期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 94 (1)
This paper studies the eigenvalues of quaternion tensors and their applications. Firstly, we investigate the definitions and properties of the left an......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 94 (1)
In this paper, we present a pressure-based semi-implicit numerical scheme for a first order hyperbolic formulation of compressible two-phase flow with......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 94 (3)
In this work we study various continuous finite element discretization for two dimensional hyperbolic partial differential equations, varying the poly......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 94 (3)
In this paper, a spectral Petrov-Galerkin method is developed to solve an optimal control problem governed by a two-sided space-fractional diffusion-r......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 94 (3)
A high-order finite-volume scheme with anisotropic adaptive mesh refinement (AMR) is combined with a parallel inexact Newton method for the solution o......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 95 (3)
In this paper, we study the H1-conforming virtual element method for the spatial discretization of semilinear parabolic equations with inhomogeneous D......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 95 (3)
Due to its significance in terms of wave phenomena a considerable effort has been put into the design of preconditioners for the Helmholtz equation. O......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 96 (1)
In this paper, we propose a conforming virtual element method based on an unfitted mesh to solve the elliptic interface problem in two dimensions. The......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 96 (1)
Anderson acceleration (AA) is a popular method for accelerating fixed-point iterations, but may suffer from instability and stagnation. We propose a g......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 96 (2)
This paper presents a novel Arrow-Hurwicz type method for approximating the steady-state Navier Stokes equations using the finite element method. The ......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 96 (3)
In this paper, we propose a stochastic Gauss-Newton (SGN) algorithm to study the online principal component analysis (OPCA) problem, which is formulat......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 96 (3)
In this paper, we concentrate on the robust tensor completion (RTC) problem, which aims to recover a low-rank tensor from partial observations corrupt......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 97 (2)
We study numerical algorithms for solving Biot's model. Based on a three-field reformulation, we present some algorithms that are inspired by the work......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 95 (1)
The generalized Nash equilibrium problem (GNEP) is a kind of game to find strategies for a group of players such that each player's objective function......
期刊： JOURNAL OF SCIENTIFIC COMPUTING, 2023; 95 (1)
This paper introduces a novel approach to compute the numerical fluxes at the cell boundaries for a cell-centered conservative numerical scheme. Expli......
