Mathematics of Computation

Article	Citations
Convergence analysis of Laguerre approximations for analytic functions	44
Constructing abelian extensions with prescribed norms	42
Explicit interval estimates for prime numbers	28
How to reconstruct a planar map from its branching curve	24
Towards dynamical low-rank approximation for neutrino kinetic equations. Part I: Analysis of an idealized relaxation model	22
A classification of ECM-friendly families of elliptic curves using modular curves	20
Computing ????-adic L-functions of totally real fields	20
Function integration, reconstruction and approximation using rank-$1$ lattices	20
Algorithms for computing the permutation resemblance of functions over finite groups	19
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm	18
An algorithm for identifying eigenvectors exhibiting strong spatial localization	16
Generalized Gearhart-Koshy acceleration for the Kaczmarz method	16
Explicit bounds for products of primes in AP	15
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	15
Functional graphs of families of quadratic polynomials	14
On an extended Filon method for highly oscillatory integrals over a simplex	14
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	14
Randomizing the trapezoidal rule gives the optimal RMSE rate in Gaussian Sobolev spaces	13
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	13
Dual linear programming bounds for sphere packing via modular forms	13
Corrigendum to “On two classes of simultaneous Pell equations with no solutions”	13
On the computation of general vector-valued modular forms	13
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Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	12
A highly accurate boundary integral method for the elastic obstacle scattering problem	11

Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	11
Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems	11
ℎ????-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	11
Recovery of Sobolev functions restricted to iid sampling	11
Embedded desingularization for arithmetic surfaces – toward a parallel implementation	11
Computing eigenvalues of the Laplacian on rough domains	10
The reciprocal sums of pseudoprimes and Carmichael numbers	10
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems	10
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	10
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	10
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	10
Dynamics of quadratic polynomials and rational points on a curve of genus 4	9
Computing the spectral gap of a family of matrices	9
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	8
GMRES, pseudospectra, and Crouzeix’s conjecture for shifted and scaled Ginibre matrices	8
Convergence of the numerical approximations and well-posedness: Nonlocal conservation laws with rough flux	8
CM points, class numbers, and the Mahler measures of ????³+????³+1-????????????	8
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	8
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	8
Convergence analysis of the Halpern iteration with adaptive anchoring parameters	7
Tropical Laurent series, their tropical roots, and localization results for the eigenvalues of nonlinear matrix functions	7
Accurate estimation of sums over zeros of the Riemann zeta-function	7
A classification of genus 0 modular curves with rational points	7
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	7
Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids	7
Convergence of Langevin-simulated annealing algorithms with multiplicative noise	7
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	7
Sampling-based methods for multi-block optimization problems over transport polytopes	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
Optimal transportation for electrical impedance tomography	6
Stability in phase retrieval: Characterizing condition numbers and the optimal vector set	6
Jacobi-type algorithms for homogeneous polynomial optimization on Stiefel manifolds with applications to tensor approximations	6
Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations	6
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	6
Extensible grid sampling for quantile estimation	6
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	6
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	6
Error estimates at low regularity of splitting schemes for NLS	6
Periodic representations for quadratic irrationals in the field of ????-adic numbers	6
Stable broken ????(????????????????) polynomial extensions and ????-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	6
On eigenvalue gaps of integer matrices	6
Effective bounds for Huber’s constant and Faltings’s delta function	6
The interior penalty virtual element method for the biharmonic problem	6
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	6
Explicit calculations for Sono’s multidimensional sieve of ????₂-numbers	6
Isotropic non-Lipschitz regularization for sparse representations of random fields on the sphere	5
Computation of a 30750-bit binary field discrete logarithm	5
Coupler curves of moving graphs and counting realizations of rigid graphs	5
Convergence proof for the GenCol algorithm in the case of two-marginal optimal transport	5
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	5

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Expected decrease for derivative-free algorithms using random subspaces	5
A Ramanujan integral and its derivatives: computation and analysis	5
A weighted randomized Kaczmarz method for solving linear systems	5
A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation	5
ℚ-Curves, Hecke characters and some Diophantine equations	5
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier–Stokes equations	5
On the construction of multiresolution analyses associated to general subdivision schemes	5
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	5
On the enumeration of finite ????-algebras	5
Multiplicity of nontrivial zeros of primitive ????-functions via higher-level correlations	5
Computing ????-polynomials of Picard curves from Cartier–Manin matrices	5
	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	4
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	4
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy	4
Stabilized leapfrog based local time-stepping method for the wave equation	4
Computing error bounds for asymptotic expansions of regular P-recursive sequences	4
Six-dimensional sphere packing and linear programming	4
Locally unitarily invariantizable NEPv and convergence analysis of SCF	4
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	4
Interpolation operator on negative Sobolev spaces	4
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	4
Positivity of the determinants of the partition function and the overpartition function	4
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	4
A fast proximal gradient method and convergence analysis for dynamic mean field planning	4
Modular curves with infinitely many quartic points	4
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems	4
Abel Maps for nodal curves via tropical geometry	4
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	4
A unified framework of SAGE and SONC polynomials and its duality theory	4
Orientable hyperbolic 4-manifolds over the 120-cell	4
Explicit Tamagawa numbers for certain algebraic tori over number fields	4
On median filters for motion by mean curvature	4
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The Weierstrass–Durand–Kerner root finder is not generally convergent	4
Iterative solution of spatial network models by subspace decomposition	4
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Effective homology and periods of complex projective hypersurfaces	4
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	4
Avoiding squares over words with lists of size three amongst four symbols	4
Splitting integrators for stochastic Lie–Poisson systems	4
Sketched and truncated polynomial Krylov subspace methods: Matrix Sylvester equations	3
An efficient algorithm for the ℓ_{????} norm based metric nearness problem	3
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity	3
Mixed methods and lower eigenvalue bounds	3
Inf-sup stability implies quasi-orthogonality	3
On the reconstruction of functions from values at subsampled quadrature points	3
Complexity analysis of inexact cubic-regularized primal-dual methods for finding second-order stationary points	3
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	3
Time discretizations of Wasserstein–Hamiltonian flows	3
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves	3
The perfect groups of order up to two million	3
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	3
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility	3
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem	3
A manifold of planar triangular meshes with complete Riemannian metric	3
Gaussian quadrature rules for composite highly oscillatory integrals	3
A rank-two relaxed parallel splitting version of the augmented Lagrangian method with step size in (0,2) for separable convex programming	3
Sparse Cholesky factorization for solving nonlinear PDEs via Gaussian processes	3
	3
Counting zeros of Dirichlet $L$-functions	3
Error estimates for a class of continuous Bonse-type inequalities	3
Sparse trace tests	3
Low-rank quaternion tensor completion for color video inpainting via a novel factorization strategy	3
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	3
A finite element elasticity complex in three dimensions	3
Explicit and efficient error estimation for convex minimization problems	3
Certified dimension reduction in nonlinear Bayesian inverse problems	3
Isogenies on Kummer Surfaces	3
Filtered Lie-Trotter splitting for the “good” Boussinesq equation: Low regularity error estimates	3
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Convergence acceleration of ensemble Kalman inversion in nonlinear settings	3
Anti-Gaussian quadrature formulae of Chebyshev type	3
Quinary forms and paramodular forms	2
How well-conditioned can the eigenvector problem be?	2
Construction of polynomial preserving cochain extensions by blending	2
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	2

Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	2
A construction of a ????-Poisson generic sequence	2
Modified-operator method for the calculation of band diagrams of crystalline materials	2
A monotone numerical flux for quasilinear convection diffusion equation	2
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	2
Existence of dynamical low-rank approximations to parabolic problems	2
An extended Galerkin analysis in finite element exterior calculus	2
Hensel lifting algorithms for quadratic forms	2
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	2
Stochastic gradient descent for linear inverse problems in Hilbert spaces	2
Equations of tensor eigenschemes	2
Second order monotone finite differences discretization of linear anisotropic differential operators	2
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	2
A uniformly accurate numerical method for a class of dissipative systems	2
Cellular approximations to the diagonal map	2
A posteriori error estimates for the Richards equation	2
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Uniform preconditioners for high order finite element approximations of planar linear elasticity	2
Corrigendum to ‘Explicit interval estimates for prime numbers’	2
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Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	2
An approach for computing generators of class fields of imaginary quadratic number fields using the Schwarzian derivative	2
Spanning the isogeny class of a power of an elliptic curve	2
Littlewood polynomials, spectral-null codes, and equipowerful partitions	2
The smallest 5-chromatic tournament	2
Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity	2
On the ????-adic zeros of the Tribonacci sequence	2
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On the ????-analogue of the Pair Correlation Conjecture via Fourier optimization	2
Convergence analysis of some tent-based schemes for linear hyperbolic systems	2
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Robust a posteriori estimates for the stochastic Cahn-Hilliard equation	2
Approximating viscosity solutions of the Euler system	1
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	1
Minimization of hypersurfaces	1
Algorithms for fusion systems with applications to ????-groups of small order	1
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	1
Density convergence of a fully discrete finite difference method for stochastic Cahn–Hilliard equation	1
Computing quadratic points on modular curves ????₀(????)	1
Superelliptic curves with many automorphisms and CM Jacobians	1
Counting zeros of Dedekind zeta functions	1
Linear rates of asymptotic regularity for Halpern-type iterations	1
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	1
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations	1
Why large time-stepping methods for the Cahn-Hilliard equation is stable	1
Hybridization and postprocessing in finite element exterior calculus	1
Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem	1
On the seeds and the great-grandchildren of a numerical semigroup	1
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	1
A new class of entropy stable schemes for hyperbolic systems: Finite element methods	1
A range characterization of the single-quadrant ADRT	1
On symmetric-conjugate composition methods in the numerical integration of differential equations	1
Distribution of recursive matrix pseudorandom number generator modulo prime powers	1
Toric eigenvalue methods for solving sparse polynomial systems	1
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	1
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	1
Influence of sampling on the convergence rates of greedy algorithms for parameter-dependent random variables	1
Multilevel decompositions and norms for negative order Sobolev spaces	1
Congruences of elliptic curves arising from nonsurjective mod ???? Galois representations	1
Tri-linear birational maps in dimension three	1
Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity	1
Computing equilibrium measures with power law kernels	1
Local and global phaseless sampling in real spline spaces	1
Concurrent lines on del Pezzo surfaces of degree one	1
Bielliptic quotient modular curves of ????₀(????)	1
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	1
Explicit Vologodsky integration for hyperelliptic curves	1
Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators	1
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions	1
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	1
Convergence of the boundary integral method for interfacial Stokes flow	1
New lower bounds for the Schur-Siegel-Smyth trace problem	1
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes	1
Enumeration of set-theoretic solutions to the Yang–Baxter equation	1
Faster truncated integer multiplication	1
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Two-scale methods for convex envelopes	1
Regularity and numerical approximation of fractional elliptic differential equations on compact metric graphs	1
Totally positive algebraic integers with small trace	1
Equiangular lines in Euclidean spaces: Dimensions 17 and 18	1
Superconvergence of time invariants for the Gross–Pitaevskii equation	1
Full discretization error analysis of exponential integrators for semilinear wave equations	1
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	1
The minimality of the Georges–Kelmans graph	1
On bounds for Kummer’s function ratio	1
The equilateral small octagon of maximal width	1
Quadratic points on bielliptic modular curves	1
On the computation of lattice sums without translational invariance	1
Enumeration of left braces with additive group ????₄×????₄×????₄	1
Divisibility conditions on the order of the reductions of algebraic numbers	1
Crouzeix-Raviart triangular elements are inf-sup stable	1
Learning particle swarming models from data with Gaussian processes	1
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Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth	1
Analysis of finite element methods for surface vector-Laplace eigenproblems	1