Mathematics of Computation

Article	Citations
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	80
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	46
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	32
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	30
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	25
Functional graphs of families of quadratic polynomials	24
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	24
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	22
Sampling-based methods for multi-block optimization problems over transport polytopes	22
Broken-FEEC discretizations and Hodge Laplace problems	19
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	18
Certified dimension reduction in nonlinear Bayesian inverse problems	17
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	17
An extended Galerkin analysis in finite element exterior calculus	16
Time discretizations of Wasserstein–Hamiltonian flows	16
Error estimates for a class of continuous Bonse-type inequalities	15
Learning particle swarming models from data with Gaussian processes	15
Towards a classification of isolated ????-invariants	13
Full discretization error analysis of exponential integrators for semilinear wave equations	11
Hensel lifting algorithms for quadratic forms	11
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	11
On bounds for Kummer’s function ratio	11
Scaled lattice rules for integration on ℝ^{????} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	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
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	9
On the computation of lattice sums without translational invariance	9
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	9
Hybridization and postprocessing in finite element exterior calculus	9
Quadratic points on bielliptic modular curves	9
The minimality of the Georges–Kelmans graph	9
The sharpness condition for constructing a finite element from a superspline	9
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
A census of cubic fourfolds over ????₂	9
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	9
A posteriori error analysis for approximations of time-fractional subdiffusion problems	9
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	8
Gradient descent for convex and smooth noisy optimization	8
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	8
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	8
A log-log speedup for exponent one-fifth deterministic integer factorisation	8
The Diophantine problem in Thompson’s group ????	8
Gonality of the modular curve ????₀(????)	7
	7
Tropical tangents for complete intersection curves	7
Breaking the 4 barrier for the bound of a generating set of the class group	7
QQMR: A structure preserving quaternion quasi-minimal residual method	7
On the computation of modular forms on noncongruence subgroups	7
An algorithmic approach to Rupert’s problem	7
Refined Selmer equations for the thrice-punctured line in depth two	7
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	7
Multiscale scattering in nonlinear Kerr-type media	7
Salem numbers with minimal trace	7
Recovery of Sobolev functions restricted to iid sampling	6
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	6
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	6
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	6
The interior penalty virtual element method for the biharmonic problem	6
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	6
Explicit Tamagawa numbers for certain algebraic tori over number fields	6
A Newton’s iteration converges quadratically to nonisolated solutions too	6
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	6
An algorithm for identifying eigenvectors exhibiting strong spatial localization	6
The reciprocal sums of pseudoprimes and Carmichael numbers	6
Optimizing the diffusion coefficient of overdamped Langevin dynamics	6
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	6
An approximation theory framework for measure-transport sampling algorithms	6
Extensible grid sampling for quantile estimation	6
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
Shadow line distributions	6
Expected decrease for derivative-free algorithms using random subspaces	5
Linear rates of asymptotic regularity for Halpern-type iterations	5
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
	5

Enumeration of left braces with additive group ????₄×????₄×????₄	5
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	5
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	5
Gaussian quadrature rules for composite highly oscillatory integrals	5
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	5
Mixed methods and lower eigenvalue bounds	5
A randomized lattice rule without component-by-component construction	5
Faster truncated integer multiplication	5
Uniform preconditioners for high order finite element approximations of planar linear elasticity	5
	5
A Ramanujan integral and its derivatives: computation and analysis	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
Quinary forms and paramodular forms	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Toric eigenvalue methods for solving sparse polynomial systems	5
	5
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	5
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	5
Minimization of hypersurfaces	5
Locally unitarily invariantizable NEPv and convergence analysis of SCF	5
On the existence of abelian surfaces with everywhere good reduction	5
Few hamiltonian cycles in graphs with one or two vertex degrees	4
An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	4
	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
A kit for linear forms in three logarithms	4
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	4
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	4
	4
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	4
Adaptive Morley FEM for 2D stationary Navier-Stokes	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
Minimization of differential equations and algebraic values of ????-functions	4
	4
Computing equilibrium measures with power law kernels	4
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	4
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
On invariable generation of alternating groups by elements of prime and prime power order	4
A short basis of the Stickelberger ideal of a cyclotomic field	4
Finite element de Rham and Stokes complexes in three dimensions	4
Explicit Vologodsky integration for hyperelliptic curves	4
The Adini finite element on locally refined meshes	4
Convergence of the boundary integral method for interfacial Stokes flow	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
A sharp discrepancy bound for jittered sampling	3
Equivalence between Sobolev spaces of first-order dominating mixed smoothness and unanchored ANOVA spaces on ℝ^{????}	3
A manifold of planar triangular meshes with complete Riemannian metric	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
An algorithm to recognize regular singular Mahler systems	3
Norm one Tori and Hasse norm principle	3
Optimal convergence of a fully decoupled finite difference scheme of the Abels–Garcke–Grün model for incompressible two-phase flows with unmatched densities	3
Stochastic nested primal-dual method for nonconvex constrained composition optimization	3
A new algorithm for ????-adic continued fractions	3
Computing ????-adic L-functions of totally real fields	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
Thermodynamically consistent and positivity-preserving discretization of the thin-film equation with thermal noise	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3
On the sign changes of ????(????)-????	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
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	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
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
On median filters for motion by mean curvature	3
The classification and representations of positive definite ternary quadratic forms of level 4????	3
On an extended Filon method for highly oscillatory integrals over a simplex	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
Time domain boundary integral equations and convolution quadrature for scattering by composite media	3
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	3
A local discontinuous Galerkin method for the Novikov equation	3
Improved computation of fundamental domains for arithmetic Fuchsian groups	3
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	2
Counterexamples to the ????(????)-adic Littlewood conjecture over small finite fields	2
Bielliptic quotient modular curves of ????₀(????)	2
Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model	2

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