian. 575-589 - Michael Eisermann:

Bimonotone enumeration. 591-613 - Keith R. Matthews

, John P. Robertson
, Jim White:
Corrigenda to "Calculation of the regulator of Q(√D) by use of the nearest integer continued fraction algorithm". 615-616 - Hyun Kwang Kim:

Errata to "Evaluation of zeta function of the simplest cubic field at negative odd integers". 617-618
Volume 78, Number 266, 2009
- Rob P. Stevenson

, Manuel Werner:
A multiplicative Schwarz adaptive wavelet method for elliptic boundary value problems. 619-644 - Klaus Deckelnick, Gerhard Dziuk:

Error analysis for the elastic flow of parametrized curves. 645-671 - Jun Hu, Zhongci Shi:

Analysis for quadrilateral MITC elements for the Reissner-Mindlin plate problem. 673-711 - Hengguang Li

:
A-priori analysis and the finite element method for a class of degenerate elliptic equations. 713-737 - Luka Grubisic

, Jeffrey S. Ovall
:
On estimators for eigenvalue/eigenvector approximations. 739-770 - Zhiqiang Cai

, Yanqiu Wang:
An error estimate for two-dimensional Stokes driven cavity flow. 771-787 - Victorita Dolean

, Frédéric Nataf, Gerd Rapin:
Deriving a new domain decomposition method for the Stokes equations using the Smith factorization. 789-814 - Jie Shen

, Li-lian Wang:
On spectral approximations in elliptical geometries using Mathieu functions. 815-844 - Arnaud Debussche, Jacques Printems:

Weak order for the discretization of the stochastic heat equation. 845-863 - Laurence Halpern, Jérémie Szeftel:

Nonlinear nonoverlapping Schwarz waveform relaxation for semilinear wave propagation. 865-889 - Jinyuan Du:

On the collocation methods for singular integral equations with Hilbert kernel. 891-928 - Gil Ariel, Björn Engquist, Richard Tsai:

A multiscale method for highly oscillatory ordinary differential equations with resonance. 929-956 - Stefano Maset, Marino Zennaro:

Unconditional stability of explicit exponential Runge-Kutta methods for semi-linear ordinary differential equations. 957-967 - Bernardo de la Calle Ysern

, Guillermo López Lagomasino
, Lothar Reichel:
Stieltjes-type polynomials on the unit circle. 969-997 - Huiyuan Li, Yuan Xu:

Discrete Fourier analysis on a dodecahedron and a tetrahedron. 999-1029 - Adhemar Bultheel

, Ruymán Cruz-Barroso, Karl Deckers, Pablo González-Vera:
Rational Szego quadratures associated with Chebyshev weight functions. 1031-1059 - Kevin A. Broughan:

Evaluating Jacquet's GL(n) Whittaker function. 1061-1072 - Thomas R. Hagedorn

:
Computation of Jacobsthal's function h(n) for n<50. 1073-1087 - Andreas Enge:

The complexity of class polynomial computation via floating point approximations. 1089-1107 - Eric D. Driver, John W. Jones:

A targeted Martinet search. 1109-1117 - Valérie Flammang:

Trace of totally positive algebraic integers and integer transfinite diameter. 1119-1125 - Donald Jason Gibson:

A covering system with least modulus 25. 1127-1146 - Mark W. Coffey:

Asymptotic estimation of ξ(2n)(1/2): On a conjecture of Farmer and Rhoades. 1147-1154 - John Voight

:
Shimura curves of genus at most two. 1155-1172 - Roger Oyono

:
Non-hyperelliptic modular Jacobians of dimension 3. 1173-1191 - Andrzej Paszkiewicz:

A new prime p for which the least primitive root (modp) and the least primitive root (modp2) are not equal. 1193-1195 - Richard P. Brent

, Paul Zimmermann:
Ten new primitive binary trinomials. 1197-1199 - Lajos Hajdu, Tünde Kovács:

Parallel LLL-reduction for bounding the integral solutions of elliptic Diophantine equations. 1201-1210 - M. Bullejos, José Carlos Rosales

:
Proportionally modular diophantine inequalities and the Stern-Brocot tree. 1211-1226 - Andreas-Stephan Elsenhans, Jörg Jahnel:

New sums of three cubes. 1227-1230 - Daniel B. Szyld:

An introduction to iterative Toeplitz solvers. 1231-1232 - Levent Tunçel:

Optimization algorithms on matrix manifolds. 1233-1236
Volume 78, Number 267, 2009
- Alexander A. Weiss, Barbara I. Wohlmuth:

A posteriori error estimator and error control for contact problems. 1237-1267 - Sören Bartels

, Christian Lubich, Andreas Prohl:
Convergent discretization of heat and wave map flows to spheres using approximate discrete Lagrange multipliers. 1269-1292 - Christoph Schwab, Rob P. Stevenson

:
Space-time adaptive wavelet methods for parabolic evolution problems. 1293-1318 - Ian H. Sloan

, Holger Wendland
:
Inf-sup condition for spherical polynomials and radial basis functions on spheres. 1319-1331 - Thierry Gallouët, Raphaèle Herbin, Jean-Claude Latché:

A convergent finite element-finite volume scheme for the compressible Stokes problem. Part I: The isothermal case. 1333-1352 - Mika Juntunen, Rolf Stenberg:

Nitsche's method for general boundary conditions. 1353-1374 - Seungil Kim

, Joseph E. Pasciak:
The computation of resonances in open systems using a perfectly matched layer. 1375-1398 - Yiorgos Sokratis Smyrlis:

Applicability and applications of the method of fundamental solutions. 1399-1434 - Victor Didenko

, Bernd Silbermann:
Computational approach to solvability of refinement equations. 1435-1466 - Erwan Faou:

Analysis of splitting methods for reaction-diffusion problems using stochastic calculus. 1467-1483 - Eskil Hansen

, Alexander Ostermann:
Exponential splitting for unbounded operators. 1485-1496 - David I. Ketcheson

:
Computation of optimal monotonicity preserving general linear methods. 1497-1513 - Jian-Feng Cai

, Stanley J. Osher, Zuowei Shen
:
Linearized Bregman iterations for compressed sensing. 1515-1536 - Say Song Goh, Tim N. T. Goodman, S. L. Lee:

Hybrid spline frames. 1537-1551 - Ken'ichiro Tanaka

, Masaaki Sugihara, Kazuo Murota:
Function classes for successful DE-Sinc approximations. 1553-1571 - Kwong-Ip Liu

, Josef Dick
, Fred J. Hickernell
:
A multivariate fast discrete Walsh transform with an application to function interpolation. 1573-1591 - Avram Sidi:

Variable transformations and Gauss-Legendre quadrature for integrals with endpoint singularities. 1593-1612 - J. A. Ezquerro

, Miguel Ángel Hernández-Verón
:
An improvement of the region of accessibility of Chebyshev's method from Newton's method. 1613-1627 - Sheehan Olver

:
On the convergence rate of a modified Fourier series. 1629-1645 - Dmitrii Kouznetsov:

Solution of F(z+1)=exp(F(z)) in complex z-plane. 1647-1670 - Gui-Hua Lin:

Combined Monte Carlo sampling and penalty method for Stochastic nonlinear complementarity problems. 1671-1686 - O. N. Karpenkov:

Constructing multidimensional periodic continued fractions in the sense of Klein. 1687-1711 - Mathieu Dutour Sikiric

, Achill Schürmann, Frank Vallentin:
Complexity and algorithms for computing Voronoi cells of lattices. 1713-1731 - Géza Kós, Péter Ligeti, Péter Sziklai:

Reconstruction of matrices from submatrices. 1733-1747 - Anton Leykin, Frank Sottile:

Galois groups of Schubert problems via homotopy computation. 1749-1765 - Josep M. Miret

, Ramiro Moreno, Anna Rio, Magda Valls:
Computing the ℓ-power torsion of an elliptic curve over a finite field. 1767-1786 - Masaaki Harada, Akihiro Munemasa, Boris Venkov:

Classification of ternary extremal self-dual codes of length 28. 1787-1796 - Takashi Fukuda, Keiichi Komatsu:

On the Iwasawa λ-invariant of the cyclotomic ℤ2-extension of ℚ(√p). 1797-1808 - Andreas Enge:

Computing modular polynomials in quasi-linear time. 1809-1824 - John Cullinan:

A computational approach to the 2-torsion structure of abelian threefolds. 1825-1836 - Arturas Dubickas, Michael J. Mossinghoff:

Lower bounds for Z-numbers. 1837-1851 - Ke-Jian Wu, Zhi-Wei Sun:

Covers of the integers with odd moduli and their applications to the forms xm-2n and x2-F3n/2. 1853-1866 - Daniela Calvetti:

Matrix methods in data mining and pattern recognition. 1867-1868
Volume 78, Number 268, 2009
- Jan Maes, Peter Oswald

:
Multilevel finite element preconditioning for √3 refinement. 1869-1890 - David Mora

, Rodolfo Rodríguez
:
A piecewise linear finite element method for the buckling and the vibration problems of thin plates. 1891-1917 - Todd F. Dupont, Itir Mogultay:

A symmetric error estimate for Galerkin approximations of time-dependent Navier-Stokes equations in two dimensions. 1919-1927 - Ramiro Acevedo

, Salim Meddahi
, Rodolfo Rodríguez
:
An E-based mixed formulation for a time-dependent eddy current problem. 1929-1949 - Mohammad Asadzadeh, Alfred H. Schatz, Wolfgang L. Wendland:

A new approach to Richardson extrapolation in the finite element method for second order elliptic problems. 1951-1973 - Kassem Mustapha

, William McLean
:
Discontinuous Galerkin method for an evolution equation with a memory term of positive type. 1975-1995 - Jiequan Li, Huazhong Tang, Gerald Warnecke, Lumei Zhang:

Local oscillations in finite difference solutions of hyperbolic conservation laws. 1997-2018 - István Gyöngy, Nicolai V. Krylov:

First derivatives estimates for finite-difference schemes. 2019-2046 - Erwan Faou, Tony Lelièvre

:
Conservative stochastic differential equations: Mathematical and numerical analysis. 2047-2074 - G. N. Milstein, Michael V. Tretyakov

:
Solving parabolic stochastic partial differential equations via averaging over characteristics. 2075-2106 - Jan Cermák, Jirí Jánský:

On the asymptotics of the trapezoidal rule for the pantograph equation. 2107-2126 - Jian-Feng Cai

, Stanley J. Osher, Zuowei Shen
:
Convergence of the linearized Bregman iteration for ℓ1-norm minimization. 2127-2136 - Ping Zhou, Annie A. M. Cuyt, Jieqing Tan:

General order multivariate Padé approximants for Pseudo-multivariate functions. II. 2137-2155 - Edward J. Fuselier, Francis J. Narcowich, Joseph D. Ward, Grady B. Wright:

Error and stability estimates for surface-divergence free RBF interpolants on the sphere. 2157-2186 - Juan Arias de Reyna

, Jan van de Lune:
High precision computation of a constant in the theory of trigonometric series. 2187-2191 - Qiu-Ming Luo:

Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials. 2193-2208 - Jun-ichi Tamura, Shin-ichi Yasutomi:

A new multidimensional continued fraction algorithm. 2209-2222 - Michael Griebel, Stephan Knapek:

Optimized general sparse grid approximation spaces for operator equations. 2223-2257 - Zhivko Prodanov Nedev:

An algorithm for finding a nearly minimal balanced set in Fp. 2259-2267 - William Y. C. Chen, Ernest X. W. Xia:

The ratio monotonicity of the Boros-Moll polynomials. 2269-2282 - Eric Bach, Dominic Klyve, Jonathan P. Sorenson

:
Computing prime harmonic sums. 2283-2305 - Hugo Chapdelaine

:
Computation of p-units in ray class fields of real quadratic number fields. 2307-2345 - Nils Bruin, Michael Stoll:

Two-cover descent on hyperelliptic curves. 2347-2370 - Raimundas Vidunas, Alexander V. Kitaev:

Computation of highly ramified coverings. 2371-2395 - Grigor Grigorov, Andrei Jorza, Stefan Patrikis, William A. Stein, Corina E. Tarnita

:
Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves. 2397-2425 - S. C. Coutinho, Marcos da Silva Ferreira:

Algebraic solutions of Jacobi equations. 2427-2433 - Ismael Jiménez Calvo, Javier Herranz

, Germán Sáez:
A new algorithm to search for small nonzero |x3-y2| values. 2435-2444 - Daniel B. Szyld:

The matrix eigenvalue problem: GR and Krylov subspace methods. 2445-2446

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