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An Approximate Augmented Lagrangian Method for Nonnegative Low-Rank Matrix Approximation

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 88 (2)

Nonnegative low-rank (NLR) matrix approximation, which is different from the classical nonnegative matrix factorization, has been recently proposed fo......

Strong Convergence of the Modified Inertial Extragradient Method with Line-Search Process for Solving Variational Inequality Problems in Hilbert Spaces

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 88 (3)

The aim of this paper is to give a strong convergence theorem of a new iterative algorithm for solving variational inequalities with pseudomonotone an......

A Linearized Compact ADI Scheme for Semilinear Parabolic Problems with Distributed Delay

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 87 (1)

Effective compact alternating direction implicit (ADI) schemes are developed for solving the semilinear parabolic problems with distributed delay. Sol......

The High Order Augmented Finite Volume Methods Based on Series Expansion for Nonlinear Degenerate Parabolic Equations

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 88 (1)

Two high order multi-augmented and improved augmented finite volume methods are proposed for solving nonlinear degenerate parabolic problems. The solu......

Second-Order SAV Schemes for the Nonlinear Schrodinger Equation and Their Error Analysis

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 88 (3)

We consider a second-order SAV scheme for the nonlinear Schrodinger equation in the whole space with typical generalized nonlinearities, and carry out......

Quasi-Toeplitz Trigonometric Transform Splitting Methods for Spatial Fractional Diffusion Equations

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 89 (1)

The random walk model describing the super-diffusion competition phenomenon of particles can derive the spatial fractional diffusion equation. For irr......

Positivity-Preserving Well-Balanced Arbitrary Lagrangian-Eulerian Discontinuous Galerkin Methods for the Shallow Water Equations

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 88 (3)

In this paper, we develop well-balanced arbitrary Lagrangian-Eulerian discontinuous Galerkin (ALE-DG) methods for the shallow water equations, which p......

Fast IIF-WENO Method on Non-uniform Meshes for Nonlinear Space-Fractional Convection-Diffusion-Reaction Equations

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 89 (1)

In this article, our goal is to establish fast and efficient numerical methods for nonlinear space-fractional convection-diffusion-reaction (CDR) equa......

High-Order Bound-Preserving Finite Difference Methods for Incompressible Wormhole Propagation

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 89 (1)

In this paper we continue our effort in Guo et al. ( J Comput Phys 406:109219, 2020) for developing high-order bound-preserving (BP) finite difference......

A Dimensional Splitting Exponential Time Differencing Scheme for Multidimensional Fractional Allen-Cahn Equations

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 87 (1)

This paper is concerned with numerical methods for solving the multidimensional Allen-Cahn equations with spatial fractional Riesz derivatives. A full......

An Analysis on the Finite Volume Schemes and the Discrete Lyapunov Inequalities for the Chemotaxis System

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 87 (2)

We analyze two finite volume schemes, linear and nonlinear, for the chemotaxis system in two-dimensional domain, which preserve the mass conservation ......

Unfitted Nitsche's Method for Computing Wave Modes in Topological Materials

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 88 (1)

In this paper, we propose an unfitted Nitsche's method for computing wave modes in topological materials. The proposed method is based on the Nitsche'......

Meshless Symplectic and Multi-symplectic Local RBF Collocation Methods for Hamiltonian PDEs

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 88 (3)

This study presents a novel meshless symplectic and multi-symplectic local radial basis function (RBF) collocation method (LRBFCM) for Hamiltonian par......

A Barzilai-Borwein Gradient Algorithm for Spatio-Temporal Internet Traffic Data Completion via Tensor Triple Decomposition

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 88 (3)

With the coming of high-speed network and 5G era, internet traffic data is crucial for various network tasks such as traffic engineering, capacity pla......

The Unified Theory of Shifted Convolution Quadrature for Fractional Calculus

期刊: JOURNAL OF SCIENTIFIC COMPUTING, 2021; 89 (1)

This work devotes to developing a systematic and convenient approach based on the celebrated convolution quadrature theory to design and analyze diffe......

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