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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(e) ISSN 0025-5718(p)

     

Papers accepted for publication in Mathematics of Computation which have not yet been published

Papers are displayed alphabetically by first author listed.

Akrivis, Georgios
Implicit-explicit multistep methods for nonlinear parabolic equations

Antonietti, Paola F.; Beirao da Veiga, Lourenco; Verani, Marco
A mimetic discretization of elliptic obstacle problems

Antonopoulos, D. C.; Dougalis, V. A.
Error estimates for Galerkin approximations of the 'classical' Boussinesq system

Area, Ivan; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa G.
Zeros of classical orthogonal polynomials of a discrete variable

Bao, Weizhu; Cai, Yongyong
Optimal error estimates of finite difference methods for the Gross-Pitaevskii equation with angular momentum rotation

Bauer, I.; Pignatelli, R.
The classification of minimal product-quotient surfaces with $p_g=0$

Beers, J.; Henshaw, D.; McCall, C. K.; Mulay, S. B.; Spindler, M.
Corrigenda and addenda to ``Fundamentality of a cubic unit $u$ for $\mathbb{Z}[u]$''

Ben-yu, Guo; Tao, Sun; Chao, Zhang
Jacobi and Laguerre quasi-orthogonal approximations and related interpolations

Bernstein, Daniel J.; Birkner, Peter; Lange, Tanja; Peters, Christiane
ECM using Edwards curves

Berthon, Christophe; LeFloch, Philippe G.; Turpault, Rodolphe
Late-time/stiff relaxation asymptotic-preserving approximations of hyperbolic equations

Biasse, Jean-Francois
An $L(1/3)$ algorithm for ideal class group and regulator computation in certain number fields

Bidwell, S.; Hassell, M. E.; Westphal, C. R.
A weighted least squares finite element method for elliptic problems with degenerate and singular coefficients

Blanes, S.; Casas, F.; Chartier, P.; Murua, A.
Splitting methods with complex coefficients for some classes of evolution equations

Bollobas, Bela; Lackmann, Malte; Schleicher, Dierk
A small probabilistic universal set of starting points for finding roots of complex polynomials by Newton's method

Bona, J. L.; Chen, H.; Karakasian, O.; Xing, Y.
Conservative, discontinuous-Galerkin methods for the generalized Korteweg-de Vries equation

Brenner, Susanne C.; Sung, Li-Yeng; Zhang, Yi
Finite element methods for the displacement obstacle problem of clamped plates

Broughan, Kevin; Guzman Sanchez, Sergio; Luca, Florian
Perfect repdigits

Bruin, Peter
Computing in Picard groups of projective curves over finite fields

Burger, Martin; Moller, Michael; Benning, Martin; Osher, Stanley
An adaptive inverse scale space method for compressed sensing

Bu, Sunyoung; Huang, Jingfang; Minion, Michael L.
Semi-implicit Krylov deferred correction methods for differential algebraic equations

Cai, Tianxin; Chen, Deyi
A new kind of Hilbert-Waring's problem

Cai, Zhiqiang; Zhang, Shun
Mixed methods for stationary Navier-Stokes equations based on pseudostress-pressure-velocity formulation

Caley, Timothy
The Prouhet-Tarry-Escott problem for Gaussian integers

Castillo, Kenier; Marcellan, Francisco
Generators of rational spectral transformations for nontrivial $\mathcal{C}$-functions

Castillo, Kenier; Lamblem, Regina da Silva; Rafaeli, Fernando Rodrigo; Ranga, Alagacone Sri
Szeg\H o and para-orthogonal polynomials on the real line: Zeros and canonical spectral transformations

Castro, M. H.; Menegatto, V. A.
Eigenvalue decay of positive operators on the sphere

Chang, Xiao-Wen; Stehle, Damien; Villard, Gilles
Perturbation analysis of the QR factor R in the context of LLL lattice basis reduction

Chenoweth, Samuel K. M.; Soria, Julio; Ooi, Andrew
An improved interpolation scheme for finite volume simulations on unstructured meshes

Chen, Chuanmiao
The highest order superconvergence for bi-$k$ degree rectangular elements at nodes -a proof of 2k-conjecture

Cheze, Guillaume
A recombination algorithm for the decomposition of multivariate rational functions

Cockburn, Bernardo; Shi, Ke
Conditions for superconvergent of HDG methods for Stokes flow

Cockburn, Julio Bernardo; Merev, Ivan; Qian, Jianliang
Local a posteriori error estimates for time-dependent Hamilton-Jacobi equations

Coffey, Mark W.; Csordas, George
On the log-concavity of a Jacobi theta function

Cohen, Elaine; Lyche, Tom; Riesenfeld, Richard F
A b-spline-like basis for the Powell-Sabin 12-split based on simplex splines

Cohl, Howard S.
Table errata to ``Formulas and theorems for the special functions of mathematical physics''

Debrabant, Kristian; Jakobsen, Espen R.
Semi-Lagrangian schemes for linear and fully non-linear diffusion equations

Delgado, M.; Farran, J. I.; Garcia-Sanchez, P. A.; Llena, D.
On the generalized Feng-Rao numbers of numerical semigroups generated by intervals

Dembele, Lassina
On the computation of algebraic modular forms on compact inner forms of GSp$_4$

Demlow, Alan; Larsson, Stig
Local pointwise a posteriori gradient error bounds for the Stokes equations

Dick, A.; Koch, O.; Marz, R.; Weinmuller, E.
Convergence of collocation schemes for nonlinear index 1 DAEs with a Ssngular point

Dutkay, Dorin Ervin; Jorgensen, Palle E. T.
Fourier duality for fractal measures with affine scales

Dutkay, Dorin Ervin; Jorgensen, Palle E. T.
Spectral measures and Cuntz algebras

Dziuk, Gerhard; Elliott, Charles M.
$L^2$-estimates for the evolving surface finite element method

Eymard, R.; Gallouet, T.; Herbin, R.; Linke, Alexander
Finite volume schemes for the biharmonic problem on general meshes

Farashahi, Reza R.; Fouque, Pierre-Alain; Tibouchi, Mehdi; Shparlinski, Igor E.; Voloch, J. Felipe
Indifferentiable deterministic hashing to elliptic and hyperelliptic curves

Feng, Xiaobing; Xing, Yulong
Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number

Fisher, Benji; Hayes, David R.
``The 2-divisibility of $h_p^+$''

Fisher, T. A.; Sills, G. F.
Local solubility and height bounds for coverings of elliptic curves

Galbraith, Steven D.; Pollard, John M.; Ruprai, Raminder S.
Computing discrete logarithms in an interval

Gao, Hao; Zhao, Hongkai
Analysis of a numerical solver for radiative transport equation

Gibson, Donald Jason
Table supplement to ``A covering system with least modulus 25''

Gittelson, Claude Jeffrey
An adaptive stochastic Galerkin method for random elliptic operators

Gnewuch, Michael
Infinite-dimensional integration on weighted Hilbert spaces

Gong, Wei
Error estimates for finite element approximation of parabolic equations involving measure data in space

Griebel, Michael; Harbrecht, Helmut
On the construction of sparse tensor product spaces

Griebel, Michael; Kuo, Frances Y.; Sloan, Ian Hugh
The smoothing effect of integration in $\mathbb{R}^d$ and the ANOVA decomposition

Guermond, Jean-Luc; Minev, Peter D.; Salgado, Abner J.
Convergence analysis of a class of massively parallel direction splitting algorithms for the Navier-Stokes equations

Guitart, Xavier; Masdeu, Marc
Computing continued fractions on real quadratic fields

Guzman, J.; Leykekhman, D.
Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra

Hajdu, L.; Saradha, N.
Disproof of a conjecture of Jacobsthal

Hakberg, Bengt
A discrete KPP-theory for Fishers equation

Han, Bin; Zhuang, Xiaosheng
Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields

Han, Houde; Huang, Zhongyi
Tailored finite point method based on exponential bases for convection-diffusion-reaction equation

Hare, Kevin G.; Panju, Maysum
Some comments on Garsia numbers

Hiptmair, Ralf; Moiola, Andrea; Perugia, Ilaria
Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations

Hirn, Adrian
Finite element approximation of singular power-law systems

Holden, Helge; Lubich, Christian; Risebro, Nils Henrik
Operator splitting for partial differential equations with Burgers nonlinearity

Holden, Helge; Karlsen, Kenneth H.; Karper, Trygve
Operator splitting for two-dimensional incompressible fluid equations

Iliescu, Traian; Wang, Zhu
Variational multiscale proper orthogonal decomposition: Convection-dominated convection-diffusion equations

Ingram, Ross Nicholas
A new linearly extrapolated Crank-Nicolson time-stepping scheme for the NSE

Ionica, Sorina; Joux, Antoine
Pairing the volcano

Jager, H.
A metrical result on the approximation by continued fractions

Jeannerod, Claude-Pierre; Louvet, Nicolas; Muller, Jean-Michel
Further analysis of Kahan's algorithm for the accurate computation of 2 x 2 determinants

Jiang, Shidong; Liang, Zhi; Huang, Jingfang
A fast algorithm for Brownian dynamics simulation with hydrodynamic interactions

Jin, Qinian
Further convergence results on the general iteratively regularized Gauss-Newton methods under the discrepancy principle

Jin, Shi; Liu, Jian-Guo; Wang, Li
A domain decomposition method for semilinear hyperbolic systems with two-scale relaxations

Ji, Liangyue; Xu, Yan; Ryan, Jennifer K.
Accuracy-enhancement of discontinuous Galerkin solutions for convection-diffusion equations in multiple-dimensions

Kaltenbacher, Barbara; Offtermatt, Jonas
A convergence analysis of regularization by discretization in preimage space

Karabina, Koray
Squaring in cyclotomic subgroups

Koumandos, Stamatis; Lamprecht, Martin
Complete monotonicity and related properties of some special functions

Krylov, N. V.
Interior estimates for second differences for finite-difference elliptic Bellman's equations

Lelievre, Tony; Rousset, Mathias; Stoltz, Gabriel
Langevin dynamics with constraints and computation of free energy differences

Lipman, Y.; Puente, J.; Daubechies, I.
Conformal Wasserstein distance. II: Computational aspects and extensions

Liu, Hailiang; Runborg, Olof; Tanushev, Nicolay M.
Error estimates for Gaussian beam superpositions

Liu, Xiaoji; Wu, Shuxia; Cvetkovic-Ilic, Dragana S.
New results on reverse order law for {1,2,3} and {1,2,4}-inverses of bounded operators

Liu, Youming; Zhao, Junjian
An extension of Bittner and Urban's theorem

Li, Yonghai; Shu, Shi; Xu, Yuesheng; Zou, Qingsong
Multilevel preconditioning for the finite volume method

Lu, Shuai; Mathe, Peter
Heuristic parameter selection based on functional minimization: Optimality and model function approach

Magnus, W.; Oberhettinger, F.; Soni, R. P.; Szmytkowski, Radoslaw
Erratum to ``Formulas and theorems for the special functions of mathematical physics''

Makarov, V. L.; Dragunov, D. V.; Klimenko, Ya. V.
The FD-method for solving Sturm-Liouville problems with special singular differential operator

Martinhao, A. N.; Monte Carmelo, E. L.
Short covering code arising from matchings in weighted graphs

Melquiond, Guillaume; Nowak, W. Georg; Zimmermann, Paul
Numerical approximation of The Masser-Gramain constant to four decimal digits: $\delta= 1.819...$

Miller, Robert L.; Stoll, Michael
Explicit isogeny descent on elliptic curves

Mishra, S.; Schwab, Ch.
Sparse tensor multi-level Monte Carlo finite volume methods for hyperbolic conservation laws with random initial data

Molchanov, Vladimir; Oliver, Marcel
Convergence of the Hamiltonian particle-mesh method for barotropic fluid flow

Naughton, L.; Pfeiffer, G.
Computing the table of marks of a cyclic extension

Nielsen, Johan Sejr Brinch; Simonsen, Jakob Grue
An experimental investigation of the normality of irrational algebraic numbers

Romero, Ana; Rubio, Julio
Homotopy groups of suspended classifying spaces: An experimental approach

Rozenhart, Pieter; Jacobson, Michael, Jr.; Scheidler, Renate
Tabulation of cubic function fields via polynomial binary cubic forms

Ryan, Nathan C.; Skoruppa, Nils-Peter; Stromberg, Fredrik
Numerical computation of a certain Dirichlet series attached to Siegel modular forms of degree two

Sfakianakis, Nikolaos
Adaptive mesh reconstruction for hyperbolic conservation laws with total variation bound

Shibuta, Takafumi
Irreducibility criterion for algebroid curves

Sidi, Avram
Euler-Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities

Sneed, Jason
Lead changes in the prime number race

Spalevic, Miodrag M.
Error bounds of Gaussian quadrature formulae for one class of Bernstein-Szeg\H o weights

Stein, William; Wuthrich, Christian
Algorithms for the arithmetic of elliptic curves using Iwasawa theory

Trevino, Enrique
The least inert prime in a real quadratic field

Wang, Ming; Xu, Jinchao
Minimal finite element spaces for $2m$-th-order partial differential equations in $R^n$

Watanabe, Yoshitaka; Kinoshita, Takehiko; Nakao, Mitsuhiro T
A posteriori estimates of inverse operators for boundary value problems in linear elliptic partial differential equations

Wendland, Holger
A high-order approximation method for semilinear parabolic equations on spheres

Xie, Ziqing; Wang, Li-Lian; Zhao, Xiaodan
On exponential convergence of Gegenbauer interpolation and spectral differentiation

Xue, Jungong; Ye, Qiang
Computing exponentials of essentially non-negative matrices entrywise to high relative accuracy

Yadav, Sangita; Pani, Amiya K.; Park, Eun-Jae
Superconvergent discontinuous Galerkin methods for nonlinear elliptic equations

Yang, Junfeng; Yuan, Xiaoming
Linearized augmented Lagrangian and alternating direction methods for nuclear norm minimization

Yao, Xudong
A minimax method for finding saddle critical points of upper semi-differentiable locally Lipschitz continuous functional in Hilbert space and its convergence

Zhang, Yong; Cai, Tianxin
$n$-tuples of positve integers with the same sum and the same product

Zhang, Yong; Dong, Bin; Lu, Zhaosong
$\ell_0$ minimization for wavelet frame based image restoration




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