期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2021; 21 (3)
Transfer operators such as Perron-Frobenius and Koopman operator play a key role in modeling and analysis of complex dynamical systems, which allow li......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2021; 21 (3)
In this paper, we mainly study the error analysis of an unconditionally energy stable local discontinuous Galerkin (LDG) scheme for the Cahn-Hilliard ......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2021; 21 (3)
This short article serves as an epilog of the thirteen preceding papers in this special issue of CMAM. All contributions are authored by participants ......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2021; 21 (3)
In this paper, a class of multilevel preconditioning schemes is presented for solving the linear algebraic systems resulting from the application of M......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2021; 21 (3)
The global arrangement of the degrees of freedom in a standard Argyris finite element method (FEM) enforces C-2 at interior vertices, while solely glo......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2021; 21 (3)
In this paper, we propose an H(curl(2))-conforming spectral elements to solve the quad-curl problem on cubic meshes in three dimensions. Starting with......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2021; 21 (1)
A conforming triangular mixed element recently proposed by Hu and Zhang for linear elasticity is extended by rearranging the global degrees of freedom......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2021; 21 (1)
Local discontinuous Galerkin method is considered for ime-dependent singularly perturbed semi linear problems with boundary layer. The method is equip......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2020; 20 (2)
This paper analyzes an interface-unfitted numerical method for distributed optimal control problems governed by elliptic interface equations. We follo......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2020; 20 (3)
In this article, we study the numerical approximation of a variable coefficient fractional diffusion equation. Using a change of variable, the variabl......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2020; 20 (3)
In this paper, we apply the multilevel augmentation method for solving ill-posed Fredholm integral equations of the first kind via iterated Tikhonov r......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2020; 20 (3)
A robust finite element method is introduced for solving elastic vibration problems in two dimensions. The temporal discretization is carried out usin......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2020; 20 (3)
The Schwarz waveform relaxation (SWR) algorithms have many favorable properties and are extensively studied and investigated for solving time dependen......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2019; 19 (2)
In this paper, we first give a quick review of the current status of the invisibility cloak with meta-materials. Then we focus on the carpet cloak mod......
期刊： COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2019; 19 (2)
In this paper, stable mixed formulations are designed and analyzed for the quad div problems under two frameworks presented in [23] and [22], respecti......
