Mathematics of Computation

Article	Citations
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	76
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	45
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	31
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	26
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	25
Functional graphs of families of quadratic polynomials	22
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	22
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	22
Sampling-based methods for multi-block optimization problems over transport polytopes	21
Broken-FEEC discretizations and Hodge Laplace problems	19
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	17
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	17
Time discretizations of Wasserstein–Hamiltonian flows	16
Certified dimension reduction in nonlinear Bayesian inverse problems	16
An extended Galerkin analysis in finite element exterior calculus	15
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	15
Learning particle swarming models from data with Gaussian processes	14
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	13
Error estimates for a class of continuous Bonse-type inequalities	12
Towards a classification of isolated ????-invariants	11
On bounds for Kummer’s function ratio	11
Hensel lifting algorithms for quadratic forms	11
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	10
Full discretization error analysis of exponential integrators for semilinear wave equations	10
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	10

Superconvergence of time invariants for the Gross–Pitaevskii equation	10
Divisibility conditions on the order of the reductions of algebraic numbers	10
On the computation of lattice sums without translational invariance	9
Hybridization and postprocessing in finite element exterior calculus	9
Quadratic points on bielliptic modular curves	9
A census of cubic fourfolds over ????₂	9
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
The minimality of the Georges–Kelmans graph	9
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	8
	8
A posteriori error analysis for approximations of time-fractional subdiffusion problems	8
Multiscale scattering in nonlinear Kerr-type media	8
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	8
The sharpness condition for constructing a finite element from a superspline	8
A log-log speedup for exponent one-fifth deterministic integer factorisation	8
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	8
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	7
The Diophantine problem in Thompson’s group ????	7
An algorithmic approach to Rupert’s problem	7
Refined Selmer equations for the thrice-punctured line in depth two	7
Gradient descent for convex and smooth noisy optimization	7
Gonality of the modular curve ????₀(????)	7
On the computation of modular forms on noncongruence subgroups	7
Tropical tangents for complete intersection curves	7
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	7
QQMR: A structure preserving quaternion quasi-minimal residual method	7
	7
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	7
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
The reciprocal sums of pseudoprimes and Carmichael numbers	6
Breaking the 4 barrier for the bound of a generating set of the class group	6
An approximation theory framework for measure-transport sampling algorithms	6
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
Optimizing the diffusion coefficient of overdamped Langevin dynamics	6
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	6
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	6
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	6
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	6
Shadow line distributions	6
The interior penalty virtual element method for the biharmonic problem	6
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
Salem numbers with minimal trace	6
A Newton’s iteration converges quadratically to nonisolated solutions too	6
Extensible grid sampling for quantile estimation	6
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
Gaussian quadrature rules for composite highly oscillatory integrals	5
Expected decrease for derivative-free algorithms using random subspaces	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5

Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Mixed methods and lower eigenvalue bounds	5
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	5
Recovery of Sobolev functions restricted to iid sampling	5
	5
Enumeration of left braces with additive group ????₄×????₄×????₄	5
Minimization of hypersurfaces	5
Toric eigenvalue methods for solving sparse polynomial systems	5
Locally unitarily invariantizable NEPv and convergence analysis of SCF	5
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	5
Explicit Tamagawa numbers for certain algebraic tori over number fields	5
A Ramanujan integral and its derivatives: computation and analysis	5
Quinary forms and paramodular forms	5
On the existence of abelian surfaces with everywhere good reduction	5
	5
A randomized lattice rule without component-by-component construction	5
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	4
An explicit formula for the extended Gross-Keating datum of a quadratic form	4
Faster truncated integer multiplication	4
	4
A kit for linear forms in three logarithms	4
Minimization of differential equations and algebraic values of ????-functions	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	4
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
Computing equilibrium measures with power law kernels	4
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
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Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
Finite element de Rham and Stokes complexes in three dimensions	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
The Adini finite element on locally refined meshes	4
Explicit Vologodsky integration for hyperelliptic curves	4
Convergence of the boundary integral method for interfacial Stokes flow	4
	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
Norm one Tori and Hasse norm principle	4
On invariable generation of alternating groups by elements of prime and prime power order	4
A manifold of planar triangular meshes with complete Riemannian metric	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	3
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ^{????}	3
A sharp discrepancy bound for jittered sampling	3
Stochastic nested primal-dual method for nonconvex constrained composition optimization	3
A new algorithm for ????-adic continued fractions	3
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
On median filters for motion by mean curvature	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
On the sign changes of ????(????)-????	3
Time domain boundary integral equations and convolution quadrature for scattering by composite media	3
A convex dual problem for the rational minimax approximation and Lawson’s iteration	3
A local discontinuous Galerkin method for the Novikov equation	3
Improved computation of fundamental domains for arithmetic Fuchsian groups	3
Adaptive Morley FEM for 2D stationary Navier-Stokes	3
Multiscale estimates for the condition number of non-harmonic Fourier matrices	3
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	3
	3
Convergence analysis of Laguerre approximations for analytic functions	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
Computing ????-adic L-functions of totally real fields	3
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	3
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	3
An algorithm to recognize regular singular Mahler systems	3
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	3
A short basis of the Stickelberger ideal of a cyclotomic field	3
Few hamiltonian cycles in graphs with one or two vertex degrees	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
Iterative solution of spatial network models by subspace decomposition	3
Approximating viscosity solutions of the Euler system	2
The Weierstrass–Durand–Kerner root finder is not generally convergent	2
Polynomial approximation of symmetric functions	2

	2
Adaptive fast multiplication of ℋ²-matrices	2
Algorithms for fundamental invariants and equivariants of finite groups	2
Bielliptic quotient modular curves of ????₀(????)	2
Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems	2
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation	2
Using aromas to search for preserved measures and integrals in Kahan’s method	2
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	2
Uniqueness and stability for the solution of a nonlinear least squares problem	2
Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	2
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	2
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	2
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation	2
Six-dimensional sphere packing and linear programming	2
Minimality and uniqueness for decompositions of specific ternary forms	2
Splitting integrators for stochastic Lie–Poisson systems	2
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	2
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	2
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	2
On Darmon’s program for the generalized Fermat equation, II	2
On Iwasawa ????-invariants for abelian number fields and random matrix heuristics	2
A uniformly accurate numerical method for a class of dissipative systems	2
A unified differential equation solver approach for separable convex optimization: Splitting, acceleration and nonergodic rate	2
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	2
Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation	2
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	2
Counterexamples to the ????(????)-adic Littlewood conjecture over small finite fields	2
	2
A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model	2
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	2
New lower bounds for the Schur-Siegel-Smyth trace problem	2
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	2
A least-squares augmented Lagrangian virtual element method for Reissner-Mindlin plates	2
	2
The classification and representations of positive definite ternary quadratic forms of level 4????	2
Asymptotic repetitive threshold of balanced sequences	2
The smallest 5-chromatic tournament	2
Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model	2
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	2
Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM	2
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	2
Stochastic gradient descent for linear inverse problems in Hilbert spaces	2
A Prolog assisted search for new simple Lie algebras	2
On time uniform Wong-Zakai approximation theorems	2
Delay-dependent elliptic reconstruction and optimal ????^{∞}(????²) a posteriori error estimates for fully discrete delay parabolic problems	2
Effective homology and periods of complex projective hypersurfaces	2
Piecewise rational rotation-minimizing motions via data stream interpolation	2
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	2
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices	2
Inf-sup stability implies quasi-orthogonality	2
Sharp estimates for the Möbius function with coprimality restrictions	2
Congruences of elliptic curves arising from nonsurjective mod ???? Galois representations	1
Spanning the isogeny class of a power of an elliptic curve	1
Power detection over number fields	1
Sparse trace tests	1
Efficient computation of Wiener-Hopf factorization of Markov-modulated Brownian motion	1
Equiangular lines in Euclidean spaces: Dimensions 17 and 18	1
Large-scale Monte Carlo simulations for zeros in character tables of symmetric groups	1
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Machine learning of continuous and discrete variational ODEs with convergence guarantee and uncertainty quantification	1
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Convergence of a stabilized parametric finite element method of the Barrett–Garcke–Nürnberg type for curve shortening flow	1
Computing error bounds for asymptotic expansions of regular P-recursive sequences	1
A fast proximal gradient method and convergence analysis for dynamic mean field planning	1
Explicit and efficient error estimation for convex minimization problems	1
Low regularity estimates of the Lie-Trotter time-splitting Fourier spectral method for the logarithmic Schrödinger equation	1
Influence of sampling on the convergence rates of greedy algorithms for parameter-dependent random variables	1
Construction of polynomial preserving cochain extensions by blending	1
Density convergence of a fully discrete finite difference method for stochastic Cahn–Hilliard equation	1
An algebraic framework for geometrically continuous splines	1
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	1
Toward optimal exponent pairs	1
Computing linear relations between polynomial roots	1
Computation of the least primitive root	1
Pointwise error estimates and local superconvergence of Jacobi expansions	1
A conforming finite element method for a nonisothermal fluid-membrane interaction	1
Chebyshev varieties	1
Complexity analysis of inexact cubic-regularized primal-dual methods for finding second-order stationary points	1
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	1
Schinzel-type bounds for the Mahler measure on lemniscates	1
Sparse Cholesky factorization for solving nonlinear PDEs via Gaussian processes	1
Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators	1
	1
Polynomial preserving recovery for the finite volume element methods under simplex meshes	1
Periodic minimum in the count of binomial coefficients not divisible by a prime	1
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions	1
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	1
Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems	1
	1
A strong order 1.5 boundary preserving discretization scheme for scalar SDEs defined in a domain	1
Exact sequences on Worsey–Farin splits	1
Schertz style class invariants for higher degree CM fields	1
Positivity of the determinants of the partition function and the overpartition function	1
Towards dynamical low-rank approximation for neutrino kinetic equations. Part I: Analysis of an idealized relaxation model	1
A finite element elasticity complex in three dimensions	1