The localized meshless method of lines for the approximation of two-dimensional reaction-diffusion system Manzoor HussainAbdul Ghafoor Original Paper 27 April 2024
Nyström discretization of integrodifference equations: numerical continuation of periodic solutions and Floquet multipliers Christian PötzscheDavid Rackl Original Paper Open access 26 April 2024
Numerical integrator for highly oscillatory differential equations based on the Neumann series Rafał PerczyńskiGrzegorz Madejski Original Paper Open access 25 April 2024
A two-step Broyden-like method for nonlinear equations Jingyong TangJinchuan Zhou Original Paper 25 April 2024
A computational approach based on the Legendre-Galerkin method for solving a distributed optimal control problem constrained by the biharmonic equation Manoochehr Khasi Original Paper 24 April 2024
Optimal error estimates of penalty difference finite element method for the 3D steady Navier-Stokes equations Xinlong FengXiaoli LuYinnian He Original Paper 23 April 2024
A new family of fourth-order energy-preserving integrators Yuto Miyatake Original Paper Open access 23 April 2024
A dual symmetric Gauss-Seidel technique-based proximal ADMM for robust fused lasso estimation Zheng-Fen JinYibao FanWeiwei Ding Original Paper 23 April 2024
Stability improvements for fast matrix multiplication Charlotte VermeylenMarc Van Barel Original Paper 20 April 2024
Smaller stencil preconditioners for linear systems in RBF-FD discretizations Michael KochSabine Le BorneWilli Leinen Original Paper Open access 20 April 2024
A fast algorithm for multi-term time-space fractional diffusion equation with fractional boundary condition Zhenhao LuWenping Fan Original Paper 18 April 2024
Preconditioned golden ratio primal-dual algorithm with linesearch Shan MaSi LiFeng Ma Original Paper 16 April 2024
An algorithm for approximating implicit functions by polynomials without using higher order differentiability information Kyung Soo Rim Original Paper 16 April 2024
A class of a posteriori parameter choice rules for filter-based regularization schemes K. J. SayanaG. D. Reddy Original Paper 16 April 2024
A variational regularization method for solving the non-characteristic Cauchy problem in multiple dimensions Xiangtuan XiongJingjing Han Original Paper 15 April 2024
A class of accelerated GADMM-based method for multi-block nonconvex optimization problems Kunyu ZhangHu ShaoXiaoquan Wang Original Paper 13 April 2024
The linear barycentric rational backward differentiation formulae for stiff ODEs on nonuniform grids Ali AbdiSeyyed Ahmad HosseiniHelmut Podhaisky Original Paper 11 April 2024
Analytical and numerical studies of the modified Kawahara equation with dual-power law nonlinearities Xiaofeng Wang Original Paper 11 April 2024
Banded preconditioning with shift compensation for solving discrete Riesz space-fractional diffusion equations Shu-Jiao LiKang-Ya LuCun-Qiang Miao Original Paper 11 April 2024
A posteriori error bounds for the block-Lanczos method for matrix function approximation Qichen XuTyler Chen Original Paper 09 April 2024
Computing parametrised large intersection sets of 1D invariant manifolds: a tool for blender detection Dana C’JulioBernd KrauskopfHinke M. Osinga Original Paper Open access 09 April 2024
Non-linear WENO B-spline based approximation method Sergio AmatDavid LevinDionisio F. Yáñez Original Paper Open access 09 April 2024
A high-order numerical scheme and its analysis for Caputo temporal-fractional Black-Scholes model: European double barrier knock-out option Pradip Roul Original Paper 08 April 2024
An Arrow-Hurwicz iterative method based on charge-conservation for the stationary inductionless magnetohydrodynamic system Yande XiaYun-Bo Yang Original Paper 04 April 2024
A family of linearly weighted-\(\theta \) compact ADI schemes for sine-Gordon equations in high dimensions Qifeng ZhangDongfang LiWanying Mao Original Paper 04 April 2024
Extrapolation methods for multilinear PageRank Abdeslem Hafid BentbibMaryam BoubekraouiKhalide Jbilou Original Paper 03 April 2024
Stabilization of parareal algorithms for long-time computation of a class of highly oscillatory Hamiltonian flows using data Rui FangRichard Tsai Original Paper 03 April 2024
The second-order modified upwind PPM characteristic difference method and analysis for solving convection-diffusion equations Huimin RenQi ZhangZhongguo Zhou Original Paper 01 April 2024
A numerical approach for investigating multiple eigenpairs of a quasilinear elliptic system Suchismita Patra Original Paper 01 April 2024
Novel numerical methods based on graded, adaptive and uniform meshes for a time-fractional advection-diffusion equation subjected to weakly singular solution Pradip RoulS. Sundar Original Paper 28 March 2024
Numerical solution of the boundary value problems for the biharmonic equations via quasiseparable representations M. Ben-ArtziY. EidelmanD. Fishelov Original Paper Open access 28 March 2024
A relaxation two-step parallel modulus method without auxiliary variable for solving large sparse vertical linear complementarity problems Wenxiu GuoHua ZhengSeakweng Vong Original Paper 28 March 2024
Fast and stable rational approximation of generalized hypergeometric functions Richard Mikaël Slevinsky Original Paper 28 March 2024
Unconditionally positivity-preserving explicit Euler-type schemes for a generalized Aït-Sahalia model Ruishu LiuYulin CaoXiaojie Wang Original Paper 28 March 2024
Randomized flexible GMRES with deflated restarting Yongseok JangLaura GrigoriCédric Content Original Paper 28 March 2024
Computational aspects of simultaneous Gaussian quadrature T. LaudadioN. MastronardiP. Van Dooren Original Paper Open access 28 March 2024
Explicit numerical methods for solving singular initial value problems for systems of second-order nonlinear ODEs B. Y. DatskoM. V. Kutniv Original Paper 27 March 2024
Spatial two-grid compact difference method for nonlinear Volterra integro-differential equation with Abel kernel Hao ChenMahmoud A. ZakyWenlin Qiu Original Paper 27 March 2024
A new approach to the Korpelevich method for solving pseudomonotone equilibrium problems Duong Viet ThongXiao-Huan LiDang Huy Ngan Original Paper 26 March 2024
A generalized fuzzy barycentric Lagrange interpolation method for solving two-dimensional fuzzy fractional Volterra integral equations Ting DengJin HuangHu Li Original Paper 26 March 2024
An efficient algorithm to solve the geometric Asian power option price PDE under the stochastic volatility model Abdulaziz AlsenafiFares AlazemiJavad Alavi Original Paper 23 March 2024
Residual-based a posteriori error analysis of an ultra-weak discontinuous Galerkin method for nonlinear second-order initial-value problems Mahboub Baccouch Original Paper 22 March 2024
Numerical algorithms for the fast and reliable solution of periodic tridiagonal Toeplitz linear systems Ji-Teng JiaYi-Fan Wang Original Paper 21 March 2024
A spectral approach using fractional Jaiswal functions to solve the mixed time-fractional Black-Scholes European option pricing model with error analysis Fares AlazemiAbdulaziz AlsenafiAlireza Najafi Original Paper 20 March 2024
Multi-block relaxed-dual linear inertial ADMM algorithm for nonconvex and nonsmooth problems with nonseparable structures Yazheng DangLiyuan ChenYan Gao Original Paper 20 March 2024
A rotated shift-splitting method for complex symmetric linear systems Snigdhashree NayakDebasisha MishraNachiketa Mishra Original Paper 18 March 2024
Properties and practicability of convergence-guaranteed optimization methods derived from weak discrete gradients Kansei UshiyamaShun SatoTakayasu Matsuo Original Paper Open access 14 March 2024
Correction to: High-order linearly implicit exponential integrators conserving quadratic invariants with application to scalar auxiliary variable approach Shun Sato Correction Open access 13 March 2024
\(O(1/k^2)\) convergence rates of (dual-primal) balanced augmented Lagrangian methods for linearly constrained convex programming Tao ZhangYong XiaShiru Li Original Paper 11 March 2024
High-order nonstandard finite difference methods preserving dynamical properties of one-dimensional dynamical systems Manh Tuan Hoang Original Paper 08 March 2024
