期刊： BIT NUMERICAL MATHEMATICS, 2021; 61 (3)
This paper presents a long-term analysis of one-stage extended Runge-Kutta-Nystrom (ERKN) integrators for highly oscillatory Hamiltonian systems. We s......
期刊： BIT NUMERICAL MATHEMATICS, ; ()
A class of block boundary value methods (BBVMs) is constructed for linear weakly singular Volterra integro-differential equations (VIDEs). The converg......
期刊： BIT NUMERICAL MATHEMATICS, ; ()
We study a priori error estimates of discontinuous Galerkin (DG) methods for solving a quasi-variational inequality, which models a frictional contact......
期刊： BIT NUMERICAL MATHEMATICS, ; ()
The rates of strong convergence for various approximation schemes are investigated for a class of stochastic differential equations (SDEs) which invol......
期刊： BIT NUMERICAL MATHEMATICS, ; ()
We present randomized algorithms based on block Krylov subspace methods for estimating the trace and log-determinant of Hermitian positive semi-defini......
期刊： BIT NUMERICAL MATHEMATICS, ; ()
A uniformly second order accurate nested Picard iterative integrator (NPI) is proposed to solve a system of oscillatory ordinary equations involving a......
期刊： BIT NUMERICAL MATHEMATICS, ; ()
In this paper, a new kind of multigrid method is proposed for the ground state solution of Bose-Einstein condensates based on Newton iteration scheme.......
期刊： BIT NUMERICAL MATHEMATICS, ; ()
A high-order compact finite difference method on nonuniform time meshes is proposed for solving a class of variable coefficient reaction-subdiffusion ......
期刊： BIT NUMERICAL MATHEMATICS, ; ()
The space fractional Cahn-Hilliard phase-field model is more adequate and accurate in the description of the formation and phase change mechanism than......
期刊： BIT NUMERICAL MATHEMATICS, 2020; 60 (4)
The semi-implicit Euler-Maruyama (EM) method is investigated to approximate a class of time-changed stochastic differential equations, whose drift coe......
期刊： BIT NUMERICAL MATHEMATICS, 2020; 60 (2)
The Riemann-Liouville-Caputo (RLC) derivative is a new class of derivative that is motivated by modelling considerations; it lies between the more fam......
期刊： BIT NUMERICAL MATHEMATICS, 2020; 60 (2)
Two general operations are proposed on finite element differential complexes on cubical meshes that can be used to construct and analyze sequences of ......
期刊： BIT NUMERICAL MATHEMATICS, 2020; 60 (4)
The steady state fractional convection diffusion equation with inhomogeneous Dirichlet boundary is considered. By utilizing standard boundary shifting......
期刊： BIT NUMERICAL MATHEMATICS, 2020; 60 (3)
This paper is concerned with the least squares inverse eigenvalue problem of reconstructing a linear parameterized real symmetric matrix from the pres......
期刊： BIT NUMERICAL MATHEMATICS, 2020; 60 (3)
The present article revisits the well-known stochastic theta methods (STMs) for stochastic differential equations (SDEs) with non-globally Lipschitz d......
