期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 165 ()
In this paper, we propose third-order semi-discretized schemes in space based on the tempered weighted and shifted Grunwald difference (tempered-WSGD)......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 162 ()
This paper focuses on developing the reduced-order extrapolated model based on the splitting implicit finite difference (SIFD) scheme and the proper o......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 162 ()
Finding analytical and semi-analytical solutions of two-dimensional nonlinear fractional order problems arising in mathematical physics is a challengi......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 165 ()
In the paper, the high-order conservative schemes are presented for space fractional nonlinear Schrodinger equation. First, we give two class high-ord......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 165 ()
In this paper, we study the numerical method for solving forward-backward stochastic differential equations driven by G-Brownian motion (G-FBSDEs) whi......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 166 ()
This paper deals with the discrete maximum principle and energy stability of a new difference scheme for solving Allen-Cahn equations. By combining th......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 166 ()
The G-transformation is an efficient method for solving the weighted least squares problems. However, the underflows were not considered in the origin......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 169 ()
For the large and sparse linear systems, we utilize the efficient splittings of the system matrix and introduce an intermediate variable. The main con......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 170 ()
In this paper an indirect spectral method of an optimal control problem governed by a space-fractional diffusion equation with variable diffusivity co......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 170 ()
In this paper, energy-preserving time high-order average vector field (AVF) compact finite difference scheme is proposed and analyzed for solving two-......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 169 ()
In this paper, we develop a fast numerical method for solving the time-dependent Riesz space fractional diffusion equations with a nonlinear source te......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 170 ()
Terminal value problems of fractional nonlinear systems are studied in this paper. The existence and uniqueness are given. The regularity of the solut......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 167 ()
In this article, novel linearized implicit difference schemes with energy conservation property for fractional Klein-Gordon-Zakharov system are constr......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 167 ()
In this paper, we study a regularized Lie-Trotter splitting spectral method for a regularized space-fractional logarithmic Schrodinger equation by int......
期刊： APPLIED NUMERICAL MATHEMATICS, 2021; 169 ()
A proximal augmented method for solving semidefinite programs is introduced. This method is based on the Augmented Lagrangian method. We study the the......
