Asymptotically exact a posteriori error estimates for the BDM finite element approximation of mixed Laplace eigenvalue problems Philip L. Lederer OriginalPaper Open access 22 May 2023 Article: 34
Strong convergence of an adaptive time-stepping Milstein method for SDEs with monotone coefficients Cónall KellyGabriel J. LordFandi Sun OriginalPaper Open access 22 May 2023 Article: 33
Monte Carlo integration of \(C^r\) functions with adaptive variance reduction: an asymptotic analysis Leszek PlaskotaPaweł PrzybyłowiczŁukasz Stȩpień OriginalPaper Open access 22 May 2023 Article: 32
Fast floating-point filters for robust predicates Tinko BartelsVissarion FisikopoulosMartin Weiser OriginalPaper Open access 17 May 2023 Article: 31
Low-rank tensor structure preservation in fractional operators by means of exponential sums Angelo CasulliLeonardo Robol OriginalPaper Open access 11 May 2023 Article: 30
Discretization of inherent ODEs and the geometric integration of DAEs with symmetries Peter KunkelVolker Mehrmann OriginalPaper Open access 29 April 2023 Article: 29
Computation of the unit in the first place (ufp) and the unit in the last place (ulp) in precision-p base \(\beta \) Siegfried M. Rump OriginalPaper Open access 29 April 2023 Article: 28
Construction of Rosenbrock–Wanner method Rodas5P and numerical benchmarks within the Julia Differential Equations package Gerd Steinebach OriginalPaper Open access 17 April 2023 Article: 27
On numerical methods for the semi-nonrelativistic limit system of the nonlinear Dirac equation Tobias JahnkeMichael Kirn OriginalPaper Open access 13 April 2023 Article: 26
Proximal gradient algorithm for nonconvex low tubal rank tensor recovery Yanhui LiuXueying ZengWeiguo Wang OriginalPaper 04 April 2023 Article: 25
Product integration rules by the constrained mock-Chebyshev least squares operator Francesco Dell’AccioDomenico MezzanotteDonatella Occorsio OriginalPaper Open access 03 April 2023 Article: 24
On the stability of unevenly spaced samples for interpolation and quadrature Annan YuAlex Townsend Research Paper 31 March 2023 Article: 23
Low cardinality positive interior cubature on NURBS-shaped domains Alvise SommarivaMarco Vianello OriginalPaper 17 March 2023 Article: 22
AAA interpolation of equispaced data Daan HuybrechsLloyd N. Trefethen OriginalPaper Open access 14 March 2023 Article: 21
Geometric means of quasi-Toeplitz matrices Dario A. BiniBruno IannazzoJie Meng OriginalPaper 08 March 2023 Article: 20
An Hermite-Obreschkoff method for stiff high-index DAE Reza ZolfaghariNedialko S. Nedialkov OriginalPaper 18 February 2023 Article: 19
Singular quadratic eigenvalue problems: linearization and weak condition numbers Daniel KressnerIvana Šain Glibić OriginalPaper 15 February 2023 Article: 18
On the order reduction of approximations of fractional derivatives: an explanation and a cure Byron A. JacobsFredrik LaurénJan Nordström OriginalPaper Open access 12 February 2023 Article: 17
Small time chaos approximations for heat kernels of multidimensional diffusions D. IvanenkoA. Kohatsu-HigaA. Kulik OriginalPaper 12 February 2023 Article: 16
On Kosloff Tal-Ezer least-squares quadrature formulas G. CappellazzoW. ErbD. Poggiali OriginalPaper Open access 12 February 2023 Article: 15
On a large-stepsize integrator for charged-particle dynamics Christian LubichYanyan Shi OriginalPaper Open access 04 February 2023 Article: 14
Low-rank Parareal: a low-rank parallel-in-time integrator Benjamin CarrelMartin J. GanderBart Vandereycken OriginalPaper Open access 04 February 2023 Article: 13
Error estimation for the time to a threshold value in evolutionary partial differential equations Jehanzeb H. ChaudhryDonald EstepSimon J. Tavener OriginalPaper 04 February 2023 Article: 12
Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics Changqing YeEric T. Chung OriginalPaper 01 February 2023 Article: 11
Quadrature processes for efficient calculation of the Clausen functions Zora Lj. GolubovićGradimir V. Milovanović OriginalPaper 01 February 2023 Article: 10
Rank-adaptive dynamical low-rank integrators for first-order and second-order matrix differential equations Marlis HochbruckMarkus NeherStefan Schrammer OriginalPaper Open access 31 January 2023 Article: 9
Analysis of algebraic flux correction schemes for semi-discrete advection problems Hennes HajdukAndreas Rupp OriginalPaper Open access 30 January 2023 Article: 8
A fractional Adams–Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data Yuan-Ming WangBo Xie OriginalPaper 30 January 2023 Article: 7
Towards stability results for global radial basis function based quadrature formulas Jan GlaubitzJonah A. Reeger OriginalPaper 30 January 2023 Article: 6
An energy-based discontinuous Galerkin method with tame CFL numbers for the wave equation Daniel AppelöLu ZhangFengyan Li OriginalPaper 30 January 2023 Article: 5
Dynamical low-rank integrators for second-order matrix differential equations Marlis HochbruckMarkus NeherStefan Schrammer OriginalPaper Open access 30 January 2023 Article: 4
A fully adaptive explicit stabilized integrator for advection–diffusion–reaction problems Ibrahim Almuslimani OriginalPaper 30 January 2023 Article: 3
Low regularity integrators for semilinear parabolic equations with maximum bound principles Cao-Kha DoanThi-Thao-Phuong HoangKatharina Schratz OriginalPaper 27 January 2023 Article: 2
Perturbation bounds for stable gyroscopic systems Ivana Kuzmanović IvičićSuzana Miodragović OriginalPaper 25 January 2023 Article: 1
Correction to: a dimension expanded preconditioning technique for saddle point problems Wei-Hua LuoXian-Ming GuBruno Carpentieri Publisher Correction 02 November 2022 Pages: 2035 - 2035
Numerical evaluation of ODE solutions by Monte Carlo enumeration of Butcher series Guillaume PenentNicolas Privault OriginalPaper 17 October 2022 Pages: 1921 - 1944
An efficient adaptive multigrid method for the elasticity eigenvalue problem Fei XuQiumei HuangManting Xie OriginalPaper 21 September 2022 Pages: 2005 - 2033
A dimension expanded preconditioning technique for saddle point problems Wei-Hua LuoXian-Ming GuBruno Carpentieri OriginalPaper 14 September 2022 Pages: 1983 - 2004
A hierarchically low-rank optimal transport dissimilarity measure for structured data Mohammad Motamed OriginalPaper 08 September 2022 Pages: 1945 - 1982
On the quadrature exactness in hyperinterpolation Congpei AnHao-Ning Wu OriginalPaper 05 September 2022 Pages: 1899 - 1919
Pseudospectral methods and iterative solvers for optimization problems from multiscale particle dynamics Mildred AduamoahBenjamin D. GoddardJonna C. Roden OriginalPaper Open access 11 August 2022 Pages: 1703 - 1743
Automatic balancing parameter selection for Tikhonov-TV regularization Ali GholamiSilvia Gazzola OriginalPaper Open access 08 August 2022 Pages: 1873 - 1898
Convergent semi-explicit scheme to a non-linear eikonal system Maryam Al ZohbiAhmad El HajjMustapha Jazar OriginalPaper 11 July 2022 Pages: 1841 - 1872
Variational symplectic diagonally implicit Runge-Kutta methods for isospectral systems Clauson Carvalho da SilvaChristian Lessig OriginalPaper Open access 09 July 2022 Pages: 1823 - 1840
Variable-step deferred correction methods based on backward differentiation formulae for ordinary differential equations Yves BourgaultAndré Garon OriginalPaper 05 July 2022 Pages: 1789 - 1822
Solving large linear least squares problems with linear equality constraints Jennifer ScottMiroslav Tůma OriginalPaper Open access 05 July 2022 Pages: 1765 - 1787
A new class of structure-preserving stochastic exponential Runge-Kutta integrators for stochastic differential equations Guoguo YangKevin BurrageXiaohua Ding OriginalPaper 03 July 2022 Pages: 1591 - 1623
Effective grading refinement for locally linearly independent LR B-splines Francesco Patrizi OriginalPaper Open access 09 June 2022 Pages: 1745 - 1764
Using the Dafermos entropy rate criterion in numerical schemes Simon-Christian Klein OriginalPaper Open access 01 June 2022 Pages: 1673 - 1701
\(L^p\)-convergence rate of backward Euler schemes for monotone SDEs Zhihui Liu OriginalPaper 25 May 2022 Pages: 1573 - 1590