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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.

Abatzoglou, Alexander; Silverberg, Alice; Sutherland, Andrew; Wong, Angela
A framework for deterministic primality proving using elliptic curves with complex multiplication

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

Andersson, Adam; Larsson, Stig
Weak convergence for a spatial approximation of the nonlinear stochastic heat equation

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

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

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
Projection-free approximation of geometrically constrained partial differential equations

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

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

Bertók, Csanád; Hajdu, Lajos
A Hasse-type principle for exponential diophantine equations and its applications

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

Bilarev, Todor; Aspenberg, Magnus; Schleicher, Dierk
On the speed of convergence of Newton’s method for complex polynomials

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

Blagouchine, Iaroslav
Two series expansions for the logarithm of the gamma function involving Stirling numbers and containing only rational coefficients for certain arguments related to $\pi ^1$

Boito, P.; Eidelman, Y.; Gemignani, L.
Implicit QR for companion-like pencils

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

Bostan, Alin; Chèze, Guillaume; Cluzeau, Thomas; Weil, Jacques-Arthur
Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields

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

Brenner, Susanne

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

Cancès, Clément; Guichard, Cindy
Convergence of a nonlinear entropy diminishing control volume finite element scheme for solving anisotropic degenerate parabolic equations

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 minimization problem

Chang-Tao, Sheng; Zhong-Qing, Wang
An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays

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

Chen, William; Wang, Larry; Xie, Gary
Finite differences of the logarithm of the partition function

Christiansen, Snorre; Rapetti, Francesca
On high order finite element spaces of differential forms

Cilleruelo, Javier; Luca, Florian; Pizarro, Amalia
Carmichael numbers in the sequence $(2^nk+1)_{n\geq 1}$

Cinkir, Zubeyir
Computation of polarized metrized graph invariants by using discrete Laplacian matrix

Cockburn, Julio Bernardo; Nochetto, Ricardo; Zhang, Wujun
Contraction property of adaptive hybridizable discontinuous Galerkin methods

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

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

De Villiers, Johan; Gavhi, Mpfareleni
Local interpolation with optimal polynomial exactness in refinement spaces

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

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

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

Dusart, Pierre
Estimates of $\psi ,\theta $ for large values of $x$ without Riemann hypothesis

Egan, Judith; Wanless, Ian
Enumeration of MOLS of small order

Fan, Zhitao; Ji, Hui; Shen, Zuowei
Dual Gramian analysis: Duality principle and unitary extension principle

Faustmann, Markus; Melenk, Jens; Praetorius, Dirk
Existence of $\mathcal {H}$-matrix approximants to the inverses of BEM matrices: The simple-layer operator

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

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

Gatica, Gabriel; Ruiz-Baier, Ricardo; Tierra, Giordano
A mixed finite element method for Darcy’s equations with pressure dependent porosity

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

Gobet, E.; Turkedjiev, P.
Linear regression MDP scheme for discrete backward stochastic differential equations under general conditions

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

Gopalakrishnan, J.; Li, F.; 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

Gracia, J.; O’Riordan, E.
Numerical approximation of solution derivatives of singularly perturbed parabolic problems of convection-diffusion type

Grenié, Loïc; Molteni, Giuseppe
Zeros of Dedekind zeta functions under GRH

Hausen, Jürgen; Keicher, Simon; Laface, Antonio
Computing Cox rings

Hejda, Tomáš; Pelantová, Edita
Spectral properties of cubic complex Pisot units

Hiary, Ghaith
An alternative to Riemann-Siegel type formulas

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

Hoang, N.
On node distributions for interpolation and spectral methods

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

Jeon, Daeyeol
Families of elliptic curves over cyclic cubic number fields with prescribed torsion

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

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

Kestler, Sebastian; Steih, Kristina; Urban, Karsten
An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations

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

Korobov, V.; Bugaevskaya, A.
Almost power sum systems

Krejić, Nataša; Martínez, J.
Inexact restoration approach for minimization with inexact evaluation of the objective function

Krumm, David
Computing points of bounded height in projective space over a number field

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

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

Lebowitz-Lockard, Noah; Pomerance, Carl
Generating random factored Gaussian integers, easily

Lecaros, Rodrigo; Zuazua, Enrique
Control of 2D scalar conservation laws in the presence of shocks

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

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

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

Melman, A.
On Pellet’s theorem for a class of lacunary polynomials

Meng, Xiong; Shu, Chi-Wang; Wu, Boying
Optimal error estimates for discontinuous Galerkin methods based on upwind-biased fluxes for linear hyperbolic equations

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

Moeller, Michael; Zhang, Xiaoqun
Fast sparse reconstruction: Greedy inverse scale space flows

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

Nelson, Paul
Evaluating modular forms on Shimura curves

Nguyen, Hoi
On a condition number of random polynomial systems

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, D.; Trudgian, T.
On the first sign change of $\theta (x)-x$

Ramaré, O.
An explicit density estimate for Dirichlet $L$-series

Raum, Martin
Computing genus 1 Jacobi forms

Rivin, Igor
How to pick a random integer matrix? (and other questions)

Ryan, Nathan; Tornaría, Gonzalo; Schmidt, Ralf
Formulas for central values of twisted spin L-functions attached to paramodular forms

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

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

Tuitman, Jan
Counting points on curves using a map to $P^1$

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

Zhang, Long; Xu, Kejian
The tame kernel of $\mathbb {Q}(\zeta _5)$ is trivial

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