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Numerical approximation of the stochastic Navier–Stokes equations through artificial compressibility Jad Doghman OriginalPaper 06 April 2024 Article: 23
Weight calculation and convergence analysis of polyharmonic spline (PHS) with polynomials for different stencils Zhihong LiuMahdiar BarfeieFazlollah Soleymani OriginalPaper 05 April 2024 Article: 22
Discrete projection methods for Fredholm–Hammerstein integral equations using Kumar and Sloan technique Ritu NigamNilofar NahidGnaneshwar Nelakanti OriginalPaper 26 March 2024 Article: 21
An efficient and unified method for band structure calculations of 2D anisotropic photonic-crystal fibers Qing LiuHao-Nan YangZhanshan Yang OriginalPaper 23 March 2024 Article: 20
Tensor completion via multi-directional partial tensor nuclear norm with total variation regularization Rong LiBing Zheng OriginalPaper 04 March 2024 Article: 19
A Gauss–Newton method for mixed least squares-total least squares problems Qiaohua LiuShan WangYimin Wei OriginalPaper 01 March 2024 Article: 18
Supercloseness of the NIPG method for a singularly perturbed convection diffusion problem on Shishkin mesh Jin ZhangXiaoqi Ma OriginalPaper 28 February 2024 Article: 17
Numerical methods for the forward and backward problems of a time-space fractional diffusion equation Xiaoli FengXiaoyu YuanZhi Qian OriginalPaper 21 February 2024 Article: 16
Discrete duality finite volume scheme for a generalized Joule heating problem Mustapha BahariEl-Houssaine QuenjelMohamed Rhoudaf OriginalPaper 07 February 2024 Article: 14
Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis Djoko Kamdem JulesGidey HagosSayah Toni OriginalPaper 01 February 2024 Article: 13
Optimal approximation of infinite-dimensional holomorphic functions Ben AdcockNick DexterSebastian Moraga OriginalPaper 29 January 2024 Article: 12
Analytic regularity and solution approximation for a semilinear elliptic partial differential equation in a polygon Yanchen HeChristoph Schwab OriginalPaper Open access 11 January 2024 Article: 11
The Hermite-type virtual element method with interior penalty for the fourth-order elliptic problem Jikun ZhaoTeng ChenXiaojing Dong OriginalPaper 03 January 2024 Article: 10
Error estimates of invariant-preserving difference schemes for the rotation-two-component Camassa–Holm system with small energy Qifeng ZhangJiyuan ZhangZhimin Zhang OriginalPaper 02 January 2024 Article: 9
An algorithm for the spectral radius of weakly essentially irreducible nonnegative tensors Guimin LiuHongbin Lv OriginalPaper 02 January 2024 Article: 8
\(L^2(I;H^1(\Omega )^d)\) and \(L^2(I;L^2(\Omega )^d)\) best approximation type error estimates for Galerkin solutions of transient Stokes problems Dmitriy LeykekhmanBoris Vexler OriginalPaper 29 December 2023 Article: 7
A convection–diffusion problem with a large shift on Durán meshes Mirjana BrdarSebastian FranzHans-Görg Roos OriginalPaper 28 December 2023 Article: 6
On the positivity of the discrete Green’s function for unstructured finite element discretizations in three dimensions Andrew P. Miller OriginalPaper 22 December 2023 Article: 5
A class of two stage multistep methods in solutions of time dependent parabolic PDEs Moosa EbadiMohammad Shahriari OriginalPaper 21 December 2023 Article: 4
Explicit and structure-preserving exponential wave integrator Fourier pseudo-spectral methods for the Dirac equation in the simultaneously massless and nonrelativistic regime Jiyong Li OriginalPaper 11 December 2023 Article: 3
High-order schemes based on extrapolation for semilinear fractional differential equation Yuhui YangCharles Wing Ho GreenYubin Yan OriginalPaper Open access 11 December 2023 Article: 2
Robust numerical schemes for time delayed singularly perturbed parabolic problems with discontinuous convection and source terms S. PriyadarshanaJ. MohapatraH. Ramos OriginalPaper Open access 29 November 2023 Article: 1
Accurate and efficient numerical methods for the nonlinear Schrödinger equation with Dirac delta potential Xuanxuan ZhouYongyong CaiGuixiang Xu OriginalPaper 20 November 2023 Article: 57
Elliptic polytopes and invariant norms of linear operators Thomas MejstrikValdimir Yu. Protasov OriginalPaper 17 November 2023 Article: 56
Fast barycentric rational interpolations for complex functions with some singularities Shunfeng YangShuhuang Xiang OriginalPaper 15 November 2023 Article: 55
A linear algebra perspective on the random multi-block ADMM: the QP case Stefano CipollaJacek Gondzio OriginalPaper Open access 15 November 2023 Article: 54
On greedy randomized block Gauss–Seidel method with averaging for sparse linear least-squares problems Yimou LiaoTianxiu Lu OriginalPaper 13 November 2023 Article: 53
A posteriori analysis for a mixed formulation of the Stokes spectral problem Felipe LepeJesus Vellojin OriginalPaper 13 November 2023 Article: 52
A Banach spaces-based mixed finite element method for the stationary convective Brinkman–Forchheimer problem Sergio CaucaoGabriel N. GaticaLuis F. Gatica OriginalPaper 20 October 2023 Article: 51
Two-dimensional Jacobi pseudospectral quadrature solutions of two-dimensional fractional Volterra integral equations A. K. Mittal OriginalPaper 18 October 2023 Article: 50
A weighted ADI scheme with variable time steps for diffusion-wave equations Pin LyuSeakweng Vong OriginalPaper 09 October 2023 Article: 49
Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems Ivo DravinsMaya Neytcheva OriginalPaper Open access 08 October 2023 Article: 48
A numerical method for analysis and simulation of diffusive viscous wave equations with variable coefficients on polygonal meshes Naresh KumarBhupen Deka OriginalPaper 06 October 2023 Article: 47
A streamline-derivative-based local projection stabilization virtual element method for nonlinear convection–diffusion–reaction equation Sudheer MishraE. Natarajan OriginalPaper 23 September 2023 Article: 46
Local projection stabilized finite element methods for advection–reaction problems Deepika GargSashikumaar Ganesan OriginalPaper Open access 12 September 2023 Article: 45
A macro-bubble enriched P1–P0 finite element for the Stokes equations on triangular and tetrahedral meshes Shangyou Zhang OriginalPaper 24 August 2023 Article: 44
Conditioning of Fourier sums on a quadratic curve Phung Van Manh OriginalPaper 05 August 2023 Article: 43
Polynomial time \(\rho \)-locally maximum volume search Alexander Osinsky OriginalPaper 03 August 2023 Article: 42
ADI Finite Element Galerkin Methods for Two-dimensional Tempered Fractional Integro-differential Equations Wenlin QiuGraeme FairweatherHaixiang Zhang OriginalPaper 03 August 2023 Article: 41
Energy-norm and balanced-norm supercloseness error analysis of a finite volume method on Shishkin meshes for singularly perturbed reaction–diffusion problems Xiangyun MengMartin Stynes OriginalPaper 28 July 2023 Article: 40
Accurate computation of eigenvalues of generalized sign regular quasi-Said–Ball–Vandermonde matrices Yebo Xiong OriginalPaper 21 July 2023 Article: 39
Deflated and restarted Krylov subspace methods for Sylvester tensor equations Ying GuGang WuXin Zhang OriginalPaper 11 July 2023 Article: 38
A stable and \(H^1\)-conforming divergence-free finite element pair for the Stokes problem using isoparametric mappings Michael NeilanM. Baris Otus OriginalPaper 27 June 2023 Article: 37
Augmented spectral formulation for the Stokes problem with variable viscosity and mixed boundary conditions C. BousbiatY. DaikhD. Yakoubi OriginalPaper 23 June 2023 Article: 36
The Fréchet derivative of the tensor t-function Kathryn LundMarcel Schweitzer OriginalPaper Open access 16 June 2023 Article: 35
On polynomials generated by a four-term recurrence relation and linear coefficients Vanessa BottaEduardo Fornazieri Filho OriginalPaper 15 June 2023 Article: 33
Cohomology of the discrete de Rham complex on domains of general topology Daniele A. Di PietroJérôme DroniouSilvano Pitassi OriginalPaper Open access 24 May 2023 Article: 32
