期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (4)
In this paper, some two-scale finite element discretizations are introduced and analyzed for a class of nonlinear elliptic eigenvalue problems on tens......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (5)
We propose and analyze a time-stepping Crank-Nicolson(CN) alternating direction implicit(ADI) scheme combined with an arbitrary-order orthogonal splin......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (5)
Typically, parametrization captures the essence of a class of matrices, and its potential advantage is to make accurate computations possible. But, in......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (3)
In this paper, we consider the multi-order fractional differential equation and recast it into an integral equation. Based on the integral equation, w......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (3)
In this paper, we propose a three-level linearized implicit difference scheme for the two-dimensional spatial fractional nonlinear complex Ginzburg-La......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (5)
The generalized discrete Gronwall inequality is applied to analyze the optimal H-1 error estimate of the time-stepping spectral method for the time-fr......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (3)
We study a posteriori error analysis of linear-quadratic boundary control problems under bilateral box constraints on the control which acts through a......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (4)
In this paper, an improved superconvergence analysis is presented for both the Crouzeix-Raviart element and the Morley element. The main idea of the a......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (5)
We present an alternative approach proposed by Albrecht to derive general order conditions for Runge-Kutta-Nystrom methods and relate it to the classi......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (4)
In this paper, we study Cayley-transform-based gradient and conjugate gradient algorithms for optimization on Grassmann manifolds. We revisit the Cayl......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (5)
In this paper, we construct several efficient scalar auxiliary variable (SAV) schemes based on the Fourier-spectral method in space for the Cahn-Hilli......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (2)
The l parameterized generalized eigenvalue problems for the nonsquare matrix pencils, proposed by Chu et al.in 2006, can be formulated as an optimizat......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (3)
We consider in this paper numerical approximations of the immiscible binary mixture of nematic liquid crystals (LCs) and viscous fluids. We develop a ......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (2)
Large-scale nonsymmetric eigenvalue problems are common in various fields of science and engineering computing. However, their efficient handling is c......
期刊： ADVANCES IN COMPUTATIONAL MATHEMATICS, 2021; 47 (3)
In the paper, a variational Bayesian method is used to identify the reaction coefficient for space-time nonlocal diffusion equations using nonlocal av......
