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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

     

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

Papers are displayed alphabetically by first author listed.

Adler, James; Nistor, Victor
Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D

Akbary, Amir; Hambrook, Kyle
A variant of the Bombieri-Vinogradov theorem with explicit constants and applications

Akbary, Amir; Scholten, Keilan
Artin prime producing polynomials

Anghel, Catalina
The self-power map and collecting all residue classes

Antonopoulou, D.; Karali, G.; Plexousakis, M.; Zouraris, G.
Crank-Nicolson finite element discretizations for a two-dimensional linear Schrödinger-type equation posed in a noncylindrical domain

Argyros, I.; Hernández, M.; Hilout, S.; Romero, N.
Directional Chebyshev-type methods for solving equations

Bach, Eric; Shallue, Andrew
Counting composites with two strong liars

Bailey, D.; Borwein, J.
Computation and structure of character polylogarithms with applications to character Mordell-Tornheim-Witten sums

Bai, Shi; Brent, Richard; Thomé, Emmanuel
Root optimization of polynomials in the number field sieve

Balakrishnan, Jennifer; Çiperiani, Mirela; Stein, William
$p$-adic heights of Heegner points and $\Lambda $-adic regulators

Barbulescu, Razvan
Selecting polynomials for the function field sieve

Barekat, Farzin; Osher, Stanley
A time continuation based fast approximate algorithm for compressed sensing related optimization

Bartels, Sören; Nochetto, Ricardo; Salgado, Abner
A total variation diminishing interpolation operator and applications

Bartels, Sóren
Error control and adaptivity for a variational model problem defined on functions of bounded variation

Batenkov, Dmitry
Complete algebraic reconstruction of piecewise-smooth functions from Fourier data

Becher, Verónica; Heiber, Pablo; Slaman, Theodore
A computable absolutely normal Liouville number

Berthelin, Florent; Goudon, Thierry; Minjeaud, Sebastian
Kinetic schemes on staggered grids for barotropic Euler models: Entropy-stability analysis

Best, D.; Trudgian, T.
Linear relations of zeroes of the zeta-function

Bisson, Gaetan
Computing endomorphism rings of abelian varieties of dimension two

Bonito, Andrea; Devaud, Denis
Adaptive finite element methods for the Stokes problem with discontinuous viscosity

Bonito, Andrea; Pasciak, Joseph
Numerical approximation of fractional powers of elliptic operators

Bonnaillie-Noël, V.; Dambrine, M.; Hérau, F.; Vial, G.
Artificial conditions for the linear elasticity equations

Bouillard, Anne; Faou, Erwan; Zavidovique, Maxime
Fast weak-KAM integrators for separable Hamiltonian systems

Bourgain, Jean; Konyagin, Sergei; Shparlinski, Igor
Character sums and deterministic polynomial root finding in finite fields

Boutin, Benjamin; Coquel, Frédéric; LeFloch, Philippe
Coupling techniques for nonlinear hyperbolic equations. IV. Well-balanced schemes for Scalar multidimensional and multi-component laws

Boyer, F.; Krell, S.; Nabet, F.
Inf-sup stability of the discrete duality finite volume method for the 2D Stokes problem

Braun, Oliver; Coulangeon, Renaud
Perfect lattices over imaginary quadratic number fields

Brenner, Susanne
Frontispiece

Brenner, Susanne; Sung, Li-Yeng
Piecewise $H^1$ functions and vector fields associated with meshes generated by independent refinements

Brent, Richard; Johansson, Fredrik
A bound for the error term in the Brent-McMillan algorithm

Böhm, Janko; Decker, Wolfram; Fieker, Claus; Pfister, Gerhard
The use of bad primes in rational reconstruction

Büthe, Jan
A method for proving the completeness of a list of zeros of certain L-functions

Calvetti, Daniela; Somersalo, Erkki; Spies, Ruben
Variable order smoothness priors for ill-posed inverse problems

Cao, Waixiang; Zhang, Zhimin
Superconvergence of local discontinuous Galerkin method for one-dimensional linear parabolic equations

Carstensen, Carsten; Dolzmann, Georg
Convergence of adaptive finite element methods for a nonconvex double-well minimisation problem

Carstensen, Carsten; Gallistl, Dietmar; Schedensack, Mira
Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems

Chan, Wai Kiu; Icaza, María; Lauret, Emilio
On a generalized Hermite constant for imaginary quadratic number fields

Chen, Zhongying; Xu, Yuesheng; Zhang, Yuanyuan
A construction of higher-order finite volume methods

Chouly, Franz; Hild, Patrick; Renard, Yves
Symmetric and non-symmetric variants of Nitsche’s method for contact problems in elasticity: Theory and numerical experiments

Chung, Y.-M.; Jolly, M.
A unified approach to compute foliations, inertial manifolds, and tracking initial conditions

Cohen, Henri
Exact counting of $D_\ell $ number fields with given quadratic resolvent

Cohen, Stephen; Oliveira e Silva, Tomás; Trudgian, Tim
A proof of the conjecture of Cohen and Mullen on sums of primitive roots

Cosset, Romain; Robert, Damien
Computing $(\ell ,\ell )$-isogenies in polynomial time on Jacobians of genus $2$ curves

Costello, Fintan; Watts, Paul
An upper bound on Jacobsthal’s function

Cremona, J.; Fisher, T.; O’Neil, C.; Simon, D.; Stoll, M.
Explicit $n$-descent on elliptic curves III. Algorithms

Darmon, Henri; Daub, Michael; Lichtenstein, Sam; Rotger, Victor; Stein, William
Algorithms for Chow-Heegner points via iterated integrals

Deckelnick, Klaus; Katz, Jakob; Schieweck, Friedhelm
A $C^1$-finite element method for the Willmore flow of two-dimensional graphs

Demanet, Laurent; Zhang, Xiangxiong
Eventual linear convergence of the Douglas Rachford iteration for basis pursuit

Demaret, Laurent; Iske, Armin
Optimal $N$-term approximation by linear splines over anisotropic Delaunay triangulations

Di Pietro, Daniele; Lemaire, Simon
An extension of the Crouzeix-Raviart space to general meshes with application to quasi-incompressible linear elasticity and Stokes flow

Dieci, Luca; Pugliese, Alessandro
Hermitian matrices of three parameters: Perturbing coalescing eigenvalues and a numerical method

Doornik, Jurgen
Numerical evaluation of the Gauss hypergeometric function by power summations

Doyle, John; Krumm, David
Computing algebraic numbers of bounded height

Faber, Laura; Kadiri, Habiba
New bounds for $\psi (x)$

Fisher, Benji; Hayes, David
“The 2-divisibility of $h_p^+$”

Flammang, V.; Rhin, G.
On the absolute Mahler measure of polynomials having all zeros in a sector. III

Fort, Gersende; Jourdain, Benjamin; Kuhn, Estelle; Lelièvre, Tony; Stoltz, Gabriel
Convergence of the Wang-Landau algorithm

Franek, Peter; Ratschan, Stefan
Effective topological degree computation based on interval arithmetic

Gao, Shuhong; Volny, Frank, IV; Wang, Mingsheng
A new algorithm for computing Gröbner bases

Geck, Meinolf; Halls, Abbie
On the Kazhdan-Lusztig cells in type $E_8$

Georgoulis, Emmanuil; Virtanen, Juha
Adaptive discontinuous Galerkin approximations to fourth order parabolic problems

Goetz, Claus; Iske, Armin
Approximate solutions of generalized Riemann problems for nonlinear systems of hyperbolic conservation laws

Gopalakrishnan, J.; Li, F.-Y.; Nguyen, N.-C.; Peraire, J.
Spectral approximations by the HDG method

Gottlieb, Sigal; Grant, Zachary; Higgs, Daniel
Optimal explicit strong stability preserving Runge-Kutta methods with high linear order and optimal nonlinear order

Han, Bin
Algorithm for constructing symmetric dual framelet filter banks

Heuer, Norbert; Sayas, Francisco-Javier
Analysis of a non-symmetric coupling of interior penalty DG and BEM

He, Simai; Li, Zhening; Zhang, Shuzhong
Inhomogeneous polynomial optimization over a convex set: An approximation approach

Hiptmair, Ralf; Jerez-Hanckes, Carlos; Mao, Shipeng
Extension by zero in discrete trace spaces: Inverse estimates

Hu, Jun; Zhang, Shangyou
The minimal conforming $H^k$ finite element spaces on $R^n$ rectangular grids

Hu, Xiaozhe; Cheng, Xiaoliang
Corrigendum to “Acceleration of two-grid method for eigenvalue problems”

Ignat, L.; Pozo, A.; Zuazua, E.
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws

Jespers, E.; Juriaans, S.; Kiefer, A.; de Andrade e Silva, A.; Souza Filho, A.
From the Poincaré theorem to generators of the unit group of integral group rings of finite groups

Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Rundell, William
Variational formulation of problems involving fractional order differential operators

Karakasian, Ohannes; Makridakis, Charalambos
A posteriori error estimates for discontinuous Galerkin methods for the generalized Korteweg-de Vries equation

Kaski, Petteri; Ostergard, Patric; Popa, Alexandru
Enumeration of Steiner triple systems with subsystems

Koornwinder, Tom; Sauter, Stefan
The intersection of bivariate orthogonal polynomials on triangle patches

Kuznetsov, A.
Computing the truncated theta function via Mordell integral

La Scala, Roberto
Gröbner bases and gradings for partial difference ideals

Lai, Ming-Jun; Liu, Yang
A study on the largest and smallest $q$-singular values of random matrices

Lakkis, Omar; Makridakis, Charalambos; Pryer, Tristan
A comparison of duality and energy aposteriori estimates for $L_\infty (0,T;L_2(\Omega ))$ in parabolic problems

Lamzouri, Youness; Li, Xiannan; Soundararajan, Kannan
Conditional bounds for the least quadratic non-residue and related problems

Lescarret, Vincent; Zuazua, Enrique
Numerical approximation schemes for multi-dimensional wave equations in asymmetric spaces

Liu, Hailiang
Optimal error estimates of the direct discontinuous Galerkin method for convection-diffusion equations

Liu, Ji; Wright, Stephen
An accelerated randomized Kaczmarz algorithm

Li, Hengguang
Regularity and multigrid analysis for Laplace-type axisymmetric equations

Li, Jichun; Huang, Yunqing; Yang, Wei
Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks

Li, Zhilin
On convergence of the immersed boundary method for elliptic interface problems

Lopez-Fernandez, M.; Sauter, S.
Fast and stable contour integration for high order divided differences via elliptic functions

Lubich, Christian; Mansour, Dhia
Variational discretization of wave equations on evolving surfaces

Lui, Lok Ming; Gu, Xianfeng; Yau, Shing-Tung
Convergence of an iterative algorithm for Teichmüller maps via harmonic energy optimization

McNew, Nathan
On sets of integers which contain no three terms in geometric progression

Miller, John
Real cyclotomic fields of prime conductor and their class numbers

Morais, J.; Cação, I.
Quaternion Zernike spherical polynomials

Myasnikov, Alexei; Nikolaev, Andrey; Ushakov, Alexander
Knapsack problems in groups

Navas, Luis; Ruiz, Francisco; Varona, Juan
Some functional relations derived from the Lindelöf-Wirtinger expansion of the Lerch transcendent function

Neilan, Michael
Discrete and conforming smooth de Rham complexes in three dimensions

Nelson, Paul
Evaluating modular forms on Shimura curves

Nielsen, Pace
Odd perfect numbers, Diophantine equations, and upper bounds

Notaris, Sotirios
The error norm of Gauss-Radau quadrature formulae for Bernstein-Szegö weight functions

Okayama, Tomoaki; Matsuo, Takayasu; Sugihara, Masaaki
Theoretical analysis of Sinc-Nyström methods for Volterra integral equations

Page, Aurel
Computing arithmetic Kleinian groups

Pieltant, Julia; Randriam, Hugues
New uniform and asymptotic upper bounds on the tensor rank of multiplication in extensions of finite fields

Platt, David
Computing $\pi (x)$ analytically

Poor, Cris; Yuen, David
Paramodular cusp forms

Pérez-Díaz, S.; Sendra, J.; Villarino, C.
Computing the singularities of rational surfaces

Ramaré, Olivier
Explicit estimates on several summatory functions involving the Möbius function

Roblot, Xavier-François
Computing $p$-adic $L$-functions of totally real number fields

Saouter, Yannick; Trudgian, Timothy; Demichel, Patrick
A still sharper region where $\pi (x)-{\mathrm {li}}(x)$ is positive

Sauer, Martin; Stannat, Wilhelm
Lattice approximation for stochastic reaction diffusion equations with one-sided Lipschitz condition

Shen, Yun-Qiu; Ypma, Tjalling
Rank deficiencies and bifurcation into affine subspaces for separable parameterized equations

Sneed, Jason
Lead changes in the prime number race

Tian, WenYi; Zhou, Han; Deng, Weihua
A class of second order difference approximation for solving space fractional diffusion equations

Trudgian, T.
An improved upper bound for the error in the zero-counting formulae for Dirichlet $L$-functions and Dedekind zeta-functions

Xu, Yifeng; Zou, Jun
Convergence of an adaptive finite element method for distributed flux reconstruction

Yarman, Can; Flagg, Garret
Approximation of the integral representation of an analytic function with an arbitrary analytic kernel

Zeng, Jinxiang; Yin, Linsheng
On the computation of coefficients of modular forms: The reduction modulo $p$ approach

Zieve, Michael
A remark on the paper “$N$-tuples of positive integers with the same sum and the same product” by Zhang and Cai