期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (3)
In this paper, the monolithic multigrid method is investigated for reduced magnetohydrodynamic equations. We propose a diagonal Braess-Sarazin smoothe......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (5)
This paper presents a second-order direct arbitrary Lagrangian Eulerian (ALE) method for compressible flow in two-dimensional cylindrical geometry. Th......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (4)
In this paper, we theoretically and numerically verify that the discontinuous Galerkin (DG) methods with central fluxes for linear hyperbolic equation......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (5)
A nonlinear fully implicit finite difference scheme with second-order time evolution for nonlinear diffusion problem is studied. The scheme is constru......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (5)
In this paper, we consider a modified alternating positive semidefinite splitting preconditioner for solving the saddle point problems arising from th......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (5)
In this paper, we derive a residual based a posteriori error estimator for a modified weak Galerkin formulation of second order elliptic problems. We ......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (4)
Schwarz method is put forward to solve second order backward stochastic differential equations (2BSDEs) in this work. We will analyze uniqueness, conv......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (5)
We consider numerical methods to solve the Allen-Cahn equation using the second-order Crank-Nicolson scheme in time and the second-order central diffe......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (4)
Implicit-explicit Runge-Kutta-Rosenbrock methods are proposed to solve nonlinear stiff ordinary differential equations by combining linearly implicit ......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (5)
This paper focuses on a fast and high-order finite difference method for two-dimensional space-fractional complex Ginzburg-Landau equations. We firstl......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (4)
Shifted symmetric higher-order power method (SS-HOPM) has been proved effective in solving the nonlinear eigenvalue problem oriented from the Bose-Ein......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (5)
Precision matrix estimation is an important problem in statistical data analysis. This paper proposes a sparse precision matrix estimation approach, b......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (4)
Iterative ILU factorizations are constructed, analyzed and applied as preconditioners to solve both linear systems and eigenproblems. The computationa......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (3)
For symmetric tensors, computing generalized eigenvalues is equivalent to a homogenous polynomial optimization over the unit sphere. In this paper, we......
期刊： JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021; 39 (3)
Optimization problems with L-1-control cost functional subject to an elliptic partial differential equation (PDE) are considered. However, different f......
