Mathematics of Computation

Article	Citations
Analysis of adaptive BDF2 scheme for diffusion equations	53
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system	35
Convergence analysis for a stabilized linear semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation	35
New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis	34
Error analysis of an L2-type method on graded meshes for a fractional-order parabolic problem	31
Low-regularity integrators for nonlinear Dirac equations	25
Sharper bounds for the Chebyshev function ?(?)	23
Dörfler marking with minimal cardinality is a linear complexity problem	22
Implicit-explicit relaxation Runge-Kutta methods: construction, analysis and applications to PDEs	17
Uniform error bounds of time-splitting spectral methods for the long-time dynamics of the nonlinear Klein–Gordon equation with weak nonlinearity	17
Adaptive iterative linearization Galerkin methods for nonlinear problems	17
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation	16
Certified dimension reduction in nonlinear Bayesian inverse problems	16
Analysis of the shifted boundary method for the Poisson problem in domains with corners	15
An ultraweak-local discontinuous Galerkin method for PDEs with high order spatial derivatives	15
Quadratic points on modular curves with infinite Mordell–Weil group	14
Approximate first-order primal-dual algorithms for saddle point problems	14
Stability of a simple scheme for the approximation of elastic knots and self-avoiding inextensible curves	13
Finite elements for divdiv conforming symmetric tensors in three dimensions	13
A deep learning approach to Reduced Order Modelling of parameter dependent partial differential equations	13
Rate optimality of adaptive finite element methods with respect to overall computational costs	13
Consistency of empirical Bayes and kernel flow for hierarchical parameter estimation	12
A weighted randomized Kaczmarz method for solving linear systems	12
Function integration, reconstruction and approximation using rank-$1$ lattices	12
Structure-preserving reduced basis methods for Poisson systems	12

Orthogonal polynomials in and on a quadratic surface of revolution	12
A finite element elasticity complex in three dimensions	12
The error term in the prime number theorem	12
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters	11
On the continuous time limit of the ensemble Kalman filter	11
Accurate estimation of sums over zeros of the Riemann zeta-function	11
Inf-sup stability of the trace $\mathbf {P}_2$–$P_1$ Taylor–Hood elements for surface PDEs	10
Stabilized leapfrog based local time-stepping method for the wave equation	10
Analysis of local discontinuous Galerkin methods with generalized numerical fluxes for linearized KdV equations	10
Improved uniform error bounds of the time-splitting methods for the long-time (nonlinear) Schrödinger equation	10
A discontinuous Galerkin pressure correction scheme for the incompressible Navier–Stokes equations: Stability and convergence	10
A unified framework of SAGE and SONC polynomials and its duality theory	10
ℎ?-version discontinuous Galerkin methods on essentially arbitrarily-shaped elements	10
A symmetric low-regularity integrator for nonlinear Klein-Gordon equation	10
Explicit Coleman integration for curves	10
A highly accurate boundary integral method for the elastic obstacle scattering problem	10
Stability and convergence analysis for the implicit-explicit method to the Cahn-Hilliard equation	9
On the uniform accuracy of implicit-explicit backward differentiation formulas (IMEX-BDF) for stiff hyperbolic relaxation systems and kinetic equations	9
Conforming discrete Gradgrad-complexes in three dimensions	9
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian	9
Multilevel decompositions and norms for negative order Sobolev spaces	9
On an inverse problem of nonlinear imaging with fractional damping	8
New analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media	8
Approximation of optimal transport problems with marginal moments constraints	7
A fast algorithm to compute the Ramanujan-Deninger gamma function and some number-theoretic applications	7
Computing equilibrium measures with power law kernels	7
Strong convergence and asymptotic stability of explicit numerical schemes for nonlinear stochastic differential equations	7
Computing square-free polarized abelian varieties over finite fields	7
Super-localization of elliptic multiscale problems	7
Superconvergence of time invariants for the Gross–Pitaevskii equation	7
Block FETI–DP/BDDC preconditioners for mixed isogeometric discretizations of three-dimensional almost incompressible elasticity	7
The Magnus expansion and post-Lie algebras	7
Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem	7
Multiscale scattering in nonlinear Kerr-type media	7
Optimal error estimates of discontinuous Galerkin methods with generalized fluxes for wave equations on unstructured meshes	7
Existence of dynamical low-rank approximations to parabolic problems	7
Spectral norm of a symmetric tensor and its computation	7
Dual linear programming bounds for sphere packing via modular forms	6
A new practical framework for the stability analysis of perturbed saddle-point problems and applications	6
Consistency of finite volume approximations to nonlinear hyperbolic balance laws	6
Low Mach number limit of some staggered schemes for compressible barotropic flows	6
Semi-explicit discretization schemes for weakly coupled elliptic-parabolic problems	6
Stable broken ?(????) polynomial extensions and ?-robust a posteriori error estimates by broken patchwise equilibration for the curl–curl problem	6
A first-order Fourier integrator for the nonlinear Schrödinger equation on ? without loss of regularity	6
Generalized matrix spectral factorization and quasi-tight framelets with a minimum number of generators	6
Nitsche’s method for Navier–Stokes equations with slip boundary conditions	6
Totally positive algebraic integers with small trace	6
Computing error bounds for asymptotic expansions of regular P-recursive sequences	6
Finite element approximation and preconditioning for anisothermal flow of implicitly-constituted non-Newtonian fluids	6
Quadratic algorithm to compute the Dynkin type of a positive definite quasi-Cartan matrix	6

The distribution of $k$-free numbers	6
Analysis of an exactly mass conserving space-time hybridized discontinuous Galerkin method for the time-dependent Navier–Stokes equations	6
Periodic representations for quadratic irrationals in the field of ?-adic numbers	6
Explicit interval estimates for prime numbers	6
An exponent one-fifth algorithm for deterministic integer factorisation	5
Density function of numerical solution of splitting AVF scheme for stochastic Langevin equation	5
Counting zeros of Dirichlet $L$-functions	5
On Newman and Littlewood polynomials with a prescribed number of zeros inside the unit disk	5
Conservativity and weak consistency of a class of staggered finite volume methods for the Euler equations	5
Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations	5
Smoothed analysis for the condition number of structured real polynomial systems	5
Quasi-optimal adaptive mixed finite element methods for controlling natural norm errors	5
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem	5
New superconvergent structures developed from the finite volume element method in 1D	5
On symmetric-conjugate composition methods in the numerical integration of differential equations	5
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility	5
Error estimates at low regularity of splitting schemes for NLS	5
Weak discrete maximum principle of finite element methods in convex polyhedra	5
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk	5
Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity	5
Convergence acceleration of ensemble Kalman inversion in nonlinear settings	5
Local and global phaseless sampling in real spline spaces	5
A novel augmented Lagrangian method of multipliers for optimization with general inequality constraints	5
Convergence of restricted additive Schwarz with impedance transmission conditions for discretised Helmholtz problems	5
Algorithms for fusion systems with applications to ?-groups of small order	5
Series reversion in Calderón’s problem	4
Accuracy controlled data assimilation for parabolic problems	4
Algorithms for fundamental invariants and equivariants of finite groups	4
A space–time quasi-Trefftz DG method for the wave equation with piecewise-smooth coefficients	4
Fast component-by-component construction of lattice algorithms for multivariate approximation with POD and SPOD weights	4
LSOS: Line-search second-order stochastic optimization methods for nonconvex finite sums	4
Stochastic gradient descent for linear inverse problems in Hilbert spaces	4
Interpolation operator on negative Sobolev spaces	4
Super-polynomial accuracy of one dimensional randomized nets using the median of means	4
A fully discrete plates complex on polygonal meshes with application to the Kirchhoff–Love problem	4
Stability and error analysis for a second-order approximation of 1D nonlocal Schrödinger equation under DtN-type boundary conditions	4
Cyclic isogenies of elliptic curves over fixed quadratic fields	4
Stability and convergence analysis of artificial boundary conditions for the Schrödinger equation on a rectangular domain	4
On the solvability of the nonlinear problems in an algebraically stabilized finite element method for evolutionary transport-dominated equations	4
Enumeration of set-theoretic solutions to the Yang–Baxter equation	4
Convergence analysis of some tent-based schemes for linear hyperbolic systems	4
Quasi-Monte Carlo Bayesian estimation under Besov priors in elliptic inverse problems	4
A time-space tradeoff for Lehman’s deterministic integer factorization method	4
A numerical toolkit for multiprojective varieties	4
A posteriori error analysis for approximations of time-fractional subdiffusion problems	4
Uniform convergent expansions of integral transforms	4
On the second Lyapunov exponent of some multidimensional continued fraction algorithms	4
Fast and stable augmented Levin methods for highly oscillatory and singular integrals	4
Numerical analysis for inchworm Monte Carlo method: Sign problem and error growth	4
Error estimates for a class of discontinuous Galerkin methods for nonsmooth problems via convex duality relations	4
Unconditional convergence for discretizations of dynamical optimal transport	4
Boosted optimal weighted least-squares	3
The interior penalty virtual element method for the biharmonic problem	3
Numerical analysis of a method for solving 2D linear isotropic elastodynamics with traction free boundary condition using potentials and finite elements	3
Semiexplicit symplectic integrators for non-separable Hamiltonian systems	3
Robust a posteriori error estimation for parameter-dependent linear elasticity equations	3
Component-by-component construction of randomized rank-1 lattice rules achieving almost the optimal randomized error rate	3
Counting zeros of Dedekind zeta functions	3
On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D	3
Toric eigenvalue methods for solving sparse polynomial systems	3
Orientable hyperbolic 4-manifolds over the 120-cell	3
Explicit and efficient error estimation for convex minimization problems	3
A new algorithm for ?-adic continued fractions	3
Unified analysis of finite-size error for periodic Hartree-Fock and second order Møller-Plesset perturbation theory	3
An algorithmic approach to Chevalley’s Theorem on images of rational morphisms between affine varieties	3
Class numbers and representations by ternary quadratic forms with congruence conditions	3
Strictly convex entropy and entropy stable schemes for reactive Euler equations	3
Minimization with differential inequality constraints applied to complete Lyapunov functions	3
Crouzeix-Raviart triangular elements are inf-sup stable	3
Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh	3
Quadratic points on bielliptic modular curves	3
Spanning the isogeny class of a power of an elliptic curve	3
An extended Galerkin analysis in finite element exterior calculus	3
On the finiteness and periodicity of the ?-adic Jacobi–Perron algorithm	3
Inf-sup stability implies quasi-orthogonality	3
A sharp discrepancy bound for jittered sampling	3
Fast multi-precision computation of some Euler products	3
Embedded desingularization for arithmetic surfaces – toward a parallel implementation	3
Explicit stabilized multirate method for stiff differential equations	3
Pointwise error estimates and local superconvergence of Jacobi expansions	3

Approximation properties of sum-up rounding in the presence of vanishing constraints	3
Analysis of finite element methods for surface vector-Laplace eigenproblems	3
Superelliptic curves with many automorphisms and CM Jacobians	3
Equiangular lines in Euclidean spaces: Dimensions 17 and 18	3
Numerical methods for biomembranes: Conforming subdivision methods versus non-conforming PL methods	3
Positivity of the determinants of the partition function and the overpartition function	3
Avoiding squares over words with lists of size three amongst four symbols	3
Convergence analysis of quasi-Monte Carlo sampling for quantile and expected shortfall	3
Numerical homotopies from Khovanskii bases	3
Bielliptic quotient modular curves of ?₀(?)	2
Sparse trace tests	2
An iterative decoupled algorithm with unconditional stability for Biot model	2
Splitting integrators for stochastic Lie–Poisson systems	2
Strengthening the Baillie-PSW primality test	2
Bounds for spherical codes: The Levenshtein framework lifted	2
On the reconstruction of functions from values at subsampled quadrature points	2
Finite element de Rham and Stokes complexes in three dimensions	2
Geometry of error amplification in solving the Prony system with near-colliding nodes	2
The Weierstrass–Durand–Kerner root finder is not generally convergent	2
A kit for linear forms in three logarithms	2
An Eulerian finite element method for tangential Navier-Stokes equations on evolving surfaces	2
A log-log speedup for exponent one-fifth deterministic integer factorisation	2
On an extended Filon method for highly oscillatory integrals over a simplex	2
Two-scale methods for convex envelopes	2
Convergence of the boundary integral method for interfacial Stokes flow	2
A note on the Monge–Ampère type equations with general source terms	2
Computing the nonfree locus of the moduli space of arrangements and Terao’s freeness conjecture	2
Convergence of the kinetic hydrostatic reconstruction scheme for the Saint Venant system with topography	2
An algorithmic approach to Rupert’s problem	2
The simultaneous conjugacy problem in the symmetric group	2
Time integrators for dispersive equations in the long wave regime	2
Explicit Tamagawa numbers for certain algebraic tori over number fields	2
Minimal residual methods in negative or fractional Sobolev norms	2
A Newton-type algorithm for the tensor eigenvalue complementarity problem and some applications	2
On the construction of multiresolution analyses associated to general subdivision schemes	2
From the Birch and Swinnerton-Dyer conjecture to Nagao’s conjecture	2
Isotropic non-Lipschitz regularization for sparse representations of random fields on the sphere	2
Scaled lattice rules for integration on ℝ^{?} achieving higher-order convergence with error analysis in terms of orthogonal projections onto periodic spaces	2
Approximation of Stochastic Volterra Equations with kernels of completely monotone type	2
A note on devising HDG+ projections on polyhedral elements	2
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation	2
A monotone numerical flux for quasilinear convection diffusion equation	2
A second-order numerical method for the aggregation equations	2
Uniform convergence of an upwind discontinuous Galerkin method for solving scaled discrete-ordinate radiative transfer equations with isotropic scattering	2
Degree bound for toric envelope of a linear algebraic group	2
On a structure-preserving numerical method for fractional Fokker-Planck equations	2
Minimality and uniqueness for decompositions of specific ternary forms	2
Iterative solution of spatial network models by subspace decomposition	2
Analysis of divergence-free ?¹ conforming FEM with IMEX-SAV scheme for the Navier-Stokes equations at high Reynolds number	2
Numerical methods for the deterministic second moment equation of parabolic stochastic PDEs	2
Computation of a 30750-bit binary field discrete logarithm	2
Boolean algebra of two-dimensional continua with arbitrarily complex topology	2
Revisiting linearized Bregman iterations under Lipschitz-like convexity condition	2
Congruences of elliptic curves arising from nonsurjective mod ? Galois representations	2
Recovery of Sobolev functions restricted to iid sampling	2
On probabilistic convergence rates of stochastic Bernstein polynomials	2
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm	1
Why large time-stepping methods for the Cahn-Hilliard equation is stable	1
A classification of ECM-friendly families of elliptic curves using modular curves	1
Convergence of a regularized finite element discretization of the two-dimensional Monge–Ampère equation	1
On Iwasawa ?-invariants for abelian number fields and random matrix heuristics	1
A new class of entropy stable schemes for hyperbolic systems: Finite element methods	1
A uniformly accurate numerical method for a class of dissipative systems	1
Asymptotic expansions of eigenvalues by both the Crouzeix–Raviart and enriched Crouzeix–Raviart elements	1
Modular curves with infinitely many quartic points	1
A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy	1
ℚ-Curves, Hecke characters and some Diophantine equations	1
Convergence of Langevin-simulated annealing algorithms with multiplicative noise	1
Jacobi-type algorithms for homogeneous polynomial optimization on Stiefel manifolds with applications to tensor approximations	1
Exact sequences on Worsey–Farin splits	1
Constructing abelian extensions with prescribed norms	1
Enumeration of left braces with additive group ?₄×?₄×?₄	1
The equilateral small octagon of maximal width	1
Analysis of the Feshbach–Schur method for the Fourier spectral discretizations of Schrödinger operators	1
Inexact restoration for minimization with inexact evaluation both of the objective function and the constraints	1
	1
Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations	1
Abel Maps for nodal curves via tropical geometry	1
Coupler curves of moving graphs and counting realizations of rigid graphs	1
Convergence to weak solutions of a space-time hybridized discontinuous Galerkin method for the incompressible Navier–Stokes equations	1
Convergence analysis of Laguerre approximations for analytic functions	1
Optimal transportation for electrical impedance tomography	1
Asymptotic repetitive threshold of balanced sequences	1
Corrigendum to “Convergence of adaptive, discontinuous Galerkin methods”	1
A range characterization of the single-quadrant ADRT	1
Computing isomorphisms between lattices	1
Explicit Vologodsky integration for hyperelliptic curves	1
Hensel lifting algorithms for quadratic forms	1
On bounds for Kummer’s function ratio	1
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling	1
A manifold of planar triangular meshes with complete Riemannian metric	1
Computing GIT-fans with symmetry and the Mori chamber decomposition of \overline{?}_{0,6}	1
A nonsymmetric approach and a quasi-optimal and robust discretization for the Biot’s model	1
Computing ?-adic L-functions of totally real fields	1
Primes in arithmetic progressions and semidefinite programming	1