期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (332)
Based on the semi-discrete artificial boundary condition introduced by Ji, Yang, and Antoine [Comput. Phys. Commun. 222 (2018), pp. 84-93] for the two......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (329)
The variable two-step backward differentiation formula (BDF2) is revisited via a new theoretical framework using the positive semi-definiteness of BDF......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (329)
New superconvergence structures are introduced by the finite volume element method (FVEM), which gives us the freedom to choose the superconvergent po......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (332)
In this article we introduce a number of explicit schemes, which are amenable to Khasminski's technique and are particularly suitable for highly nonli......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (328)
In this article, we introduce the notion "L-p-probabilistic convergence" (1 <= p <= infinity) of stochastic Bernstein polynomials built upon ord......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (330)
In this paper, the first family of conforming discrete three dimensional Gradgrad-complexes consisting of finite element spaces is constructed. These ......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (330)
We study the recovery of functions in real spline spaces from unsigned sampled values. We consider two types of recovery. The one is to recover functi......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (332)
Consider the scattering of a time-harmonic plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in two dimensions. In......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (329)
We propose two approximate versions of the first-order primaldual algorithm (PDA) to solve a class of convex-concave saddle point problems. The introd......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (327)
Quantiles and expected shortfalls are usually used to measure risks of stochastic systems, which are often estimated by Monte Carlo methods. This pape......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (327)
We focus on establishing an algorithm to solve the tensor eigenvalue complementarity problem (TEiCP), and we have two contributions in this paper. Fir......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (327)
In this work, we consider the numerical integration of the nonlinear Dirac equation and the Dirac-Poisson system (NDEs) under rough initial data. We p......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (327)
In this paper, we provide a detailed convergence analysis for a first order stabilized linear semi-implicit numerical scheme for the nonlocal Cahn-Hil......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (327)
This paper addresses the three concepts of consistency, stability and convergence in the context of compact finite volume schemes for systems of nonli......
期刊： MATHEMATICS OF COMPUTATION, 2021; 90 (327)
Analysis of Galerkin-mixed FEMs for incompressible miscible flow in porous media has been investigated extensively in the last several decades. Of par......
