Mathematics of Computation

Article	Citations
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	62
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	51
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	38
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	28
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	28
Sampling-based methods for multi-block optimization problems over transport polytopes	26
Accurate estimation of sums over zeros of the Riemann zeta-function	23
Functional graphs of families of quadratic polynomials	22
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	22
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	21
Broken-FEEC discretizations and Hodge Laplace problems	21
Certified dimension reduction in nonlinear Bayesian inverse problems	19
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	19
Stabilized leapfrog based local time-stepping method for the wave equation	18
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	18
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	17
Second order monotone finite differences discretization of linear anisotropic differential operators	16
Time discretizations of Wasserstein–Hamiltonian flows	16
An extended Galerkin analysis in finite element exterior calculus	15
On bounds for Kummer’s function ratio	15
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	14
Error estimates for a class of continuous Bonse-type inequalities	14
Learning particle swarming models from data with Gaussian processes	14
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	14
Hensel lifting algorithms for quadratic forms	14

The minimality of the Georges–Kelmans graph	13
Full discretization error analysis of exponential integrators for semilinear wave equations	13
Towards a classification of isolated ????-invariants	13
Divisibility conditions on the order of the reductions of algebraic numbers	12
Counting zeros of Dedekind zeta functions	12
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
Quadratic points on bielliptic modular curves	11
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	11
Hybridization and postprocessing in finite element exterior calculus	10
On the computation of lattice sums without translational invariance	10
A census of cubic fourfolds over ????₂	10
Analysis of the shifted boundary method for the Poisson problem in domains with corners	9
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
Superconvergence of time invariants for the Gross–Pitaevskii equation	9
Multiscale scattering in nonlinear Kerr-type media	8
QQMR: A structure preserving quaternion quasi-minimal residual method	8
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	8
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Error estimates for discrete generalized FEMs with locally optimal spectral approximations	8
A log-log speedup for exponent one-fifth deterministic integer factorisation	7
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	7
Superconvergence of the Strang splitting when using the Crank-Nicolson scheme for parabolic PDEs with Dirichlet and oblique boundary conditions	7
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	7
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On the computation of modular forms on noncongruence subgroups	7
Gonality of the modular curve ????₀(????)	7
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	7
Rate optimality of adaptive finite element methods with respect to overall computational costs	7
A posteriori error analysis for approximations of time-fractional subdiffusion problems	7
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	6
Salem numbers with minimal trace	6
Refined Selmer equations for the thrice-punctured line in depth two	6
Recovery of Sobolev functions restricted to iid sampling	6
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
The interior penalty virtual element method for the biharmonic problem	6
Tropical tangents for complete intersection curves	6
A Newton’s iteration converges quadratically to nonisolated solutions too	6
Extensible grid sampling for quantile estimation	6
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	6
The reciprocal sums of pseudoprimes and Carmichael numbers	6
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	6
An approximation theory framework for measure-transport sampling algorithms	6
An algorithmic approach to Rupert’s problem	6
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	6
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	6
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
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Expected decrease for derivative-free algorithms using random subspaces	5
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	5
Minimization of hypersurfaces	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5
Mixed methods and lower eigenvalue bounds	5
Gaussian quadrature rules for composite highly oscillatory integrals	5
Multilevel decompositions and norms for negative order Sobolev spaces	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
Toric eigenvalue methods for solving sparse polynomial systems	5
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Explicit Tamagawa numbers for certain algebraic tori over number fields	5
A Ramanujan integral and its derivatives: computation and analysis	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
Locally unitarily invariantizable NEPv and convergence analysis of SCF	5
A randomized lattice rule without component-by-component construction	5
Quinary forms and paramodular forms	5
Virtual element methods for Biot–Kirchhoff poroelasticity	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Computing equilibrium measures with power law kernels	4
On the existence of abelian surfaces with everywhere good reduction	4
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Explicit Vologodsky integration for hyperelliptic curves	4
A kit for linear forms in three logarithms	4
Minimization of differential equations and algebraic values of ????-functions	4
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Convergence of the boundary integral method for interfacial Stokes flow	4
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Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
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On invariable generation of alternating groups by elements of prime and prime power order	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
An explicit formula for the extended Gross-Keating datum of a quadratic form	4
Faster truncated integer multiplication	4
Enumeration of left braces with additive group ????₄×????₄×????₄	4
Norm one Tori and Hasse norm principle	3
A convex dual problem for the rational minimax approximation and Lawson’s iteration	3
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
Convergence analysis of Laguerre approximations for analytic functions	3
Computing ????-adic L-functions of totally real fields	3
Finite element de Rham and Stokes complexes in three dimensions	3
A sharp discrepancy bound for jittered sampling	3
Time domain boundary integral equations and convolution quadrature for scattering by composite media	3
A short basis of the Stickelberger ideal of a cyclotomic field	3
A new algorithm for ????-adic continued fractions	3
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	3
Iterative solution of spatial network models by subspace decomposition	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
Multiscale estimates for the condition number of non-harmonic Fourier matrices	3
Improved computation of fundamental domains for arithmetic Fuchsian groups	3
Adaptive Morley FEM for 2D stationary Navier-Stokes	3
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	3
An algorithm to recognize regular singular Mahler systems	3
A local discontinuous Galerkin method for the Novikov equation	3
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On the sign changes of ????(????)-????	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	3
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	3
Stochastic nested primal-dual method for nonconvex constrained composition optimization	3
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	3
Few hamiltonian cycles in graphs with one or two vertex degrees	3
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ^{????}	3
A weighted randomized Kaczmarz method for solving linear systems	2
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	2
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	2
Polynomial approximation of symmetric functions	2

Inf-sup stability implies quasi-orthogonality	2
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Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model	2
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	2
Bielliptic quotient modular curves of ????₀(????)	2
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	2
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Splitting integrators for stochastic Lie–Poisson systems	2
The Weierstrass–Durand–Kerner root finder is not generally convergent	2
Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	2
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation	2
Six-dimensional sphere packing and linear programming	2
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	2
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	2
Asymptotic repetitive threshold of balanced sequences	2
Effective homology and periods of complex projective hypersurfaces	2
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	2
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	2
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	2
A unified differential equation solver approach for separable convex optimization: Splitting, acceleration and nonergodic rate	2
Stochastic gradient descent for linear inverse problems in Hilbert spaces	2
Computing ????-polynomials of Picard curves from Cartier–Manin matrices	2
A uniformly accurate numerical method for a class of dissipative systems	2
The smallest 5-chromatic tournament	2
Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM	2
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	2
Approximating viscosity solutions of the Euler system	2
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	2
An exponent one-fifth algorithm for deterministic integer factorisation	2
A manifold of planar triangular meshes with complete Riemannian metric	2
Adaptive fast multiplication of ℋ²-matrices	2
On median filters for motion by mean curvature	2
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	2
Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems	2
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	2
Low regularity estimates of the Lie-Trotter time-splitting Fourier spectral method for the logarithmic Schrödinger equation	1
Convergence proof for the GenCol algorithm in the case of two-marginal optimal transport	1
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	1
Finite element/holomorphic operator function method for the transmission eigenvalue problem	1
On Darmon’s program for the generalized Fermat equation, II	1
A fast proximal gradient method and convergence analysis for dynamic mean field planning	1
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices	1
On the enumeration of finite ????-algebras	1
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation	1
Computation of a 30750-bit binary field discrete logarithm	1
A Prolog assisted search for new simple Lie algebras	1
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Algebra and geometry of camera resectioning	1
On eigenvalue gaps of integer matrices	1
Fully discretized Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem	1
On the computation of general vector-valued modular forms	1
Modular curves with infinitely many quartic points	1
How to reconstruct a planar map from its branching curve	1
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy	1
ℎ????-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	1
Complexity analysis of inexact cubic-regularized primal-dual methods for finding second-order stationary points	1
Explicit and efficient error estimation for convex minimization problems	1
Multiplicity of nontrivial zeros of primitive ????-functions via higher-level correlations	1
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation	1
A least-squares augmented Lagrangian virtual element method for Reissner-Mindlin plates	1
Toward optimal exponent pairs	1
New lower bounds for the Schur-Siegel-Smyth trace problem	1
Sparse Cholesky factorization for solving nonlinear PDEs via Gaussian processes	1
Minimality and uniqueness for decompositions of specific ternary forms	1
Corrigendum to “On two classes of simultaneous Pell equations with no solutions”	1
Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation	1
GMRES, pseudospectra, and Crouzeix’s conjecture for shifted and scaled Ginibre matrices	1
Algorithms for fundamental invariants and equivariants of finite groups	1
Stable broken ????(????????????????) polynomial extensions and ????-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	1
Explicit bounds for products of primes in AP	1
Dual linear programming bounds for sphere packing via modular forms	1
A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation	1
Stability in phase retrieval: Characterizing condition numbers and the optimal vector set	1
A simple equilibration procedure leading to polynomial-degree-robust a posteriori error estimators for the curl-curl problem	1
A variational front-tracking method for multiphase flow with triple junctions	1
A finite element elasticity complex in three dimensions	1
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	1
A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model	1
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	1
Computing error bounds for asymptotic expansions of regular P-recursive sequences	1
On Iwasawa ????-invariants for abelian number fields and random matrix heuristics	1
Positivity of the determinants of the partition function and the overpartition function	1
A first-order Fourier integrator for the nonlinear Schrödinger equation on ???? without loss of regularity	1
Explicit calculations for Sono’s multidimensional sieve of ????₂-numbers	1
Uniqueness and stability for the solution of a nonlinear least squares problem	1
A classification of ECM-friendly families of elliptic curves using modular curves	1
Using aromas to search for preserved measures and integrals in Kahan’s method	1
Computing eigenvalues of the Laplacian on rough domains	1
Delay-dependent elliptic reconstruction and optimal ????^{∞}(????²) a posteriori error estimates for fully discrete delay parabolic problems	1
Constructing abelian extensions with prescribed norms	1
Explicit interval estimates for prime numbers	1
Computing the spectrum and pseudospectrum of infinite-volume operators from local patches	1
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Towards dynamical low-rank approximation for neutrino kinetic equations. Part I: Analysis of an idealized relaxation model	1