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Papers accepted for publication
in Mathematics of Computation which have not yet been published
Papers are displayed alphabetically by first author listed.
Abdulle, Assyr; Vilmart, Gilles
Analysis of the finite element heterogeneous multiscale method for quasilinear elliptic homogenization problems
Aholt, Chris; Oeding, Luke
The ideal of the trifocal variety
Aistleitner, Christoph; Hofer, Markus
Probabilistic discrepancy bounds for Monte Carlo point sets
Alford, W.; Grantham, Jon; Hayman, Steven; Shallue, Andrew
Constructing Carmichael numbers through improved subset-product algorithms
Arnold, Douglas; Awanou, Gerard
Finite element differential forms on cubical meshes
Aston, Philip; Junge, Oliver
Computing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basis
Ayuso de Dios, Blanca; Holst, Michael; Zhu, Yunrong; Zikatanov, Ludmil
Multilevel preconditioners for discontinuous Galerkin approximations of elliptic problems with jump coefficients
Bailey, David; Borwein, Jonathan; Crandall, Richard
Computation and theory of extended Mordell-Tornheim-Witten sums
Bank, Bernd; Giusti, Marc; Heintz, Joos
Point searching in real singular complete intersection varieties: Algorithms of intrinsic complexity
Bao, Gang; Chow, Shui-Nee; Li, Peijun; Zhou, Haomin
An inverse random source problem for the Helmholtz equation
Belabas, Karim; Friedman, Eduardo
Computing the residue of the Dedekind zeta function
Biasse, Jean-François
An $L(1/3)$ algorithm for ideal class group and regulator computation in certain number fields
Bonito, Andrea; Guermond, Jean-Luc; Popov, Bojan
Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations
Bouharguane, Afaf; Carles, Rémi
Splitting methods for the nonlocal Fowler equation
Brauchart, J.; Saff, E.; Sloan, I.; Womersley, R.
QMC designs: Optimal order quasi Monte Carlo integration schemes on the sphere
Briquel, Irénée; Cucker, Felipe; Peña, Javier; Roshchina, Vera
Fast computation of zeros of polynomial systems with bounded degree under finite-precision
Bröker, Reinier; Lauter, Kristin
Evaluating Igusa functions
Cancès, Clément; Pop, Iuliu; Vohralík, Martin
An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
Canuto, C.; Nochetto, R.; Verani, M.
Adaptive Fourier-Galerkin methods
Cao, Yanzhao; Gunzburger, Max; He, Xiaoming; Wang, Xiaoming
Parallel non-iterative multi-physics domain decomposition methods for the time-dependent Stokes-Darcy model
Carstensen, Carsten; Gedicke, Joscha
Guaranteed lower bounds for eigenvalues
Castryck, Wouter; Laterveer, Robert; Ounaïes, Myriam
Constraints on counterexamples to the Casas-Alvero conjecture, and a verification in degree 12
Causley, Matthew; Christlieb, Andrew; Ong, Benjamin; Van Groningen, Gerard
Method of lines transpose: An implicit solution to the one dimensional wave equation
Celledoni, E.; Owren, B.; Sun, Y.
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method
Chen, Jie; Wang, Desheng; Du, Qiang
Linear finite element superconvergence on simplicial meshes
Chui, Charles; Mhaskar, H.
Smooth function extension based on high dimensional unstructured data
Cockburn, Bernardo; Qiu, Weifeng
Commuting diagrams for the TNT elements on cubes
Cockburn, Bernardo; Quenneville-Bélair, Vincent
Uniform-in-time superconvergence of the HDG methods for the acoustic wave equation
Cockburn, Julio Bernardo; Qiu, Weifeng; Solano, Manuel
A priori error analysis for HDG methods using extensions from subdomains to achieve boundary-conformity
Cockburn, Julio Bernardo; Sayas, Francisco-Javier
Divergence-conforming HDG methods for Stokes flows
Cockburn, Julio Bernardo; Zhang, Wujun
An a posteriori error estimate for the variable-degree Raviart-Thomas method
Coffey, Mark
Series representation of the Riemann zeta function and other results: Complements to a paper of Crandall
Corwin, David; Feng, Tony; Li, Zane; Trebat-Leder, Sarah
Elliptic curves with full 2-torsion and maximal adelic Galois representations
Costa, Edgar; Gerbicz, Robert; Harvey, David
A search for Wilson primes
Creutz, Brendan
Second $p$-descents on elliptic curves
Cuntz, Michael; Stump, Christian
On root posets for noncrystallographic root systems
Davydov, O.; Prasiswa, J.; Reif, U.
Two-stage approximation methods with extended B-splines
Da, Xu
Uniform $l^{1} $ convergence in the Crank-Nicolson method of a linear integro-differential equation for viscoelastic rods and plates
De Bonis, M.; Mastroianni, G.
Numerical treatment of a class of systems of Fredholm integral equations on the real line
de Graaf, Willem; Oriente, Francesco
Classifying semisimple orbits of $\theta $-groups
Dembélé, Lassina
On the computation of algebraic modular forms on compact inner forms of GSp$_4$
Derenthal, Ulrich; Elsenhans, Andreas-Stephan; Jahnel, Jörg
On the factor alpha in Peyre’s constant
Dieulefait, Luis; Freitas, Nuno
The Fermat-type equations $x^5+y^5 = 2z^p$ or $3z^p$ solved through $\mathbb {Q}$-curves
Dittmer, Samuel
Spoof odd perfect numbers
Doliskani, Javad; Schost, Éric
Taking roots over high extensions of finite fields
Dong, Bo; Yu, Bo; Yu, Yan
A symmetric homotopy and hybrid polynomial system solving method for mixed trigonometric polynomial systems
Duan, Huoyuan
A finite element method for Reissner-Mindlin plates
Falk, Richard; Winther, Ragnar
Local bounded cochain projections
Fan, Jinyan
Accelerating the modified Levenberg-Marquardt method for nonlinear equations
Fayed, Hatem; Atiya, Amir
An evaluation of the integral of the product of the error function and the normal probability density with application to the bivariate normal integral
Fisher, Benji; Hayes, David
“The 2-divisibility of $h_p^+$”
Ford, Kevin; Luca, Florian; Moree, Pieter
Values of the Euler $\phi $-function not divisible by a given odd prime, and the distribution of Euler-Kronecker constants for cyclotomic fields
Gaspoz, Fernando; Morin, Pedro
Approximation classes for adaptive higher order finite element approximation
Giesselmann, Jan; Makridakis, Charalambos; Pryer, Tristan
Energy consistent DG methods for the Navier-Stokes-Korteweg system
Gomez, Domingo; Gutierrez, Jaime
Recovering zeroes of polynomials modulo a prime
Gopalakrishnan, J.; Qiu, W.
An analysis of the practical DPG method
Greaves, Gary
Small-span Hermitian matrices over quadratic integer rings
Griewank, Andreas; Lehmann, Lutz; Leovey, Hernan; Zilberman, Marat
Automatic evaluations of cross-derivatives
Gudi, Thirupathi; Porwal, Kamana
A posteriori error control of discontinuous Galerkin methods for elliptic obstacle problems
Guzman, Johnny; Neilan, Michael
Conforming and divergence-free Stokes elements on general triangular meshes
Gómez-Pérez, Domingo; Ostafe, Alina; Shparlinski, Igor
Algebraic entropy, automorphisms and sparsity of algebraic dynamical systems and pseudorandom number generators
Haanpää, Harri; Östergård, Patric
Counting Hamiltonian cycles in bipartite graphs
Hajdu, Lajos; Ziegler, Volker
Distinct unit generated totally complex quartic fields
Han, Deren; Yuan, Xiaoming; Zhang, Wenxing
An augmented-Lagrangian-based parallel splitting method for separable convex minimization with applications to image processing
Harada, Masaaki; Miezaki, Tsuyoshi
On the existence of extremal type II $\mathbb {Z}_{2k}$-codes
Harvey, David
A subquadratic algorithm for computing the $n$-th Bernoulli number
Hovhannisyan, Nune; Müller, Siegfried; Scháfer, Roland
Adaptive multiresolution discontinuous Galerkin schemes for conservation laws
Huang, Xiaowei; Wu, Chuansheng; Zhou, Jun
Numerical differentiation by integration
Hu, Jingwei; Ying, Lexing
A fast algorithm for the energy space boson Boltzmann collision operator
Jespers, Eric; del Río, Ángel; Van Gelder, Inneke
Writing units of integral group rings of finite abelian groups as a product of Bass units
Jiang, Ying; Xu, Yuesheng
Fast computation of the multidimensional discrete Fourier transform and discrete backward Fourier transform on sparse grids
Jiang, Yupeng; Deng, Yingpu
Strong pseudoprimes to the first eight prime bases
Ji, Liangyue; van Slingerland, Paulien; Ryan, Jennifer; Vuik, Kees
Superconvergent error estimates for position-dependent smoothness-increasing accuracy-conserving (SIAC) post-processing of discontinuous Galerkin solutions
Jorgenson, Jay; Smajlović, Lejla; Then, Holger
On the distribution of eigenvalues of Maass forms on certain moonshine groups
Kalla, C.; Klein, C.
Computation of the topological type of a real Riemann surface
Kamenski, Lennard; Huang, Weizhang; Xu, Hongguo
Conditioning of finite element equations with arbitrary anisotropic meshes
Karlsen, K.; Risebro, N.; Storrøsten, E.
$L^1$ error estimates for difference approximations of degenerate convection-diffusion equations
Katsoulakis, Markos; Plecháĉ, Petr; Rey-Bellet, Luc; Tsagkarogiannis, Dimitrios
Coarse-graining schemes for stochastic lattice systems with short and long-range interactions
Kim, Minkyu; Cheon, Jung Hee
Computing prime divisors in an interval
Kim, Minkyu; Cheon, Jung Hee; Lee, In-Sok
Analysis on a generalized algorithm for the strong discrete logarithm problem with auxiliary inputs
Kohatsu-Higa, Arturo; Ortiz-Latorre, Salvador; Tankov, Peter
Optimal simulation schemes for Lévy driven stochastic differential equations
Kontogeorgis, Aristides
Constructing class invariants
Kopteva, Natalia
Linear finite elements may be only first-order pointwise accurate on anisotropic triangulations
Kovács, Mihály; Printems, Jacques
Strong order of convergence of a fully discrete approximation of a linear stochastic Volterra type evolution equation
Kritzer, Peter; Pillichshammer, Friedrich; Woźniakowski, Henryk
Multivariate integration of infinitely many times differentiable functions in weighted Korobov spaces
Lezowski, Pierre
Computation of the Euclidean minimum of algebraic number fields
Ling, San; Ozdemir, Enver; Xing, Chaoping
A relation between embedding degrees and class numbers of binary quadratic forms
Ling, San; Shparlinski, Igor; Wang, Huaxiong
On the multidimensional distribution of the Naor-Reingold pseudo-random function
Lin, Qun; Xie, Hehu
A multi-level correction scheme for Eigenvalue problems
Lin, Qun; Xie, Hehu; Xu, Jinchao
Lower bounds of the discretization error for piecewise polynomials
Loy, R.; Anderssen, R.
On the construction of Dirichlet series approximations for completely monotone functions
Mahé, Valéry
Prime power terms in elliptic divisibility sequences
Matsumoto, Makoto; Saito, Mutsuo; Matoba, Kyle
A computable figure of merit for quasi-Monte Carlo point sets
Meštrović, Romeo
A search for primes $p$ such that Euler number $E_{p-3}$ is divisible by $p$
Milovanović, Gradimir; Spalević, Miodrag
Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients
Moore, Dennis; Nagel, Uwe
Algorithms for strongly stable ideals
Mourrain, Bernard
On the dimension of spline spaces on planar T-meshes
Müller, Jan
Computing canonical heights using arithmetic intersection theory
Nart, Enric
Local computation of differents and discriminants
Nebe, Gabriele; Parker, Richard
On extremal even unimodular 72-dimensional lattices.
Ochem, Pascal; Rao, Michaël
On the number of prime factors of an odd perfect number
Oliveira e Silva, Tomás; Herzog, Siegfried; Pardi, Silvio
Empirical verification of the even Goldbach conjecture, and computation of prime gaps, up to $4\cdot 10^{18}$
Pacetti, Ariel; Sirolli, Nicolás
Computing ideal classes representatives in quaternion algebras
Pan, Shaohua; Kum, Sangho; Lim, Yongdo; Chen, Jein-Shan
On the generalized Fischer-Burmeister merit function for the second-order cone complementarity problem
Peterseim, D.
Composite finite elements for elliptic interface problems
Pitoun, Frédéric; Varescon, Firmin
Computing the torsion of the $p$-ramified module of a number field
Pomerance, Carl; Yang, Hee-Sung
Variant of a theorem of Erdős on the sum-of-proper-divisors function
Rand, Alexander; Gillette, Andrew; Bajaj, Chandrajit
Quadratic serendipity finite elements on polygons using generalized barycentric coordinates
Rodríguez, Rodolfo; Venegas, Pablo
Numerical approximation of the spectrum of the curl operator
Rubinstein-Salzedo, Simon
Period computations for covers of elliptic curves
Sadek, Mohammad
On elliptic curves whose conductor is a product of two prime powers
Sadiq, Burhan; Viswanath, Divakar
Finite difference weights, spectral differentiation, and superconvergence
Saouter, Yannick; Riele, Herman
Improved results on the Mertens conjecture
Sawa, Masanori; Xu, Yuan
On positive cubature rules on the simplex and isometric embeddings
Schenck, Hal; Seceleanu, Alexandra; Validashti, Javid
Syzygies and singularities of tensor product surfaces of bidegree (2,1)
Schicho, Josef; Sevilla, David
Tschirnhaus-Weierstrass curves
Sneed, Jason
Lead changes in the prime number race
Sokolowsky, Benjamin; VanHooft, Amy; Volkert, Rachael; Reiter, Clifford
An infinite family of perfect parallelepipeds
Streng, Marco
Computing Igusa class polynomials
Stynes, Martin
Sharp anisotropic interpolation error estimates for rectangular Raviart-Thomas elements
Tao, Terence
Every odd number greater than 1 is the sum of at most five primes
Theobald, Thorsten; de Wolff, Timo
Approximating amoebas and coamoebas by sums of squares
Ulas, Maciej
On some Diophantine systems involving symmetric polynomials
Urban, Karsten; Patera, Anthony
An improved error bound for reduced basis approximation of linear parabolic problems
Vabishchevich, Petr
Additive schemes (splitting schemes) for some systems of evolutionary equations
Velichka, M.; Jacobson, M., Jr.; Stein, A.
Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields
Verdier, Olivier
Reductions of operator pencils
Wang, Haiyong; Huybrechs, Daan; Vandewalle, Stefan
Explicit barycentric weights for polynomial interpolation in the roots or extrema of classical orthogonial polynomials
Wasilkowski, G.
Average case tractability of approximating $\infty $-variate functions
Xu, Zhengfu
Parametrized maximum principle preserving flux limiters for high order schemes solving hyperbolic conservation laws: one-dimensional scalar problem
Zhang, Lei-Hong; Yang, Wei Hong
A fast and efficient algorithm for second-order cone linear complementarity problems
Zhang, Peng; Gao, Yuxiang; Fierson, Janet; Deng, Yuefan
Eigenanalysis-based task mapping on parallel computers with cellular networks
Zhang, Zhenxiang
Estimating the counts of Carmichael and Williams numbers with small multiple seeds
Zhu, Huiqing; Zhang, Zhimin
Uniform convergence of the LDG method for a singularly perturbed problem with the exponential boundary layer
Zieve, Michael
A remark on the paper “$N$-tuples of positive integers with the same sum and the same product” by Zhang and Cai
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