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
On the sign changes of ????(????)-????	20
Computing ????-adic L-functions of totally real fields	20
Function integration, reconstruction and approximation using rank-$1$ lattices	19
Algorithms for computing the permutation resemblance of functions over finite groups	16
Generalized Gearhart-Koshy acceleration for the Kaczmarz method	15
An algorithm for identifying eigenvectors exhibiting strong spatial localization	15
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	14
Functional graphs of families of quadratic polynomials	14
Explicit bounds for products of primes in AP	14
Dual linear programming bounds for sphere packing via modular forms	13
On an extended Filon method for highly oscillatory integrals over a simplex	13
On the computation of general vector-valued modular forms	13
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	13
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	13
Tropical Laurent series, their tropical roots, and localization results for the eigenvalues of nonlinear matrix functions	12
Randomizing the trapezoidal rule gives the optimal RMSE rate in Gaussian Sobolev spaces	12
	11
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	11
Corrigendum to “On two classes of simultaneous Pell equations with no solutions”	11

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

Error analysis of second-order local time integration methods for discontinuous Galerkin discretizations of linear wave equations	5
Periodic representations for quadratic irrationals in the field of ????-adic numbers	5
A rank-two relaxed parallel splitting version of the augmented Lagrangian method with step size in (0,2) for separable convex programming	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5
Convergence proof for the GenCol algorithm in the case of two-marginal optimal transport	5
Computing the spectrum and pseudospectrum of infinite-volume operators from local patches	5
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	5
Unified analysis of the semidiscrete discontinuous Galerkin methods for 2-D hyperbolic equations on Cartesian meshes using ℙ^{????} elements: optimal error estimates and superconvergence	5
A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation	5
	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	4
Stabilized leapfrog based local time-stepping method for the wave equation	4
Sparse Cholesky factorization for solving nonlinear PDEs via Gaussian processes	4
Six-dimensional sphere packing and linear programming	4
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility	4
A Ramanujan integral and its derivatives: computation and analysis	4
A manifold of planar triangular meshes with complete Riemannian metric	4
A weighted randomized Kaczmarz method for solving linear systems	4
Certified dimension reduction in nonlinear Bayesian inverse problems	4
ℚ-Curves, Hecke characters and some Diophantine equations	4
Gaussian quadrature rules for composite highly oscillatory integrals	4
Complexity analysis of inexact cubic-regularized primal-dual methods for finding second-order stationary points	4
	4
Abel Maps for nodal curves via tropical geometry	4
Splitting integrators for stochastic Lie–Poisson systems	4
Coupler curves of moving graphs and counting realizations of rigid graphs	4
A finite element elasticity complex in three dimensions	4
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier–Stokes equations	4
The Weierstrass–Durand–Kerner root finder is not generally convergent	4
Iterative solution of spatial network models by subspace decomposition	4
Modular curves with infinitely many quartic points	4
Sketched and truncated polynomial Krylov subspace methods: Matrix Sylvester equations	4
Computation of a 30750-bit binary field discrete logarithm	4
	4
Mixed methods and lower eigenvalue bounds	4
On the enumeration of finite ????-algebras	4
Computing ????-polynomials of Picard curves from Cartier–Manin matrices	4
	4
On median filters for motion by mean curvature	3
Avoiding squares over words with lists of size three amongst four symbols	3
An efficient algorithm for the ℓ_{????} norm based metric nearness problem	3
Euler constants from primes in arithmetic progression	3
Explicit and efficient error estimation for convex minimization problems	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
On the reconstruction of functions from values at subsampled quadrature points	3
A fast proximal gradient method and convergence analysis for dynamic mean field planning	3
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy	3
Positivity of the determinants of the partition function and the overpartition function	3
Stability, convergence, and pressure-robustness of numerical schemes for incompressible flows with hybrid velocity and pressure	3
	3
Low-rank quaternion tensor completion for color video inpainting via a novel factorization strategy	3
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	3
Inf-sup stability implies quasi-orthogonality	3
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	3
On the construction of multiresolution analyses associated to general subdivision schemes	3
Explicit Tamagawa numbers for certain algebraic tori over number fields	3
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	3
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	3
Orientable hyperbolic 4-manifolds over the 120-cell	3
Interpolation operator on negative Sobolev spaces	3
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	3
Effective homology and periods of complex projective hypersurfaces	3
Bit complexity of polynomial GCD on sparse representation	3
Locally unitarily invariantizable NEPv and convergence analysis of SCF	3
Filtered Lie-Trotter splitting for the “good” Boussinesq equation: Low regularity error estimates	3
Multiplicity of nontrivial zeros of primitive ????-functions via higher-level correlations	3
Computing error bounds for asymptotic expansions of regular P-recursive sequences	3
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems	3
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	3
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	2
How well-conditioned can the eigenvector problem be?	2
Minimization of hypersurfaces	2
An extended Galerkin analysis in finite element exterior calculus	2
Robust a posteriori estimates for the stochastic Cahn-Hilliard equation	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
Uniform preconditioners for high order finite element approximations of planar linear elasticity	2
Time discretizations of Wasserstein–Hamiltonian flows	2
The perfect groups of order up to two million	2
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	2

Isogenies on Kummer Surfaces	2
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	2
Regularity and numerical approximation of fractional elliptic differential equations on compact metric graphs	2
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	2
	2
A uniformly accurate numerical method for a class of dissipative systems	2
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	2
The smallest 5-chromatic tournament	2
Construction of polynomial preserving cochain extensions by blending	2
	2
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	2
Anti-Gaussian quadrature formulae of Chebyshev type	2
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity	2
Error estimates for a class of continuous Bonse-type inequalities	2
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	2
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	2
Convergence analysis of some tent-based schemes for linear hyperbolic systems	2
	2
Learning particle swarming models from data with Gaussian processes	2
Equations of tensor eigenschemes	2
Second order monotone finite differences discretization of linear anisotropic differential operators	2
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves	2
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	2
Sparse trace tests	2
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem	2
Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity	1
Hybridization and postprocessing in finite element exterior calculus	1
Two-scale methods for convex envelopes	1
Linear rates of asymptotic regularity for Halpern-type iterations	1
Superelliptic curves with many automorphisms and CM Jacobians	1
The minimality of the Georges–Kelmans graph	1
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	1
Schinzel-type bounds for the Mahler measure on lemniscates	1
Toward optimal exponent pairs	1
Divisibility conditions on the order of the reductions of algebraic numbers	1
A construction of a ????-Poisson generic sequence	1
Approximating viscosity solutions of the Euler system	1
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	1
A randomized lattice rule without component-by-component construction	1
Existence of dynamical low-rank approximations to parabolic problems	1
A monotone numerical flux for quasilinear convection diffusion equation	1
Stability of structure-aware Taylor methods for tents	1
	1
Why large time-stepping methods for the Cahn-Hilliard equation is stable	1
On the ????-analogue of the Pair Correlation Conjecture via Fourier optimization	1
Enumeration of set-theoretic solutions to the Yang–Baxter equation	1
On the existence of abelian surfaces with everywhere good reduction	1
Equiangular lines in Euclidean spaces: Dimensions 17 and 18	1
Tri-linear birational maps in dimension three	1
Faster truncated integer multiplication	1
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	1
Concurrent lines on del Pezzo surfaces of degree one	1
Toric eigenvalue methods for solving sparse polynomial systems	1
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	1
On the seeds and the great-grandchildren of a numerical semigroup	1
Towards a classification of isolated ????-invariants	1
Convergence of the boundary integral method for interfacial Stokes flow	1
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	1
Explicit Vologodsky integration for hyperelliptic curves	1
Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity	1
Counting zeros of Dedekind zeta functions	1
Hensel lifting algorithms for quadratic forms	1
Stochastic gradient descent for linear inverse problems in Hilbert spaces	1
A unified differential equation solver approach for separable convex optimization: Splitting, acceleration and nonergodic rate	1
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation	1
Polynomial preserving recovery for the finite volume element methods under simplex meshes	1
On bounds for Kummer’s function ratio	1
Multilevel decompositions and norms for negative order Sobolev spaces	1
Bielliptic quotient modular curves of ????₀(????)	1
Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators	1
Analysis of the Taylor-Hood surface finite element method for the surface Stokes equation	1
On symmetric-conjugate composition methods in the numerical integration of differential equations	1
Full discretization error analysis of exponential integrators for semilinear wave equations	1
A new class of entropy stable schemes for hyperbolic systems: Finite element methods	1
Conforming discrete Gradgrad-complexes in three dimensions	1
Algorithms for fusion systems with applications to ????-groups of small order	1
Convergence of a stabilized parametric finite element method of the Barrett–Garcke–Nürnberg type for curve shortening flow	1
The equilateral small octagon of maximal width	1
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions	1
Local and global phaseless sampling in real spline spaces	1
Superconvergence of time invariants for the Gross–Pitaevskii equation	1
Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	1
Computing equilibrium measures with power law kernels	1
Quinary forms and paramodular forms	1
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth	1
Corrigendum to ‘Explicit interval estimates for prime numbers’	1
	1
A class of discontinuous Galerkin methods for nonlinear variational problems	1
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	1
On Iwasawa ????-invariants for abelian number fields and random matrix heuristics	1
Analysis of finite element methods for surface vector-Laplace eigenproblems	1
Quadratic points on bielliptic modular curves	1
	1
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations	1
Distribution of recursive matrix pseudorandom number generator modulo prime powers	1