Mathematics of Computation

Article	Citations
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows	61
On factoring and power divisor problems via rank-3 lattices and the second vector	42
Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians	32
Convergence, finiteness and periodicity of several new algorithms of ????-adic continued fractions	31
Sampling-based methods for multi-block optimization problems over transport polytopes	27
Functional graphs of families of quadratic polynomials	22
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	20
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	19
Super-polynomial accuracy of multidimensional randomized nets using the median-of-means	19
Reducing polynomial degree by one for inner-stage operators affects neither stability type nor accuracy order of the Runge–Kutta discontinuous Galerkin method	18
Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries	16
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	15
A hybrid iterative method based on MIONet for PDEs: Theory and numerical examples	15
Broken-FEEC discretizations and Hodge Laplace problems	15
Bohr sets generated by polynomials and Coppersmith’s method in many variables	14
Certified model order reduction for parametric Hermitian eigenproblems	14
Error estimates for a class of continuous Bonse-type inequalities	13
Numerical analysis for electromagnetic scattering with nonlinear boundary conditions	13
Hensel lifting algorithms for quadratic forms	13
Stability of high-order Scott-Vogelius elements for 2D non-Newtonian incompressible flow	12
Learning particle swarming models from data with Gaussian processes	12
De Bruijn sequences with minimum discrepancy	12
Towards a classification of isolated ????-invariants	12
Hybridization and postprocessing in finite element exterior calculus	12
Computing rough solutions of the stochastic nonlinear wave equation	12

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
Divisibility conditions on the order of the reductions of algebraic numbers	11
An arbitrary-order fully discrete Stokes complex on general polyhedral meshes	11
On the computation of lattice sums without translational invariance	10
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	10
A census of cubic fourfolds over ????₂	9
The sharpness condition for constructing a finite element from a superspline	9
The Diophantine problem in Thompson’s group ????	9
QQMR: A structure preserving quaternion quasi-minimal residual method	9
Bridging the gap: Symplecticity and low regularity in Runge–Kutta resonance-based schemes	9
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	9
Theory of shifts, shocks, and the intimate connections to ????²-type A posteriori error analysis of numerical schemes for hyperbolic problems	9
A variational approach to the analysis of the continuous space–time FEM for the wave equation	9
Quantum realization of the finite element method	9
Gradient descent for convex and smooth noisy optimization	9
Error estimates for discrete generalized FEMs with locally optimal spectral approximations	9
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	8
Finite element approximation for uniformly elliptic linear PDE of second order in nondivergence form	8
Algebraic norm and ????-class group capitulations in totally ramified cyclic ????-extensions	8
On the computation of modular forms on noncongruence subgroups	8
Near-optimal approximation methods for elliptic PDEs with lognormal coefficients	8
A note on the growth factor in Gaussian elimination for generalized Higham matrices	8
Breaking the 4 barrier for the bound of a generating set of the class group	8
Large-degree asymptotic expansions for the Jacobi and related functions	8
Gonality of the modular curve ????₀(????)	8
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	8
Refined Selmer equations for the thrice-punctured line in depth two	8
An approximation theory framework for measure-transport sampling algorithms	8
Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains	7
Uniform stability for local discontinuous Galerkin methods with implicit-explicit Runge-Kutta time discretizations for linear convection-diffusion equation	7
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	7
Shadow line distributions	7
A Newton’s iteration converges quadratically to nonisolated solutions too	7
A non-iterative domain decomposition time integrator for linear wave equations	7
Recovery of Sobolev functions restricted to iid sampling	7
Optimizing the diffusion coefficient of overdamped Langevin dynamics	7
Erratum to “The reciprocal sums of pseudoprimes and Carmichael numbers”	7
An algorithmic approach to Rupert’s problem	7
Tropical tangents for complete intersection curves	7
The pollution effect for FEM approximations of the Ginzburg–Landau equation	7
Extensible grid sampling for quantile estimation	7
An algorithm for identifying eigenvectors exhibiting strong spatial localization	7
The interior penalty virtual element method for the biharmonic problem	7
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	7
Salem numbers with minimal trace	7
The reciprocal sums of pseudoprimes and Carmichael numbers	7
Hadamard–Hitchcock decompositions: Identifiability and computation	7
On Galois inertial types of elliptic curves over ℚ_{????}	7
A Trefftz method with reconstruction of the normal derivative applied to elliptic equations	7

Sampling and homology via bottlenecks	6
Mixed methods and lower eigenvalue bounds	6
Linear rates of asymptotic regularity for Halpern-type iterations	6
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	6
A randomized lattice rule without component-by-component construction	6
Expected decrease for derivative-free algorithms using random subspaces	6
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	6
Convergence analysis of an adaptive nonconforming FEM for phase-field dependent topology optimization in Stokes flow	6
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: The two-dimensional case with layer-upwind flux	6
Locally unitarily invariantizable NEPv and convergence analysis of SCF	6
Robust error analysis of stabilized linear EMAC-ESAV finite element schemes for the incompressible Navier-Stokes equations	6
Cyclic sieving on permutations: An analysis of maps and statistics in the FindStat database	6
Minimization of hypersurfaces	6
Homomesies on permutations: An analysis of maps and statistics in the FindStat database	6
Toric eigenvalue methods for solving sparse polynomial systems	6
Gaussian quadrature rules for composite highly oscillatory integrals	6
A Ramanujan integral and its derivatives: computation and analysis	6
Coupling conditions for linear hyperbolic relaxation systems in two-scale problems	6
	6
Explicit Tamagawa numbers for certain algebraic tori over number fields	6
Uniform preconditioners for high order finite element approximations of planar linear elasticity	6
Fast numerical approximation of linear, second-order hyperbolic problems using model order reduction and the Laplace transform	6
Provable low-rank tensor-train approximations in the inverse of large-scale structured matrices	5
Unconditionally stable consistent splitting schemes for the Navier–Stokes equations with ????⁰ finite elements	5
Explicit Vologodsky integration for hyperelliptic curves	5
	5
	5
	5
Convergence of the boundary integral method for interfacial Stokes flow	5
	5
The Adini finite element on locally refined meshes	5
Faster truncated integer multiplication	5
Quinary forms and paramodular forms	5
Enumeration of left braces with additive group ????₄×????₄×????₄	5
Computations directly on the cuspidal cohomology of congruence subgroups of SL(3,ℤ)	5
Floquet–Bloch analysis of wave propagation with time-periodic coefficients	5
Computing equilibrium measures with power law kernels	5
Stochastic alternating structure-adapted proximal gradient descent method with variance reduction for nonconvex nonsmooth optimization	5
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	5
An explicit formula for the extended Gross-Keating datum of a quadratic form	5
A new algorithm for ????-adic continued fractions	4
Closed bounded rational framing motions	4
A convex dual problem for the rational minimax approximation and Lawson’s iteration	4
Error estimates of the time-splitting methods for the nonlinear Schrödinger equation with semi-smooth nonlinearity	4
Time domain boundary integral equations and convolution quadrature for scattering by composite media	4
Adaptive Morley FEM for 2D stationary Navier-Stokes	4
A unified structure-preserving parametric finite element method for anisotropic surface diffusion	4
On invariable generation of alternating groups by elements of prime and prime power order	4
A kit for linear forms in three logarithms	4
Finite element de Rham and Stokes complexes in three dimensions	4
From discrete to continuous: Monochromatic 3-term arithmetic progressions	4
Norm one Tori and Hasse norm principle	4
Stochastic nested primal-dual method for nonconvex constrained composition optimization	4
Multiscale estimates for the condition number of non-harmonic Fourier matrices	4
A local discontinuous Galerkin method for the Novikov equation	4
Improved computation of fundamental domains for arithmetic Fuchsian groups	4
Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes	4
Stochastic algorithms for self-consistent calculations of electronic structures	4
Optimal convergence of a fully decoupled finite difference scheme of the Abels–Garcke–Grün model for incompressible two-phase flows with unmatched densities	4
A Robin-Robin splitting method for the Stokes-Biot fluid-poroelastic structure interaction model	4
Minimization of differential equations and algebraic values of ????-functions	4
A short basis of the Stickelberger ideal of a cyclotomic field	4
Multiscale model reduction and two-level Schwarz preconditioner for H(curl) elliptic problems	4
Preparing Hamiltonians for quantum simulation: A computational framework for Cartan decomposition via Lax dynamics	4
The stabilization-free HDG method for fluid-structure interaction in a unified mixed formulation on Alfeld splits	4
An algorithm to recognize regular singular Mahler systems	4
	4
Construction and analysis of a HDG solution for the total-flux formulation of the convected Helmholtz equation	4
	4
Virtual element methods for Biot–Kirchhoff poroelasticity	4
Splitting integrators for stochastic Lie–Poisson systems	3
A random integration algorithm for high-dimensional function spaces	3
Sampling recovery in ????₂ and other norms	3
Stability and convergence analysis of a fully discrete semi-implicit scheme for stochastic Allen-Cahn equations with multiplicative noise	3
A manifold of planar triangular meshes with complete Riemannian metric	3
The Weierstrass–Durand–Kerner root finder is not generally convergent	3
Numerical analysis of a mixed-dimensional poromechanical model with frictionless contact at matrix–fracture interfaces	3
The classification and representations of positive definite ternary quadratic forms of level 4????	3
Convergence analysis of Laguerre approximations for analytic functions	3
Energy diminishing implicit-explicit Runge–Kutta methods for gradient flows	3

An abstract approach to Marcinkiewicz-Zygmund inequalities for approximation and quadrature in modulation spaces	3
Dynamics of quadratic polynomials and rational points on a curve of genus 4	3
Effective homology and periods of complex projective hypersurfaces	3
On time uniform Wong-Zakai approximation theorems	3
OEDG: Oscillation-eliminating discontinuous Galerkin method for hyperbolic conservation laws	3
Sharp estimates for the Möbius function with coprimality restrictions	3
Six-dimensional sphere packing and linear programming	3
	3
Low-regularity exponential-type integrators for the Zakharov system with rough data in all dimensions	3
On the Halpern method with adaptive anchoring parameters	3
On the sign changes of ????(????)-????	3
A node-conservative vorticity preserving finite volume method for linear acoustics on unstructured grids	3
Discrete geometry of Cox rings of blow-ups of ℙ³	3
Few hamiltonian cycles in graphs with one or two vertex degrees	3
Wavenumber-explicit stability and convergence analysis of ℎ???? finite element discretizations of Helmholtz problems in piecewise smooth media	3
A new div-div-conforming symmetric tensor finite element space with applications to the biharmonic equation	3
Uniform accuracy of implicit-explicit Runge-Kutta (IMEX-RK) schemes for hyperbolic systems with relaxation	3
Iterative solution of spatial network models by subspace decomposition	3
Inf-sup stability implies quasi-orthogonality	3
	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
Convergence of a stable numerical scheme to the weak solution for compressible Navier-Stokes system	3
Detecting eigenvectors of an operator that are near a specified subspace	3
Numerical solution of Poisson partial differential equation in high dimension using two-layer neural networks	3
A quasi-optimal space-time FEM with local mesh refinements for parabolic problems	3
On Iwasawa ????-invariants for abelian number fields and random matrix heuristics	2
Finite element/holomorphic operator function method for the transmission eigenvalue problem	2
Approximating viscosity solutions of the Euler system	2
Multi- and infinite-variate integration and ????²-approximation on Hilbert spaces with Gaussian kernels	2
Analysis of stochastic probing methods for estimating the trace of functions of sparse symmetric matrices	2
Convergence of Random Batch Method with replacement for interacting particle systems	2
	2
Computing inverses of Stieltjes transforms of probability measures	2
Bielliptic quotient modular curves of ????₀(????)	2
????^{1,∞} and ????^{∞} error estimates for an IP-HDG method for second-order elliptic problem with application to pointwise tracking optimal control	2
Double-variable trace maximization for extreme generalized singular quartets of a matrix pair: A geometric method	2
Virtual element methods based on boundary triangulation: Fitted and unfitted meshes	2
Inexact Gauss-Newton methods with matrix approximation by sampling for nonlinear least-squares and systems	2
Hybridizable symmetric stress elements on the barycentric refinement in arbitrary dimensions	2
A unifying theory for metrical results on regular continued fraction convergents and mediants	2
Polynomial approximation of symmetric functions	2
Numerical homotopies from Khovanskii bases	2
New lower bounds for the Schur-Siegel-Smyth trace problem	2
Properties of discrete sliced Wasserstein losses	2
Asymptotic repetitive threshold of balanced sequences	2
Uniqueness and stability for the solution of a nonlinear least squares problem	2
On Darmon’s program for the generalized Fermat equation, II	2
Algebra and geometry of camera resectioning	2
Parallel subspace correction methods for semicoercive and nearly semicoercive convex optimization with applications to nonlinear PDEs	2
Algorithms for fundamental invariants and equivariants of finite groups	2
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	2
On the genus of one degree of freedom planar linkages via tropical geometry	2
The smallest 5-chromatic tournament	2
Sampling via gradient flows in the space of probability measures	2
Convergence analysis of a positivity-preserving numerical scheme for the Cahn-Hilliard-Stokes system with Flory-Huggins energy potential	2
????-robust equivalence of global continuous constrained and local discontinuous unconstrained approximation, a ????-stable local commuting projector, and optimal elementwise ℎ???? approximation estim	2
	2
Optimal convergence rates of adaptive WOPSIP from superclose nonconforming FEM	2
A random active set method for strictly convex quadratic problem with simple bounds	2
Weak discrete maximum principle of isoparametric finite element methods in curvilinear polyhedra	2
A class of refined implicit-explicit Runge-Kutta methods with robust time adaptability and unconditional convergence for the Cahn-Hilliard model	2
Discrete tensor product BGG sequences: Splines and finite elements	2
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	2
Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation	2
Adaptive fast multiplication of ℋ²-matrices	2
A Prolog assisted search for new simple Lie algebras	2
Algebraic power series and their automatic complexity modulo prime powers	2
Piecewise rational rotation-minimizing motions via data stream interpolation	2
A unified differential equation solver approach for separable convex optimization: Splitting, acceleration and nonergodic rate	2
Using aromas to search for preserved measures and integrals in Kahan’s method	2
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	2
Unconditional full linear convergence and optimal complexity of adaptive iteratively linearized FEM for nonlinear PDEs	2
Counterexamples to the ????(????)-adic Littlewood conjecture over small finite fields	2
Delay-dependent elliptic reconstruction and optimal ????^{∞}(????²) a posteriori error estimates for fully discrete delay parabolic problems	2
Rational group algebras of generalized strongly monomial groups: Primitive idempotents and units	2
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	2
Optimal error estimate of unconditionally positivity-preserving, mass-conserving and energy stable method for the Keller-Segel chemotaxis model	2
A least-squares augmented Lagrangian virtual element method for Reissner-Mindlin plates	2
Kleinian sphere packings, reflection groups, and arithmeticity	2
Solving roughly forced nonlinear PDEs via misspecified kernel methods and neural networks	1
Equiangular lines in Euclidean spaces: Dimensions 17 and 18	1
Power detection over number fields	1
Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators	1
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	1
Large-scale Monte Carlo simulations for zeros in character tables of symmetric groups	1
Schinzel-type bounds for the Mahler measure on lemniscates	1
Density convergence of a fully discrete finite difference method for stochastic Cahn–Hilliard equation	1
Computation of the least primitive root	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
Low regularity estimates for CutFEM approximations of an elliptic problem with mixed boundary conditions	1
Efficient computation of Wiener-Hopf factorization of Markov-modulated Brownian motion	1
Congruences of elliptic curves arising from nonsurjective mod ???? Galois representations	1